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Mathematics, 10.04.2020 18:37 KallMeh

In a Newtonian viscous fluid the constitutive equation is T- -pS, + KDi-S, 2 μD,,. where Kis the bulk viscosity, μ is the shear viscosity, and p is the thermodynamic pressure (not in general equal to - Tu/3). Show that in such ;a fluid the stress power consists of two parts, one of which is always nonnegative and therefore represents a dissipation of mechanical power (not convertible into kinetic energy). If this dissipation power is denoted by 2Wo write the forms taken by Eqs. (5.4.2) and (5.4.7). Inpnt * pv. vdV +T LdV, input - (5.4.2b) Energy Equation (nonpolar case)t dt (5.4.7) Cartesian components.

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In a Newtonian viscous fluid the constitutive equation is T- -pS, + KDi-S, 2 μD,,. where Kis the bul...
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