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. |
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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 convection-diffusion converged solution correct cross-stream denote density dependent variable developed differential equation diffusion coefficient direction discretization equation discussed duct elliptic exact solution example expression false diffusion Figure finite-element method flow field fluid flow formulation function Gauss-Seidel method given grid points heat conduction heat flux heat transfer interface iterative methods linear locations momentum equations negative neighbor coefficients nonlinear number of grid numerical method numerical solution Nusselt obtained outflow boundary Peclet number physical power-law scheme practical prediction pressure field pressure-correction equation procedure Section shown in Fig solving source term space coordinate Sparrow streamwise TDMA temperature field three-dimensional turbulence underrelaxation unsteady upwind scheme variation velocity components velocity field zero Φρ дх