matlab programs for fundamental, church, osborne...

Annexure A: MATLAB Programs For Fundamental, Church, Osborne And Unified Designs

“Studies on Radial Tipped Centrifugal Fan” 295

ANNEXURE - A

MATLAB PROGRAMS FOR FUNDAMENTAL, CHURCH, OSBORNE AND UNIFIED DESIGNS

FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN % Fundamental Design for

Centrifugal Fan

clc; clear all;

%Q=input('Q='); %Ps=input('Ps='); %Pd=input('Pd='); %N=input('N='); %q=input('q='); %Z=input('Z=');

%B2=input('B2='); %Ts=input('Ts='); %Ta=input('Ta='); %Pa=input('Pa=');

%t=input('t=');

%Cd=input('Cd='); %d=input('d=');

%ks=input('ks='); %ki=input('ki');

%kv=input('kv='); %f=input('f=');

% Church Design for Centrifugal Fan

clc;

clear all;

%Q=input('Q='); %Ps=input('Ps='); %Pd=input('Pd='); %N=input('N='); %q=input('q='); %Z=input('Z=');

%B2=input('B2='); %Ts=input('Ts='); %Ta=input('Ta='); %Pa=input('Pa=');

%t=input('t=');

%Cd=input('Cd='); %d=input('d=');

%ks=input('ks='); %ki=input('ki');

%kv=input('kv='); %f=input('f=');

% Osborne Design for Centrifugal Fan

clc;

clear all;

Q=0.5; Ps=-196.4; Pd=784.8; qa=1.165;

a1=90; B2=90; Z=16;

N=2800; t=2*10^-3;

Cd=0.6; d=2*10^-3;

ks=0.65; ki=0.25; kv=0.4;

f=5*10^-3; DP=Pd-Ps; DP1=DP;

Q1=Q;

% Unified Design for Centrifugal Fan

clc;

clear all;

Q=0.5; DPs=-196.4; DPt=784.8;

N=2800; q=1.165;

Z=16; Teye=303; Ta=303;

Pa=1.01325*10^5; Pd=102109.8;

Td=303; a1=90; B2=90;

Ddu=0.199; Pex=102109.8;

k=0.6; rPr=196.5; t=2*10^-3;

Cd=0.6;



FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN n=input('Enter Number of

Iteration n=');

Q=0.5; Ps=-196.4; Pd=784.8; N=2800; q=1.165;

Z=16; Ts=303; Ta=303;

Pa=1.01325*10^5; a1=90; B2=90;

t=2*10^-3;

Cd=0.6; d=2*10^-3;

ks=0.65; ki=0.25; kv=0.4;

f=5*10^-3;

DP=Pd-Ps; DP1=DP;

Q1=Q;

for i=1:n

D1=(264*Q1/pi^2/N)^(1/3);

n=input('Enter Number of Iteration n=');

Q=0.5;

Ps=-196.4; Pd=784.8; N=2800; q=1.165;

Z=16; Ts=303; Ta=303;

Pa=1.01325*10^5; a1=90; B2=90;

Ddu=0.199; Pex=102109.8;

rPr=196.5; t=2*10^-3;

Cd=0.6; d=2*10^-3;

ks=0.65; ki=0.25; kv=0.4;

f=5*10^-3; wtcf=0.925;

R=287; y=1.4; g=9.81;

Pex1=Pex; Cp=y*R/(y-1);


u2=(DP1/qa/((1-(pi/Z)*sin(B2))-0.5*0.3^2))^(1/2);

%(['u2=',num2str(u2)]); D2=u2*60/pi/N;

%(['D2=',num2str(D2)]); r2=D2/2;

%(['r2=',num2str(r2)]); vm2=0.2*u2;

%(['vm2=',num2str(vm2)]); vm1=vm2;

%(['vm1=',num2str(vm1)]); vu2=u2*(1-pi*sin(B2)/Z); %(['vu2=',num2str(vu2)]); v2=sqrt(vm2^2+vu2^2); %(['v2=',num2str(v2)]);

wu2=u2-vu2; %(['wu2=',num2str(wu2)]); w2=sqrt(vm2^2+wu2^2); %(['w2=',num2str(w2)]);

a2=atan(vm2/vu2); a2=a2*180/pi;

%(['a2=',num2str(a2)]); veye=0.4*u2;

%(['veye=',num2str(veye)]); Deye=sqrt(4*Q1/pi/veye);

%(['Deye=',num2str(Deye)]); D1=1.03*Deye;

%(['D1=',num2str(D1)]);

d=2*10^-3; ks=0.65; ki=0.25; kv=0.4;

f=5*10^-3; wtcf=0.925;

R=287; y=1.4; g=9.81;

Pd1=Pd;

Cp=y*R/(y-1); DPi=DPt-DPs;

DP1=DPi; Q1=Q;


for i=1:n qa=Pa/R/Ta;

%(['qa=',num2str(qa)]); m=Q*qa;

%(['m=',num2str(m)]); Peye=Pa+DPs;

%(['Peye=',num2str(Peye)]); qeye=Peye/R/Teye;

%(['qeye=',num2str(qeye)]); qd=Pd/R/Td;

(['qd=',num2str(qd)]); DPi=DPt-DPs;



FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN Deye=D1; r1=D1/2;

%disp(['r1=',num2str(r1)]); U1=pi*D1*N/60;

V1=U1/1.1; Veye=V1; Vm1=V1;

w1=(U1^2+Vm1^2)^(1/2); B1=atan(Vm1/U1);

B1=B1*180/pi; b1=Q1/(pi*D1-Z*t)/Vm1;

%disp(['DP=',num2str(DP)]); W=Q1*DP1; W=W*1.1;

%disp(['W=',num2str(W)]); w=W/q/Q1;

%disp(['w=',num2str(w)]); U2=(W/q/Q1/0.8)^(1/2);

D2=U2*60/pi/N; r2=D2/2;

%disp(['r2=',num2str(r2)]); Vu2=0.8*U2;

b2=b1; Vm2=Q1/(pi*D2-Z*t)/b2;

wu2=U2-Vu2; %disp(['wu2=',num2str(wu2)]);

w2=(Vm2^2+wu2^2)^(1/2); V2=(Vm2^2+Vu2^2)^(1/2);

a2=atan(Vm2/Vu2); a2=a2*180/pi;

DP=Pd-Ps; DP1=DP;

Q1=Q;

for i=1:n qa=Pa/R/Ta;

%(['qa=',num2str(qa)]); m=Q*qa;

%(['m=',num2str(m)]); vdu=16; % asumed

%(['vdu=',num2str(vdu)]); Ddu=(4*Q/pi/vdu)^(1/2);

%(['Ddu=',num2str(Ddu)]); veye=18; % asumed

%(['veye=',num2str(veye)]);

svh=veye^2/2/g; %(['svh=',num2str(svh)]);

Peye=Pa-rPr; %(['Peye=',num2str(Peye)]);

SPR=Peye/Pa; %(['SPR=',num2str(SPR)]);

Teye=Ta*SPR^((y-1)/y); %(['Teye=',num2str(Teye)]);

qeye=Peye/R/Teye; %(['qeye=',num2str(qeye)]);

Qeye=m/qeye; %(['Qeye=',num2str(Qeye)]);

Deye=(4*Qeye/pi/veye)^(1/2); %(['Deye=',num2str(Deye)]);

r1=D1/2; %(['r1=',num2str(r1)]);

u1=pi*D1*N/60; %(['u1=',num2str(u1)]);

b1=Q1/pi/D1/vm1; %(['b1=',num2str(b1)]);

v1=Q1/pi/D1/b1; %(['v1=',num2str(v1)]);

b2=Q1/pi/D2/vm2; %(['b2=',num2str(b2)]);

wu1=u1; %(['wu1=',num2str(wu1)]); w1=sqrt(vm1^2+wu1^2); %(['w1=',num2str(w1)]);

v1=vm1; %(['v1=',num2str(v1)]);

B1=atan(vm1/wu1); B1=B1*180/pi;

%(['B1=',num2str(B1)]); v4=0.3*u2;

%(['v4=',num2str(v4)]); bv=2*b2;

%(['bv=',num2str(bv)]); A4=Q1/v4;

%(['A4=',num2str(A4)]); r3=0.005+D2/2;

%(['r3=',num2str(r3)]); D3=2*r3;

%(['D3=',num2str(D3)]); e=0.00215;

%(['DPi=',num2str(DPi)]); qav=(qeye+qd)/2;

%(['qav=',num2str(qav)]); Hi=DP1/g/qav;

%(['Hi=',num2str(Hi)]); Ns=2*pi*N/60*(Q1)^(1/2)/(g*

Hi)^(3/4); %(['Ns=',num2str(Ns)]);

Sc=0.379*N/60*(Q1)^(1/2)/(Hi)^(3/4);

%(['Sc=',num2str(Sc)]); % a=0.99 where 0.1 < Sc <

0.4 % =1.5 whee 0.4 < Sc < 2

% b=0.995 where 0.1 < Sc < 0.4

% =0.5866 where 0.4 < Sc < 1

% =0.505 where 1 < Sc < 2

a=1.5; b=0.5866;

Dc=a*Sc^(-b); %(['Dc=',num2str(Dc)]);

Pc=1/Sc^2/Dc^2; %(['Pc=',num2str(Pc)]);

u2=(DP1/((q/2)*(Pc)))^(1/2); D2=(60*u2)/(pi*N);

vm2=0.2*u2; vm1=vm2;



FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN V4=(-

2*DP1/q+V1^2+2*w)^(1/2); bv=2.5*b2;

r3=r2+0.005; D3=2*r3;

%disp(['D3=',num2str(D3)]); r4=Q1/V4/bv+r3;

Hs=r4-r3; D4=2*r4;

%disp(['D4=',num2str(D4)]); rt=1.075*r2;

%disp(['rt=',num2str(rt)]); Ot=132/(Vm2/Vu2)*log10(rt/r2);Ql=pi*Cd*D1*d*(4*DP1/3/q)^(1

/2); sPl=0.5*ks*q*V1^2;

iPl=0.5*ki*q*(w1-w2)^2; vPl=0.5*kv*q*(V2-V4)^2;

Tdf=0.2*pi*f*q*U2^2*r2^3; Wdf=2*pi*N*Tdf/60;

Eh=DP1/(DP1+sPl+iPl+vPl); Eh=Eh*100;

Ev=Q1/(Q1+Ql); Ev=Ev*100;

E=(Eh*Ev)/100; DP1=DP+sPl+iPl+vPl;

Q1=Q+Ql; E=E/100;

W=DP1*Q1/E+Wdf; T=W*60/2/pi/N;

OPR=Pex1/Peye; %(['OPR=',num2str(OPR)]);

Had=Cp*Teye/g*(OPR^((y-1)/y)-1); %(['Had=',num2str(Had)]);

D1=1.015*Deye; % taking slightly greater ten Deye %(['D1=',num2str(D1)]);

r1=D1/2; %(['r1=',num2str(r1)]);

u1=pi*D1*N/60; %(['u1=',num2str(u1)]);

wu1=u1; % without inlate guide wane

%(['wu1=',num2str(wu1)]); v1=1.055*veye; % taking

slightly higher then veye %(['v1=',num2str(v1)]);

vm1=v1; % without inlate guide wane

%(['vm1=',num2str(vm1)]); w1=(vm1^2+wu1^2)^(1/2);

%(['w1=',num2str(w1)]); B1=atan(vm1/wu1);

B1=1.03*B1*180/pi; % taking 3% extra

%(['B1=',num2str(B1)]); A1=1.03*Qeye/vm1; % taking 3% extra to componset for leakage losses

%(['A1=',num2str(A1)]); b1=A1/pi/D1/wtcf;

r4=r3*(1+e*360); %(['r4=',num2str(r4)]);

Hs=r4-r3; %(['Hs=',num2str(Hs)]);

rt=1.075*r2; %(['rt=',num2str(rt)]);

Ot=132/(vm2/vu2)*log10(rt/r2); %(['Ot=',num2str(Ot)]);

Ql=pi*Cd*D1*d*(4*DP1/3/qa)^(1/2);%(['Ql=',num2str(Ql)]); sPl=0.5*ks*qa*veye^2; %(['sPl=',num2str(sPl)]);

iPl=0.5*ki*qa*(w1-w2)^2; %(['iPl=',num2str(iPl)]);

vPl=0.5*kv*qa*(v2-v4)^2; %(['vPl=',num2str(vPl)]);

Tdf=0.2*pi*f*qa*u2^2*r2^3; %(['Tdf=',num2str(Tdf)]);

Wdf=2*pi*N*Tdf/60; %(['Wdf=',num2str(Wdf)]);

v4=Q1/Hs/bv; %(['v4=',num2str(v4)]);

Eh=DP1/(DP1+sPl+iPl+vPl); Eh=Eh*100;

%(['Eh=',num2str(Eh)]); Ev=Q1/(Q1+Ql);

Ev=Ev*100; %(['Ev=',num2str(Ev)]);

E=(Eh*Ev)/100; %(['E=',num2str(E)]);

Vc=1/Sc/Dc^3; %(['Vc=',num2str(Vc)]);

b2=Vc*(u2)*(D2)/((vm2)*(4)); b1=b2;

veye=0.4*u2; Deye=sqrt((4*Q1)/(pi*veye));

%(['D1=',num2str(D1)]); D1=Deye/1.1;

r1=D1/2; %(['r1=',num2str(r1)]); u1=(pi*D1*N/60);

%(['Deye=',num2str(Deye)]); % veye=Q1*4/pi/Deye^2; %(['veye=',num2str(veye)]);

% v1=veye; % %(['v1=',num2str(v1)]);

% % u1=1.1*v1;

% %(['u1=',num2str(u1)]); %

v1=vm1; %

%(['vm1=',num2str(vm1)]); %

% b1=Q1/(pi*D1-Z*t); %(['b1=',num2str(b1)]);

% wu1=u1;

%(['wu1=',num2str(wu1)]); w1=sqrt(wu1^2+vm1^2);



FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN %disp(['T=',num2str(T)]);

Ds=(16*4*T/pi/343/10^5)^(1/3); B1=B1*pi/180;

rb=0.5*(r2^2-r1^2)/r1/cos(B1); B1=B1*180/pi;

%%%%%%

disp(['',num2str(Deye)]); disp(['',num2str(Veye)]); disp(['',num2str(U1)]); disp(['',num2str(w1)]);

disp(['',num2str(Vm1)]); disp(['',num2str(V1)]); disp(['',num2str(D1)]); disp(['',num2str(b1)]); disp(['',num2str(a1)]); disp(['',num2str(B1)]); disp(['',num2str(U2)]); disp(['',num2str(w2)]); disp(['',num2str(Vu2)]); disp(['',num2str(Vm2)]); disp(['',num2str(V2)]); disp(['',num2str(D2)]); disp(['',num2str(b2)]); disp(['',num2str(a2)]); disp(['',num2str(B2)]); disp(['',num2str(bv)]); disp(['',num2str(V4)]); disp(['',num2str(r3)]); disp(['',num2str(r4)]);

%(['b1=',num2str(b1)]); K=0.6;

u2=(Had*g/K)^(1/2); % K is Church fector in orker to account for

%(['u2=',num2str(u2)]); % friction and turbulance losses.

D2=u2*60/pi/N; %(['D2=',num2str(D2)]);

r2=D2/2; %(['r2=',num2str(r2)]);

vm2=0.85*vm1; % vm2 is taken 15% less then vm1

%(['vm2=',num2str(vm2)]); vu2=u2*(1-pi/Z);

%(['vu2=',num2str(vu2)]); % considaring sleip effect

v2=(vm2^2+vu2^2)^(1/2); %(['v2=',num2str(v2)]);

wu2=u2-vu2;

%(['wu2=',num2str(wu2)]); w2=(vm2^2+wu2^2)^(1/2);

%(['w2=',num2str(w2)]); a2=atan(vm2/vu2); a2=a2*180/pi;

%(['a2=',num2str(a2)]); Hvir=0.5/g*(u2^2-u1^2+w1^2-vm2^2);

% virtual heat develope by impeller %(['Hvir=',num2str(Hvir)]); %

DP1=DP+sPl+iPl+vPl; %(['DP1=',num2str(DP1)]);

Q1=Q+Ql; %(['Q1=',num2str(Q1)]);

E=E/100; W=DP1*Q1/E+Wdf;

%(['W=',num2str(W)]); T=W*60/2/pi/N;

%(['T=',num2str(T)]); Ds=(16*4*T/pi/343/10^5)^(1/3);

%(['Ds=',num2str(Ds)]); Ba=B1*pi/180;

rb=0.5*(r2^2-r1^2)/r1/cos(Ba); %(['rb=',num2str(rb)]);

disp(['',num2str(Deye)]); disp(['',num2str(veye)]); disp(['',num2str(u1)]); disp(['',num2str(w1)]);

disp(['',num2str(vm1)]); disp(['',num2str(v1)]); disp(['',num2str(D1)]); disp(['',num2str(b1)]); disp(['',num2str(a1)]); disp(['',num2str(B1)]); disp(['',num2str(u2)]); disp(['',num2str(w2)]); disp(['',num2str(vu2)]); disp(['',num2str(vm2)]); disp(['',num2str(v2)]); disp(['',num2str(D2)]);

%(['w1=',num2str(w1)]); % Hs=veye^2/2/g;

%(['Hs=',num2str(Hs)]); % Hs=r4-r31;

Peye=Pa+DPs; %(['Peye=',num2str(Peye)]);

PRI=Pd1/Peye; %(['PRI=',num2str(PRI)]);

PRS=Pa/Peye; %(['PRS=',num2str(PRS)]); Teye=Ta/PRS^((y-1)/y);

%(['Teye=',num2str(Teye)]); qeye=Peye/R/Teye;

%(['qeye=',num2str(qeye)]); Q1=m/qeye;

%(['Q1=',num2str(Q1)]); B1=atan(vm1/wu1);

B1=B1*180/pi; %(['B1=',num2str(B1)]); % u2=(Hi*g/k)^(1/2); %(['u2=',num2str(u2)]);

% D2=u2*60/pi/N; %(['D2=',num2str(D2)]);

r2=D2/2; %(['r2=',num2str(r2)]);

B2=B2*pi/180; vu2=u2*(1-pi/Z*sin(B2)); %(['vu2=',num2str(vu2)]);

B2=B2*180/pi; %vm2=0.85*vm1;



FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN disp(['',num2str(Hs)]); disp(['',num2str(rt)]); disp(['',num2str(Ot)]); disp(['',num2str(sPl)]); disp(['',num2str(iPl)]); disp(['',num2str(vPl)]); disp(['',num2str(Ql)]); disp(['',num2str(Tdf)]); disp(['',num2str(Wdf)]); disp(['',num2str(Eh)]); disp(['',num2str(Ev)]); disp(['',num2str(E)]);

disp(['',num2str(DP1)]); disp(['',num2str(Q1)]); disp(['',num2str(rb)]); disp(['',num2str(Ds)]); disp(['',num2str(W)]);

disp(' ');

