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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v33.i5-6.90
8 pages

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

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 steady laminar free convection in cavities produced by rounding-off of initially square corners is studied numerically at the Rayleigh numbers of from 104 to 5·109 at 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 corners (the length of isothermal portions being preserved) leads to an increase in the Nusselt number up to 20%. The strongest effect of rounding-off of the corners is in lowering the limit of stability of steady convection.


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