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EFFECTS OF CHEMICAL REACTION IN THERMAL AND MASS DIFFUSION OF MICROPOLAR FLUID SATURATED IN POROUS REGIME WITH RADIATION AND OHMIC HEATING

ABSTRACT
The present paper analyzes the chemically reacting free convection MHD micropolar flow, heat and mass transfer in porous medium past an infinite vertical plate with radiation and viscous dissipation. The non-linear coupled partial differential equations are solved numerically using an implicit finite difference scheme known as Keller-box method. The results for concentration, transverse velocity, angular velocity and temperature are obtained and effects of various parameters on these functions are presented graphically. The numerical discussion with physical interpretations for the influence of various parameters also presented.
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PAPER SUBMITTED: 2013-04-15
PAPER REVISED: 2014-02-10
PAPER ACCEPTED: 2014-02-19
PUBLISHED ONLINE: 2014-03-08
DOI REFERENCE: https://doi.org/10.2298/TSCI130415016K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE 2, PAGES [593 - 602]
REFERENCES
  1. Yamamoto, K., Iwamura, N., Flow with convective acceleration through a porous medium, J. Engng. Math., 10 (1976), 1, pp. 41-54
  2. Yamamoto, K., Yoshida, Z., Flow through a porous wall with convective acceleration, J. Phys. Soc. Japan, 37 (1974), 3, pp. 774-779
  3. Brinkman, H.C., A calculation of a viscous force extend by a flowing fluid on a dense swarm of particles, Appl. Sci. Res. A , 1 (1947), 1, pp. 27-34
  4. Raptis, A., Perdikis, C., Tzivanidis, G., Free convection flow through a porous medium bounded by a vertical surface, J. Phys. D: Appl. Phys., 14 (1981), 7, pp. 99-102
  5. Raptis, A., Kafousias, N.G., Free convection and mass transfer flow through a porous medium under the action of a magnetic field, Rev. Roum. Sci. Techn. Mec. Appl., 27, (1982), 1, pp. 37-43
  6. Raptis, A., Effects of couple stresses on the flow through a porous medium, Rheologica Acta, 21 (1982), 6, pp. 736-737
  7. Raptis, A., Megnetohydrodynamic flow of a polar fluid through a porous medium, Bull. de la classe des Sc., 69 (1983), pp. 530-534
  8. Eringen, A.C., Suhubi, E.S., Nonlinear theory of simple microelastic solids-I, International Journal of Engineering Science, 2 (1964), pp. 189-203
  9. Suhubi, E.S., Eringen, A.C., Nonlinear theory of simple microelastic solids-II, International Journal of Engineering Science, 2 (1964), pp. 389-404
  10. Eringen, A.C., Linear theory of micropolar elasticity, Journal of Mathematics and Mechanics, 15 (1966a), pp. 909-923
  11. Chen, J., Lee, J.D., Liang, C., Constitutive equations of Micropolar electromagnetic fluids, Journal of Non-Newtonian Fluid Mechanics, 166 (2011), pp. 867-874
  12. Borrelli, A., Giantesio, G., Patria, M.C., Numerical simulations of three-dimensional MHD stagnation-point flow of a micropolar fluid, Computers and Mathematics with Applications, 66 (2013), 4, pp. 472-489
  13. Nowacki, W., Couple-stresses in the theory of thermoelasticity I, Bulletin Academic Polon Science Series Science Technology, 14 (1966), pp. 263-272
  14. Eringen, A.C., A unified theory of thermomechanical materials, International Journal of Engineering Science, 4 (1966b), pp. 179-202
  15. Eringen, A.C., Foundations of micropolar thermoelasticity, Courses of Lectures No. 23, CSIM Udine Springer, Berlin, 1970
  16. Tauchert, T.R., Claus, Jr. W.D., Ariman, T., The linear theory of micropolar thermoelasticity, International Journal of Engineering Science, 6 (1968), 1, pp. 37-77
