A model for the mixing length distribution near the wall in turbulent boundary layer flow with transpiration is presented. The model is based on a new formulation of the exponential damping function originally suggested by Van Driest. The analysis used to evaluate the damping function employs the same set of assumptions successfully used by several investigators in the past to develop the law of the wall with blowing. This mixing length model is then used with the calculation method previously developed by the author to solve the governing conservation equations of mass, momentum, and energy in partial differential form. Predicted velocity profiles, skin friction coefficients, and Stanton numbers are compared with experimental results taken over a wide range of transpiration for both incompressible and compressible flows.
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Research Papers
Prediction of Transpired Turbulent Boundary Layers
R. H. Pletcher
R. H. Pletcher
Department of Mechanical Engineering and Engineering Research Institute, Iowa State University, Ames, Iowa
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R. H. Pletcher
Department of Mechanical Engineering and Engineering Research Institute, Iowa State University, Ames, Iowa
J. Heat Transfer. Feb 1974, 96(1): 89-94 (6 pages)
Published Online: February 1, 1974
Article history
Received:
November 6, 1972
Online:
August 11, 2010
Citation
Pletcher, R. H. (February 1, 1974). "Prediction of Transpired Turbulent Boundary Layers." ASME. J. Heat Transfer. February 1974; 96(1): 89–94. https://doi.org/10.1115/1.3450146
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