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Hybrid Methods in Engineering

ISSN 印刷: 1099-2391
ISSN オンライン: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v1.i2.40
22 pages

INTEGRAL TRANSFORM COMPUTATION OF COMPRESSIBLE BOUNDARY LAYERS

Humberto Araujo Machado
Institute de Aeronautica e Espaco − IAE Pg. Mal. Eduardo Gomes, 50, Vila das Acacias 12228-904, Sao Jose dos Campos, SP, Brazil; Universidade do Estado do Rio de Janeiro − UERJ, Faculdade de Tecnologia − FAT, Rodovia Presidente Dutra km 298 - Polo Industrial, 27537-000, Resende, RJ, Brazil
Renato M. Cotta
Laboratory of Nano- and Microfluidics and Microsystems, LabMEMS, Mechanical Engineering Department and Nanotechnology Engineering Dept., POLI & COPPE, Universidade Federal do Rio de Janeiro, Cidade Universitária, Cx. Postal 68503, Rio de Janeiro, RJ, CEP 21945-970, Brazil; Interdisciplinary Nucleus for Social Development—NIDES/CT, UFRJ, Brazil; Mechanical Engineering Department, University College London, UCL, United Kingdom

要約

The generalized integral transform technique (GITT) is employed in the hybrid numerical-analytical solution of the compressible boundary-layer equations in the streamfunction-only formulation, as written for the laminar flow of a Newtonian fluid within a parallel-plates channel. The solution methodology is applied to a mixed-convection problem and the convergence behavior of the present error-controlled solution is studied. Numerical results from this more general model are compared to the Boussinesq formulation, in an attempt to investigate the limits of this common approximation, together with critical comparisons to some literature results.