  17. Tauchert, T.R., Thermal stresses in micropolar elastic solids, Acta Mechanica, 11 (1971), pp. 155-169.
  18. Kim, Y.J. , Heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium, Transport Porous Media, 56 (2004), pp. 17-37
  19. Ghebhart, B., Pera, L., The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion, Int. J. Heat Mass Transfer, 14 (1971), 12, pp. 2025-2050
  20. Sparrow, E.M., Minkowycz, W.J., Eckert, E.R.G., Transportation - induced buoyancy and thermal diffusion in a helium air free convection boundary layer, J. Heat Trans. ASME, 86C (1964), 4, pp. 508-514
  21. Soundalgekar, V.M., Effects of mass transfer on free convective flow of a dissipative, incompressible fluid past an infinite vertical porous plate with suction, Proc. Indian Acad. Sci., 84A (1976), 5, pp. 194-203
  22. Acharya, M., Dash, G.C., Singh, L.P., Magnetic field effects on the free convection and mass transfer flow through porous medium with constant suction and constant heat flux, Indian J. Pure Appl. Math., 31 (2000), 1, pp. 1-18
  23. Singh, K.D., Chand, K., Unsteady free convective MHD flow past a vertical porous plate with variable temperature, Proc. Nat. Acad. Sci., 70A (2000), pp. 49-58
  24. Kandasamy, R., Muhaimin, I., Khamis, A.B., Thermophoresis and variable viscosity effects on MHD mixed convective heat and mass transfer past a porous wedge in the presence of chemical reaction, Heat Mass Transfer, 45 (2009), 6, pp. 703-712
  25. Kandasamy, R., Devi, S.P.A., Effects of chemical reaction, heat and mass transfer on non-linear laminar boundary-layer flow over a wedge with suction or injection, Journal of Computational and Applied Mechanics, 5 (2004), 1, pp. 21-31
  26. Chamkha, A.J., Hydromagnetic natural convection from an isothermal inclined surface adjacent to a thermally stratified porous medium, International journal of Engineering Science, 35 (1997), 10, pp. 975-986
  27. Asghar, S., Hanif, K., Hayat, T., Khalique, C.M., MHD non-newtonian flow due to noncoaxial rotations of an accelerated disk and a fluid at infinity, Communications in Nonlinear Science and Numerical Simulation, 12 (2007), 4, pp. 465-485
  28. Modest, F., Radiative Heat Transfer (2nd edition), Academic Press, New York, USA, 2003
  29. Siegel, R., Howell, J.R., Thermal Radiation Heat Transfer (3rd edition), Hemisphere, New York, USA, 1992
  30. Ganesan, P., Loganathan, P., Soundalgekar, V.M., Radiation effects on Flow Past an Impulsively Started Infinite Vertical Plate, Int. J. of Applied Mechanics and Engineering, 6 (2001), 3, pp. 719- 730
  31. Brewster, M.Q., Thermal Radiative Transfer and Properties, John Wiley and sons, Inc., New York, 1992.
  32. Kumar, H., Radiative heat transfer with hydromagnetic flow and viscous dissipation over a stretching surface in the presence of variable heat flux, Thermal Science, 13 (2009), 2, pp. 163-169
  33. Hossain, M.A., Takhar, H.S., Radiation effect on mixed convection along a vertical plate with uniform surface temperature, Heat and Mass transfer, 31 (1996), 4, pp. 243-248
  34. Raptis, A., Massals, C.V., Magnetohydrodynamics flow past a plate by the presence of radiation, Heat and Mass Transfer, 34 (1998), 2-3, pp. 107-109
  35. Hossain, M.A., Alim, M.A., Rees, D.A.S., The effect of radiation in free convection from a porous vertical plate, Int. J. Heat and Mass transfer, 42 (1999), 1, pp. 181-191
  36. Aboeldahab Emad, M., Radiation effect on heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream, J. Phys. D., Appl. Phys., 33 (2000), 24, pp. 3180-3185
  37. Ghaly, A.Y., Elbarbary, E.M.E., Radiation effect on MHD free convection flow of a gas at a stretching surface with uniform free stream, J. Appl. Math., 2 (2002), 2, pp. 93-103
  38. Muthucumaraswamy, R., Kumar, G.S., Heat and Mass transfer effect on moving vertical plate in the presence of thermal radiation, Theoret. Appl. Mech., 31 (2004), 1, pp. 35-46
  39. Hossain, M.A., Viscous and Joule heating effects on MHD free convection flow with variable plate temperature, Int. J. Heat and Mass transfer, 35 (1992), 12, pp. 3485-3487
  40. Chen, C.H., Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation, Int. J. Engineering Science, 42 (2004), 7, pp. 699-713
  41. Cebeci, T., Bradshaw, P., Momentum transfer in boundary layers, Hemisphere, New York, USA, 1977
  42. Cebeci, T., Bradshaw, P., Physical and computational aspects of convective heat transfer, Springer- Verlag, New York, USA, 1988
  43. Cogley, A.C., Vincenty, W.G., Gilles, S.E., Differential approximation to radiative heat transfer in a non-gray gas near equilibrium, AIAA J, 6 (1968), pp. 551-553

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