Scaling group analysis on mhd effects on heat transfer near a stagnation point on a linearly stretching sheet with variable viscosity and thermal conductivity, viscous dissipation and heat source/sink
Theoretical and applied mechanics, Tome 42 (2015) no. 2, p. 111 .

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The effects of variable viscosity and thermal conductivity on MHD heat transfer flow of viscous incompressible electrically conducting fluid near stagnation point flow on non-conducting stretching sheet in presence of uniform transfer magnetic field with heat source/sink and viscous dissipation has been analyzed. The governing partial differential equations are transformed into ordinary differential equations using a special form of Lie group transformations and then solved using Fourth order Runge--Kutta Method. Effects of different physical parameters on the flow and heat transfer characteristics are analyzed. Variations of different parameters on skin fiction coefficient-$f''(0)$ and temperature gradient $-\theta'(0)$ are presented in tabular form.
DOI : 10.2298/TAM1502111D
Classification : 80A20, 76E06, 76D99
Keywords: scaling group transformation, MHD, stagnation point, variable viscosity and thermal conductivity, heat source/sink, viscous dissipation
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     author = {Hunegnaw Dessie and Kishan Naikoti},
     title = {Scaling group analysis on mhd effects on heat transfer near a stagnation point on a linearly stretching sheet with variable viscosity and thermal conductivity, viscous dissipation and heat source/sink},
     journal = {Theoretical and applied mechanics},
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     publisher = {mathdoc},
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     doi = {10.2298/TAM1502111D},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1502111D/}
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Hunegnaw Dessie; Kishan Naikoti. Scaling group analysis on mhd effects on heat transfer near a stagnation point on a linearly stretching sheet with variable viscosity and thermal conductivity, viscous dissipation and heat source/sink. Theoretical and applied mechanics, Tome 42 (2015) no. 2, p. 111 . doi : 10.2298/TAM1502111D. http://geodesic.mathdoc.fr/articles/10.2298/TAM1502111D/

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