Advances and Applications in Fluid Mechanics
© 2017 Pushpa Publishing House, Allahabad, India
http://www.pphmj.com
http://dx.doi.org/10.17654/FM020040543
Volume 20, Number 4, 2017, Pages 543-560 ISSN: 0973-4686
Received: March 18, 2017; Accepted: July 1, 2017
2010 Mathematics Subject Classification: 34A34, 34B15, 65T60.
Keywords and phrases: Haar wavelets, stagnation point flow, non-linear boundary value
problem.
∗
Corresponding author
Communicated by Shahrdad G. Sajjadi
STAGNATION POINT VISCOUS INCOMPRESSIBLE
FLUID FLOW BETWEEN POROUS PLATES – A STUDY
USING WAVELET METHOD
Harinakshi Karkera and Nagaraj N. Katagi
∗
Department of Mathematics
Manipal Institute of Technology
Manipal University
Manipal, 576104, India
Abstract
The axially symmetric laminar incompressible viscous fluid flow due
to uniform blowing through two parallel porous plates is investigated.
The governing Navier-Stokes equations are transformed into a non-
linear ordinary differential equation by using similarity transformation.
We developed a new elegant approximate scheme based on Haar
wavelets coupled with collocation approach for the solution of the
problem. Validity of the solution is confirmed by estimating the
solution error at various resolution levels. The influence of the
Reynolds number on pressure gradient and velocity has been discussed
and presented through graphs. We have also analysed the mass