Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined Surface
Natural convection heat transfer fluid flow past an inclined semiinfinite 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 sym...
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doaj-5e13d8cc112f46358ca81ed5e4a5cfaa2020-11-24T21:58:38ZengVilnius University PressNonlinear Analysis1392-51132335-89632006-05-0111210.15388/NA.2006.11.2.14759Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined SurfaceS. Sivasankaran0M. Bhuvaneswari1P. Kandaswamy2E. K. Ramasami3Bharathiar University, IndiaBharathiar University, IndiaBharathiar University, IndiaBharathiar University, India Natural convection heat transfer fluid flow past an inclined semiinfinite 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. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14759Lie groupsnatural convectioninclined surfaceheat and mass transfer |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
S. Sivasankaran M. Bhuvaneswari P. Kandaswamy E. K. Ramasami |
spellingShingle |
S. Sivasankaran M. Bhuvaneswari P. Kandaswamy E. K. Ramasami Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined Surface Nonlinear Analysis Lie groups natural convection inclined surface heat and mass transfer |
author_facet |
S. Sivasankaran M. Bhuvaneswari P. Kandaswamy E. K. Ramasami |
author_sort |
S. Sivasankaran |
title |
Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined Surface |
title_short |
Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined Surface |
title_full |
Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined Surface |
title_fullStr |
Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined Surface |
title_full_unstemmed |
Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined Surface |
title_sort |
lie group analysis of natural convection heat and mass transfer in an inclined surface |
publisher |
Vilnius University Press |
series |
Nonlinear Analysis |
issn |
1392-5113 2335-8963 |
publishDate |
2006-05-01 |
description |
Natural convection heat transfer fluid flow past an inclined semiinfinite 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.
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topic |
Lie groups natural convection inclined surface heat and mass transfer |
url |
http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14759 |
work_keys_str_mv |
AT ssivasankaran liegroupanalysisofnaturalconvectionheatandmasstransferinaninclinedsurface AT mbhuvaneswari liegroupanalysisofnaturalconvectionheatandmasstransferinaninclinedsurface AT pkandaswamy liegroupanalysisofnaturalconvectionheatandmasstransferinaninclinedsurface AT ekramasami liegroupanalysisofnaturalconvectionheatandmasstransferinaninclinedsurface |
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1725851020559384576 |