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Reseach Article

Visco-Elastic Effects on Convection Flow in a Vertical Rotating Channel Partially Filled with a Porous Medium

by Rita Choudhury, Saswati Purkayastha
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 104 - Number 4
Year of Publication: 2014
Authors: Rita Choudhury, Saswati Purkayastha

Rita Choudhury, Saswati Purkayastha . Visco-Elastic Effects on Convection Flow in a Vertical Rotating Channel Partially Filled with a Porous Medium. International Journal of Computer Applications. 104, 4 ( October 2014), 9-17. DOI=10.5120/18189-9098

@article{ 10.5120/18189-9098,
author = { Rita Choudhury, Saswati Purkayastha },
title = { Visco-Elastic Effects on Convection Flow in a Vertical Rotating Channel Partially Filled with a Porous Medium },
journal = { International Journal of Computer Applications },
issue_date = { October 2014 },
volume = { 104 },
number = { 4 },
month = { October },
year = { 2014 },
issn = { 0975-8887 },
pages = { 9-17 },
numpages = {9},
url = { },
doi = { 10.5120/18189-9098 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
%0 Journal Article
%1 2024-02-06T22:35:16.990791+05:30
%A Rita Choudhury
%A Saswati Purkayastha
%T Visco-Elastic Effects on Convection Flow in a Vertical Rotating Channel Partially Filled with a Porous Medium
%J International Journal of Computer Applications
%@ 0975-8887
%V 104
%N 4
%P 9-17
%D 2014
%I Foundation of Computer Science (FCS), NY, USA

A theoretical investigation of the influence of radiation on natural convection flow of an electrically conducting visco-elastic fluid in a vertical channel partially filled by a porous medium with high porosity has been presented. It is assumed that the conducting fluid is gray, emitting-absorbing radiation, and non-scattering medium. The visco-elastic fluid is characterized by Walters liquid (Model B´). The infinite vertical porous plates of the channel are subjected to constant injection and suction velocity respectively. The entire system rotates about the axis normal to the plates with a uniform angular velocity. The perturbation scheme has been used to solve the governing equations of the fluid motion. The approximate solutions for velocity and temperature fields have been derived and the effects of the Prandtl number, Grashof number, radiation-conduction parameter (Stark number), rotation parameter, magnetic field and permeability of the porous medium on the velocity field, temperature field and Nusselt number have been discussed and illustrated graphically in possible cases. The practical use of this problem can be seen in heating of buildings, cooling electronic components and drying several types of agriculture products grain and food.