%%%%%%% end

without considaring slip T2=Hvir*g/Cp+Teye;

%(['T2=',num2str(T2)]); P2=Peye*(T2/Teye)^(y/(y-1));

%(['P2=',num2str(P2)]); q2=P2/T2/R;

%(['q2=',num2str(q2)]); Qout=1.03*m/q2; % taking

3% extra %(['Qout=',num2str(Qout)]);

A2=Qout/vm2; %(['A2=',num2str(A2)]);

B3=B2*pi/180; e2=(pi*D2-Z*t/sin(B3))/pi/D2; % e2

is outlet vane thickness fector %(['e2=',num2str(e2)]);

b2=A2/pi/D2/e2; %(['b2=',num2str(b2)]);

bv=3*b2; %(['bv=',num2str(bv)]);

r3=D2/2+0.005; %(['r3=',num2str(r3)]);

J=0; r4=r2;

for n=1:1:10000 dr=0.00005; ra=r4-dr/2;

dJ=(360*r2*vu2/Qout)*bv*dr/ra; J=J+dJ;

r4=r4+dr;

disp(['',num2str(b2)]); disp(['',num2str(a2)]); disp(['',num2str(B2)]); disp(['',num2str(bv)]); disp(['',num2str(v4)]); disp(['',num2str(r3)]); disp(['',num2str(r4)]); disp(['',num2str(Hs)]); disp(['',num2str(rt)]); disp(['',num2str(Ot)]); disp(['',num2str(sPl)]); disp(['',num2str(iPl)]); disp(['',num2str(vPl)]); disp(['',num2str(Ql)]); disp(['',num2str(Tdf)]); disp(['',num2str(Wdf)]); disp(['',num2str(Eh)]); disp(['',num2str(Ev)]); disp(['',num2str(E)]);

disp(['',num2str(DP1)]); disp(['',num2str(Q1)]); disp(['',num2str(rb)]); disp(['',num2str(Ds)]); disp(['',num2str(W)]);

disp(' ');

%(['vm2=',num2str(vm2)]); v2=sqrt(vm2^2+vu2^2); %(['v2=',num2str(v2)]);

wu2=u2-vu2; %(['wu2=',num2str(wu2)]); w2=sqrt(vm2^2+wu2^2); %(['w2=',num2str(w2)]);

a2=atan(vm2/vu2); a2=a2*180/pi;

%(['a2=',num2str(a2)]); Hvir=(u2^2-u1^2+w1^2-

vm2^2)/2/g; %(['Hvir=',num2str(Hvir)]);

T2=Hvir*g/Cp+Teye; %(['T2=',num2str(T2)]);

He=0.85*Hvir; %(['He=',num2str(He)]);

P2=Peye*((He*g/Cp/Teye+1)^(y/(y-1)));

%(['P2=',num2str(P2)]); q2=P2/T2/R;

%(['q2=',num2str(q2)]); Qout=m/q2;

%(['Qout=',num2str(Qout)]); A2=Qout/vm2;

%(['A2=',num2str(A2)]); b2=A2/(pi*D2-Z*t);

b1=b2; %(['b2=',num2str(b2)]);



FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN if (J>=360)

break end end

%(['r4=',num2str(r4)]); D4=2*r4;

%(['D4=',num2str(D4)]); rt=1.075*r2;

%(['rt=',num2str(rt)]); Ot=132/(vm2/vu2)*log10(rt/r2);

%(['Ot=',num2str(Ot)]); Hs=r4-r3;

%(['Hs=',num2str(Hs)]); A4=(r4-r3)*bv;

%(['A4=',num2str(A4)]); v4=Q/A4;

%(['v4=',num2str(v4)]); Ql=0.03*Q;

%(['Ql=',num2str(Ql)]); sPl=0.5*ks*qeye*veye^2; %(['sPl=',num2str(sPl)]);

qav=(qeye+q2)/2; iPl=0.5*ki*qav*(w1-w2)^2 ;

%(['iPl=',num2str(iPl)]); vPl=0.5*kv*q2*(v2-v4)^2; %(['vPl=',num2str(vPl)]);

Tdf=0.2*pi*f*q2*u2^2*r2^3; %(['Tdf=',num2str(Tdf)]);

Wdf=2*pi*N*Tdf/60; %(['Wdf=',num2str(Wdf)]);

% v4=(2/q2*(q2*vu2*u2-DP1))^(1/2);

%(['v4=',num2str(v4)]); r31=0.712*D2;

%(['r31=',num2str(r31)]); r32=0.837*D2;

%(['r32=',num2str(r32)]); r33=0.962*D2;

%(['r33=',num2str(r33)]); r4=r33;

%(['r4=',num2str(r4)]); Hs=r4-r31;

bv=0.75*D2; %(['bv=',num2str(bv)]);

hc=1.12*D2; %(['hc=',num2str(hc)]);

rtc=0.1*D2; %(['rtc=',num2str(rtc)]);

Av=0.65*hc*bv; v4=Qout/Av;

% Hv=(v2^2-v4^2)/2/g; %(['Hv=',num2str(Hv)]);

% rt=r31; %(['rt=',num2str(rt)]);

rt=1.075*r2; Ot=(132/(vm2/vu2))*log10(rt/r

2); %(['Ot=',num2str(Ot)]);

Ql=0.03*Q; %(['Ql=',num2str(Ql)]);



FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN Eh=DP1/(DP1+sPl+iPl+vPl);

Eh=Eh*100; %(['Eh=',num2str(Eh)]);


%(['Ev=',num2str(Ev)]); E=(Eh*Ev)/100;

%(['E=',num2str(E)]); DP1=DP+sPl+iPl+vPl;

%(['DP1=',num2str(DP1)]); Pex1=Pex+sPl+iPl+vPl;

%(['Pex1=',num2str(Pex1)]); OPR1=Pex1/Pa;

%(['OPR1=',num2str(OPR1)]); Q1=Q+Ql;

%(['Q1=',num2str(Q1)]); E=E/100;

W=DP1*Q1/E+Wdf; %(['W=',num2str(W)]);

T=W*60/2/pi/N; %(['T=',num2str(T)]);

Ds=(16*4*T/pi/343/10^5)^(1/3); %(['Ds=',num2str(Ds)]);

Bn=B1*pi/180; rb=0.5*(r2^2-r1^2)/r1/cos(Bn);

%(['rb=',num2str(rb)]); %('');

disp(['',num2str(Deye)]); disp(['',num2str(veye)]); disp(['',num2str(u1)]);

sPl=0.5*ks*qeye*veye^2; %(['sPl=',num2str(sPl)]);

qav=(qeye+q2)/2; iPl=0.5*ki*qav*(w1-w2)^2;

%(['iPl=',num2str(iPl)]); vPl=0.5*kv*q2*(v2-v4)^2; %(['vPl=',num2str(vPl)]);

Tdf=0.2*pi*f*q2*u2^2*r2^3; %(['Tdf=',num2str(Tdf)]); Wdf=2*pi*N*Tdf/60;

%(['Wdf=',num2str(Wdf)]); Eh=DP1/(DP1+sPl+iPl+vPl);

Eh=Eh*100; %(['Eh=',num2str(Eh)]);


%(['Ev=',num2str(Ev)]); E=(Eh*Ev)/100;

%(['E=',num2str(E)]); DP1=DPi+sPl+iPl+vPl;

%(['DP1=',num2str(DP1)]); Pd1=Pex+sPl+iPl+vPl;

%(['Pd1=',num2str(Pd1)]); OPR1=Pd1/Pa;

%(['OPR1=',num2str(OPR1)]); Q1=Q+Ql;

%(['Q1=',num2str(Q1)]); E=E/100;

W=DP1*Q1/E+Wdf; %(['W=',num2str(W)]);



FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN disp(['',num2str(w1)]); disp(['',num2str(vm1)]); disp(['',num2str(v1)]); disp(['',num2str(D1)]);

disp(['',num2str(b1)]); disp(['',num2str(a1)]); disp(['',num2str(B1)]);

disp(['',num2str(u2)]); disp(['',num2str(w2)]); disp(['',num2str(vu2)]); disp(['',num2str(vm2)]); disp(['',num2str(v2)]); disp(['',num2str(D2)]);


disp(['',num2str(bv)]); disp(['',num2str(v4)]); disp(['',num2str(r31)]); disp(['',num2str(r4)]); disp(['',num2str(Hs)]); disp(['',num2str(rt)]); disp(['',num2str(Ot)]); disp(['',num2str(sPl)]);

disp(['',num2str(iPl)]); disp(['',num2str(vPl)]);

disp(['',num2str(Ql)]); disp(['',num2str(Tdf)]); disp(['',num2str(Wdf)]); disp(['',num2str(Eh)]);

T=W*60/2/pi/N; %(['T=',num2str(T)]);

Ds=(16*4*T/pi/343/10^5)^(1/3);

%(['Ds=',num2str(Ds)]); Bn=B1*pi/180; rb=0.5*(r2^2-r1^2)/r1/cos(Bn);

%(['rb=',num2str(rb)]); disp(['',num2str(Deye)]); disp(['',num2str(veye)]); disp(['',num2str(u1)]); disp(['',num2str(w1)]); disp(['',num2str(vm1)]); disp(['',num2str(v1)]); disp(['',num2str(D1)]);


disp(['',num2str(u2)]); disp(['',num2str(w2)]); disp(['',num2str(vu2)]); disp(['',num2str(vm2)]); disp(['',num2str(v2)]); disp(['',num2str(D2)]);


disp(['',num2str(bv)]); disp(['',num2str(v4)]);



