Numerical Heat Transfer and Fluid FlowThis book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results. |
Contents
1 Introduction | 1 |
2 Mathematical Description of Physical Phenomena | 11 |
3 Discretization Methods | 25 |
4 Heat Conduction | 41 |
5 Convection and Diffusion | 79 |
6 Calculation of The Flow Field | 113 |
7 Finishing Touches | 139 |
8 Special Topics | 155 |
9 Illustrative Applications | 163 |
Nomenclature | 185 |
| 189 | |
| 195 | |
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Common terms and phrases
algebraic equations algorithm Ax Ay basic rules boundary conditions calculation domain central-difference scheme Chapter computer program computer storage constant continuity equation control volume control volume shown control-volume faces convection converged solution correct cross-stream density dependent variable derivation developed differential equation diffusion coefficient direction discretization equation discussed duct exact solution example expression false diffusion Figure finite-element method flow field fluid flow formulation fully implicit function Gauss-Seidel method given grid points heat conduction heat flux heat transfer interface iteration iterative methods linear locations momentum equations negative neighbor coefficients nonlinear number of grid numerical method numerical solution Nusselt obtained one-dimensional outflow boundary Peclet number physical practical prediction pressure field pressure-correction equation problem procedure Section shown in Fig solving source term space coordinate Sparrow streamwise Taylor & Francis TDMA three-dimensional turbulence underrelaxation unsteady upwind scheme variation velocity components velocity field zero дх