printing date: 04/18/2023 document.xls v1.00 (18/11/2003)

Rev.: A Sheet: 1

By: FR Of: 2

CLIENT:

JOB:

AIR RECEIVER CALCULATIONSProcess Data

= 249 SCMH total air consumption

= 0 % air dryer consumption

249 SCMH total air requirement

Fluid AirM = 28.9 g/mol molecular weightg = 1.4 - heat capacity ratio (Cp/Cv)

= 29.1 J/(mol K) heat capacity

Discharge from Vessel

= 249 SCMH discharge flow rate

= 5.08 kg/min discharge mass flow rate

= 9.3 barg initial pressure

= 6.5 barg final pressure

t = 20.70 min time

= 37.8 °C initial temperature

Isothermal Process

Final Temperature

= 37.8 °C

Exchanged Heat9,408 kJ 2,247 kcal

Average Heat Exchange Rate7.6 kW 109 kcal/min

Required VolumeV = 34.1 m³

Adiabatic Process

Final Temperature

= 11.3 °C

Exchanged Heat0 kJ 0 kcal

Average Heat Exchange RateQ = 0 kW 0 kcal/min

Required VolumeV = 45.8 m³

ns

nd

Cp

ns

ms

P0

Pf

T0

Tf

Tf

printing date: 04/18/2023 document.xls v1.00 (18/11/2003)

printing date: 04/18/2023 document.xls v1.00 (18/11/2003)

Rev.: A Sheet: 2

caso A Qentrada 600 By: FR Of: 2

CLIENT:

JOB:

AIR RECEIVER CALCULATIONSVessel Design

1 - number of vessels

OD = 84.00 in outer diameter 2,134 mm 2,102Ltt = 12,497 mm length t/t

V = 45.780 m³ volume per vessel

= 45.780 m³ total volume

5.9 - Ltt/OD

= 11.4 barg design pressure

S = 20 ksi maximum allowable stress

E = 1 - welding efficiency

C = 3.20 mm corrosion thicknessr = 7,800 kg/m³ material density

= 12.0 mm required thickness

= 0.63 in standard thickness 16.0 mmW = 11,919 kg empty weight per vessel

Vessel Filling

= 1,019 SCMH inlet flow rate

= 249 SCMH outlet flow rate

= 20.77 kg/min inlet mass flow rate

= 5.08 kg/min outlet mass flow rate

= 6.5 barg initial pressure

= 9.3 barg final pressure

= 11.3 °C initial temperature

= 500.0 °C inlet temperature

Isothermal Process

Final Temperature

= 11.3 °C

Required Timet = 9.8 min

Adiabatic Process

Final Temperature Calculated Final Pressure

= 86.3 °C 9.29 barg

Required Time SOLVEDt = 2.2 min 0.00

Vtot

Pd

tr

tstd

ne

ns

me

ms

P0

Pf

T0

Te

Tf

Tf

printing date: 04/18/2023 document.xls v1.00 (18/11/2003)

Rev.: A Sheet:

By: FR Of:

CLIENT:

JOB:

AIR RECEIVER CALCULATIONSVessel Design

EQUATIONS

Volume Calculation

Discharge from Vessel

Isothermal Process

Vessel Volume

Total Exchanged Heat

Adiabatic Process

Vessel Volume

Initial Mole Nomber

Vessel Sizing & Filling

Vessel Sizing

Required Vessel Thickness

Vessel Filling

Isothermal Process

Required time

2 0.4d

R Cd

P ODt t

S E P

0

s

f

RT n tV

P P

11

p f sQ C T t n

g

0fV P Pt

RT n

0 0

0

0 1

0

1

s

f

RT nV

P

tn n

P

P

g

printing date: 04/18/2023 document.xls v1.00 (18/11/2003)

Adiabatic Process

Temperature-time equation

Pressure-time equation

Time Constant

References

11

f

nsn T T n n te e s n

n T T n ne e o s

gg g

g g

0 1f

Rn tP

V

3

0

0

e

s

Vesselvolume m

JUniversal Gas Constant 8.3145

m K

Initial Pressure Pa

Final Pressure Pa

Initial Absolute Temperature K

Final Absolute Temperature K

n Inlet Molar Flow Rate mol/s

n Outlet Molar Flow Rate m

f

f

V

R

P

P

T

T

0

p

v

ol/s

n Net Molar Flow Rate mol/s

n Initial Mole Number mol

Time s

C= Heat Capacity Ratio -

C

Q Exchanged Heat J

t

g

Inlet Absolute Temperature KeT

0n

n