FUNDAMENTAL DESIGN CHURCH DESIGN OSBORNE DESIGN UNIFIED DESIGN disp(['',num2str(Ev)]); disp(['',num2str(E)]); disp(['',num2str(DP1)]); disp(['',num2str(Q1)]);

disp(['',num2str(rb)]); disp(['',num2str(Ds)]); disp(['',num2str(W)]);

%disp(' ');

end

disp(['',num2str(r31)]); disp(['',num2str(r4)]); disp(['',num2str(Hs)]); disp(['',num2str(rt)]); disp(['',num2str(Ot)]); disp(['',num2str(sPl)]);

disp(['',num2str(iPl)]); disp(['',num2str(vPl)]);

disp(['',num2str(Ql)]); disp(['',num2str(Tdf)]); disp(['',num2str(Wdf)]); disp(['',num2str(Eh)]); disp(['',num2str(Ev)]); disp(['',num2str(E)]); disp(['',num2str(DP1)]); disp(['',num2str(Q1)]);

disp(['',num2str(rb)]); disp(['',num2str(Ds)]); disp(['',num2str(W)]);

%disp(' ');

end

Annexure – B: CFD Analysis Observation Tables For BCRT And FCRT Centrifugal Fans


ANNEXURE - B

CFD ANALYSIS OBSERVATION TABLES FOR BCRT AND FCRT CENTRIFUGAL FANS

Section I

BCRT Z=12 N (rpm) = 2800

Volume Flow Rate Q

Static Pressure at Inlet

P1

Static Pressure

at Outlet

P2

Pstatic

Total Pressure at Inlet

P1

Total Pressure

at Outlet

P2

Ptotal Torque Power P Flow Coefficient

Pressure Coefficient

(m3/sec) (Pa) (Pa) (Pa) (Pa) (Pa) (Pa) (N-m) (Watts) 0.1 104.5 1336.7 1232.2 115.1 1353.8 1238.7 1.5079 441.9 0.0263 0.9524 0.2 -11.2 1065.6 1076.9 30.4 1091.4 1060.9 1.8378 538.6 0.0526 0.8323 0.3 -62.2 940.5 1002.6 30.2 981.2 951.0 2.3192 679.7 0.0788 0.7750 0.4 -102.8 761.0 863.8 60.4 827.0 766.6 2.8162 825.3 0.1051 0.6677 0.5 -150.8 471.4 622.2 105.1 583.5 478.5 3.3633 985.7 0.1314 0.4809 0.6 -191.6 57.6 249.2 177.0 247.2 70.3 3.0147 883.5 0.1577 0.1926

design point 0.5 -196.4 784.8 981.2 927.2 0.1630 0.8690



Section I

BCRT Z=16 N (rpm) = 2800

Volume Flow Rate Q


P1

Static Pressure

at Outlet

P2

Pstatic


P1

Total Pressure

at Outlet

P2




design point 0.5 -196.4 784.8 981.2 927.2 0.1630 0.8690



Section I

BCRT Z=24 N (rpm) = 2800

Volume Flow Rate Q


P1

Static Pressure

at Outlet

P2

Pstatic


P1

Total Pressure

at Outlet

P2




design point 0.5 -196.4 784.8 981.2 927.2 0.1630 0.8690



Section I

FCRT Z=12 N (rpm) = 2800

Volume Flow Rate Q


P1

Static Pressure

at Outlet

P2

Pstatic


P1

Total Pressure

at Outlet

P2




design point 0.5 -196.4 784.8 981.2 927.2 0.1630 0.8690



Section I

FCRT Z=16 N (rpm) = 2800

Volume Flow Rate Q


P1

Static Pressure

at Outlet

P2

Pstatic


P1

Total Pressure

at Outlet

P2



(m3/sec) (Pa) (Pa) (Pa) (Pa) (Pa) (Pa) (N-m) (Watts) 0.1 119.7 1530.3 1410.7 131.1 1536.1 1405.1 1.2182 357.0 0.0263 1.0904 0.2 8.3 1345.2 1336.9 49.9 1365.5 1315.5 1.6366 479.6 0.0526 1.0334 0.3 -48.8 1288.4 1337.2 43.5 1324.2 1280.7 2.1723 636.6 0.0788 1.0336 0.4 -109.8 1146.1 1255.8 54.0 1211.2 1157.3 2.7283 799.6 0.1051 0.9707 0.5 -169.8 936.8 1106.7 86.0 1041.7 955.6 3.2409 949.8 0.1314 0.8554 0.6 -241.2 645.0 886.3 127.3 811.8 684.5 3.7106 1087.5 0.1577 0.6850

design point 0.5 -196.4 784.8 981.2 927.2 0.1630 0.8690



Section I

FCRT Z=24 N (rpm) = 2800

Volume Flow Rate Q


P1

Static Pressure

at Outlet

P2

Pstatic


P1

Total Pressure

at Outlet

P2



(m3/sec) (Pa) (Pa) (Pa) (Pa) (Pa) (Pa) (N-m) (Watts) 0.1 123.6 1595.8 1472.2 135.1 1608.6 1473.5 1.3227 387.6 0.0263 1.1379 0.2 16.8 1463.6 1446.7 58.5 1484.6 1426.1 1.7146 502.5 0.0526 1.1182 0.3 -40.0 1411.0 1451.1 52.4 1448.0 1395.6 2.2481 658.8 0.0788 1.1216 0.4 -105.6 1292.8 1398.4 58.2 1356.7 1298.6 2.8413 832.7 0.1051 1.0809 0.5 -167.0 1131.6 1298.5 88.9 1234.8 1145.8 3.4351 1006.7 0.1314 1.0037 0.6 -237.7 917.7 1155.4 130.8 1072.0 941.2 4.0329 1181.9 0.1577 0.8930

design point 0.5 -196.4 784.8 981.2 927.2 0.1630 0.8690



Section II

Static Pressure, Total Pressure and Velocity Contours for BCRT Fan at Q= 0.5 m3/s, N=2500 rpm and Z=12, 16, 24

Sr.

No.

No. of

Blades

Static Pressure (Pa) Total Pressure (Pa) Velocity (m/s)

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

1 12 -137.57 -149.03 21.59 123.19 118.34 116.98 412.06 263.07 19.79 20.92 24.69 11.16

2 16 -149.76 -139.24 -58.09 383.58

106.13

106.57 582.42 500.91 19.79 19.94 32.36 11.26

3 24 -161.62 -102.70 -74.97 498.26 94.23 82.66 727.47 621.64 19.79 17.23 36.31 11.32


Sr.

No.

No. of

Blades


Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

1 12 -150.56 -152.67 -67.67 347.61 105.34 105.67 471.51 461.12 19.79 20.43 29.32 11.26

2 16 -152.39 -140.22 -6.44 525.25 103.50 101.30 718.27 637.52 19.79 19.80 34.48 11.36

3 24 -158.62 -107.80 7.92 620.84 97.24 83.69 888.64 740.48 19.79 17.57 38.11 11.49



Section II


Sr.

No.

No. of

Blades


Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

1 12 -150.83 -160.05 -29.64 471.39 105.07 106.22 605.59 583.52 19.79 20.77 32.01 11.30

2 16 -153.10 -145.55 41.40 681.59 102.78 99.45 860.60 790.02 19.79 19.95 36.69 11.32

3 24 -154.73 -114.03 48.75 814.56 101.13 86.19 1013.59 921.74 19.79 17.99 39.91 11.41

Static Pressure, Total Pressure and Velocity Contours for FCRT Fan at Q= 0.5 m3/s, N=2500 rpm and Z=12, 16, 24

Sr.

No.

No. of

Blades


Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

1 12 -168.23 -136.80 114.42 392.75 87.63 74.23 557.62 513.12 19.79 17.76 26.39 11.31

2 16 -168.38 -135.68 191.42 614.66 87.48 71.08 746.63 723.99 19.79 17.56 29.78 11.33

3 24 -165.60 -139.66 250.85 804.00 90.26 74.25 938.21 908.83 19.79 17.85 33.46 11.32



Section II


Sr.

No.

No. of

Blades


Eye inlet Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

1 12 -168.50 -138.44 175.88 529.50 87.36 70.88 665.11 644.76 19.79 17.65 27.75 11.27

2 16 -169.07 -140.74 269.56 771.81 86.79 69.77 887.40 878.19 19.79 17.70 31.47 11.28

3 24 -166.34 -146.32 334.82 962.77 89.53 70.87 1097.12 1066.65 19.79 17.97 35.28 11.27


Sr.

No.

No. of

Blades


Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

Eye

inlet

Impeller

inlet

Impeller

outlet

Casing

Outlet

1 12 -169.57 -143.11 241.27 679.82 86.29 68.18 785.40 790.71 19.79 17.69 29.32 11.25

2 16 -169.84 -146.79 354.37 936.83 86.034 68.18 1043.608 1041.68 19.79 17.87 33.31 11.25

3 24 -166.96 -153.94 423.56 1131.57 88.91 67.77 1267.77 1234.75 19.79 18.16 37.18 11.23

Annexure – C: Observation Tables for Phase I to Phase V Experimental Results

“Studies On Radial Tipped Centrifugal Fan” 314

ANNEXURE – C

OBSERVATION TABLES FOR PHASE I TO PHASE V EXPERIMENTAL RESULTS

Observation Tables of Phase I for Experimental Optimization of Finite Number of Blades under Varying Speed Conditions

Phase I Stage 1: Influence of Suction Pressure on Performance of the Centrifugal Fan (At constant Speed of 2800 rpm)

Number of Blades Z = 8

Orifice dia.

