Scaling Analysis for Inducing Prandtl Boundary Layer Equation

Abstract

Abstract: By selecting intrinsic reference scalingand according to some related properties of continuous functionthe magnitude of each tiny quotient in Navier-Stokes equation was determined based on some experimental materials．Then scaling analysis was carried out to make each part of the equation non-dimensionaland the magnitude of each tiny quotient of the equation was evaluated．By removing the parts whose magnitude was less than1Prandtl boundary layer differential equation was induced successfully．To a certain extentthis method discloses the mathematical and physical essence of boundary differential equation．

Key words: boundary layer, scaling, magnitude

CLC Number:

TK124

Fan Fu-mei Liang Ping Long Xin-feng . Scaling Analysis for Inducing Prandtl Boundary Layer Equation[J]. Journal of South China University of Technology(Natural Science Edition), 2003, 31(10): 61-64.

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Scaling Analysis for Inducing Prandtl Boundary Layer Equation

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