Thermal Instability of Mixed Convection Over Inclined Surfaces

Abstract

The vortex instability of laminar mixed convection flow over isothermal, inclined flat plates is investigated by the linear stability theory. Critical Grashof and Reynolds numbers that predict the first occurrence of vortex rolls are obtained for fluids having a Prandtl number of 0.7 under various buoyancy force intensities and over a range angles of inclination. It is found that at a given angle of inclination the flow becomes more susceptible to the vortex mode of instability as the buoyancy force increases. However, for a given buoyancy force intensity, the susceptibility of the flow to the vortex mode of instability decreases as the plate is tilted from the horizontal toward the vertical orientation, finally attaining the absolutely stable condition when the plate is vertical. The results are also compared wtih analytical results for the wave mode of instability. (A)

Department(s)

Mechanical and Aerospace Engineering

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1982 Taylor & Francis, All rights reserved.

Publication Date

01 Jan 1982

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