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Numerical study of formation of longitudinal vortices in natural convection flow over horizontal and inclined surfaces. (English) Zbl 1008.76083
Summary: We present a numerical study of the formation of longitudinal vortices in natural convection flow over horizontal and inclined plates. We also derive a criterion on the position marking on the onset of longitudinal vortices. The results show that the onset position characterized by Grashof number depends on Prandtl number, wave number, and on the inclination angle from the horizontal. The flow is found to become more stable to the vortex mode of instability as the value of inclination angle increases, owing to a decrease in buoyancy force in the normal direction. However, the Prandtl number has a destabilizing effect on the flow. The results of the present numerical prediction show a reasonable agreement with experimental data in the literature.
MSC:
76R10Free convection (fluid mechanics)
76M20Finite difference methods (fluid mechanics)
80A20Heat and mass transfer, heat flow