SIMPLIFICATION OF THE EQUATIONS OF MOTION FOR AN IRREDUCING FLUID BY THE METHOD OF ASYMPTOTIC EXPANSIONS
Keywords:
incompressible fluid, Navier-Stokes equations, asymptotic expansion, boundary layer, Goertler vorticesAbstract
This paper presents an asymptotic analysis of the Navier-Stokes equations for a viscous incompressible fluid flowing past concave surfaces. The authors identify three characteristic regions of disturbed flow and substantiate the scales of quantities for each. Using asymptotic expansions and estimating the orders of convective and dissipative terms, a simplified system of parabolic equations is obtained. This model describes the nonlinear stage of development of short-wavelength Görtler vortices localized in the near-wall region. The results obtained can be applied to the study of boundary layer dynamics, as well as to modeling mudflows and landslides.
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