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Hybrid Methods in Engineering

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ISSN Печать: 1099-2391

ISSN Онлайн: 2641-7359

AN EFFICIENT NUMERICAL INTEGRATION ALGORITHM FOR INTEGRAL TRANSFORM SOLUTION OF NONLINEAR CONVECTION-DIFFUSION PROBLEMS

Том 2, Выпуск 4, 2000, 12 pages
DOI: 10.1615/HybMethEng.v2.i4.60
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Краткое описание

The Generalized Integral Transform Technique (GITT) is employed to solve convection-diffusion problems in fluids with variable physical properties. In this case, some strong nonlinear terms are observed in the formulation where the analytical transform is not possible. With the simple algorithm presented, the coefficients can be obtained numerically and great flexibility is permitted in changing boundary conditions and source terms of the original equations. Results are shown for the compressible boundary layer equations in a parallel plate channel flow and for the classical lid-driven flow in a square cavity with all the properties (except density) as functions of the temperature.

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