viscosity
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SHEAR
Whenforcesactparalleltothesurfaceareaofthematter,internalstress(force/surfacearea)betweenadjacentlayersofsurfaceresisttherelativemovementoflayers.
SHEARandSHEARRATE:(Figure601)
Withtheapplicationofforce,ifalayermoveswithvelocityVatadistanceofrthen
Shearrate=V/r
VISCOSITY:
Viscosityisawaytodescribehowmuchresistanceafluidmeltedpolymerexhibitswhenanattemptismadetomakeitflow.Highviscositymeansthemeltisthickandresistancetoflowishigh.Lowviscositymeansresistanceflowisless.
Justassolidsurfacesincontactexertfrictionalforceoneachother,therelativemotionoflayersofliquidisalsorestrictedbyfriction.Thisinternalresistancetoflowexistingbetweentwoliquidlayerswhentheyaremovedrelativetoeachotheriscalledviscosity.
Considertheflowofliquidthroughapipeandimaginethatliquidmovesinlayers.Theliquidmoveswhenthereexiststhepressuredifferencebetweenthepipeends.Theliquidinthecenterofpipewouldbemovingwithhighervelocitythantheliquidlayerattheinternalwallofthepipe.Thisisbecausethefrictionalforcesactbetweenthelayersofliquid.Thereforethereexistsavelocitygradientbetweenpipewallandcenterofpipe.Suchmotionofliquidisknownaslaminarflow.Thevelocityofparticlesatagivendistancefromthecenterofmotionisconstant.Ifthelayersintermixwegetturbulentflow.
Astreamlineisacurvewhosetangentalwaysliesalongthedirectionofmotionoffluidatthatpoint.Thestreamlinesnevercrossandinlaminarflowtheydonotchangewithtime.
Itisobservedthatfrictionalforceisdirectlyproportionaltotheproductof
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velocitygradientandcrosssectionalarea.
F=Axvelocitygradient=Axdv/dr
=coefficientofviscisity.A=crosssectionalarea.dv/dr=velocitygradient.
TangentialstressesShearstress==VelocitygradientShearrateForcedistanceUnitsisx=Pascalsec.=Pas.Areadistance/sec.
Viscosityvarieswithtemperature.
Fluid Viscosity
Pasat200C
Fluid Viscosity
Pasat200C
Air 1.8x105 Blood 34x103
Glycerol 8.3x101 Water 1x103
CastsorOil 2.42 Mercury 1.5x103
SHEARSTRESS/SHEARRATECURVE:(Figure602)
Fromtheaboveplasticflowcurveitisobservedthattheviscosityreducesastheshearrateincreases.Differentpolymerswillexhibitdifferentcurveofthesamenature.
SHEARTHININGatcompressionzoneofSCREW
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ShearinginNozzle
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