ARTICLE:

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

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

Renato M. Cotta
Universidade Federal do Rio de Janeiro

Sadik Kakac
Department of Mechanical Engineering, University of Miami, P.O. Box 248294 - Coral Gables, Florida - 33124-0624 - USA

ABSTRACT

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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