Geodesic
Lie group analysis for the effect of viscosity and thermophoresis particle deposition on free convective heat and mass transfer in the presence of suction/injection
Theoretical and applied mechanics, Tome 36 (2009) no. 4, p. 275 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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An analysis has been carried out to study heat and mass transfer characteristics of an incompressible Newtonian fluid having temperature-dependent fluid viscosity and thermophoresis particle deposition over a vertical stretching surface with variable stream condition. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The vertical surface is assumed to be permeable so as to allow for possible wall suction or injection. The governing differential equations are derived and transformed using Lie group analysis. The transformed equations are solved numerically by applying a Runge-Kutta-Gill scheme with shooting techniques. Favorable comparisons with previously published work on various special cases of the problem are obtained. Numerical results for the velocity, temperature and concentration profiles for a prescribed temperature-dependent fluid viscosity and thermophoresis particle deposition parameters are presented graphically to elucidate the influence of the various physical parameters.
DOI : 10.2298/TAM0904275S
Classification : 70G65 80A20
Keywords: lie group analysis, temperature-dependent fluid viscosity, heat source/sink, thermal radiation, thermophoresis particle deposition. 
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     author = {K. K. Sivagnana Prabhu and R. Kandasamy and R. Saravanan},
     title = {Lie group analysis for the effect of viscosity and thermophoresis particle deposition on free convective heat and mass transfer in the presence of suction/injection},
     journal = {Theoretical and applied mechanics},
     pages = {275 },
     year = {2009},
     volume = {36},
     number = {4},
     doi = {10.2298/TAM0904275S},
     zbl = {1274.80011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM0904275S/}
}
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K. K. Sivagnana Prabhu; R. Kandasamy; R. Saravanan. Lie group analysis for the effect of viscosity and thermophoresis particle deposition on free convective heat and mass transfer in the presence of suction/injection. Theoretical and applied mechanics, Tome 36 (2009) no. 4, p. 275 . doi: 10.2298/TAM0904275S

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