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Mathematical simulation of nonstationary regimes of natural convection in a cubical enclosure with finite-thickness heat-conducting walls


Nonstationary regimes of conjugate thermal-gravitational convection in a cubical enclosure in the conditions of horizontal temperature difference is numerically analyzed. The external surfaces of two opposite walls were at constant different temperatures, the rest external edges were considered adiabatic. The mathematical model based on Oberbeck-Bussinesq equations is formulated in dimensionless natural velocity-pressure variables. Typical temperature and velocity fields, which represent the effect of the nonstationarity factor, Prandtl number, and thermophysical characteristics of the enclosure solid walls on the flow and heat transfer, are obtained.

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Correspondence to M. A. Sheremet.

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Sheremet, M.A. Mathematical simulation of nonstationary regimes of natural convection in a cubical enclosure with finite-thickness heat-conducting walls. J. Engin. Thermophys. 22, 298–308 (2013).

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  • Natural Convection
  • Prandtl Number
  • Rayleigh Number
  • Average Nusselt Number