Chapter6LaminarFlowofViscousFluid§§;.§:1)fluidisisotropic;2)stresstensoriscontinuousfunctionoftransformativevelocitytensor;3)instaticfluid,,thegeneralNewtonianinternalfrictiontheoremcanbewrittenas:.§-StokesEquationPuttheconstitutionalequationintoCauchyequation,pressiblefluidcontinuityequation,getAboveequationisknownasNavier-Stokesequation,orN-Sequation.§-StokesEquationTheN-SequationinCartesiancoordinates:§-StokesEquationTheN-SequationinCylindricalcoordinates:§,pressureandviscousforce,inunittime.§,icenergyexpression,icenergyequationinintegralformis:Itshowsthatthechangeofworksdonebyoutsideforce,,whichisusedtobalancetheviscousforceanddissipateinthermalenergyform.§:InCartesiancoordinates,dissipationfunctionis:andinCylindricalcoordinates,itis§,pressibilitycanbeignored,isUsingdivergencetheorem,icenergyequationisgiven:pressiblefluidwithlinearviscosity:
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