Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-28T15:06:49.976Z Has data issue: false hasContentIssue false
  • English
  • Français

Hall Effects on Unsteady Couette Flow in a Rotating System

Published online by Cambridge University Press:  02 May 2013

S. L. Maji ,
S. Das  and
R. N. Jana
S. L. Maji
Affiliation:
Department of Applied Mathematics, Vidyasagar University, Midnapore, India
S. Das*
Affiliation:
Department of Mathematics, University of Gour Bnaga, Malda, India
R. N. Jana
Affiliation:
Department of Applied Mathematics, Vidyasagar University, Midnapore, India
*
*Corresponding author (tutusanasd@yahoo.co.in)
Get access

Abstract

Hall effects on the unsteady Couette flow between two infinite horizontal parallel plates in a rotating system under the boundary layer approximations have been studied. One of the plate is at rest and the other oscillates in its own plane with the velocity U(t). An exact solution of the governing equations has been obtained by the use of the Laplace transform technique. The numerical results for the velocity components and the shear stresses are depicted graphically. Asymptotic behavior of the solution has analyzed for large values of magnetic parameter, rotation parameter and frequency parameter to gain some physical insight into the flow pattern. It is observed that there exists thin boundary layer (s) is formed near the stationary plate for large values of rotation parameter, magnetic parameter and frequency parameter.

