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Axisymmetric stagnation flow obliquely impinging on a moving circular cylinder with uniform transpiration
Author(s) -
Rahimi Asghar B.,
Esmaeilpour M.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2230
Subject(s) - laminar flow , stagnation point , mechanics , reynolds number , stagnation temperature , mathematics , stagnation pressure , dimensionless quantity , geometry , cylinder , classical mechanics , physics , turbulence , heat transfer , mach number
Laminar stagnation flow, axisymmetrically yet obliquely impinging on a moving circular cylinder, is formulated as an exact solution of the Navier–Stokes equations. Axial velocity is time‐dependent, whereas the surface transpiration is uniform and steady. The impinging free stream is steady with a strain rate k̄. The governing parameters are the stagnation‐flow Reynolds number Re =k̄ a 2 /2ν, and the dimensionless transpiration S = U 0 /k̄ a . An exact solution is obtained by reducing the Navier–Stokes equations to a system of differential equations governed by Reynolds number and the dimensionless wall transpiration rate, S . The system of Boundary Value Problems is then solved by the shooting method and by deploying a finite difference scheme as a semi‐similar solution. The results are presented for velocity similarity functions, axial shear stress and stream functions for a variety of cases. Shear stresses in all cases increase with the increase in Reynolds number and suction rate. The effect of different parameters on the deflection of viscous stagnation circle is also determined. Copyright © 2010 John Wiley & Sons, Ltd.