Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Two Phase Flow of an Incompressible Viscous Fluid between Two Semi-Infinite Parallel Plates under Transverse Magnetic Field


Affiliations
1 Research Centre of Mathematics, Kakatiya Institute of Technology & Science, Warangal, Andhra Pradesh, India
     

   Subscribe/Renew Journal


The flow of incompressible viscous liquid is examined between two semi-infinite parallel plates. The space between the parallel plates is filled partially with porous medium. The flow will be two phase flow one in clear region and an other in porous region. Brinkman equation is applied to study flow in the porous region and Navier stokes equation is applied to study the flow in the clear region. Transverse magnetic field is applied in the both regions perpendicular to the length of the plates. Special cases are deduced. The results are graphically represented.

Keywords

Porous Medium, Two Phase Flow, Magnetic Field, Permeability Parameter
Subscription Login to verify subscription
User
Notifications
Font Size


  • Musakat, M. 1937. Flow of homogeneous fluid through porous medium, Mc Graw Hill Inc., New York, 1937.
  • Beavers S.G. and Joseph D.D. 1967. Boundary conditions at natural permeable wall, Int. J. of Fluid Mechanics, 30: 197-207.
  • Saffman P.G. 1971. On the boundary conditions at the surface of porous medium. Studies of Applied Maths, 50: 93-101.
  • Brinkman H.C. 1947. The calculation of viscous force exerted by a flowing fluid on a dense swerf of particles. Jl. of Applied Science Research 27,A1: 27-34.
  • Lightfoot, E.N. 1974. Transport phenomena in living system, John-Wiley and Sons, New York, 1974.
  • Shukla, J.B., Parihar, R.S. and Gupta, S.P., 1980. Effects of peripheral layer viscosity on blood flow through the artery with mild stenosis, Bulletin of Mathematical Biology, 42: 797-805.
  • Chaturani, P. and Ponnalagar Samay R. 1985. A study of non-Newtonian aspects of blood flow through stenosed arteries and it’s applications in arterial diseases. J. Biology, 22: 521.
  • Bird, R.B., Stewart, W.E. and Lightfoot, E.N. 1960. Transport phenomena. John wiley and sons, Inc, New York.
  • Bhattacharya, 1968. The flow of immiscible fluids between rigid plates with a time dependent pressure gradient.
  • Vairavelu, K., Sreenadh, S. and Arunachalam, P.V. 1995. J. Math. Analysis and Aplications, 196: 1105.
  • Anwar Beg, O. Takhar, H.S., Joaquin Zueco Sajid, A. Bhargava, R. 2008. Transient couette flow in a rotating non-Darcian porous medium parallel plate configuration. Acta Mechanica, 200: 129.
  • Kadryzakaria, Magdy A. Sirwah and Ahmed Assaf. 2008. Magnetohydrodynamics instability of interfacial waves between two immiscible incompressible cylindrical fluids. Acta mechanica sinica. 24: 497.
  • Narasimhacharyulu, V. 2007. Flow of a Newtonian fluid between two parallel plates with porous lining. Bulletin of pure and Applied Sciences. Vol. 26E(no. 1), 101-111.
  • Narasimha Charyulu, V. 2010. Laminar flow of an incompressible micropolar fluid between two parallel plates with porous lining. Int. J. of Appl. Math. And Mech. 6(14), 81-92.
  • Sparrow, E.M and Cess, R.D., Trans. J. Appl. Mech. 29 (1962) 181.

Abstract Views: 582

PDF Views: 0




  • Two Phase Flow of an Incompressible Viscous Fluid between Two Semi-Infinite Parallel Plates under Transverse Magnetic Field

Abstract Views: 582  |  PDF Views: 0

Authors

V. Narasimha Charyulu
Research Centre of Mathematics, Kakatiya Institute of Technology & Science, Warangal, Andhra Pradesh, India
K. Shiva Shanker
Research Centre of Mathematics, Kakatiya Institute of Technology & Science, Warangal, Andhra Pradesh, India

Abstract


The flow of incompressible viscous liquid is examined between two semi-infinite parallel plates. The space between the parallel plates is filled partially with porous medium. The flow will be two phase flow one in clear region and an other in porous region. Brinkman equation is applied to study flow in the porous region and Navier stokes equation is applied to study the flow in the clear region. Transverse magnetic field is applied in the both regions perpendicular to the length of the plates. Special cases are deduced. The results are graphically represented.

Keywords


Porous Medium, Two Phase Flow, Magnetic Field, Permeability Parameter

References