K, Venkatasubbaiah and R, Harish
(2010)
The effect of buoyancy on vortex shedding and entropy generation of a heated square cylinder.
Computational Thermal Sciences, 2 (6).
pp. 561-574.
ISSN 1940-2503
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Abstract
The effect of buoyancy on vortex shedding and entropy generation phenomena of a heated square cylinder has been studied numerically for assisting and opposing mixed convection flows. The present analysis is valid when the buoyancy force effects are small compared to forced convection effects. The mixed convection flow problem is formulated by two-dimensional incompressible flow, with the buoyancy term represented by Boussinesq approximation. The hyperbolic grid generation method is applied to provide an efficient mesh system for the flow. The governing equations are transformed into an orthogonal transformed plane and are solved in stream function and vorticity form using high-accuracy finite difference schemes. Results show that the strength of the vortex shedding is increased with increasing Reynolds number. The effect of buoyancy reduces or stops the vortex shedding phenomena for assisting mixed convection flows with the combination of Reynolds and Richardson numbers. The effect of buoyancy increases the strength of the vortex shedding as the Richardson number increases for opposing mixed convection flows. Heat transfer characteristics and entropy generation are reported for various combinations of Reynolds and Richardson numbers. The effect of buoyancy increases the average Nusselt number and entropy generation for assisting mixed convection flows, and we see the opposite trend for opposing mixed convection flows. The reported average Nusselt number values match very well with the numerical and experimental values available from the literature. © 2010 by Begell House, Inc.
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