Article ID Journal Published Year Pages File Type
650732 European Journal of Mechanics - B/Fluids 2010 7 Pages PDF
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
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