Heat Transfer: Governing Equations
CHAPTER 1 GOVERNING EQUATIONS [1]
In this section the Navier - Stokes, energy and continuity equations for steady-state, 2D, incompressible flow with constant thermal properties are illustrated. A meaning of all symbols used for physical quantities are given and terms associated with fluid inertia, viscous force, pressure gradient, body force, convection, conduction and viscous dissipation are clearly explained. Furthermore, an explanation of the Stokes Hypothesis is given.
1.1 Navier-Stokes equation
(1)
The Navier-Stokes equation (1) is composed by the inertial terms (l.h.s) which arise from the momentum changes and are opposed by the pressure gradient ∂p/∂x, viscous forces (in the square brackets) which always act to retard the flow, and if present, body forces, Fx.
1.2 Energy equation
(2)
The energy equation (2) on the left hand side term......
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