Journal
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 33, Issue 12, Pages 1555-1568Publisher
SHANGHAI UNIV
DOI: 10.1007/s10483-012-1643-9
Keywords
unsteady magnetohydrodynamic (MHD) flow; shrinking sheet; analytical solution; slip condition; dual solutions
Categories
Funding
- National Natural Science Foundation of China [50936003, 51076012]
Ask authors/readers for more resources
An unsteady magnetohydrodynamic (MHD) boundary layer flow over a shrinking permeable sheet embedded in a moving viscous electrically conducting fluid is investigated both analytically and numerically. The velocity slip at the solid surface is taken into account in the boundary conditions. A novel analytical method named DTMBF is proposed and used to get the approximate analytical solutions to the nonlinear governing equation along with the boundary conditions at infinity. All analytical results are compared with those obtained by a numerical method. The comparison shows good agreement, which validates the accuracy of the DTM-BF method. Moreover, the existence ranges of the dual solutions and the unique solution for various parameters are obtained. The effects of the velocity slip parameter, the unsteadiness parameter, the magnetic parameter, the suction/injection parameter, and the velocity ratio parameter on the skin friction, the unique velocity, and the dual velocity profiles are explored, respectively.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available