TY - JOUR
A2 - Motsa, Sandile
AU - Khan, M.
AU - Abelman, S.
AU - Mason, D. P.
AU - Mahomed, F. M.
PY - 2015
DA - 2015/09/17
TI - Self-Similar Unsteady Flow of a Sisko Fluid in a Cylindrical Tube Undergoing Translation
SP - 135424
VL - 2015
AB - The governing nonlinear equation for unidirectional flow of a Sisko fluid in a cylindrical tube due to translation of the tube wall is modelled in cylindrical polar coordinates. The exact steady-state solution for the nonlinear problem is obtained. The reduction of the nonlinear initial value problem is carried out by using a similarity transformation. The partial differential equation is transformed into an ordinary differential equation, which is integrated numerically taking into account the influence of the exponent n and the material parameter b of the Sisko fluid. The initial approximation for the fluid velocity on the axis of the cylinder is obtained by matching inner and outer expansions for the fluid velocity. A comparison of the velocity, vorticity, and shear stress of Newtonian and Sisko fluids is presented.
SN - 1024-123X
UR - https://doi.org/10.1155/2015/135424
DO - 10.1155/2015/135424
JF - Mathematical Problems in Engineering
PB - Hindawi Publishing Corporation
KW -
ER -