Call for Paper - March 2023 Edition
IJCA solicits original research papers for the March 2023 Edition. Last date of manuscript submission is February 20, 2023. Read More

Hall Effects on Unsteady Hydromagnetic Flow Induced by a Porous Plate

Print
PDF
International Journal of Computer Applications
© 2012 by IJCA Journal
Volume 57 - Number 18
Year of Publication: 2012
Authors:
S. Das
S. L. Maji
R. N. Jana
10.5120/9217-3768

S Das, S L Maji and R N Jana. Article: Hall Effects on Unsteady Hydromagnetic Flow Induced by a Porous Plate. International Journal of Computer Applications 57(18):37-44, November 2012. Full text available. BibTeX

@article{key:article,
	author = {S. Das and S. L. Maji and R. N. Jana},
	title = {Article: Hall Effects on Unsteady Hydromagnetic Flow Induced by a Porous Plate},
	journal = {International Journal of Computer Applications},
	year = {2012},
	volume = {57},
	number = {18},
	pages = {37-44},
	month = {November},
	note = {Full text available}
}

Abstract

Hall effects on the unsteady hydromagnetic flow of a viscous incompressible electrically conducting fluid bounded by an infinite flat porous plate in the presence of a uniform transverse magnetic field has been analyzed. Initially ( ) the fluid at infinity moves with uniform velocity . At time , the plate suddenly moves with uniform velocity in the direction of the flow. The velocity field and the shear stress components at the plate are found exactly by using the Laplace transform technique. The solutions are also obtained for small as well as large times. It is observed that the primary velocity decreases whereas the secondary velocity increases with an increase in Hall parameter. The suction parameter is found to accelerate the primary velocity and it has a retarding influence on the secondary velocity. It is also found that the shear stress components decrease with an increase in time.

References

  • Katagiri, M. (1969). Effects of Hall current on the boundary layer flow past a semi-infinite flat plate, J. Phys. Soc. Japan, 27: 1051.
  • Pop, I. and Soundalgekar, V. M. (1974). Effects of Hall currents on hydromagnetic flow near a porous plate, Acta Mechanica, 20: 316-318.
  • Gupta, A. S. (1975). Hydromagnetic flow past a porous flat plate with hall effects, Acta Mechanica, 22:261-267.
  • Debnath, L. , Ray, S. C. and Chatterjee, A. K. (1979). Effects of Hall current on unsteady hydromagnetic flow past a porous plate in a rotating fluid system, Z. Angew. Math. Mech. , 59: 469- 471.
  • Hossain, M. A. (1986). Effect of Hall current on unsteady hydromagnetic free convection flow near an infinite vertical porous plate, J. Phys. Soc. Japan, 55 (7): 2183-2190.
  • Hossain, M. A. and Mohammad, K. (1988). Effect of Hall current on hydromagnetic free convection flow near an sccelerated porous plate, Jpn. J. Appl. Phys. , 27 (8) :1531- 1535.
  • Maji, S. L. , Kanch, A. K. , Guria, M. and Jana, R. N. (2009). Hall effects on hydromagnetic flow on an oscillating porous plate, Appl. Meath. Mech. , 30(4): 503-512.
  • Cowling, T. G. , Magnetohydrodynamics, Inter-Science Publishers, Inc. , New York, 1957, pp. 101.
  • Carslaw, H. S. and Jaeger, J. C. , Conduction of Heat in Solids, Oxford Univ. PRess, Oxford, 1959, pp. 297-311.