Research Article

Numerical Solution of Unsteady Hydromagnetic Couette Flow in a Rotating System Bounded by Porous Plates with Hall Effects

by  Muhim Chutia, Tabendra Nath Das, Pranob Jyoti Chetia
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 171 - Issue 2
Published: Aug 2017
Authors: Muhim Chutia, Tabendra Nath Das, Pranob Jyoti Chetia
10.5120/ijca2017914967
PDF

Muhim Chutia, Tabendra Nath Das, Pranob Jyoti Chetia . Numerical Solution of Unsteady Hydromagnetic Couette Flow in a Rotating System Bounded by Porous Plates with Hall Effects. International Journal of Computer Applications. 171, 2 (Aug 2017), 1-6. DOI=10.5120/ijca2017914967 

                        @article{ 10.5120/ijca2017914967,
                        author  = { Muhim Chutia,Tabendra Nath Das,Pranob Jyoti Chetia },
                        title   = { Numerical Solution of Unsteady Hydromagnetic Couette Flow in a Rotating System Bounded by Porous Plates with Hall Effects },
                        journal = { International Journal of Computer Applications },
                        year    = { 2017 },
                        volume  = { 171 },
                        number  = { 2 },
                        pages   = { 1-6 },
                        doi     = { 10.5120/ijca2017914967 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2017
                        %A Muhim Chutia
                        %A Tabendra Nath Das
                        %A Pranob Jyoti Chetia
                        %T Numerical Solution of Unsteady Hydromagnetic Couette Flow in a Rotating System Bounded by Porous Plates with Hall Effects%T 
                        %J International Journal of Computer Applications
                        %V 171
                        %N 2
                        %P 1-6
                        %R 10.5120/ijca2017914967
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

Unsteady hydromagnetic Couette flow of a viscous, incompressible and electrically conducting fluid in a rotating system between two infinitely long parallel porous plates, taking Hall current into account, in the presence of a transverse magnetic field is studied numerically. Fluid flow within the channel is induced due to impulsive movement of the lower plate of the channel and fluid motion is subjected to a uniform suction and injection at upper and lower plates. Magnetic lines of force are assumed to be fixed relative to the fluid. Numerical solutions for primary and secondary velocities are obtained from the governing momentum equation by employing explicit finite difference method. The effects of various non-dimensional parameters: Hall current parameter

