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INTEGRAL TRANSFORM SOLUTION OF THE TURBULENT BOUNDARY LAYER EQUATIONS IN STREAMFUNCTION-ONLY FORMULATION

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.240
8 pages

L. C. G. Pimentel
Laboratory of Transmission & Technology of Heat Mechanical Engineering Dept. - Universidade Federal do Rio de Janeiro, EE/COPPE/UFRJ Cidade Universitária - C.P. 68503 - Rio de Janeiro, RJ - 21945-970 BRASIL

Sadik Kakac
Department of Mechanical Engineering,TOBB University of Economics and Technology, Ankara-Turkey; and LIPING CAO, Westinghouse Electric Company, LLC, PA; and Department of Mechanical Engineering, University of Miami, Florida - USA

Abstrakt

Developing turbulent flow between parallel plates is analyzed, by making use of the generalized integral transform technique to obtain a hybrid numerical-analytical solution of the governing boundary layer equations for incompressible steady flow. The streamfunction-only formulation is preferred over the primitive variables one, in light of the improved convergence rates achievable, for the related eigenfunction expansions, with the former choice. Also, a well-established algebraic turbulence model is adopted for the required flow diffusivities, and numerical examples are employed to illustrate the computational performance of the proposed approach.

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