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Zbl 1008.76083
Lin, Ming-Han
Numerical study of formation of longitudinal vortices in natural convection flow over horizontal and inclined surfaces. (English)
[J] Int. J. Heat Mass Transfer 44, No.9, 1759-1766 (2001). ISSN 0017-9310

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 2000:: *76R10 Free convection
76M20 Finite difference methods
80A20 Heat and mass transfer

Keywords: onset position; formation of longitudinal vortices; natural convection; inclined plates; Grashof number; Prandtl number; inclination angle

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