On Similarity Solutions to the Viscous Flow and Heat Transfer of Nanofluid Over Nonlinearly Stretching Sheet

M.A.A.Hamad; M.Ferdows

doi:10.3879/j.issn.1000-0887.2012.07.007

Volume 33 Issue 7

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M.A.A.Hamad, M.Ferdows. On Similarity Solutions to the Viscous Flow and Heat Transfer of Nanofluid Over Nonlinearly Stretching Sheet[J]. Applied Mathematics and Mechanics, 2012, 33(7): 868-876. doi: 10.3879/j.issn.1000-0887.2012.07.007

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On Similarity Solutions to the Viscous Flow and Heat Transfer of Nanofluid Over Nonlinearly Stretching Sheet

doi: 10.3879/j.issn.1000-0887.2012.07.007

M.A.A.Hamad^{1, 2},
M.Ferdows³

¹Mathematics Department, Faculty of Science, Assiut University, Assiut 71516, Egypt;²School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia;³Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

Received Date: 2011-06-06
Rev Recd Date: 2011-12-28
Publish Date: 2012-07-15

Abstract

Abstract

The boundary-layer flow and heat transfer in a viscous fluid containing metallic nanoparticles over a nonlinear stretching sheet was analyzed. The stretching velocity was assumed to vary as a power function of the distance from the origin. The governing partial differential equation and auxiliary conditions were reduced to coupled nonlinear ordinary differential equations with the appropriate corresponding auxiliary conditions. The resulting non-linear ODEs were solved numerically. The influences of various relevant parameters, namely, the Eckert number Ec,the solid volume fraction of the nanoparticles and the nonlinear stretching parameter n were discussed and comparison with published results was presented. Different types of nanoparticles were studied. It was noted that the behavior of the fluid flow was changed with the change of the nanoparticles type.
- nanofluid,
- nonlinearly stretching sheet,
- similarity solution,
- nonlinear ordinary equations,
- partial differential equations,
- viscous flow

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References(37)

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