References
  • Katagiri, M. 1962. Flow formation in Couette motion in magnetohydrodynamics. Journal of Physical Society of Japan 17, 393-396.
  • Seth, G. S., Jana, R. N. and Maiti, M. K. 1982. Unsteady hydromagnetic Couette flow in a rotating system. Int. J. Engng. Sci. 20, 989-999.
  • Seth, G. S., Nandkeolyar, R., Mahto, N. and Singh, S. K. 2009. MHD Couette flow in a rotating system in the presence of inclined magnetic field. Appl Math. Sci. 3, 2919-2932.
  • Seth, G. S., Ansari, Md. S and Nandkeolyar, R. 2010. Unsteady hydromagnetic Couette flow within porous plates in a rotating system. Adv. Appl. Math. Mech. 2, 286-302.
  • Seth, G. S., Ansari, Md. S. and Nandkeolyar, R. 2011. Effects of rotation and magnetic field on unsteady Couette flow in a porous channel. Journal of Applied Fluid Mechanics 4(2), 95-103.
  • Chandran, P., Sacheti, N. C. and Singh, A. K. 1993. Effect of rotation on unsteady hydromagnetic Couette flow. Astrophys. Space Sci. 202, 1-10.
  • Hayat, T., Nadeem, S. and Asghar, S. 2004. Hydromagnetic Couette flow of an Oldroyd-B fluid in a rotating system. Int. J. Engng. Sci. 42, 65-78.
  • Das, S., Maji, S. L., Guria, M. and Jana, R. N. 2009. Unsteady MHD Couette flow in a rotating system. Math. Comp. Modelling 50, 1211-1217.
  • Jana, M., Das, S. and Jana, R. N. 2012. Unsteady Couette Flow through a Porous Medium in a Rotating System. Open Journal of Fluid Dynamics 2, 149-158.
  • Guria, M., Jana, R. N. and S.K. Ghosh, S. K. 2006. Unsteady Couette flow in a rotating system. International journal of Non-Linear Mechanics 41, 838-843.
  • Das, B .K., Guria, M. and Jana, R. N. 2008. Unsteady Couette flow in a rotating system. Mechanics 43, 517-521.
  • Cowling, T. G. 1957. Magnetohydrodynamics. p. 101. Interscience, New York.
  • Jana, R. N. and Datta, N. 1980. Hall effects on MHD Couette flow in a rotating system. Czech. J. Phys. B 30, 659-667.
  • Mandal, G., Mandal , K. K. and Choudhury, G. 1982. On combined effects of Coriolis force and Hall current on steady MHD Couette flow and heat transfer. J. Phys. Soc. Japan 51, 2010-2015.
  • Ghosh, S. K. and Pop, I. 2004. Hall effects on MHD plasma Couette flow in a rotating environment. Int. J. Appl. Mech. Engng. 9, 293–305.
  • Hayat, T., Wang, Y. and Hutter, K. 2004. Hall effects on the unsteady hydromagnetic oscillatory flow of a second-grade fluid. Int. J. Non-linear Mech. 39, 1027-1037.
  • Guchhait, S., Das, S., Jana, R. N. and Ghosh, S. K. 2011. Combined Effects of Hall Current and Rotation on Unsteady Couette Flow in a Porous Channel, World Journal of Mechanics 1, 87-99.
  • Ghosh, S.K. 2002. Effects of Hall Current on MHD Couette Flow in a Rotating System with Arbitrary Magnetic Field. Czechoslovak Journal of Physics, 52(1). 51-63.
  • Reddy, N. B. and Bathaiah, D. 1982. Hall Effects on MHD Couette Flow through a Porous Straight Channel. Defense Science Journal 32, 313-326.
  • Das, S., Sarkar, B. C. and Jana, R. N. 2011. Hall Effects on MHD Couette Flow in Rotating System. International Journal of Computer Applications 3, 22-30.
  • Chauhan, D. S. and Agrawal, R. 2012. Effects of Hall current on MHD Couette flow in a channel partially filled with a porous medium in a rotating system. Meccanica 47, 405-421.
  • Seth, G.S., Nandkeolyar, R. and Ansari, Md. S. 2009. Hall effects on oscillatory hydromagnetic Couette flow in a rotating system. Int. J. Acad.Res. 1, 6-17.
  • Seth, G. S., Singh, J. K. and Mahato, G. K. 2012. Effects of Hall current and rotation on unsteady hydromagnetic Couette flow within a porous channel. International Journal of Applied Mechanics 4, 1250015(25 pages).
  • Harisingh Naik, S., Ramana Murthy, M. V. and Rama Rao, K. 2014. The effect of Hall current on an unsteady MHD free convective Couette flow between two permeable plates in the presence of thermal radiation. International Journal of Computational Engineering Research 4(7), 2250-3005.
  • Hossain, M. A. 1986. Effect of Hall current on unsteady hydromagnetic free convection flow near an infinite vertical porous plate. Journal of the Physical Society of Japan 55, 2183- 2190.
  • Muhuri, P. K. 1963. Flow formation in Couette motion in Magnetohydrodynamics with suction. J. Phys. Soc. Jpn. 18, 1671- 1675.
  • Meyer, R. C. 1958. On reducing aerodynamic heat transfer rates by magnetohydrodynamic techniques. J. Aero. Sci. 25, 561-572.
  • Mathews, J. H. and Fink, K. D. 2009. Numerical Method using Matlab. PHI Learning Private Limited, New Delhi.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

MHD Couette flow uniform suction/injection Hall effects rotating system finite difference method.

Powered by PhDFocusTM