Pres. P1

Pres. P2

Pres. P3

Curre-nt Volts Input

PowerDischa-

rge Shaft Power P01 P02 P03 delta P

Static delta P Static

delta P Stagn

Airpower Static

Airpower Stagn

Eff. Static

Eff. Stagn.

metres m H2O m H2O m H2O Amp. V Watts m3/s Watts N/m2 N/m2 N/m2 m H2O N/m2 N/m2 Watts Watts % %

No flow 0.1173 1.1 415 610 0.0000 488.2 1151.2 0.1173 1151.2 1151.2 0.00 0.00 0.0 0.0

0.08 0.1226 0.1226 0.0046 0.9 415 510 0.1416 407.75 1218.9 1218.9 143.54 0.1272 1247.8 1362.5 176.72 192.96 43.3 47.3

0.09 0.1231 0.1249 0.0065 1.0 415 534 0.1796 427 1232.8 1251.1 222.54 0.1314 1289.5 1473.7 231.53 264.61 54.2 62.0

0.11 0.1115 0.0953 0.0114 1.1 418 606 0.2553 485.07 1146 986.95 433.37 0.1068 1047.2 1420.3 267.41 362.67 55.1 74.8

0.12 0.0925 0.0798 0.0127 1.2 415 621 0.2767 497.02 968.35 844.14 502.69 0.0925 907.16 1346.8 251.03 372.69 50.5 75.0

0.13 0.0869 0.0661 0.0148 1.3 412 709 0.3148 567.01 931.51 727.96 635.57 0.081 794.18 1363.5 249.99 429.22 44.1 75.7

0.15 0.0566 0.0437 0.0189 1.4 418 752 0.3383 601.69 646.94 520.21 754.32 0.0626 613.64 1274.5 207.56 431.11 34.5 71.7





Orifice dia.

Pres. P1

Pres. P2

Pres. P3


PowerDischa-



delta P Stagn

Airpower Static

Airpower Stagn

Eff. Static

Eff. Stagn.


No flow 0.1236 1.0 415 537 0.0000 429.44 1213 0.1236 1213 1213 0.00 0.00 0.0 0.0 0.08 0.1228 0.1247 0.0058 0.9 412 458 0.1417 366.19 1220.2 1239.2 155.63 0.1305 1280.1 1394.8 181.39 197.65 49.5 54.0 0.09 0.1237 0.1188 0.0059 0.9 412 495 0.1800 395.63 1239.2 1191.1 217.12 0.1247 1223.1 1408.2 220.18 253.51 55.7 64.1 0.11 0.1138 0.0914 0.0091 1.1 404 591 0.2579 472.89 1169.2 949.87 417.31 0.1006 986.63 1367.2 254.47 352.63 53.8 74.6 0.12 0.101 0.0833 0.0115 1.2 402 638 0.2892 510.46 1057.6 883.82 525.17 0.0948 929.52 1409 268.81 407.47 52.7 79.8 0.13 0.086 0.0679 0.0149 1.3 400 682 0.3131 545.35 921.67 744.55 630.95 0.0828 812.05 1375.5 254.27 430.69 46.6 79.0 0.15 0.0554 0.0429 0.0157 1.3 410 712 0.3347 569.61 633.61 510.39 711.7 0.0586 574.52 1222.1 192.32 409.09 33.8 71.8


Orifice dia.

Pres. P1

Pres. P2

Pres. P3


PowerDischa-



delta P Stagn

Airpower Static

Airpower Stagn

Eff. Static

Eff. Stagn.


No flow 0.122 0.9 410 463 0.0000 370.33 1197.2 0.122 1197.2 1197.2 0.00 0.00 0.0 0.0 0.08 0.1284 0.1275 0.0064 0.9 410 491 0.1449 392.85 1276.1 1267.1 166.11 0.1339 1313.4 1433.2 190.32 207.69 48.4 52.9 0.09 0.1252 0.1188 0.0074 1.0 410 524 0.1811 418.82 1254.8 1191.1 234.08 0.1262 1237.8 1425.1 224.22 258.16 53.5 61.6 0.11 0.1129 0.0985 0.021 1.2 410 623 0.2569 498.21 1159.8 1019 531.08 0.1196 1172.9 1550.1 301.29 398.19 60.5 79.9 0.12 0.1129 0.0827 0.0253 1.3 410 691 0.3058 552.42 1182.3 886.02 708.1 0.108 1059.9 1594.1 324.11 487.44 58.7 88.2 0.13 0.0903 0.0668 0.0128 1.3 410 673 0.3209 538.76 968.32 737 634.64 0.0795 780.06 1371.6 250.36 440.23 46.5 81.7 0.15 0.0594 0.0396 0.0168 1.4 410 762 0.3467 609.3 679.52 484.94 762.95 0.0565 554.01 1247.9 192.06 432.61 31.5 71.0





Orifice dia.

Pres. P1

Pres. P2

Pres. P3


PowerDischa-



delta P Stagn

Airpower Static

Airpower Stagn

Eff. Static

Eff. Stagn.

metres m H2O m H2O m H2O Amp. V Watts m3/s Watts N/m2 N/m2 N/m2 m H2O N/m2 N/m2 Watts Watts % % No flow 0.1285 0.6 390 302 0.0000 241.88 1261 0.1285 1261 1261 0.00 0.00 0.0 0.0

0.08 0.1269 0.1259 0.004 0.6 394 332 0.1441 265.86 1261.5 1251.7 141.23 0.1299 1274.4 1392.9 183.61 200.69 69.1 75.5 0.09 0.1261 0.117 0.005 0.8 390 411 0.1817 328.44 1263.1 1174.1 211.83 0.122 1197.3 1385.9 217.60 251.89 66.3 76.7 0.11 0.1168 0.0982 0.0083 1.1 392 562 0.2613 449.54 1200.3 1017.7 417.28 0.1065 1044.5 1435 272.95 375.00 60.7 83.4 0.12 0.1049 0.0839 0.0105 1.2 390 599 0.2947 478.9 1098.3 892.32 531.31 0.0944 926.04 1423.6 272.91 419.56 57.0 87.6 0.13 0.0883 0.067 0.0128 1.3 390 639 0.3173 511.26 946.5 737.66 623.36 0.0798 782.54 1361 248.31 431.86 48.6 84.5 0.15 0.0589 0.0436 0.0163 1.3 390 674 0.3449 539.59 672.77 522.94 752.26 0.0599 588.07 1275.2 202.85 439.87 37.6 81.5

Phase I Stage 2: Optimization of Finite Numbers of Blades under Varying Speed (At constant Orifice Diameter= 110 mm)


Speed Pres. P1

Pres. P2

Pres. P3


PowerDischa-



delta P Stagn

Airpower Static

Airpower Stagn

Eff. Static

Eff. Stagn.

rpm m H2O m H2O m H2O Amp. V Watts m3/s Watts N/m2 N/m2 N/m2 m H2O N/m2 N/m2 Watts Watts % % 600 0.005 0.004 0.002 0.8 45 47 0.0541 37.412 51.406 41.596 34.334 0.006 58.86 75.929 3.18 4.11 8.5 11.0 1000 0.014 0.012 0.002 1.15 100 149 0.0905 119.51 143.93 124.31 60.747 0.014 137.34 185.06 12.42 16.74 10.4 14.0 1400 0.018 0.024 0.005 1.4 125 227 0.1026 181.87 185.05 243.91 101.87 0.029 284.49 345.79 29.18 35.47 16.0 19.5 1800 0.043 0.039 0.005 1.55 165 332 0.1586 265.78 442.01 402.77 174.62 0.044 431.64 577.39 68.44 91.55 25.7 34.4 2200 0.07 0.058 0.007 1.58 213 437 0.2023 349.74 719.47 601.71 271.98 0.065 637.65 873.69 128.99 176.74 36.9 50.5 2700 0.105 0.088 0.01 1.35 325 570 0.2478 455.96 1079 912.19 400.9 0.098 961.38 1313.1 238.19 325.33 52.2 71.3 2800 0.1115 0.0953 0.0114 1.1 418 606.34 0.2553 485.07 1146 986.95 433.34 0.1068 1047.2 1420.3 267.39 362.65 55.1 74.8





Speed Pres. P1

Pres. P2

Pres. P3


PowerDischa-



delta P Stagn

Airpower Static

Airpower Stagn

Eff. Static

Eff. Stagn.

rpm m H2O m H2O m H2O Amp. V Watts m3/s Watts N/m2 N/m2 N/m2 m H2O N/m2 N/m2 Watts Watts % % 600 0.005 0.005 0.003 0.7 50 45 0.0541 36.373 51.406 51.406 44.142 0.008 78.48 95.548 4.24 5.17 11.7 14.2 1000 0.012 0.012 0.003 1 100 130 0.0838 103.92 123.37 123.37 64.692 0.015 147.15 188.06 12.32 15.75 11.9 15.2 1400 0.027 0.025 0.005 1.2 120 187 0.1256 149.65 277.56 257.94 128.14 0.03 294.3 386.08 36.97 48.51 24.7 32.4 1800 0.045 0.04 0.004 1.35 155 272 0.1622 217.46 462.57 413.51 170.61 0.044 431.64 584.12 70.01 94.74 32.2 43.6 2200 0.068 0.06 0.006 1.3 210 355 0.1994 283.71 698.92 620.42 256.46 0.066 647.46 876.87 129.09 174.83 45.5 61.6 2700 0.103 0.091 0.009 1.08 385 540 0.2454 432.11 1058.5 940.72 385.46 0.1 981 1326.2 240.73 325.43 55.7 75.3 2800 0.1138 0.0914 0.0091 1.1 404 591.12 0.2579 472.89 1169.2 949.87 417.28 0.1006 986.63 1367.1 254.46 352.60 53.8 74.6


