TY - JOUR
T1 - Flow of Newtonian Fluid in Non-Uniform Tubes with Application to Renal Flow: A Numerical Study
AU - Muthu , P.
AU - Berhane , Tesfahun
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 633
EP - 648
PY - 2011
DA - 2011/03
SN - 3
DO - http://doi.org/10.4208/aamm.10-m1064
UR - https://global-sci.org/intro/article_detail/aamm/187.html
KW - Non-uniform tube, renal flow, Takabatake finite difference scheme.
AB - <p style="text-align: justify;">In this paper, a numerical method employing a finite difference
technique is used for an investigation of
viscous, incompressible fluid flow in a tube with absorbing wall
and slowly varying cross-section. The effect
of fluid absorption through permeable wall is accounted by
prescribing flux as a function of axial distance.
The method is not restricted by the parameters in the problem
such as wave number, permeability parameter,
amplitude ratio and Reynolds number. The effects of these parameters
on the radial velocity and mean pressure
drop are studied and the results are presented graphically. Comparison
is also made between the results obtained by
perturbation method of solution and present approach.</p>