CFP last date
22 April 2024
Reseach Article

Incompressible Viscoelastic Flow of a Generalised Oldroyed-B Fluid through Porous Medium between Two Infinite Parallel Plates in a Rotating System

by Dhiman Bose, Uma Basu
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 79 - Number 1
Year of Publication: 2013
Authors: Dhiman Bose, Uma Basu
10.5120/13704-1452

Dhiman Bose, Uma Basu . Incompressible Viscoelastic Flow of a Generalised Oldroyed-B Fluid through Porous Medium between Two Infinite Parallel Plates in a Rotating System. International Journal of Computer Applications. 79, 1 ( October 2013), 13-20. DOI=10.5120/13704-1452

@article{ 10.5120/13704-1452,
author = { Dhiman Bose, Uma Basu },
title = { Incompressible Viscoelastic Flow of a Generalised Oldroyed-B Fluid through Porous Medium between Two Infinite Parallel Plates in a Rotating System },
journal = { International Journal of Computer Applications },
issue_date = { October 2013 },
volume = { 79 },
number = { 1 },
month = { October },
year = { 2013 },
issn = { 0975-8887 },
pages = { 13-20 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume79/number1/13704-1452/ },
doi = { 10.5120/13704-1452 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:51:53.863229+05:30
%A Dhiman Bose
%A Uma Basu
%T Incompressible Viscoelastic Flow of a Generalised Oldroyed-B Fluid through Porous Medium between Two Infinite Parallel Plates in a Rotating System
%J International Journal of Computer Applications
%@ 0975-8887
%V 79
%N 1
%P 13-20
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Incompressible viscous fluid flow through a porous medium between two infinite parallel plates with moving upper plate in a rotating system has been studied here. The exact solution of the governing equation for the velocity field has been obtained by using Laplace and finite Fourier sine transformations in series form in terms of Mittage-Leffler function. It can be found that the fluid velocity decreases with the increasing values of fractional calculus parameter α and the permeability of the porous medium K. It can be also observed that the fluid velocity increases with the higher values of the viscosity of the porous medium. The dependence of the velocity field on fractional calculus parameters as well as material parameters has been illustrated graphically.

References
  1. Charyulu, V. N. and Ram, M. S. 2010. Laminar flow of an incompressible micro polar fluid between two parallel plates with porous lining. Int. J. Applied Math and Mech. 6, 81-92.
  2. Fetecau, C. , Hayat, T. , Fetecau, C. and Ali, N. 2008. Unsteady flow of a second grade fluid between two side walls perpendicular to a plate. Nonlinear Anal: Real World Appl. 9, 1236-1252.
  3. Ganapathy, R. 1994. A note on oscillatory Couette Flow in a rotating system. Journal of Applied Mechanics. 61, 208-209.
  4. Jana, M. , Maji, S. L. ,Das, S. and Jana, R. N. 2010. Unsteady flow of viscous fluid through a porous medium bounded by a porous plate in a rotating system. Journal of Porous Media. 13, 645-653.
  5. Khan, M. , Ali, S. H and Qi, H. 2009. Exact solutions for some oscillating flows of a second grade fluid with a fractional derivative model. Mathematical and Computer Modelling. 49, 1519-1530.
  6. Rajagopal, K. R. 1982. A note on unsteady unidirectional flows of a non-Newtonian fluid. International Journal of Non-Linear Mechanics. 17, 369-373.
  7. Tan, W. C. , Xian, F. and Wei, L. 2002. Exact solution for the unsteady Couette flow of the generalized second grade fluid. China Sci. Bull. 47,1226-1228.
  8. Wenchang,T. ,Wenxiao, P. and Mingyu, X. 2003. A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates. International Journal of Non-Linear Mechanics. 38, 645-650.
Index Terms

Computer Science
Information Sciences

Keywords

Caputo operator Generalised Oldroyed-B fluid Laplace transformation: Finite Fourier sine transformation porous medium.