Hostname: page-component-cb9f654ff-hn9fh Total loading time: 0 Render date: 2025-08-27T20:26:55.009Z Has data issue: false hasContentIssue false
  • English
  • Français

Unsteady Hydromagnetic Flow Due to Concentric Rotation of Eccentric Disks

Published online by Cambridge University Press:  16 October 2012

S. Das ,
M. Jana  and
R. N. Jana
S. Das
Affiliation:
Department of Mathematics, University of Gour Banga, Malda 732 103, India
M. Jana
Affiliation:
Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, India
R. N. Jana*
Affiliation:
Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, India
*
*Corresponding author (jana261171@yahoo.com)
Get access

Abstract

The unsteady hydromagnetic flow of a viscous incompressible electrically conducting fluid between two parallel disks rotating with the same angular velocity initially about non-coincident axes, which are suddenly made coincident, has been studied. An analytical solution describing the flow at large and small times after the start is obtained by the use of Laplace transform technique. The physical interpretations for the emerging parameters are discussed with the help of graphs. The shear stresses obtained from the general solution and from the solution for small time are compared.

Keywords

HydromagneticRotation parameterMagnetic parameterEccentric rotation and angular velocity

Information

Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 1 , March 2013 , pp. 169 - 176
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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.)

Article purchase

Temporarily unavailable

References

REFERENCES

1. Maxwell, B. and Chartoff, R. P., “Studies of a Polymer Melt in an Orthogonal Rheometer,” Transaction Society of Rheology, 9, pp. 41–52 (1965).Google Scholar
2. Sarpkaya, T., “Flow of Non-Newtonian Fluids in a Magnetic Field,” AIChE Journal, 7, pp. 324–328 (1961).CrossRefGoogle Scholar
3. Ramamurty, G. and Shanker, B., “Magnetohydro-dynamic Effect on Blood Flow Through a Porous Channel,” Medical and Biological Engineering and Computing, 32, pp. 655–659 (1994).Google Scholar
4. Berker, R., Handbook of Fluid Dynamics, VIII/3, p. 87, Springer, Berlin (1963).Google Scholar
5. Mohanty, H. K., “Hydromagnetic Flow Between Two Rotating Disks with Non-Councident Parallel Axes of Rotation,” Physics of Fluids, 15, pp. 1456–1458 (1972).Google Scholar
6. Erdogan, M. E., “Unsteady Viscous Flow Between Eccentric Disks,” International Journal of Non-Linear Mechanics, 30, pp. 711–717 (1995).Google Scholar
7. Erdogan, M. E., “Unsteady Hydrodyamic Viscous Flow Between Eccentric Rotating Disks,” Journal of Applied Mechanics, ASME Transaction Journals, American Society of Mechanical Engineers, 43, pp. 203–204 (1976).Google Scholar
8. Ersoy, H. V., “Unsteady Flow Due to Concentric Rotation of Ecentric Rotating Disks,” Meceanica, 38, pp. 325–334 (2003).Google Scholar
9. Rao, A. R. and Rao, P. R., “MHD Flow Between Eccentric Rotating Disks for a Second Grade Fluid,” International Journal of Engineering Science, 23, p. 1387 (1985).Google Scholar
10. Ersoy, H. V., “MHD Flow of an Oldroyd-B Fluid Between Eccentric Rotating Disks,” International Journal of Engineering Science, 37, pp. 1973–1984 (1999).Google Scholar
11. Rao, A. R. and Kasiviswanathan, S. R., “A Class of Exact Solutions for the Flow of a Micropolar Fluid,” International Journal of Engineering Science, 25, pp. 443–453 (1987).Google Scholar
12. Knight, D. G., “Flow Between Eccentric Disks Rotating at Different Speeds: Inertia Effects,” Journal of Applied Mathematical Physics, 31, pp. 309–317 (1980).Google Scholar
13. Kanch, A. K. and Jana, R. N., “Hall Effects on Hydromagnetic Flow Between Two Disks with Non-Coincident Parallel Axes of Rotation,” Revue Roumaine des Sciences Techniques-Série de Mécanique Appliquée, 37, pp. 379–385 (1992).Google Scholar
14. Ersoy, H. V., “Unsteady Flow Due to Concentric Rotation of Eccentric Rotating Disks,” Meccanica, 38, pp. 325–334 (2003).Google Scholar
15. Guria, M., Jana, R. N. and Ghosh, S. K., “Unsteady MHD Flow Between Two Disks with Non-Coincident Parallel Axes of Rotation,” International Journal of Fluid Mechanics Research, 34, pp. 425–433 (2007).Google Scholar
16. Maji, S. L., Ghara, N., Jana, R. N. and Das, S., “Unsteady MHD Flow Between Two Eccentric Rotating Disks,” Journal of Physics Science, 13, pp. 87–96 (2009).Google Scholar
17. Guria, M., Das, B. K., Jana, R. N. and Ghosh, S. K., “Magnetohydrodynamic Flow with Reference to Non-Coaxial Rotation of a Porous Disk and a Fluid at Infinity,” International Journal of Fluid Dynamics, 7, pp. 25–34 (2011).Google Scholar
18. Das, S., Maji, S. L., Guria, M. and Jana, R. N., “Hall Effects on Unsteady Mhd Flow Between Two Disks with Non-Coincident Parallel Axes of Rotation,” International Journal of Applied Mechanics and Engineering, 15, pp. 5–18 (2010).Google Scholar
19. Jana, R. N., Jana, M., Das, S., Maji, S. L. and Ghosh, S. K., “Hydrodynamic Flow Between Two Non-Coincident Rotating Disks Embedded in Porous Media,” World Journal of Mechanics, 1, pp. 50–56 (2011).Google Scholar
20. Asghar, S., Mohyuddin, M. R. and Hayat, T., “Effects of Hall Current and Heat Transfer on Flow Due to a Pull of Eccentric Rotating Disks,” International Journal of Heat and Mass Transfer, 48, pp. 599–607 (2005).Google Scholar
21. Siddiqui, A. M., Rana, M. A. and Ahmed, N., “Effects of Hall Current and Heat Transfer on MHD Flow of a Burgers' Fluid Due to a Pull of Eccentric Rotating Disks,” Communications in Nonlinear Science and Numerical Simulation, 13, pp. 1554–1570 (2008).Google Scholar
22. Hayat, T., Maqbool, K. and Khan, M., “Hall and Heat Transfer Effects on the Steady Flow of a Generalized Burgers' Fluid Induced by a Sudden Pull of Eccentric Rotating Disks,” Nonlinear Dynamics, 51, pp. 267–276 (2008).CrossRefGoogle Scholar