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Classical lie point symmetry analysis of a steady nonlinear one-dimensional fin problem
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نویسنده
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moitsheki r.j. ,mhlongo m.d.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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We consider the one-dimensional steady fin problem with the dirichlet boundary condition at one end and the neumann boundary condition at the other. both the thermal conductivity and the heat transfer coefficient are given as arbitrary functions of temperature. we perform preliminary group classification to determine forms of the arbitrary functions appearing in the considered equation for which the principal lie algebra is extended. some invariant solutions are constructed. the effects of thermogeometric fin parameter and the exponent on temperature are studied. also,the fin efficiency is analyzed. © 2012 r. j. moitsheki and m. d. mhlongo.
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آدرس
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center for differential equations,continuum mechanics and applications,school of computational and applied mathematics,university of the witwatersrand,private bag 3, South Africa, department of mathematical sciences,mangosuthu university of technology,p.o. box 12363,jacobs, South Africa
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Authors
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