The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Diffusion-Thermo Effect on Free Convective Heat and Mass Transfer MHD Flow in a Vertical Channel in the Presence of Chemical Reaction and Heat Source


Affiliations
  • Trident Academy of Technology, Department of Mathematics, Bhubaneswar, India
  • Siksha ‘O’ Anusandhan University, Department of Mathematics, Bhubaneswar, India
     

   Subscribe/Renew Journal


An analysis is made to study the eects of diusion-thermo and chemical reaction on fully developed laminar MHD ow of electrically conducting viscous incompressible uid in a vertical channel formed by two vertical parallel plates in the presence of heat source was taken into consideration with uniform temperature and concentration. The analytical solution by Laplace transform technique of partial dierential equations is used to obtain the ex-pressions for the velocity, temperature and concentration. It is interesting to note that under the in uence of dominating mass diusivity over thermal diffusivity with stronger Lorentz force reduce the velocity at all points of the channel. The increasing eect of heat source parameter leads to accelerate the velocity and decelerate the temperature. Further, the increasing eect of chemical reaction parameter enhances the velocity as well as temperature. It is observed that time span plays an important role to modify the frictional drag due to shear stress at the plates. Dufour eect and chemical reaction rate in the presence of heavier species enhance the frictional drag whereas heat source parameter leads to reduce the magnitude of frictional drag at both the plates.

Keywords

MHD Flow, Diffusion-Thermo Effect, Chemical Reaction, Mass Flux, Sustentation, Heat Source.
Subscription Login to verify subscription
User
Notifications
Font Size


  • Soundalgekar, V.M. and Akolkar, S.P.( 1983). E ects of free convective currents and mass transfer ow past a vertical oscillating plate. Astrophys. Space Sci., Vol. 89: pp. 241-254.

  • Kafoussias, N.G. and Williams, E.W. (1995) Thermal-di usion and di usion-thermo e ects on mixed free-forced convective and mass transfer boundary layer ow with temperature de- pendent viscocity. Int. J. Eng. Sci., Vol. 33(9): pp. 1369-1384.

  • Jha, B.K. and Singh, A.K. (1990). Soret e ects on free convection and mass transfer ow in stokes problem for an in nite vertical plate. Astrophys, Space Sci., Vol. 173: pp. 251-255.

  • Kafoussias, N.G. (1992). MHD thermal di usion e ects on free convective and mass transfer

  • ow over an in nite vertical moving plate. Astrophys Space Sci., Vol. 192: pp. 11-19.

  • Alam, M.S., Rahman, M.M. and Samad, M.A. (2006) Dufour and Soret e ects on unsteady MHD free convection and mass transfer ow past a vertical porous plate in a porous medium. Nonlinear Anal, Model, Control, Vol. 11(3): pp. 217-226.

  • Alam, M.S., Rahman, M.M., Ferdous, M., Maino, K., Mureithi, E. and Postelnicu, A. (2007): Di usion-thermo and thermal-di usion e ects on free convective heat and mass transfer ow in a porous medium with time dependent temperature and concentration. Int. J. Appl. Eng. Res., Vol. 2(1): pp. 81-96.

  • Beg, O.A., Beg, T.A., Bakier, A.Y., and Prasad, V.R., (2009) Chemically-reacting mixed convective heat and mass transfer along inclined and vertical plates with soret and Dufour e ects: numerical solution. Int. J. Appl. Math. Mech., Vol. 5(2): pp. 39-57.

  • Jha, B.K., Ajibade, A.O. (2010): Free convection heat and mass transfer ow in a vertical channel with the Dufour E ect. J. Process Mechanical Engineering, Vol. 224 Part E, pp. 91-101.

  • Dursunkaya, Z and Worek, M.W. (1992) Di usion { thermo and thermal-di usion e ects in transient and steady natural convection from a vertical surface. Int. J. Heat, Mass Transfer, Vol. 35(8), pp. 2060-2065.

  • Chambre, P.L., Young, J.D. (1958) on di usion of a chemically reactive species in a laminar boundary layer ow, Physics of uids, Vol. 1, pp. 40-54.

