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Journal of Applied Mechanics and Technical Physics

2022 year, number 5

Synthesis on the Existence/Non-Existence of Multiple Solutions for an Unsteady Non-Rotating Shrinking Disk Flow

A. Mehmood1, G. D. Tabassum1, M. Usman2, A. Dar3
1International Islamic University, Islamabad, 44000, Pakistan
2Virtual University of Pakistan, Lahore, Pakistan
3University of Kotli, Kotli, Azad Jammu and Kashmir, Pakistan
Keywords: Shrinking disk, unsteady flow, non-uniqueness, numerical solution

Abstract

Results of studying the problem of an unsteady fluid flow along an instantaneously stretching (shrinking) non-rotating disk with an infinite radius are reported. The velocity of the shrinking disk surface is chosen in such a way that the problem allows the existence of an exact similarity solution. The original problem is reduced to an initial-value problem, which is solved numerically by using the shooting and Newton-Raphson methods. A detailed study of the existence and uniqueness of the solution is performed.