An exact solution of the problem of a steady MHD Poiseuille flow with heat and mass transfer in the presence of a transverse magnetic field has been obtained with consideration for the induced magnetic field and thermal diffusion. The walls are assumed to be isothermal, porous, and subjected to suction/injection at a constant velocity. The effects of the Hartmann number and the magnetic Reynolds number on the velocity, temperature, and concentration fields, as well as on the volumetric and magnetic fluxes per unit width across the normal section of the channel and on the current density are studied. The present analysis includes also the effect of the Soret number on the transport characteristics. The novelty of the analysis is that the viscous and magnetic Reynolds numbers are unrestricted.
Similar content being viewed by others
References
T. G. Cowling, Magnetohydrodynamics, Interscience Publishers, New York (1957).
W. F. Hughes and F. J. Young, Electromagnetodynamics of Fluids, John Wiley & Sons, New York (1966).
V. M. Soundalgekar and J. P. Bhat, Oscillatory MHD channel flow and heat transfer, Indian J. Pure Appl. Math., 15, No. 7, 819–828 (1984).
T. Govindarajulu, Couette flow in hydromagnetics with time-dependent suction, Indian J. Pure Appl. Math., 9, No. 12, 1359–1364 (1978).
C. C. Chang and J. T. Yen, Magnetohydrodynamic channel flow under time-dependent pressure gradient, Phys. Fluids, 4, 1355–1361 (1961).
G. W. Sutton and A. Sherman, Engineering Magnetohydrodynamics, McGraw-Hill Book Co. Inc., New York (1965).
G. Bodosa and A. K. Borkakati, Unsteady free convection MHD flow and heat transfer of a viscoelastic fluid between two heated horizontal plates with heat sources or sinks, Indian J. Theor. Phys., 51, No. 1, 39–46 (2003).
O. D. Makinde and P. Y. Mhone, Heat transfer to MHD oscillatory flow in a channel filled with porous medium, Rom. J. Phys., 50, 931–938 (2005).
S. Ganesh and S. Krishnambal, Magnetohydrodynamic flow of a viscous fluid between two plates, J. Appl. Sci., 6, No. 11, 2420–2425 (2006).
J. Lahjomri, A. Oubarra, and A. Alemany, Heat transfer by laminar Hartmann flow in thermal entrance region with a step change in wall temperatures: the Graetz problem extended, Int. J. Heat Mass Transf., 45, No. 5, 1127–1148 (2002).
N. Ahmed, Soret and Dufour effects in steady flow of a viscous conducting fluid through a circular cylinder, J. Energy Heat Mass Transf., 36, 165–182 (2014).
N. Ahmed and M. Dutta, Heat transfer in an unsteady MHD flow through an infinite annulus with radiation, Boundary Value Problems, 11, 1–17 (2015).
N. Ahmed, Heat and mass transfer in Hartmann flow with Soret effect in presence of a constant heat source, Turk. J. Phys., 36, 446–460 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 1, pp. 128–136, January–February, 2019.
Rights and permissions
About this article
Cite this article
Ahmed, N. Heat and Mass Transfer in MHD Poiseuille Flow with Porous Walls. J Eng Phys Thermophy 92, 122–131 (2019). https://doi.org/10.1007/s10891-019-01914-w
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-019-01914-w