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Reseach Article

Combined Effect of Hall Current and Rotation on MHDmixed Convection Oscillating Flow in a Rotating Vertical Channel

by S. K. Guchhait, S. Das, R. N. Jana
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 49 - Number 13
Year of Publication: 2012
Authors: S. K. Guchhait, S. Das, R. N. Jana
10.5120/7684-0990

S. K. Guchhait, S. Das, R. N. Jana . Combined Effect of Hall Current and Rotation on MHDmixed Convection Oscillating Flow in a Rotating Vertical Channel. International Journal of Computer Applications. 49, 13 ( July 2012), 1-11. DOI=10.5120/7684-0990

@article{ 10.5120/7684-0990,
author = { S. K. Guchhait, S. Das, R. N. Jana },
title = { Combined Effect of Hall Current and Rotation on MHDmixed Convection Oscillating Flow in a Rotating Vertical Channel },
journal = { International Journal of Computer Applications },
issue_date = { July 2012 },
volume = { 49 },
number = { 13 },
month = { July },
year = { 2012 },
issn = { 0975-8887 },
pages = { 1-11 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume49/number13/7684-0990/ },
doi = { 10.5120/7684-0990 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:46:09.715620+05:30
%A S. K. Guchhait
%A S. Das
%A R. N. Jana
%T Combined Effect of Hall Current and Rotation on MHDmixed Convection Oscillating Flow in a Rotating Vertical Channel
%J International Journal of Computer Applications
%@ 0975-8887
%V 49
%N 13
%P 1-11
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Combined effects of Hall currents and rotation on MHD mixed convection in a rotating vertical channel have been studied. The governing equations are solved analytically in closed form. The effects of the various parameters on the velocity field, shear stresses, temperature field and the rate of heat transfer in terms of their amplitudes and tangent of phases are presented graphically. It is observed that the primary velocity decreases while the magnitude of the secondary velocity increases with an increase in Hall parameter parameter. It is also observed that both the primary velocity and the magnitude of the secondary velocity decrease with an increase in radiation parameter. Further, it is seen that the amplitudes of rate of heat transfer at the plates increases with an increase in either Prandtl number or radiation parameter or frequency parameter.

References
  1. Helliwell, J. B. and Mosa, M. F. (1979). Radiative heat transfer in horizontal magnetohydrodynamic channel flow with buoyancy effects and an axial temperature gradient. Int. J. Heat Mass Transfer. 22: 657-668.
  2. Takhar, H. S. and Ram, P. C. (1991). Free convection in hydromagnetic flows of a viscous heat-generating fluid with wall temperature oscillation and Hall currents. Astrophysics and Space Science. 183: 193-198.
  3. Alagoa, K. D. , Tay, G. and Abbey, T. M. (1998). Radiative and free convective effects of MHD flow through a porous medium between infinite parallel plates with time-dependent suction. Astrophysics and Space Science. 260(4): 455-468.
  4. Kinyanjui, M. Kwanza, J. K. and 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. 42(8): 917-931.
  5. Samad, M. A. and Rahman, M. M. (2006). Thermal radiation interaction with unsteady MHD flow past a vertical porous plate immersed in a porous medium. J. Naval Architecture and Marine Engineering. 3: 7-14.
  6. Chaudhary, R. C. and Jain, P. (2007). Hall effect on MHD mixed convection flow of a viscous elastic fluid past an infinite vertical porous plate with mass transfer and radiation. UUR J. Phys. 52(10): 110-127.
  7. Shit, G. C. and Haldar, R. Combined effects of thermal radiation and Hall current on MHD free convective flow and mass transfer over a stretching sheet with variable viscosity. Physics Flu-dyn. ar XIv: 1008. 0165v1.
  8. Israel-Cookey, C. , Amos, E. and Nwaigwe, C. (2010). MHD oscillatory Couette flow of a radiating viscous fluid in a porous medium with periodic wall temperature. Ameri. J Sci. Indust. Res. 1(2): 326-331.
  9. Ahmed, S. and Batin, A. (2010). Analytical model of MHD mixed convective radiating fluid with viscous dissipative heat. Int. J. Engin. Sci. Tech. 2(9): 4902-4911.
  10. Shateyi, S. , Mosta, S. S. and Sibanda, P. (2010). The effects of thermal radiation, Hall currents, Soret and Dufour on MHD flow by mixed convection over a vertical surface in porous media. Mathematical Problems in Engineering.
  11. Singh, K. D. and Pathak, R. (2010). An analysis of an oscillatory rotating MHD Poiseuille flow with injection/suction and Hall currents. Proc. Indian Natn. Sci. Acad. 76: 201.
  12. Aurangzaib, Sharidan Shafie (2011). Effects of Soret and Dufour on unsteady MHD flow by mixed convection over a vertical surface in porous media with internal heat generation, chemical reaction and Hall current. Canadian J. Sci. Engng. Math. 2(4) : 153-162.
  13. Singh, K. D. (2012). Exact solution of MHD mixed convection periodic flow in a rotating vertical channel with heat radiation. Int. J. Phys. Math. Sci. 3(1): 14-30.
  14. Singh, K. D. , Pathak, R. (2012). Effect of rotation and Hall current on mixed convection MHD flow through a porous medium in a vertical channel in presence of thermal radiation. Indian J. Pure and Appl. Phys. 50: 77-85.
  15. Cowling, T. G. , Magnetohydrodynamics, Interscience Publisher, Inc, New York, 1957.
  16. Cogley, A. C. L. , Vincenti, W. G. , Gilles, E. S. (1968). Differential approximation for radiative heat transfer in a non grey gas near equilibrium. Am. Inst. Aeronat. Astronaut. J. 6:551-553.
Index Terms

Computer Science
Information Sciences

Keywords

Hall Currents mixed convection magnetic parameter rotation parameter radiation parameter Prandtl number Grashof number and oscillatory plate temperature