Laminar Fluid Flow and Heat Transfer


The mathematical models describing the transfer processes are based on the system of the Navier-Stokes equations for momentum transfer and similar equations for energy and mass transfer. These equations are conservation laws expressed in terms of the velocity components, temperature, and concentration. For incompressible fluid flows with constant properties, these expressions are given by equations 1.4–1.8 (without dissipation function S) from Chapter 1 supplemented by equation for mass transfer similar to energy equation, where C is dimension-less concentration and ρDm is the coefficient similar to μ.

7.1Navier-Stokes, Energy, and Mass Transfer Equations
7.2Initial and Boundary Counditions
7.3Exact Solutions of Navier-Stokes and Energy Equations
7.4Cases of Small and Large Reynolds and Peclet Numbers
7.5Exact Solutions of Boundary Layer Equations
7.6Approximate Karman-Pohlhausen Integral Method
7.7Limiting Cases of Prandtl Number
7.8Natural Convection

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