Keywords

Hall effectsCouette flowMagnetic parameterHall parameterFrequency parameter and boundary layer
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 3 , September 2013 , pp. 443 - 452
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Kinyanjui, C. N. and Uppal, S. M., “MHD Stokes Problem for a Vertical Infinite Plate in a Dissipative Rotating Fluid with Hall Current,” Journal of Mag-netohydrodynamics, Plasma and Space Research, 8, pp. 15–30 (1998).Google Scholar
2.Nanda, R. S. and Mohanty, H. K., “Hydromagnetic Flow in a Rotating Channel,” Applied Science Research, 24, p. 65 (1971).Google Scholar
3.Jana, R. N., Datta, N. and Mazumder, B. S., “Mag-netohydrodynamic Couette Flow and Heat Transfer in a Rotating System,” Journal of the Physical Society of Japan, 42, p. 1034 (1977).Google Scholar
4.Seth, G. S. and Maiti, M. K., “MHD Couette Flow and Heat Transfer in a Rotating System,” Indian Journal for Pure and Applied Mathematics, 13, p. 931 (1982).Google Scholar
5.Seth, G. S., Jana, R. N. and Maiti, M. K., “Unsteady Hydromagnetic Couette Flow in a Rotating System,” International Journal of Engineering Science, 20, p. 989 (1982).Google Scholar
6.Seth, G. S., Nandkeolyar, R., Mahto, N. and Singh, S. K., “MHD Couette Flow in a Rotating System in the Presence of Inclined Magnetic Field,” Applied Mathematical Science, 3, p. 2919 (2009).Google Scholar
7.Seth, G. S. and Ghosh, S. K., “Unsteady Hydro-magnetic Flow in a Rotating Channel in the Presence of Oblique Magnetic Field,” International Journal of Engineering Science, 24, p. 1183 (1986).CrossRefGoogle Scholar
8.Chandran, P., Sacheti, N. C. and Singh, A. K., “Effect of Rotation on Unsteady Hydromagnetic Couette Flow,” Journal of Astrophysics and Space Science, 202, p. 1 (1993).Google Scholar
9.Singh, A. K., Sacheti, N. C. and Chandran, P., “Transient Effects on Magnetohydrodynamic Couette Flow with Rotation,” International Journal of Engineering Science, 32, p. 133 (1994).Google Scholar
10.Ganapathy, R., “A Note on Oscillatory Couette Flow in a Rotating System,” ASME Journal of Applied Mechanics, 61, p. 208 (1994).Google Scholar
11.Singh, K. D., “An Oscillatory Hydromagnetic Couette Flow in a Rotating System,” ZAMM, 80, p. 429 (2000).3.0.CO;2-1>CrossRefGoogle Scholar
12.Seth, G. S. and Singh, M. K., “Combined Free and Forced Convection MHD Flow in a Rotating Channel with Perfectly Conducting Walls,” Indian Journal of Theoretical Physics, 56, p. 203 (2008).Google Scholar
13.Das, S., Maji, S. L., Guria, M. and Jana, R. N., “Unsteady MHD Couette Flow in a Rotating System,” Mathematical and Computer Modelling, 30, pp. 1211–1217 (2009).CrossRefGoogle Scholar
14.Sato, H., “Hall Effect in the Viscous Flow of Ionised Gas Between Parallel Plates Under Transverse Magnetic Field,” Journal of the Physical Society of Japan, 16, p. 1427 (1961).Google Scholar
15.Yamanishi, T., “Hall Effect in Viscous Flow of Ionised Gases Through Straight Channels, Preprint, 17 Annual Meeting,” Physics Society Japan Osaka, 5, p. 29 (1962).Google Scholar
16.Sherman, A. and Sutton, G. W, Magnetohydrodynamics, Evanston, p. 173 (1971).Google Scholar
17.Mandal, G., Mandal, K. K. and Choudhury, G., “On Combined Effects of Coriolis Force and Hall Current on Steady MHD Couette Flow and Heat Transfer,” Journal of the Physical Society of Japan, 51, pp. 2010–2015 (1982).Google Scholar
18.Mandal, G. and Mandal, K. K., “Effects of Hall Current on MHD Couette Flow Between Thick Arbitrarily Conducting Plates in a Rotaing System,” Journal of the Physical Society of Japan, 52, pp. 470–477 (1983).Google Scholar
19.Gupta, A. S., “Heat Transfer in Hydromagnetic Couette Flow with Hall Effects,” The Mathematics Student, XL, p. 103 (1972).Google Scholar
20.Datta, N. and Jana, R. N., “Hall Effects on Hydromagnetic Convective Flow Though a Channel with Conducting Walls,” International Journal of Engineering Science, 15, p. 561 (1977).CrossRefGoogle Scholar
21.Datta, N. and Jana, R. N., “Oscillatory Magnetohy-drodynamic Flow Past a Flat Plate with Hall Effects,” Journal of the Physical Society of Japan, 40, p. 1469 (1976).CrossRefGoogle Scholar
22.Majumder, B. S., “Combined Effects of Hall Currents and Ratation on Hydromagnetic Flow over an Oscillating Porous Plate,” International Journal of Engineering Science, 15, p. 601 (1977).Google Scholar
23.Datta, N. and Jana, R. N., “Hall Effects on Unsteady Couette Flow,” International Journal of Engineering Science, 15, pp. 35–43 (1977).Google Scholar
24.Bhaskara, R. N. and Bathaiah, D., “Hall Effects on MHD Couette Flow Through a Porous Straight Channel,” Defence Science Journal, 32, pp. 313–326 (1982).Google Scholar
25.Nagy, T. and Demendy, Z., “Effects of Hall Current and Coriolis Force on Hartmann Flow Under General Wall Conditions,” Acta Mechanica, 113, p. 77 (1995).Google Scholar
26.Pop, I., Ghosh, S. K. and Nandi, D. K., “Effects of the Hall Current on Free and Forced Convective Flow in a Rotating Channel in the Presence of an Inclined Magnetic Field,” Magnetohydrodynamics, 37, p. 348 (2001).Google Scholar
27.Seth, G. S., Nandkeolyarb, R. and Ansaric, Md. S., “Hall Effects on Oscillatory Hydromagnetic Couette Flow in a Rotating System,” International Journal of Academy Research, 1, pp. 6–17 (2009).Google Scholar
28.Cowling, T. G., Magnetohydrodynamics, New York, Intersscience (1957).Google Scholar
29.Batchelor, G. K., An Introduction to Fluid Dynamics, Ist Edition, Cambridge Press, Cambridge, UK (1967).Google Scholar