Time-dependent stagnation-point flow over rotating disk impinging oncoming flow
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Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Shanghai University and Springer-Verlag
Abstract
The unsteady stagnation point flow of an incompressible viscous fluid over
a rotating disk is investigated numerically in the present study. The disk impinges the
oncoming flow with a time-dependent axial velocity. The three-dimensional axisymmetric
boundary-layer flow is described by the Navier-Stokes equations. The governing equations
are solved numerically, and two distinct similarity solution branches are obtained. Both
solution branches exhibit different flow patterns. The upper branch solution exists for
all values of the impinging parameter and the rotating parameter
. However, the
lower branch solution breaks down at some moderate values of . The involvement of
the rotation at disk allows the similarity solution to be transpired for all the decreasing
values of . The results of the velocity profile, the skin friction, and the stream lines are
demonstrated through graphs and tables for both solution branches. The results show
that the impinging velocity depreciates the forward flow and accelerates the flow in the
tangential direction.
Description
Keywords
Mathematics, Similarity Solution, Viscous Fluid, Numerical Solution
Citation
Applied Mathematics and Mechanics (English Edition), 34(1), 85–96