Speed Pres. P1

Pres. P2

Pres. P3


PowerDischa-



delta P Stagn

Airpower Static

Airpower Stagn

Eff. Static

Eff. Stagn.

rpm m H2O m H2O m H2O Amp. V Watts m3/s Watts N/m2 N/m2 N/m2 m H2O N/m2 N/m2 Watts Watts % % 600 0.006 0.004 0.002 0.8 50 52 0.0592 41.569 61.687 42.066 37.273 0.006 58.86 79.339 3.49 4.70 8.4 11.3

1000 0.015 0.012 0.002 1.15 100 149 0.0936 119.51 154.21 124.78 63.676 0.014 137.34 188.45 12.86 17.65 10.8 14.8 1400 0.029 0.024 0.005 1.4 125 227 0.1302 181.87 298.12 249.06 133.97 0.029 284.49 383.03 37.04 49.87 20.4 27.4 1800 0.047 0.039 0.005 1.55 165 332 0.1658 265.78 483.12 404.63 186.2 0.044 431.64 590.82 71.55 97.94 26.9 36.8 2200 0.072 0.058 0.007 1.58 213 437 0.2052 349.74 740.02 602.64 277.71 0.065 637.65 880.34 130.82 180.61 37.4 51.6 2700 0.097 0.088 0.01 1.35 325 570 0.2381 455.96 996.86 908.53 378.26 0.098 961.38 1286.8 228.94 306.43 50.2 67.2 2800 0.1129 0.0985 0.0115 1.1 418 609.52 0.2569 487.62 1159.8 1019 437.52 0.11 1079 1456.5 277.17 374.14 56.8 76.7





Speed Pres. P1

Pres. P2

Pres. P3


PowerDischa-



delta P Stagn

Airpower Static

Airpower Stagn

Eff. Static

Eff. Stagn.

rpm m H2O m H2O m H2O Amp. V Watts m3/s Watts N/m2 N/m2 N/m2 m H2O N/m2 N/m2 Watts Watts % % 600 0.005 0.009 0.002 0.8 55 57 0.0541 45.726 51.406 90.647 34.334 0.011 107.91 124.98 5.83 6.76 12.8 14.8 1000 0.013 0.01 0.004 1 90 117 0.0872 93.531 133.65 104.22 77.429 0.014 137.34 181.65 11.97 15.84 12.8 16.9 1400 0.017 0.013 0.004 1.1 110 157 0.0997 125.75 174.77 135.53 89.141 0.017 166.77 224.67 16.63 22.40 13.2 17.8 1800 0.045 0.04 0.006 1.43 142 264 0.1622 211.03 462.57 413.51 190.21 0.046 451.26 603.72 73.19 97.92 34.7 46.4 2200 0.07 0.06 0.007 1.4 215 391 0.2023 312.81 719.47 621.34 271.98 0.067 657.27 893.32 132.96 180.71 42.5 57.8 2700 0.098 0.092 0.008 1.1 350 500 0.2394 400.1 1007.1 948.25 361.53 0.1 981 1309.8 234.81 313.51 58.7 78.4 2800 0.1168 0.0982 0.0083 1.1 392 561.93 0.2613 449.54 1200.3 1017.7 417.25 0.1065 1044.5 1434.9 272.94 374.97 60.7 83.4

Sample Calculations for Phase I Stage 2 at Number of Blades Z = 24

Speed Pres. P1

Pres. P2

Pres. P3


PowerDischa-



delta P Stagn

Airpower Static

Airpower Stagn

Eff. Static

Eff. Stagn.

rpm m H2O m H2O m H2O Amp. V Watts m3/s Watts N/m2 N/m2 N/m2 m H2O N/m2 N/m2 Watts Watts % % 2800 0.1168 0.0982 0.0083 1.1 392 561.93 0.2613 449.54 1200.3 1017.7 417.25 0.1065 1044.5 1434.9 272.94 374.97 60.7 83.4

√ φ ,

Where as φ = Power factor (which is assumed as 0.75)

√3 392 1.1035 0.75 561.93



•

(Efficiency of an induction motor is considered 80%)

561.93 0.8 449.54

• d 2 √ m ρw

ρf

63.193 2 √ v

Where as Pv = pressure head at vena-contracta of an orifice in m of H2O and Cd = 0.62

d 2 √ 2 m ρw

ρf1 0.62 4 0.110 2 9.81 0.1168

10001.165 1

63.193 0.110 2 √ 0.1168 0.2613 /

•

1044.5 0.2613 272.94

• ,

272.94449.54 0.607 60.7%

• ,

. 374.97449.54 0.834 83.4%



Phase - II: Experimental Investigations on Slip Factor at Varying Number of Blades and Speed Conditions


Degree Test Location Average Slip Factor

Average of Average Slip Factor

Empirical Values by Balje Stodola Stanitz

0 A 0.901

0.773 0.639 0.608 0.753

30 B 0.768 60 C 0.765 90 D 0.852 120 E 0.763 150 F 0.725 180 G 0.747 210 H 0.663




Emprical Values by Balje Stodola Stanitz

0 A 0.825

0.731 0.726 0.738 0.835

30 B 0.838 60 C 0.731 90 D 0.751 120 E 0.753 150 F 0.68 180 G 0.684 210 H 0.587



Phase - II: Experimental Investigations on Slip Factor at Varying Number of Blades and Speed Conditions




Emprical Values by Balje Stodola Stanitz

0 A 0.821

0.771 0.78 0.804 0.876

30 B 0.756 60 C 0.743 90 D 0.734 120 E 0.735 150 F 0.792 180 G 0.814 210 H 0.773




Empirical Values by Balje Stodola Stanitz

0 A 0.903

0.785 0.841 0.869 0.918

30 B 0.79 60 C 0.696 90 D 0.794 120 E 0.73 150 F 0.721 180 G 0.792 210 H 0.854



Phase - III: Comparative Assessment of Explicit Design Methodologies

Observation Table for Fundamental Design

Speed Damping Fan Inlet Fan Outlet Fan Fan Casing Casing Casing Casing Casing Input Shaft Avg. Air Avg. Air Satic Static Stag.

Pressure Pressure Delta P Delta P Pres. 900 Pres. 1200 Pres. 1800 Pres. 2400 Pres. 3000 Power Power Velocity Discharge Airpower Eff. Eff.

rpm % mm H2O mm H2O mm H2O Pa Pa Pa Pa Pa Pa watts watts m/sec m3/sec Watts % %

500 0% -2.0 2.0 4.0 39 6 3 32 9 19 52 42 3.7 0.084 3 6 7 25% -1.5 3.0 4.5 44 13 6 32 13 25 44 35 3.2 0.072 3 7 8 50% -3.0 3.0 6.0 59 16 9 32 16 32 32 26 1.7 0.038 2 7 7 75% -3.0 4.0 7.0 69 22 19 38 22 38 24 19 0.9 0.021 1 6 6

100% -3.0 3.0 6.0 59 19 13 32 16 32 20 16 0.0 0.000 0 0 0 1000 0% -3.0 2.0 5.0 49 28 32 54 41 57 124 99 7.7 0.175 9 7 11

25% -1.5 6.0 7.5 74 69 63 82 69 101 120 96 6.3 0.142 10 9 11 50% -2.0 11.0 13.0 128 76 76 98 95 126 72 58 3.2 0.074 9 13 14 75% -2.0 10.0 12.0 118 88 79 95 95 126 60 48 2.5 0.056 7 11 11

100% -2.0 9.0 11.0 108 101 95 101 107 139 40 32 0.0 0.000 0 0 0 1500 0% -11.0 12.0 23.0 226 82 95 132 126 139 256 205 11.4 0.258 58 23 29

25% -6.0 15.0 21.0 206 164 170 202 189 233 220 176 8.8 0.199 41 19 22 50% -0.5 21.5 22.0 216 170 167 214 214 259 132 106 4.8 0.109 24 18 19 75% -1.0 22.0 23.0 226 196 183 214 227 278 104 83 3.4 0.076 17 17 17

100% -1.5 22.0 23.5 231 214 208 208 227 278 72 58 0.0 0.000 0 0 0 2000 0% -21.0 2.0 23.0 226 139 164 233 221 246 404 323 17.9 0.405 91 23 39

25% -15.0 27.0 42.0 412 290 296 353 366 410 332 266 13.5 0.307 126 38 46 50% -3.0 39.0 42.0 412 334 328 397 429 486 200 160 6.4 0.145 60 30 31 75% -0.5 43.0 43.5 427 378 353 404 454 511 144 115 4.9 0.111 47 33 34






100% -0.5 41.0 41.5 407 397 378 385 429 492 112 90 0.0 0.000 0 0 0 2500 0% -37.0 2.0 39.0 383 246 271 404 397 404 532 426 17.9 0.405 155 29 41

25% -18.0 41.0 59.0 579 460 454 568 587 643 456 365 16.1 0.366 212 46 57 50% -4.0 63.0 67.0 657 530 505 618 669 751 244 195 7.4 0.167 110 45 47 75% -3.0 65.0 68.0 667 580 542 612 681 776 188 150 6.3 0.144 96 51 52

