Abstract
The boundary-layer flow in a viscous non-Newtonian fluid containing over a nonlinear stretching sheet is analyzed. The stretching velocity is assumed to vary as a power function of the distance from the origin. The governing partial differential equation and auxiliary conditions are reduced to nonlinear ordinary differential equation with the appropriate corresponding conditions. The properties and nonexistence of the solutions to the boundary value problem are examined. The resulting nonlinear ordinary differential equation is solved numerically with a Chebyshev spectral method. On the base of our calculations, the effects of various parameters, namely, the power-law exponent, the MHD, and the nonlinear stretching parameter on the dimensionless velocity gradient at the wall, are discussed.
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Acknowledgements
The research work presented in this paper is based on the results achieved within the TÁMOP-4.2.1.B-10/2/KONV-2010-0001 project and carried out as part of the TÁMOP-4.1.1.C-12/1/KONV-2012-0002 “Cooperation between higher education, research institutes and automotive industry” project in the framework of the New Széchenyi Plan. The realization of this project is supported by the Hungarian Government and by the European Union and cofinanced by the European Social Fund.
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Bognár, G. (2016). Magnetohydrodynamic Flow of a Power-Law Fluid over a Stretching Sheet with a Power-Law Velocity. In: Pinelas, S., Došlá, Z., Došlý, O., Kloeden, P. (eds) Differential and Difference Equations with Applications. ICDDEA 2015. Springer Proceedings in Mathematics & Statistics, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-319-32857-7_13
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