STUDY OF GAS FLOW UNDER HYDRODYNAMIC INSTABILITY IN A CENTRIFUGAL FORCE FIELD
Keywords:
Hydrodynamic instability, centrifugal force field, boundary layer, Goertler vortices, asymptotic analysis, Navier-Stokes equations, concave surface, nonlinear disturbances, friction stressAbstract
This article uses asymptotic analysis to study gas flow and the development of hydrodynamic instability in the boundary layer in a centrifugal force field (near concave surfaces). The author develops an asymptotic theory for the development of streamwise Görtler vortices localized in a narrow near-wall region, the thickness of which is smaller than the boundary layer thickness. Order-of-magnitude estimates for pressure and velocity perturbations are obtained, and the characteristic dimensions of the vortex region are established. By taking the limit from the Navier-Stokes equations, a closed boundary value problem is derived that describes the evolutionary nonlinear development of stationary vortices. It is shown that, to a first approximation, only the friction stress on the wall at the instability initiation point has a decisive influence on the process.
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