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DOI: 10.1615/HeatTransRes.v31.i6-8.160
pages 493-499

Two-Dimensional Laminar Free Convection in the Cavity Having a Shape of a Square with Rounded Angles

G. V. Makhnova
St. Petersburg State Technical University, Russia
Vladimir V. Ris
Peter the Great St.Petersburg Polytechnic University, Polytechnicheskaya 29, St.Petersburg, 195251, Russia
Evgueni M. Smirnov
Department of Hydro- and Aerodynamics at the Saint-Petersburg Polytechnic University, Polytechnicheskaya, 29, St. Petersburg, 195251, Russia

ABSTRACT

Two-dimensional stationary laminar free convection in cavities obtained by rounding-off the angles of an initially square shape is studied numerically at the Rayleigh numbers of from 104 to 5 · 109 at the following values of the Prandtl number 0.03, 0.1, 0.71, 2, 5, and 10. It is found for the cavities with isothermal vertical and adiabatic horizontal walls that rounding-off of the angles with preservation of the length of isothermal portions leads to an increase in the Nusselt number to 20%. The strongest effect of rounding-off of the angles is in lowering the limit of stability of stationary convection.