THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Paresh Vyas

,

Nupur Srivastava

RADIATIVE MHD COMPRESSIBLE COUETTE FLOW IN A PARALLEL CHANNEL WITH A NATURALLY PERMEABLE WALL

ABSTRACT
The paper pertains to investigations of thermal radiation effects on dissipative MHD Couette flow of a viscous compressible Newtonian heat- generating fluid in a parallel plate channel whose one wall is stationary and naturally permeable. Saffman’ slip condition is used at the clear fluid-porous interface. The fluid is considered to be optically thick and the radiative heat flux in the energy equation is assumed to follow Rossel and approximation. The momentum and energy equations have closed form solutions. The effects of various parameters on thermal regime are analyzed through graphs and tables.
KEYWORDS
Couette flow, MHD, radiation, compressible fluid, dissipation
PAPER SUBMITTED: 2012-08-28
PAPER REVISED: 2013-07-08
PAPER ACCEPTED: 2013-07-16
PUBLISHED ONLINE: 2013-08-04
DOI REFERENCE: https://doi.org/10.2298/TSCI120828099V
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Supplement 2, PAGES [S573 - S585]
REFERENCES
  1. Leadon, B. M., Plane Couette flow of a conducting gas through a transverse magnetic field, Convair Scientific Research Laboratory, RN No. 13.
  2. Verma, P. D., Bhatt, B. S., Plane Couette flow of two immiscible incompressible fluids with uniform suction at the stationary plate, Proceedings Mathematical Science, 78 (1973), 3, pp. 108-120.
  3. Chauhan, D. S., Vyas, P., Heat transfer in hydromagnetic Couette flow of compressible Newtonian fluid, ASCE Journal of Engineering Mechanics, 121 (1995), 1, pp. 57-61.
  4. Kuznetsov, A. V., Analytical investigation of Couette flow in a composite channel partially filled with a porous medium and partially with a clear fluid, Int. J. of Heat Mass Transfer, 41 (1998), 16, pp. 2556-2560.
  5. Chauhan, D. S., Kumar, V., Heat Transfer effects in a Couette flow through a composite channel partially filled by a porous medium with a transverse sinusoidal injection velocity and heat source, Thermal Science, 15 (2011), supp2, pp. S175-S186.
  6. Berman, A. S., Laminar flow in channels with porous walls, J. Appl. Phys., 24 (1953), 9, pp. 1232-1235.
  7. Beavers, G. S., Joseph, D. D., Boundary conditions at a naturally permeable wall, J. Fluid Mech., 30 (1967), 1, pp. 197-207.
  8. Taylor, G. I., A model for the boundary condition of a porous material-Part 1, J. Fluid Mech., 49(1971), 2, pp. 319-326.
  9. Richardson, S., A model for the boundary condition of a porous material- Part 2, J. Fluid Mech., 49(1971), 2, pp. 327-336.
  10. Larson, R. E., Higdon, J. J. L., Microscopic flow near the surface of two dimensional porous media-Part 2 Transverse flow, J. Fluid Mech., 178(1987), pp. 119-136.
  11. Sahraoui, M., Kaviany, M., Slip and no-slip velocity boundary conditions at the interface of porous plain media, Int. J. Heat Mass Transfer, 35(1992), 4, pp. 927-943.
  12. Vafai, K., Kim, S. J, Fluid mechanics of the interface region between a porous medium and a fluid layer- An exact solution, Int. J. Heat Fluid Flow, 11(1990), 3, pp. 254-256.
  13. Klikenberg, L. J., The permeability of porous media to liquids and gases, Drilling and Production Practices, American petroleum Institute, (1941), pp. 200-213.
  14. Saffman, P. G., On the boundary condition at the surface of a porous medium, Studies in Applied Mathematics, L(1971), 2, pp. 93-101.
  15. Makinde, O. D., Osalusi, E., MHD steady flow in a channel with slip at the permeable boundaries, Rom. Journ. Phys., 51 (2006), 3-4, pp. 319-328.
  16. Singh, R. K., Singh, A. K., Sacheti, N. C., Chandran, P., On hydromagnetic free convection in the presence of induced magnetic field, Heat and Mass Transfer, 46 (2010), 5, pp. 523-529.
  17. Nikodijevic, D., Milenkovic, D., Stamenkovic, Z., MHD Couette two-fluid flow and heat transfer in presence of uniform inclined field, Heat and Mass Transfer, 47(2011), 12, pp. 1525-1535.
  18. Viskanta, R., Heat Transfer in a radiating fluid with slug flow in a parallel plate channel, Applied Scientific Research, 13 (1964), 1, pp. 291- 311.
  19. Helliwell, J. B., On the stability of thermally radiative magnetofluiddynamic channel flow, Journal of Engineering Mathematics, 11 (1977), 1, pp. 67-80.
  20. Elsayed, M. M., Fathalah, K. A., Simultaneous convection and radiation in flow between two parallel plates, Int. J. of Heat and Fluid Flow, 3 (1982), 4, pp. 207-212.
  21. Helliwell, J. B., Mosa, M. F., Radiative heat transfer in horizontal magnetohydrodynamic channel flow with Buoyancy effects and an axial temperature gradient, Int. J. Heat Mass Transfer, 22 (1979), 5, pp. 657-668.
  22. Elbashbeshy, E. M. A., Emam, T. G., Effects of Thermal Radiation and heat transfer over an unsteady stretching surface embedded in a porous medium in the presence of heat source or sink, Thermal Science, 15 (2011), 2, pp. 477-485.
  23. Gebhart, B., Effect of viscous dissipation in natural convection, J. Fluid Mech., 38(1962), 2, pp. 225-232.
  24. Gebhart, B., Mollendorf, J., Viscous dissipation in external natural convection flows, J. Fluid Mech., 38(1969), 1, pp. 97-107.
  25. Magyari, E., Keller, B., The opposing effects of viscous dissipation allows for a parallel free convection boundary-layer flow along a cold vertical flat plate, Transp. Porous Media, 51(2003), 2, pp. 227-230.
  26. Rees, D. A. S., Magyari, E., Keller, B., The development of the asymptotic viscous dissipation profile in a vertical free convective boundary layer flow in a porous medium, Transp. Porous Media, 53(2003), 3, pp. 227-230.
  27. Illingworth, C. R., Some solutions of the equations of flow of a viscous compressible fluid, Proc. Cambr. Phil. Soc., 46 (1950), 3, pp. 469-478.
  28. Morgan, A. J. A., On the Couette flow of a compressible viscous, heat conducting, perfect gas, JAZ, 24 (1957), pp. 315-316.
  29. Modest, M. F., Radiative Heat Transfer, 2nd edition, Academic Press, New-York, USA, 2003.
PDF VERSION [DOWNLOAD]
Radiative MHD compressible Couette flow in a parallel channel with a naturally permeable wall

© 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