The Stability of a Natural Convection Flow above a Point Heat Source

  • Wakitani Shunichi
    Department of Mechanical Engineering, School of Engineering, Okayama University

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  • Stability of a Natural Convection Flow

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Linear stability theory is applied to laminar natural convection plumes arising from a point heat source for Prandtl numbers of 2 and 0.7 (air). The axisymmetric steady plume which has a boundary-layer structure is used as the basic flow. The stability equations which include the effect of velocity-temperature disturbance coupling are numerically solved for both axisymmetric and non-axisymmetric disturbances. The axisymmetric mode is found to be stable. The non-axisymmetric mode n=1 is found to be unstable but n=2 stable, where n is the azimuthal wave-number of the non-axisymmetric disturbance.

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