This article is cited in 3 papers

Heat and Mass Transfer and Physical Gasdynamics

The Properties of Symmetry and Self–Similarity of Equations of Convective Heat Transfer and Hydrodynamics

A. A. Avramenko

Institute for Technical Thermal Physics, National Academy of Sciences of Ukraine

Abstract: Analysis of symmetries and respective self-similar forms for the set of Navier–Stokes and Fourier–Kirchhoff equations is performed, which makes it possible to reduce the order of equations and to obtain analytical solutions for a number of concrete problems of flow and heat transfer under the effect of free convection.

UDC: 532.526

Received: 30.05.2001

 English version: High Temperature, 2002, 40:3, 387–398

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