Abstract
Multilayer unidirectional flows of viscous, immiscible fluids in
a channel bounded by two infinite parallel plates are studied. The bottom
plate is translating in its plane with a time-dependent velocity and the upper plate is stationary. A pressure gradient in the flow direction is applied.
The solutions of the initial and boundary condition problem are obtained
using the Laplace transform method. Numerical Stehfest’s algorithm is
used in order to obtain the inverse Laplace transforms. The case of twolayers with one fluid-fluid interface is completely studied and influence of
the pressure gradient on the fluid behavior is analyzed.
Shafqat Ali, Shehraz Akhtar, Ghulam Mustafa. (2019) Semi-Analytical Solutions of Multilayer Flow of Viscous Fluids in a Channel, Punjab University Journal of Mathematics, Volume 51, Issue 4.
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