Abstract
This investigation deals with the three-dimensional boundary layer flow in a porous medium. The flow is induced by an exponentially stretching surface. Analysis is presented in the presence of heat transfer. Two cases, namely prescribed surface temperature (PST) and prescribed surface heat flux (PHF), are considered. Effects of thermal radiation are also present. The nonlinear partial differential equations are reduced into the ordinary differential equations. Series solutions are developed for the velocities and temperatures. Convergence of series solutions is checked via graphs and numerical values. Results are displayed and discussed for both PST and PHF cases.
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References
L.J. Crane, Z. Angew. Math. Phys. 21, 645 (1970)
T. Hayat et al., Chin. Phys. Lett. 29, 114704 (2012)
S. Abbasbandy, H.R. Ghehsareh, Int. J. Numer. Methods Fluids 70, 1324 (2012)
M.M. Rashidi et al., Am. J. Comput. Math. 6, 119 (2011)
C.Y. Wang, Phys. Fluids 27, 1915 (1984)
P.D. Ariel, Comput. Math. Appl. 54, 920 (2007)
S.A. Shehzad et al., Int. J. Heat Mass Transfer 55, 3971 (2012)
T. Hayat et al., Eur. Phys. J. Plus 127, 128 (2012)
I.C. Liu et al., Chem. Eng. Commun. 200, 253 (2013)
W.M. Kay, Convective Heat and Mas Transfer (Mc-Graw Hill, New York, 1966)
T.C. Chiam, Int. Commun. Heat Mass Transfer 23, 239 (1996)
P. Vyas, A. Rai, Int. J. Contemp. Math. Sci. 54, 2685 (2010)
T. Hayat et al., Z. Naturforsch. A 67a, 153 (2012)
M.M. Rashidi et al., Int. J. Numer. Methods Heat Fluid Flow 22, 971 (2012)
S.A. Shehzad et al., Eur. Phys. J. Plus 128, 7 (2013)
A. Moradi et al., Int. J. Therm. Sci. 64, 129 (2013)
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Hayat, T., Shehzad, S.A., Alsaadi, F.E. et al. Three-dimensional radiative flow with variable thermal conductivity and porous medium. Eur. Phys. J. Plus 128, 67 (2013). https://doi.org/10.1140/epjp/i2013-13067-3
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DOI: https://doi.org/10.1140/epjp/i2013-13067-3