Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel
More details
Hide details
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
Online publication date: 2017-09-09
Publication date: 2017-08-01
International Journal of Applied Mechanics and Engineering 2017;22(3):567-582
The present work presents a theoretical investigation of an MHD mixed convection flow in a vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. The influence of an induced magnetic field arising due to motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The effects of various non-dimensional parameters such as rarefaction, fluid wall interaction, the Hartmann number and the magnetic Prandtl number on the velocity, the induced magnetic field, the temperature, the induced current density, and skin friction have been presented in a graphical form. It is found that the effect of the Hartmann number and magnetic Prandtl number on the induced current density is found to have a decreasing nature at the central region of the microchannel.
Cramer K.R. and Pai S. (1973): Magneto fluid dynamics for engineers and applied physicists. – New York: McGraw-Hill, pp.204-237.
Chawla S.S. (1967): Magnetohydrodynamics unsteady free convection. – ZAMM, vol.47, pp.499-508.
Das S., Jana R.N. and Makinde O.D. (2014): MHD boundary layer slip flow and heat transfer of nanofluid past a vertical stretching sheet with non-uniform heat generation/absorption. – International Journal of Nanoscience, vol.13, No.3, 1450019.
Sheikholeslamia M. and Gorji-Bandpy M. (2014): Free convection of ferro-fluid in a cavity heated from below in the presence of an external magnetic field. – Powder Technol.; vol.256, pp.490-8.
Sheikholeslamia M., Gorji-Bandpy M., Ganji D.D., Rana P. and Soleimani Soheil (2014): Magnetohydrodynamic free convection of Al2O3–water nanofluid considering thermophoresis and Brownian motion effects. – Comput. Fluid, vol.94, pp.147-60.
Sheikholeslamia M., Gorji-Bandpy M. and Ganji D.D. (2014): Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid. – Powder Technol., vol.254, pp.82-93.
Chaughan D. and Rastogi P. (2012): Heat transfer effects on a rotating MHD Couette flow in a Channel partially by a porous medium with Hall current. – Journal of Applied Science and Engineering, vol.15, No.3, pp.281-290.
Ibrahim W. and Makinde O.D. (2015): Double-diffusive mixed convection and MHD stagnation point flow of nanofluid over a stretching sheet. – Journal of Nanofluids, vol.4, pp.28-37.
Farhad A., Norzieha M., Sharidan S., Khan I. and Samiuthaq (2012): On hydromagnetic rotating flow in a porous medium with slip condition and Hall current. – International Journal of the Physical Sciences, vol.7, No.10, pp.1540-1548.
Farhad Ali, Ilyas Khan, Samiulhaq, Norzieha Mustapha and Sharidan Shafie (2012): Unsteady magnetohydrodynamic oscillatory flow of viscoelastic fluids in a porous Channel with heat and mass transfer. – Journal of the Physical Society of Japan, vol.81, 064402.
Jha B.K., Aina Babatunde and Ajiya A.T. (2015): MHD natural convection flow in a vertical parallel plate microchannel. – Ain Shams Engineering Journal, vol.6, pp.289-295.
Jha B.K., Aina Babatunde and Ajiya A.T. (2015): Role of suction/injection on MHD natural convection flow in a vertical microchannel. – International Journal of Energy and Technology, vol.7, pp.30-39.
Jha B.K., Aina Babatunde and Sani Isa (): Transient Magnetohydrodynamic Free Convective Flow in Vertical Micro-Concentric-Annuli. – Proc IMechE Part N: J Nanoengineering and Nanosystems, DOI: 10.1177/1740349915578956.
Jha B.K., Aina Babatunde and Sani Isa (2015): Fully developed MHD natural convection flow in a vertical annular microchannel: an exact solution. – Journal of King Saud University-Science, vol.27, pp.253-259.
Jha B.K. and Babatunde Aina (2016): MHD natural convection flow in a vertical micro-porous-annulus in the presence of radial magnetic field. – Journal of Nanofluids, doi:10.1166/jon.2016.1204.
Jha B.K., Babatunde Aina and Sani Isa (2015): MHD natural convection flow in a vertical micro-concentric-annuli in the presence of radial magnetic field: an exact solution. – Journal of Ain Shams Engineering, http://dx.doi.org/10.1016/j.as....
Singh R.K., Singh A.K., Sacheti N.C. and Chandran P. (2010): On hydromagnetic free convection in the presence of induced magnetic field. – Heat Mass Transf., vol.46, pp.523-529.
Jha B.K. and Sani I. (2013): Computational treatment of MHD of transient natural convection flow in a vertical Channel due to symmetric heating in presence of induced magnetic field. – J. Phys. Soc. Jpn, 82:084401.
Ghosh S.K., Beg O.A. and Zueco J. (2010): Hydromagnetic free convection flow with induced magnetic field effects. – Meccanica, vol.14, pp.175-185.
Kumar A. and Singh A.K. (2013): Unsteady MHD free convective flow past a semi-infinite vertical wall with induced magnetic field. – Appl Math. Comput., vol.222, pp.462-471.
Sarveshanand and Singh A.K. (): Magnetohydrodynamic free convection between vertical parallel porous plates in the presence of induced magnetic field. – SpringerPlus, DOI 10.1186/s40064-015-1097-1.
Avci M. and Aydin O. (2007): Mixed convection in a vertical parallel plate microchannel. – ASME J. Heat Transfer, vol.129, pp.162-166.
Eckert E.R.G. and Drake R.M. Jr. (1972): Analysis of heat and mass transfer. – New York: McGraw-Hill, Chap. 11.
Goniak R. and Duffa G. (1995): Corrective term in wall slip equations for Knudsen layer. – J. Thermophys. Heat Transfer, vol.9, pp.383-384.
Chen C.K. and Weng H.C. (2005): Natural convection in a vertical microchannel. – J. Heat Transfer, vol.127, pp.1053-1056.
Journals System - logo
Scroll to top