100% -1.0 66.0 67.0 657 650 606 624 694 788 140 112 0.0 0.000 0 0 0 2800 0% -49.8 2.1 51.9 509 307 347 491 497 504 680 544 22.1 0.502 255 38 56

25% -24.9 49.8 74.7 732 549 569 706 720 785 625 500 15.0 0.340 249 40 46 50% -4.1 77.8 81.9 804 641 628 772 831 942 334 267 7.5 0.170 136 41 42 75% -2.6 79.8 82.4 809 720 667 759 831 948 237 189 6.1 0.139 113 48 49

100% -0.5 89.2 89.7 880 778 733 752 837 942 169 135 0.0 0.000 0 0 0 Design

Pt. 0% -20 80 100 981 1022 817.5 25.8 0.5 491 60 80




Observation Table for Church Design




500 0% -2.0 3.0 5.0 49 25 19 25 6 32 80 64 2.3 0.053 3 3 3 25% -3.0 3.0 6.0 59 25 19 25 13 38 60 48 1.3 0.030 2 3 3 50% -3.0 3.0 6.0 59 25 19 25 6 32 60 48 0.6 0.013 1 1 1 75% -3.0 7.0 10.0 98 32 25 32 19 44 52 42 0.8 0.019 2 4 4

100% -3.0 7.0 10.0 98 50 50 57 38 76 60 48 0.0 0.000 0 0 0 1000 0% -1.0 4.0 5.0 49 107 95 120 120 145 240 192 5.0 0.114 6 2 3

25% -1.0 10.0 11.0 108 114 107 126 126 151 240 192 3.9 0.088 10 4 4 50% -3.0 18.0 21.0 206 126 107 145 139 183 168 134 1.9 0.044 9 5 5 75% -3.0 18.0 21.0 206 132 126 139 126 183 108 86 1.8 0.040 8 8 8

100% -2.0 22.0 24.0 235 151 151 158 158 208 100 80 0.0 0.000 0 0 0 1500 0% -3.0 3.0 6.0 59 214 214 252 246 303 420 336 8.5 0.193 11 3 4

25% -1.0 25.0 26.0 255 240 240 284 265 341 280 224 5.6 0.127 32 12 12 50% -2.0 35.0 37.0 363 240 208 246 252 315 180 144 2.3 0.052 19 10 11 75% -2.0 35.0 37.0 363 240 240 246 252 322 128 102 2.5 0.057 21 16 16

100% -3.0 41.0 44.0 432 296 303 290 296 385 120 96 0.0 0.000 0 0 0 2000 0% -7.0 5.0 12.0 118 366 366 442 429 492 580 464 10.0 0.227 27 5 7

25% -3.0 55.0 58.0 569 479 454 536 536 637 480 384 6.8 0.154 88 18 19 50% -2.0 66.0 68.0 667 460 435 486 542 643 260 208 2.9 0.067 45 17 17 75% -1.0 73.0 74.0 726 524 511 536 555 688 180 144 4.0 0.090 66 36 37

100% -2.0 73.0 75.0 736 542 549 536 574 706 160 128 0.0 0.000 0 0 0






2500 0% -13.0 6.0 19.0 186 599 587 719 700 788 748 598 14.3 0.324 60 8 13 25% -5.0 88.0 93.0 912 738 719 852 858 1009 528 422 8.2 0.186 170 32 33 50% -2.0 104.0 106.0 1040 725 669 788 852 997 380 304 4.9 0.112 117 31 31 75% -1.0 107.0 108.0 1059 788 757 801 852 1028 260 208 5.3 0.120 127 49 49

100% -2.0 112.0 114.0 1118 896 883 845 946 1123 200 160 0.0 0.000 0 0 0 2800 0% -17.6 7.3 24.9 244 752 765 903 883 1014 883 706 16.3 0.370 90 10 16

25% -8.3 87.1 95.4 936 903 890 1027 1053 1210 781 625 10.4 0.236 221 28 30 50% -2.1 134.8 136.9 1343 942 877 1027 1119 1308 444 355 5.3 0.120 161 36 37 75% -1.0 142.1 143.1 1404 1047 1014 1053 1138 1361 338 270 5.9 0.135 189 56 57

100% -2.1 142.1 144.1 1414 1079 1066 1047 1151 1374 275 220 0.0 0.000 0 0 0 Dsgn Pt. 0% -20 80 100 981 961 769 18.7 0.5 491 64 76




Observation Table for Osborne Design




500 0% -1.5 1.5 3.0 29 19 32 25 19 38 192 154 6.0 0.189 6 3 5 25% -1.0 4.5 5.5 54 38 44 44 32 57 120 96 3.5 0.111 6 5 6 50% -2.0 4.5 6.5 64 32 32 38 25 50 60 48 1.3 0.039 3 4 4 75% -2.0 6.5 8.5 83 57 54 63 54 82 64 51 0.8 0.027 2 3 3

100% -2.5 5.5 8.0 78 44 47 50 38 66 60 48 0.0 0.000 0 0 0 1000 0% -15.0 2.0 17.0 167 101 126 114 120 132 624 499 6.8 0.212 35 6 6

25% -4.0 16.0 20.0 196 145 180 177 196 227 420 336 8.6 0.271 53 13 15 50% -1.0 20.0 21.0 206 158 170 189 208 240 256 205 4.3 0.137 28 11 11 75% -1.5 22.0 23.5 231 189 196 221 233 271 184 147 2.3 0.073 17 9 9

100% -1.5 18.0 19.5 191 164 164 183 189 227 128 102 0.0 0.000 0 0 0 1500 0% -36.0 3.0 39.0 383 221 284 259 296 284 1104 883 14.7 0.462 177 16 21

25% -12.0 39.0 51.0 500 334 410 404 467 498 744 595 11.1 0.349 175 23 26 50% -1.5 45.0 46.5 456 353 391 429 492 536 488 390 5.7 0.180 82 17 17 75% 0.0 44.0 44.0 432 378 385 423 467 524 320 256 3.1 0.099 43 13 13

100% -0.5 43.0 43.5 427 404 385 429 473 517 228 182 0.0 0.000 0 0 0 2000 0% -70.0 3.5 73.5 721 397 549 498 561 542 1672 1338 20.8 0.654 472 28 37

25% -14.0 74.0 88.0 863 599 725 744 864 921 980 784 11.4 0.357 308 31 34 50% -3.0 81.0 84.0 824 656 669 681 864 927 576 461 5.3 0.167 138 24 24 75% -2.0 70.0 72.0 706 662 662 725 795 864 400 320 4.8 0.151 107 27 27

100% -1.5 79.0 80.5 790 738 719 782 864 946 348 278 0.0 0.000 0 0 0






2500 0% -100.0 10.0 110.0 1079 580 826 757 870 820 2144 1715 25.0 0.785 847 40 51 25% -28.0 118.0 146.0 1432 978 1198 1211 1451 1501 1340 1072 14.7 0.462 661 49 53 50% -9.0 130.0 139.0 1364 959 1085 1192 1400 1495 908 726 8.3 0.262 357 39 40 75% -5.0 124.0 129.0 1265 1085 1091 1186 1337 1451 576 461 6.5 0.204 258 45 46

100% -3.0 121.0 124.0 1216 1135 1123 1217 1375 1482 472 378 0.0 0.000 0 0 0 2800 0% -125.4 12.5 137.9 1353 728 1036 949 1092 1028 3012 2410 28.0 0.879 1190 39 51

25% -35.1 148.0 183.1 1796 1226 1503 1519 1819 1883 1883 1506 16.5 0.517 929 49 53 50% -11.3 163.0 174.3 1710 1202 1361 1495 1756 1875 1276 1021 9.3 0.293 501 39 40 75% -6.3 155.5 161.8 1587 1361 1368 1487 1677 1819 809 647 7.3 0.228 362 45 46

100% -3.8 151.7 155.5 1525 1424 1408 1527 1724 1859 663 531 0.0 0.000 0 0 0 Design

Pt. 0% -20 80 100 981 928 742.2 9.9 0.5 491 66 69



Phase - IV: Unified Design Methodology and Comparative Performance Evaluation of Forward and Backward Curved Radial Tipped

Centrifugal Fan

Observation Table for BCRT Fan

Speed Damping imp Inlet Fan Outlet Fan Fan Casing Casing Casing Casing Casing Input Shaft Avg. Air Avg. Air Satic Static Stag.