  1. Aung, W. , Fletcher, L. S. , and Sernas, V. 1972. Developing laminar free convection between vertical flat plates with asymmetric heating. Int. J. Heat Mass Transfer. 15, 2293-2304.
  2. Burch, T. , Rhodes T. and Acharya, S. 1985. Laminar natural convection between finitely conducting vertical plates. Int. J. Heat Mass Transfer. 28, 1173-1186.
  3. Buhler, K. 2003. Special solutions of the Boussinesq equations for free convection flows in a vertical gap, Heat Mass Transfer. 39, 631-638.
  4. Weidman, P. D. and Medina A. 2008. Porous media convection between vertical walls: Continuum of solutions from capped to open ends. Acta Mech. 199, 209-216.
  5. Sanyal, D. C. and Adhikari, A. 2006. Effects of radiation on MHD vertical channel flow. Bull. Cal. Mathe. Soc. 98, 5, 487-497.
  6. Chauhan, D. S. and Jain, R. 2005. Three dimensional MHD steady flow of a viscous imcompressible fluid over a highly porous layer. Modelling, Measurement and Control B. 74, 5, 19-34.
  7. Magyari, E. 2007. Normal mode analysis of the fully developed free convection flow in a vertical slot with open to capped ends. Heat Mass Transfer. 43, 827-832.
  8. Yih, K. A. 1998. The effect of uniform suction/blowing on heat transfer of magnetohydrodynmic Hiemenz flow through porous media. Acta Mechanica. 130, 147-158.
  9. Al-Nimr, M. A. and Haddad, O. H. 1999. Fully developed free convection in open-ended vertical channels partially filled with porous material. J. Porous Media. 2, 179-189.
  10. Alkam, M. K. , Al-Nimr, M. A. , Hamdan, M. O. 2002. On forced convection in channels partially filled with porous substrates. Heat and Mass Transfer. 38, 337-342.
  11. Weidman, P. D. 2006. Convection regime flow in a vertical slot: Continuum of solutions from capped to open ends. Heat Mass Transfer. 43, 103-109.
  12. Kim, S. H. , Anand N. K. and Aung, W. 1990. Effect of wall conduction on free convection between asymmetrically heated vertical plates. Uniform wall heat flux. Int. J. Heat Mass Transfer. 33, 1013-1023.
  13. Bian, W. , Vasseur, P. Bilgen, E. and Meng, F. 1996. Effect of an electromagnetic field on natural convection in an inclined porous layer. Int. J. Heat Fluid Flow. 17, 36-44.
  14. Chang, W. J. and Chang, W. L. 1996. Mixed convection in a vertical parallel plate channel partially filled with porous media of high permeability. Int. J. Heat Mass Transfer. 39, 1331-1342.
  15. Al-Nimr, M. A. and Khadrawi, A. F. 2003. Transient free convection fluid flow in domains partially filled with porous media. Transport in porous media. 51, 157-172.
  16. Chauhan, D. S. and Rastogi, P. 2010. Radiation effects on natural convection MHD flow in rotating vertical porous channel partially filled with a porous medium. Appl. Math. Sci. 4, 13, 643-655.
  17. Subhas Abel, M. Joshi, A. and Sonth, R. M. 2001. Heat transfer in MHD visco-elastic fluid flow over a stretching surface. Zeitschrift f?r angewandte Mathematikund Mechanik. 81, 19, 691-698.
  18. Sonth, R. M. , Khan, S. K. , Subhash, A. M and Prasad, K. V. 2002. Heat and mass transfer in a visco–elastic fluid flow over an accelerating surface with heat source/sink and viscous dissipation. Heat Mass Transfer. 38, 3, 213-220.
  19. Abel, M. S. , Siddheswar, P. G. , Nandeeppanavar, M. M. 2007. Heat transfer in a viscoelastic boundary layer flow over a stretching sheet with viscous dissipation and non-uniform heat source. Int. J. Heat Mass Transfer. 50, 5-6, 960-966.
  20. Choudhury, R. and Das, A. 2002. Steady flow of Walters liquid B´ through the annulus of porous coaxial circular cylinders. Ind J. Pure Appl. Maths. (IJPAM). 33, 6, 807-817.
  21. Choudhury, R. and Dey, D. 2010. Free convective visco-elastic flow with heat and mass transfer through a porous medium with periodic permeability. Int. J. of Heat Mass Transfer. (Elsevier). 53, 1666-1672.
  22. Choudhury, R. and Deb, H. R. 2011. Flow of an elastico-viscous fluid due to a rotating disk in presence of an infinite saturated porous medium. Int. J. fluid engg. 3, 2, 187-196.
  23. Choudhury, R. and Das, U. J. 2012. Heat transfer to MHD oscillatory visco-elastic flow in a channel filled with porous medium. Phy. Res. Int. Egypt. Ar ID 879537, 5 pages.
  24. Choudhury, R. and Das, U. J. 2013. Visco-elastic effects on the three dimensional hydrodynamic flow past a vertical porous plate. Int. J. Heat Tech. Italy. 31,1, 1-8.
  25. Walters, K. 1960. The motion of an elastico-viscous liquid contained between co-axial cylinders (II). Quart. J. Mech. Appl. Math. 13, 444-461.
  26. Walters, K. 1962. The solution of flow problems in the case of materials with memories. J. Mecanique. 1, 473-478.
  27. Cowling, T. G. 1957. Magnetohydrodynamics. Interscience Publishers. N. Y.
  28. Siegel, R. and Howell, J. R. 1972. Thermal Radiation Heat Transfer, International Student Edition. Mc Graw-Hill. New York.
  29. Raptis, A. 1998. Radiation and free convection flow through a porous medium. Int. Commun. Heat Mass Transfer. 25, 289-295.
  30. Nowinski, J. L. and Ismail, I. A. 1965. Application of a multi-parameter perturbation method to elastostatics in development in theoretical and applied mechanics. N. A. Shaw. vol. 11. Pergamon Press. Oxford. 35.
Index Terms

Computer Science
Information Sciences


Visco-elastic permeability porous medium partially filled Walters liquid (Model B´).