TITLE:
Numerical Simulation of Asymmetric Merging Flow in a Rectangular Channel
AUTHORS:
Abuzar Abid Siddiqui
KEYWORDS:
Parallel Walls Rectangular Channel with Parallel Splitter, Special Finite-Difference Method, S. O. R. and Richardson Extrapolation Methods
JOURNAL NAME:
World Journal of Mechanics,
Vol.6 No.4,
April
22,
2016
ABSTRACT: The steady, asymmetric and two-dimensional flow of viscous,
incompressible and Newtonian fluid through a rectangular channel with splitter
plate parallel to walls is investigated numerically. Earlier, the position of
the splitter plate was taken as a centreline of channel but here it is
considered its different positions which cause the asymmetric behaviour of the
flow field. The geometric parameter that controls the position of splitter is
defined as splitter position parameter a. The plane Poiseuille
flow is considered far from upstream and downstream of the splitter. This
flow-problem is solved numerically by a numerical scheme comprising a fourth
order method, followed by a special finite-method. This numerical scheme
transforms the governing equations to system of finite-difference equations,
which are solved by point S.O.R. iterative method. In addition, the results
obtained are further refined and upgraded by Richardson Extrapolation method.
The calculations are carried out for the ranges -1 α R 5.
The results are compared with existing literature regarding the symmetric case
(when a = 0) for velocity, vorticity and skin friction distributions. The
comparison is very favourable. Moreover, the notable thing is that the decay of
vorticity to its downstream value takes place over an increasingly longer scale
of x as R increases for symmetric case but it is not so for asymmetric one.