  • Aberu, C.R.A., Alfradique, M.F. and Telles, A.S. (2006): Boundary layer ows with Dufour and Soret e ects: I: Forced and natural convection. Chemical Engineering Science, Vol. 61, pp. 4282-4289.

  • Saxena, S.S and Dubey, G.K. (2011): Unsteady MHD heat and mass transfer free convection

  • ow of a polar uid past a vertical moving porous plate in a porous medium with heat generation and thermal di usion, Adv. Appl. Sci. Res, Vol. 2, No. 4, pp. 259-278.

  • Raveendra, K., Vijaya Kumar, A.G., and Varma, S.V.K. (2012): Di usion-thermo and ra- diation e ects on MHD free convective heat and mass transfer ow past an in nite vertical plate in the presence of a chemical reaction of rst order, Adv. Appl. Sci. Res, Vol. 3, No. 4, pp. 2446-2462.

  • Saritha, S., Satyanarayan, P.V. (2012): Thermal di usion and chemical reaction e ects on unsteady MHD free convection ow past a semi-in nite vertical permeable moving plate, Asian Journal of Current Engineering and Maths, Vol. 1, No. 3, pp. 131-138.

  • Shivaiah, S. and Anand Rao, J. (2012): Chemical reaction e ect on an unsteady MHD free convection ow past a vertical porous plate in the presence of suction or injection, Theoret. Appl. Mech, Vol. 39, No. 2, pp. 185-208.

  • A fy, A.A. (2009): E ects of thermal di usion and di usion thermo on free convective heat and mass transfer over a stretching surface considering suction and injection, Commun. Nonlinear Sci. Numer. Simulat, Vol. 14, pp. 2202-2214.

  • Chenna Kesavaiah, D., Satyanarayan, P.V., and Venkataraman, S. (2013): Radiation and rhermo-di usion e ects on mixed convective heat and mass transfer owof a viscous- dissipated uid over a vertical surface in the presence of chemical reaction with heat source, International Journal of Scienti c Engineering and Technology, Vol. 2, No. 2, pp. 56-72.

  • Pai, Shih-I. (1956): Viscous ow theory, D. Van Nostrand Co. INC, New York, pp. 118-119.

  • Debanath, L. and Bhatta, D. (2007): Integral transforms and their applications, Applications of Laplace transforms. Chapman and Hall / CRC, Taylor and Francies Group, London, New York, pp. 133-267.

  • Cramer, K. R. and Pai, S.I. (1973): Mageneto uid dynamics for engineers and applied physics { Scripta Publishing Company, Mc. Graw Hill.


Abstract Views: 313

PDF Views: 1




  • Diffusion-Thermo Effect on Free Convective Heat and Mass Transfer MHD Flow in a Vertical Channel in the Presence of Chemical Reaction and Heat Source

Abstract Views: 313  |  PDF Views: 1

Authors

R. N. Barik
, India
G. C. Dash
, India

Abstract


An analysis is made to study the eects of diusion-thermo and chemical reaction on fully developed laminar MHD ow of electrically conducting viscous incompressible uid in a vertical channel formed by two vertical parallel plates in the presence of heat source was taken into consideration with uniform temperature and concentration. The analytical solution by Laplace transform technique of partial dierential equations is used to obtain the ex-pressions for the velocity, temperature and concentration. It is interesting to note that under the in uence of dominating mass diusivity over thermal diffusivity with stronger Lorentz force reduce the velocity at all points of the channel. The increasing eect of heat source parameter leads to accelerate the velocity and decelerate the temperature. Further, the increasing eect of chemical reaction parameter enhances the velocity as well as temperature. It is observed that time span plays an important role to modify the frictional drag due to shear stress at the plates. Dufour eect and chemical reaction rate in the presence of heavier species enhance the frictional drag whereas heat source parameter leads to reduce the magnitude of frictional drag at both the plates.

Keywords


MHD Flow, Diffusion-Thermo Effect, Chemical Reaction, Mass Flux, Sustentation, Heat Source.

References