Vortex Instability of Natural Convection Flow Over Horizontal and Inclined Plates with Uniform Surface Heat Flux
The characteristics of vortex instability for laminar free-convection flow over horizontal inclined flat plates with prescribed uniform surface heat flux are studied analytically by the linear theory. The system of linearized disturbance equations constitutes an eigenvalue problem, which is solved numerically by a Runge-Kutta integration scheme along with a shooting technique. Neutral stability curves and critical Grashof numbers are presented for Prandtl numbers of 0. 7 and 7 over a wide range of inclination angles, from the horizontal to close to the vertical orientation. The effects of plate inclination on vortex instability are discussed. The present results are also compared with available vortex instability results under the uniform wall temperature condition on the basis of equivalent Grashof and wave numbers.
H. Tien et al., "Vortex Instability of Natural Convection Flow Over Horizontal and Inclined Plates with Uniform Surface Heat Flux," Numerical Heat Transfer, vol. 9, no. 6, pp. 697-713, Taylor & Francis, Jan 1986.
The definitive version is available at http://dx.doi.org/10.1080/10407788608913502
Mechanical and Aerospace Engineering
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