THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Gopal Chandra Shit

,

Raju Haldar

THERMAL RADIATION AND HALL EFFECT ON MHD FLOW, HEAT AND MASS TRANSFER OVER AN INCLINED PERMEABLE STRETCHING SHEET

ABSTRACT
Of concern in this paper is an investigation of the combined effects of thermal radiation and Hall current on momentum, heat and mass transfer in laminar boundary-layer flow over an inclined permeable stretching sheet with variable viscosity. The sheet is linearly stretched in the presence of an external magnetic field and the fluid motion is subjected to a uniform porous medium. The effect of internal heat generation/absorption is also taken into account. The fluid viscosity is assumed to vary as an inverse linear function of temperature. The boundary-layer equations that governing the flow problem have reduced to a system of non-linear ordinary differential equations with a suitable similarity transformation. Then the transformed equations are solved numerically by employing a finite difference scheme. Thus the results obtained are presented graphically for the various parameters of interest.
KEYWORDS
thermal radiation, variable viscosity, MHD flow, Hall current, heat and mass transfer
PAPER SUBMITTED: 2010-11-15
PAPER REVISED: 2011-03-24
PAPER ACCEPTED: 2011-04-17
DOI REFERENCE: https://doi.org/10.2298/TSCI101115029S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 2, PAGES [S195 - S204]
REFERENCES
  1. Palumbo, L.J., Platzeck, A.M., MHD stationary symmetric flows with Hall effect, Journal of Plasma Physics, 72 (2006), pp. 457-467
  2. Maleque, K.A., Sattar, M.A., The effects of variable properties and hall current on steady MHD laminar convective fluid flow due to a porous rotating disk, International Journal of Heat and Mass Transfer, 48 (2005), pp. 4963-4972
  3. Hayat, T. Wang, Y., Hutter, K., Hall effects on the unsteady hydromagnetic oscillatory flow of a second-grade fluid, International Journal of Non-Linear Mechanics, 39 (2004), pp 1027-1037
  4. Liu, I.C., Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to a transverse magnetic field, International Journal of Heat and Mass Transfer, 47 (2004), pp. 4427-4437
  5. Cortell, R., Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to suction and to a transverse magnetic field, International Journa of Heat and Mass Transfer, 49 (2006), pp. 1851-1856
  6. Muhaimin, R.K., Azme, B. K., Effects of heat and mass transfer on non-linear MHD boundary layer flow over a shrinking sheet in the presence of suction, Applied Mathematics and Mechanics, 29 (2008), pp. 1309-1317
  7. Sakiadis, B.C., Boundary layer behavior on continuous solid surfaces, American Institute of Chemical Engineering Journal (AIChE), 7 (1961), pp. 26-28
  8. Crane, L. J., Flow past a stretching sheet, Journal of Applied Mathematics and Physics(ZAMP), 21 (1970), pp. 645-647
  9. Gupta, P. S., Gupta, A. S., Heat and Mass Transfer on a stretching sheet with suction or blowing, Canadian Journal of Chemical Engineering, 55 (1977), pp. 744-746
  10. Afify, A. A., MHD free-convective flow and mass transfer over a stretching sheet with chemical reaction, Heat and Mass Transfer, 40 (2004), pp. 495-50
  11. Aziz, A., Salem, M., Fathy, R., Effect of variable viscosity and suction/injection on thermal boundary layer of a non-Newtonian Power-law fluid past a Powe-law stretching surface, Thermal Science, 14 (2010), pp. 1111-1120
  12. Mukhopadhaya, S., Layek, G. C., Samad, Sk. A., Study of MHD boundary layer flow over a heated stretching sheet with variable viscosity, INternational Journal of Heat and Mass Transfer, 48 (2005), pp. 4460-4466
  13. Salem, A. M., Variable viscosity and thermal conductivity effects on MHD flow and heat transfer in viscoelastic fluid over a stretching sheet, Physics letters A 369 (2007), pp. 315-322
  14. T. Watanabe and I. Pop, Hall effects on magnetohydrodynamic boundary layer flow over a continuous moving flat plate, Acta Mechanica 108 (1995), 35-47
  15. Shit, G. C., Hall effects on MHD free-convective flow and mass transfer over a stretchibg sheet, International Journal of Applied Mathematics and Mechanics, 5(8)(2009), pp. 22-38
  16. Tak, S. S., Mathur, R., Gehlot, R. K., Khan, A., MHD free convection-radiation interaction along a vertical surface embedded in Darcian porous medium in presence of Soret and Dufour's effects, Thermal Science, 14 (2010), pp. 137-145
  17. Reza, M. and Gupta, A. S, Momentum and heat transfer in the flow of a viscoelastic fuid past a porous flat plate subject to suction or blowing, World Academy of Science, Engineering and Technilogy, 47 (2008), pp. 380-383
  18. Cowling, T. G., Magnetohydrodynamics, Interscience Publishers, New York, 1957
  19. Lai, F. C., Kulacki, F. A., The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium, International Journal of Heat and Mass Transfer, 33 (1990), pp. 1028-1031
  20. Cebeci, T., Cousteix, J., MOdeling and computation of boundary-layer flows, Springer-Verlag, 1999
  21. Misra, J. C., Shit, G. C., Biomagnetic viscoelastic fluid flow over a stretching sheet, Applied Mathematics and Computation, 210 (2009), pp. 350-361
  22. Misra, J. C., Shit, G. C., Flow of a biomagnetic viscoelastic fluid in a channel with stretching walls, ASME Journal of Applied Mechanics, 76 (2009), pp. 061006
PDF VERSION [DOWNLOAD]
Thermal radiation and hall effect on MHD flow, heat and mass transfer over an inclined permeable stretching sheet

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence