Instead of the control-volume formulation, such as the Reynolds transport theorem (Eqs. 11.5 and 11.6 of...

Instead of the control-volume formulation, such as the Reynolds transport theorem (Eqs. 11.5 and 11.6 of WMD), please consult fluid mechanics textbooks such as “Viscous Fluid Flow” by F.M. White (Chapter 1 & 2) and derive the Navior-Stokes equation for a Newtonian fluid flow starting from Newton’s second law: F= ma where F, m, a are the force, mass, and acceleration respectively, following a fluid element. In the derivation you should state (or argue) clearly the assumptions you made and the following key terms:

(1) How the stress and strain rate tensors are defined on a fluid element and their relationship.

(2) the definition of a “Newtonian” fluid,

(3) the definition of the coefficient of viscosity and the coefficient of bulk

viscosity (the second coefficient of viscosity)

(4) the relation between the thermodynamic pressure and the mean flow

pressure

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samet mamat answered 2 years ago

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