Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
650732 | European Journal of Mechanics - B/Fluids | 2010 | 7 Pages |
Abstract
The unsteady boundary-layer flow on a shrinking surface in an electrically conducting fluid is considered as it develops from rest. The nature of the solution is shown to depend on a dimensionless magnetic parameter MM. For M>1M>1 a steady state is reached at large times, when M=1M=1 there is also a boundary-layer flow for all times but now with a thickness growing at a rate proportional to tt (dimensionless time). However, for M<1M<1 the solution breaks down at a finite time tsts with the boundary-layer thickness and maximum velocity becoming large as tt approaches tsts, though with the skin friction remaining finite.
Related Topics
Physical Sciences and Engineering
Chemical Engineering
Fluid Flow and Transfer Processes
Authors
J.H. Merkin, V. Kumaran,