Using approximate analytic methods to solve problems of natural convection in a closed cavity
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A mathematical analogy between plate deflection under a transverse load and the circulatory motion of a liquid in a geometrically similar region is validated. A Galerkin-method approximate analytic solution is given for the stream function in a cylindrical cavity.
KeywordsConvection Statistical Physic Natural Convection Stream Function Similar Region
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- 1.V. S. Kuptsova, “On the mathematical analogy between bending of a plate and the circulatory motion of a liquid in a geometrically similar region,” Izv. Vyssh. Uchebn. Zaved., Mashinostroenie, No. 11, 72 (1972).Google Scholar