Science Journal of Applied Mathematics and Statistics
Volume 5, Issue 1, February 2017, Pages: 31-40
Received: Sep. 28, 2016;
Accepted: Nov. 10, 2016;
Published: Jan. 21, 2017
Views 2919 Downloads 79
Kennedy John Mwangi Karimi, School of Pure and Applied Sciences, Karatina University, Karatina, Kenya
Dickson Kande Kinyua, School of Pure and Applied Sciences, Karatina University, Karatina, Kenya
In this study we shall investigate hydromagnetic turbulent unsteady flow of an incompressible electrically conducting fluid between two parallel infinite plates. The flow variables such as velocity and thermodynamic properties at every point of fluid vary with respect to time. The effect of an applied transverse magnetic field normal to the main flow direction on the dynamic behavior of the fluid when the lower plate is stationary and the upper plate is impulsively started in opposite direction at constant velocity shall be investigated. Further, we shall investigate how the various parameters such as Peclet Number and Eckert Number affect the flow; in particular, velocity and temperature profiles. A finite difference method shall be used to solve the coupled non-liner and dimensionless partial differential equations governing this problem.
Kennedy John Mwangi Karimi,
Dickson Kande Kinyua,
Hydromagnetic Turbulent Flow Between Two Parallel Infinite Plates, Science Journal of Applied Mathematics and Statistics.
Vol. 5, No. 1,
2017, pp. 31-40.
Ahmed, M. S. El-Aziz, M. A. Abo-Eldahab, E. M. Abd-Elfatah, I. (1992). “Effect of variable density on hydromagnetic mixed convection flow of a non Newtonian fliud past past a moving vertical plate” Communications in Nonlinear Science and Numerical Simulation, Volume 14, Issue 5, Pages 2202-2214.
Bhaskara, S & Bathaiah, V. (1980). “MHD flow of a viscous incompressible and slightly conducting fluid between a parallel flat wall and a wavy wall” International Journal of Heat and Mass Transfer, Volume 32, Issues 13-14, Pages 1390-1395.
Betil, F. D. (2007). “Magneto hydrodynamics’’ Scholarpedia 2(4): 2295 pp1-5.
Calvert, J. B. (2002). “Magnetohydrodynamics” New York: Inter science.
Chandra, S. V. (2005) “MHD flow of an electrically conducting fluid between two parallel infinite plates when the upper plate is made to move with constant velocity while the lower plate is stationary” International Journal of Heat and Mass Transfer, Volume 52, Issues 13-14, Pages 3390-3395.
Chaturvedi, N. (1996). “MHD flow past an infinite porous plate with variable suction” Energy Conversion and Management, Volume 37, Issue 5, P p 623-627.
Cowling, T. G. (1957). “Magnetohydrodynamics,” New York: Interscience.
Denis, R. (1980). Encyclopedia of agricultural, food, and biological engineering pp 560-568.
Faraday, M. (1831). “Experimental Researches in Chemistry and Physics”. London: Richard Taylor and William Francis. pp. 33–53.
Gupta, V., & Gupta, S. K. (1991). “Fluid mechanics and its applications,” Wiley Eastern Limited, New Delhi, India pp 100-102
Hartman, J, & Lazarus, F. (1937). “Experimental investigations on the flow of mercury in a homogeneous magnetic field” pp 1-5.
Kalyuit, M. N. (1986). “Development of the flow field of an electrically conducting fluid in an inhomogeneous magnetic field” Reed Educational and Professional Publishing Ltd, pp29-35.
Kinyanjui, M., Chaturvedi, N., & Uppal, S. M. (1998). “MHD stokes problem for a vertical infinite plate in a dissipative rotating fluid with a hall current” Energy Conversion and Management, Volume 39, Issues 5-6, Pages 541-548
Kinyanjui, M, Kwanza, J. K., & Uppal S. M. (2001). “Magnetohydrodynamic free convection heat and mass transfer of a heat generating fluid past an impulsively started infinite vertical porous plate with Hall current and radiation absorption” Energy Conversion and Management, Volume 42, Issue 8, Pages 917-931.
Kumar, A. S., Singh, N. P., Singh, U., & Singh, H. (2009). “Convective flow past an accelerated porous plate in rotating system in presence of magnetic field” International Journal of Heat and Mass Transfer, Volume 52, Issues 13-14, Pages 3390-3395.
Jackson, J. D. (1975). “Classical Electrodynamics,” second edition pp 1-5.
Landau, L. D., & Lifshitz, E. M. (1982). “Fluid Mechanics,” Reed Educational and Professional Publishing Ltd, pp 129-135.
Molokov, S. Y., & Allen, J. E. (1992). J. phys. D: Appl. phys.25, pp 395-400.
Plumpton, F. (1961). “An introduction to Magnetofluid Mechanics” Oxford University Press.
Rossow, V. J. (1958): NASA Report No.1358.
Samiulhaq, Khan I, Ali F, Shafie S (2012). “MHD free convection flow in a porous medium with thermal diffusion and ramped wall temperature”. J Phys Soc Jpn 81: 4401.
Stewartson, K. (1951): Quart. J. Mcch. Appl. Math. 4,182.
Stokes, G. C. (1951). Cambr. Phil. Trans 9, 8.
Walker, J. S. (1971). “Liquid metal flow through a thin walled elbow in a plane perpendicular to a uniform magnetic field” International Journal of Engineering Science, Volume 24, Issue 11, Pages 1741-1754.