ANALYSIS OF VISCOUS INCOMPRESSIBLE FLUID FLOW NEAR A CONCAVE SURFACE BY MATCHED ASYMPTOTIC EXPANSIONS
Keywords:
Matched asymptotic expansion method, Goertler vortices, viscous incompressible fluid, hydrodynamic instability, Navier–Stokes equations, concave surfaceAbstract
This paper presents a nonlinear asymptotic analysis of viscous incompressible fluid flow near a concave surface using the method of matched asymptotic expansions. The authors investigate the problem of hydrodynamic instability in a centrifugal force field at high Reynolds and Görtler numbers by reducing the Navier–Stokes equations to a system of ordinary differential equations with eigenvalues. The study numerically determined the distributions of velocity components and the dependences of the local Reynolds number on the amplitude growth rate for the first three vortex modes. The obtained results have important practical implications for analyzing the transition from laminar to turbulent flows, as well as for studying the dynamics of landslides and mudflows.
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