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Zbl 1125.93330
Sivasankaran, S.; Bhuvaneswari, M.; Kandaswamy, P.; Ramasami, E.K.
Lie group analysis of natural convection heat and mass transfer in an inclined surface. (English)
[J] Nonlinear Anal., Model. Control 11, No. 2, 201-212 (2006). ISSN 1392-5113

Summary: Natural convection heat transfer fluid flow past an inclined semi-infinite surface in the presence of solute concentration is investigated by Lie group analysis. The governing partial differential equations are reduced to a system of ordinary differential equations by the translation and scaling symmetries. An exact solution is obtained for translation symmetry and numerical solutions for scaling symmetry. It is found that the velocity increases and temperature and concentration of the fluid decrease with an increase in the thermal and solutal Grashof numbers. The velocity and concentration of the fluid decrease and temperature increases with increase in the Schmidt number.

MSC 2000:: *76M60 Symmetry analysis, Lie group and algebra methods
76R10 Free convection
80A20 Heat and mass transfer

Keywords: Lie groups; natural convection; inclined surface; heat and mass transfer

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	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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Zentralblatt MATH Berlin [Germany]