MHD Convection Fluid Flow and Heat Transfer in an Inclined Microchannel with Heat Generation
American Journal of Applied Mathematics
Volume 5, Issue 5, October 2017, Pages: 124-131
Received: Apr. 29, 2017; Accepted: Aug. 9, 2017; Published: Sep. 22, 2017
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Hasan Nihal Zaidi, Department of Basic Sciences, College of Preparatory Year, University of Hail, Hail, Kingdom of Saudi Arabia
Naseem Ahmad, Department of Mathematics, Jamia Millia Islamia, New Delhi, India
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The problem of fully developed free convection flow of electrically conducting fluid in an inclined microchannel in the presence of transverse magnetic field and internal heat generation is investigated. The analytical solution for velocity profile and temperature profile have been obtained, considering the velocity slip and temperature jump conditions at the wall of the microchannel. The effect of different parameters involved in the problem on the velocity and temperature profile along with the skin friction parameter and Nusselt number has been discussed graphically.
Magnetohydrodynamic (MHD), Free Convection, Heat Generation, Microchannel, Velocity Slip, Temperature Jump
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Hasan Nihal Zaidi, Naseem Ahmad, MHD Convection Fluid Flow and Heat Transfer in an Inclined Microchannel with Heat Generation, American Journal of Applied Mathematics. Vol. 5, No. 5, 2017, pp. 124-131. doi: 10.11648/j.ajam.20170505.11
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E. B. Akilic, M. A. Schmidt, and K. S. Breuer, “Gaseous slip flow in long microchannels”. J. Microelectomech. syst. (1997), 6, 167-178.
S. W. Janson, H. Helvajian and K. Breuer, “MEMS, Micorengineering and Aerospace System,” In. 30th AIAA Fluid Dyn. Conf., (1999), Norfolk, Virginia, AIAA 99-3802.
M. Gad- el- Hak, “The Fluid Mechanics of Microdevices: The Freeman Scholar Lecture”. J. Fluid Eng., (1999), 121, 5-33.
C. K. Chen, H. C. Weng, “Natural convection in a Vertical Microchannel.” J. Heat Transfer., (2005), 127, 1053-1056.
H. C. Weng, C. K. Chen, “Variable Physical Properties in natural convective gas Microflow.” J. Heat transfer., (2008), 130, 082401.
H. C. Weng, C. K. Chen, “On the importance of thermal Creep in natural convective gas microflow with wall heat fluxes.” J. Phys. D: appl. Phys., (2008), 41, 115501.
B. Buonomo, O. Manca, “Natural convection slip flow in a vertical microchannel heated at uniform heat flux.” Int. J. of Thermal Sciences, (2010), 49, 1333-1334.
G. Karniadakis, A. Beskok, Microflow fundamentals and Simulation. Springer Verlag, New York, (2002).
Eckert ERG, Draeke Jr RM, Analysis of heat and mass transfer. Mcgraw Hill, New york, (1972),
B. K. Jah, B. Aina, A. T. Ajiya, “MHD natural convection flow in a vertical parallel plates microchannel,” Aim Shams Engg. Journal, (2015), 6, 289-295.
A. J. Chamkha, “Unsteady Laminar Hydromagnetic Fluid-Particle Flow and Heat Transfer in Channels and Circular Pipes”. International Journal of Heat and Fluid Flow, (2000), 21, 740-746,
A. J. Chamkha, A. M. Aly, “MHD Free Convection Flow of a Nanofluid past a Vertical Plate in the Presence of Heat Generation or Absorption Effects.” Chemical Engineering Communications, (2011), 198, 425-441.
A. J. Chamkha, A. M. Rashad, Ch. Ram Reddy and P. V. Murthy, “Effect of Suction/Injection on Free Convection along a Vertical Plate in a Nanofluid Saturated Non-Darcy Porous Medium with Internal Heat Generation.” Indian Journal of Pure and Applied Mathematics, (2014), 45, 321-341.
A. F. Khadrawi, A. Othman, M. A. Al- Nimr, “Transient free convection fluid flow in a vertical micro channel as described by the hyperbolic heat conduction Model,” Int. j. Thermophys., (200)5, 26, 1053-1056.
Hasan Nihal Zaidi, Naseem Ahmad, MHD convection flow of two immiscible fluids in an inclined channel filled with heat generation/absorption, American j. Applied Mathematics, (2016), 4, 80-91.
C. C. Wang, W. J. Chang, C. H. Dai, Y. T. Lin, K. S. Yang, “Effect of inclination on the convective boiling performance of a microchannel heat sink using HEF – 7100,” J. Experimental Thermal and fluid Science,( 2012), 36, 143-148,.
Hartmann, J., “Hg-dynamics I Theory of the Laminar Flow of an Electrically Conductive Liquid in a Homogeneous Magnetic Field,” kgl Danskevidenskab Selkab Mat Fys Medd., (1937), 15.
Seigel, R., “Effect of Magnetic Field on Forced convective Heat transfer in a Parallel Plate Channel,”. J Appl. Mech. (1958), 25, 415.
Osterle, J. F., Young, F. J., “Natural Convection Between Heated Vertical Plates in a Horizontal Magnetic Field,” J. Fluid Mech., (1961), 11, 512-518.
Perlmutter, M., and Seigal, R., “Heat Transfer to an Electrically Conducting Fluid Flowing in a Channel with Transverse Magnetic Field,” NACA TN D-875, (1961).
Romig, M. F., “The Influence of Electric and Magnetic Fields on Heat Transfer to Electrically Conducting Fluids,” Adv. Heat Transfer, (1961), 1, New York, Academic Press,
Umavathi, J. C., “A Note on Magnetoconvection in a Vertical Enclosure,” Int. J. Nonlinear Machanics, (1996), 31, 371-376.
Naseem Ahmad, Hasan Nihal Zaidi, “Magnetic effect on unsteady oberbeck convection through vertical stratum,” Int. j. heat and Technology, (2006), 25, 12-131.
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