ABSTRACT

The viscous, heat-conducting conservation equations utilizing Fourier’s equation and a Newtonian fluid are reexamined. The equations are first formulated in orthogonal curvilinear coordinates. Subsequently, the equations are nondimensionalized using Cartesian coordinates. We thereby make explicit the dependence on a number of nondimensional parameters. Sections 13.2 and 13.3 are therefore particularly important for the later analysis in Parts IV and V. Section 13.4 is devoted to a brief discussion of the bulk viscosity, while the last section discusses flow in a duct with heat transfer and skin friction.