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Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine

By
Abram S. Dorfman
Abram S. Dorfman
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ISBN:
9781119320562
No. of Pages:
456
Publisher:
ASME Press
Publication date:
2017

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.

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