Pressure Pressure Delta P

Delta P Pres. 900 Pres. 1200 Pres. 1800 Pres. 2400 Pres. 3000 Power Power Velocity Discharge Airpower Eff. Tot. Eff. Tot.

rpm mm H2O mm H2O mm H2O Pa Pa Pa Pa Pa Pa watts watts m/sec m3/sec Watts % %

500 0% -3.0 3.0 6.0 59 0 6 12 12 6 90 72 2.3 0.127 7 8 9 25% -4.0 3.0 7.0 69 0 6 12 12 6 90 72 2.3 0.128 9 10 10 50% -3.0 5.0 8.0 78 12 18 24 0 6 80 64 2.1 0.114 9 11 11 75% 0.0 9.0 9.0 88 36 48 66 36 48 60 48 0.6 0.035 3 5 5

100% 1.0 10.0 9.0 88 42 54 66 42 60 40 32 0.0 0.000 0 0 0 1000 0% -16.0 5.0 21.0 206 12 12 36 6 0 280 223 4.8 0.263 54 19 20

25% -16.0 7.0 23.0 226 6 30 36 6 0 280 223 4.5 0.246 56 20 21 50% -10.0 9.0 19.0 186 48 60 66 42 36 220 175 4.2 0.231 43 20 20 75% -3.0 18.0 21.0 206 108 120 114 120 126 100 80 2.8 0.157 32 32 33

100% 1.0 21.0 20.0 196 138 150 156 144 162 80 64 0.0 0.000 0 0 0 1500 0% -36.0 4.0 40.0 392 24 12 42 42 18 560 445 7.3 0.404 159 28 30

25% -18.0 6.0 24.0 235 6 48 54 24 0 540 429 6.6 0.367 86 16 17 50% -12.0 20.0 32.0 314 108 126 78 132 126 510 405 6.5 0.358 112 22 23 75% -3.0 39.0 42.0 412 186 277 283 295 313 300 239 2.2 0.124 51 17 17

100% -1.0 41.0 42.0 412 301 313 325 325 355 180 143 0.0 0.000 0 0 0 2000 0% -64.0 2.0 66.0 647 60 0 30 0 48 820 652 9.8 0.543 352 43 46

25% -55.0 5.0 60.0 589 30 30 54 30 18 820 652 9.4 0.517 304 37 40 50% -40.0 31.0 71.0 697 180 216 229 229 198 740 588 8.9 0.492 343 46 49 75% -6.0 71.0 77.0 755 469 505 529 553 565 400 318 3.1 0.170 128 32 32

100% -3.0 71.0 74.0 726 523 535 553 565 613 240 191 0.0 0.000 0 0 0



Speed Damping imp Inlet Fan Outlet Fan Fan Casing Casing Casing Casing Casing Input Shaft Avg. Air Avg. Air Satic Static Stag.

Pressure Pressure Delta P

Delta P Pres. 900 Pres. 1200 Pres. 1800 Pres. 2400 Pres. 3000 Power Power Velocity Discharge Airpower Eff. Tot. Eff. Tot.

rpm mm H2O mm H2O mm H2O Pa Pa Pa Pa Pa Pa watts watts m/sec m3/sec Watts % %

2500 0% -107.0 3.0 110.0 1079 84 36 72 18 96 1080 859 12.4 0.682 736 68 73 25% -103.0 10.0 113.0 1109 48 72 108 78 24 1080 859 11.9 0.656 727 67 72 50% -59.0 63.0 122.0 1197 361 433 463 469 445 960 763 11.3 0.626 749 78 82 75% -8.0 115.0 123.0 1207 746 812 866 902 962 520 413 3.4 0.190 229 44 44

100% -3.0 115.0 118.0 1158 836 1173 914 926 992 200 159 0.0 0.000 0 0 0 2800 0% -131.7 2.2 133.9 1314 114 154 161 81 60 1392 1114 14.1 0.777 1021 73 79

25% -119.4 13.4 132.8 1303 181 201 208 114 67 1369 1095 13.3 0.736 959 70 75 50% -62.5 78.1 140.6 1379 463 523 570 604 523 1322 1057 13.0 0.718 990 75 79 75% -19.0 135.0 154.0 1511 872 946 1034 1080 1094 802 642 6.2 0.341 515 64 65

100% -3.3 142.8 146.2 1434 1047 1114 1148 1208 1289 260 208 0.0 0.000 0 0 0 Dsgn Pt. 0% -20 80 100 981 927 742 10.2 0.5 491 66 70



Phase - IV: Unified Design Methodology and Comparative Performance Evaluation of Forward and Backward Curved Radial Tipped

Centrifugal Fan

Observation Table for FCRT Fan




500 0% -5.0 4.0 9.0 88 0 12 24 6 6 120 95 2.6 0.144 13 11 11 25% -5.0 4.0 9.0 88 0 12 24 12 6 120 95 2.5 0.137 12 10 10 50% -3.0 5.0 8.0 78 6 24 36 12 24 110 87 2.1 0.117 9 8 9 75% 0.0 9.0 9.0 88 36 42 60 30 24 60 48 0.4 0.023 2 3 3

100% 0.0 10.0 10.0 98 54 54 66 42 54 40 32 0.0 0.000 0 0 0 1000 0% -20.0 4.0 24.0 235 24 0 18 12 24 420 334 5.2 0.287 68 16 17

25% -20.0 5.0 25.0 245 12 12 18 18 12 380 302 4.9 0.269 66 17 18 50% -10.0 10.0 20.0 196 48 60 66 54 54 320 254 4.5 0.246 48 15 16 75% 0.0 17.0 17.0 167 120 132 156 126 138 180 143 1.4 0.079 13 7 7

100% 0.0 20.0 20.0 196 126 144 186 132 144 100 80 0.0 0.000 0 0 0 1500 0% -43.0 3.0 46.0 451 78 18 12 12 60 760 604 7.8 0.433 195 26 27

25% -40.0 5.0 45.0 441 60 0 18 36 60 720 572 7.7 0.423 187 26 28 50% -22.0 26.0 48.0 471 132 162 180 168 150 640 509 7.3 0.404 190 30 31 75% -3.0 43.0 46.0 451 216 307 313 331 349 360 286 3.0 0.163 74 20 21

100% 0.0 45.0 45.0 441 301 319 337 343 367 180 143 0.0 0.000 0 0 0 2000 0% -82.0 2.0 84.0 824 144 36 6 18 114 1160 922 10.3 0.570 469 40 43

25% -71.0 8.0 79.0 775 108 0 48 30 60 1060 843 10.3 0.566 439 41 44 50% -39.0 46.0 85.0 834 241 301 325 337 307 920 731 10.3 0.567 473 51 55 75% -8.0 80.0 88.0 863 481 481 553 595 619 540 429 4.1 0.225 194 36 36

100% -2.0 81.0 83.0 814 571 601 631 661 692 300 239 0.0 0.000 0 0 0 2500 0% -126.0 1.0 127.0 1246 229 60 84 168 168 1540 1224 14.1 0.781 972 63 68






25% -120.0 10.0 130.0 1275 162 48 60 114 114 1460 1161 12.9 0.713 910 62 66 50% -82.0 52.0 134.0 1315 180 295 343 283 283 1320 1049 12.6 0.693 911 69 73 75% -12.0 116.0 128.0 1256 722 788 860 932 932 680 541 3.3 0.180 226 33 33

100% -4.0 117.0 121.0 1187 812 854 884 974 974 400 318 0.0 0.000 0 0 0 2800 0% -154.0 1.1 155.1 1522 268 242 161 201 201 1888 1510 15.7 0.865 1316 70 75

25% -148.4 3.3 151.8 1489 255 67 148 174 174 1817 1454 15.2 0.837 1246 69 74 50% -83.7 73.7 157.4 1544 423 470 557 510 510 1746 1397 14.3 0.788 1216 70 74 75% -19.0 147.3 166.3 1631 899 973 1074 1154 1154 897 717 5.2 0.288 470 52 53

100% -5.6 149.5 155.1 1522 1040 1141 1174 1275 1275 425 340 0.0 0.000 0 0 0

Dsgn Pt. 0% -20 80 100 981 927 742 10.2 0.5 491 66 70



Phase - V: Assessment of Theoretical and Experimental Losses

Detailed Theoretical Losses Types of losses given by → A.H.Church W.C. Osborne Eck Bruno D.J.Myles

Leakage loss ( m3 / s) 0.003975 0.023 0.0251 0.05049

Friction and turbulence in impeller eye 17.27

Flow separation loss 28.99

Impeller entrance loss 80.05 24.63

Friction and turbulence in impeller vane passages 17.4

Turbulence in impeller vane intlet 40.8

Retardation loss 47.84

Resultant pressure loss 3.76

Total loss in impeller(A) 75.47 109.04 76.23 99.69

Friction and turbulence in volute 6.16

Friction and turbulence in discharge passage 92.83

Total volute loss(B) 98.99 6.16 46.41 43.71

Total Hydraulic losses ( Pascals)

C = A+B 174.46 115.2 122.64 143.4

Disc friction loss (Watts) 12.76 1.628 10.55 10

Mechanical loss( Watts) 4.15

Total Mechanical loss ( Watts) 16.91 1.628 10.55 10



Phase - V: Assessment of Theoretical and Experimental Losses

Measured Parameters at Inlet and Outlet Conditions

Section in meter Measured Velocity m/s

Discharge m3/s

Total Pressure

Pa

Velocity Pressure Pa

Static Pressure Pa

Inlet Duct Conditions Diameter 0.121 15.3 0.176 54.4 136.4 - 82

Outlet Conditions

Width 0.074 and Height 0.139 14.84 0.153 340 128.3 211.7

Stage Design Conditions 0.159 456

Comparative Assessment of Theoretical and Experimental Losses

Design value Types of losses A.H.Church W.C. Oshborne Eck Bruno D.J.Myles Experimental

Loss Percentage

of design Value Loss Percentage of design Value Loss Percentage

of design Value Loss Percentage of design Value Loss

Percentage of design

Value

Volume Flow 0.159 m3 / s

Leakage loss

( m3 / s) 0.004 2.52% 0.023 14.47% 0.0251 15.79% 0.05049 31.75% 0.00636 4.00%

Static Pressure

Head 456 Pa Hydraulic

Loss (Pa) 174.5 38.27% 115.2 25.26% 122.64 26.89% 143.4 31.45% 162.3 35.59%

Shaft Power 103.6 Watts

Mechanical Loss

(Watts) 16.91 16.32% 1.628 1.57% 10.55 10.18% 10 9.65% 12.4 11.97%

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