Open Access Open Access  Restricted Access Subscription Access

Hydromagnetic Oscillatory Flow and Heat Transfer of a Viscous Liquid Past a Vertical Porous Plate in a Rotating Medium


Affiliations
1 Dept. of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Khandagiri Square, Bhubaneswar-751030, Orissa, India
 

Unsteady oscillatory flow of an incompressible, electrically conducting viscous liquid through a porous medium past an infinite vertical porous plate with constant suction has been studied. A transverse uniform magnetic field has been applied in a rotating frame of reference. The porous medium is bounded by a vertical plane surface. The temperature on the vertical surface fluctuates in time about a non-zero constant mean. The analytical expressions for the velocity, temperature, skin friction and Nusselt number are presented showing the effects of pertinent parameters. It is observed that steady part of the velocity field has two layers character viz thermal layer and suction layer, while the oscillatory part exhibits a multilayer character.

Keywords

Hydromagnetic, Oscillatory, Heat Transfer, Porous, Rotating System
User

  • Acharya M, Dash GC and Singh LP (2000) Magnetic field effects on the free convection and mass transfer flow through porous medium with constant suction and constant heat flux. Ind. J. Pure Appl. Math. 31(1), 1- 18.
  • Cheng CY (2006) Free convection heat and mass transfer from a horizontal cylinder of elliptic cross section in micropolar fluid. Int. Comm. Heat Mass Transfer. 33, 311-318.
  • Das SS, Panda JP and Dash GC (2004) Free convection flow and mass transfer of an elasticoviscous fluid past an infinite vertical porous plate in a rotating porous medium. AMSE. Mod. Meas. Cont. B. 73(1), 37-52.
  • Dash GC and Rath PK (2000) Flow of unsteady viscoelastic electrically conducting fluid between two porous concentric circular cylinders. AMSE. Mod. Meas. Cont. B. 69(4), 49-58.
  • Israel-Cookey C and Sigalo FB (2003) Unsteady MHD free-convection and mass transfer flow past an infinite heated porous vertical plate with time dependant suction. AMSE. Mod. Meas. Cont. B. 72(3), 25-38.
  • Jha BK (1998) Effects of applied magnetic field on transient free convective flow in a vertical channel. Ind. J. Pure Appl. Math. 29(4), 441-445.
  • Kurtcebe C and Erim MZ (2005) Heat transfer of a visco-elastic fluid in a porous channel. Int. J. Heat Mass Transfer. 48, 5072-5077.
  • Ogulu A, Amo E, Mishra DP and Desai T (2005) Numerical study of mixed convection heat transfer from thermal sources on a vertical surface, AMSE. Mod. Meas. Cont. B. 74(1), 31–44.
  • Panda JP, Das SS and Dash GC (2004) Unsteady free convection MHD flow and mass transfer in a rotating porous medium. Appl. Sc. Periodical. Ind. 6(3), 165-178.
  • Panda JP, Pattnaik AB and Acharya A (2006) Free convection of conducting viscous fluid between two vertical walls filled with porous material. AMSE. Mod. Meas. Cont. B. 75(3), 31-44.
  • Sengupta PR and Basak P (2002) Unsteady flow of visco-elastic maxwell fluid through porous straight tube under uniform magnetic field. Ind. J. Th. Phys. 50(3), 203-212.
  • Sharma PR and Pareek D (2006) Unsteady flow and heat transfer through an elastico-viscous liquid along an infinite hot vertical porous moving plate with variable free stream and suction. Bull. Cal. Math. Soc. 98(2), 97-108.
  • Singh AK, Paul T and Thorpa GR (2000) Natural convection in a non-rectangular porous cavity. Engg. Res. J. 65, 301-308.
  • Singh NP, Gupta SK and Singh AK (2001) Free convection in MHD flow of a rotating viscous liquid in porous medium past a vertical porous plate. Proc. Nat. Acad. Sci. Ind. 71(A), II, 149-157.
  • Singh Atul K, Singh Ajay and Singh NP (2003) Heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity. Ind. J. Pure Appl. Math. 34(3), 429-442.

Abstract Views: 425

PDF Views: 90




  • Hydromagnetic Oscillatory Flow and Heat Transfer of a Viscous Liquid Past a Vertical Porous Plate in a Rotating Medium

Abstract Views: 425  |  PDF Views: 90

Authors

S. N. Sahoo
Dept. of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Khandagiri Square, Bhubaneswar-751030, Orissa, India
J. P. Panda
Dept. of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Khandagiri Square, Bhubaneswar-751030, Orissa, India
G. C. Dash
Dept. of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Khandagiri Square, Bhubaneswar-751030, Orissa, India

Abstract


Unsteady oscillatory flow of an incompressible, electrically conducting viscous liquid through a porous medium past an infinite vertical porous plate with constant suction has been studied. A transverse uniform magnetic field has been applied in a rotating frame of reference. The porous medium is bounded by a vertical plane surface. The temperature on the vertical surface fluctuates in time about a non-zero constant mean. The analytical expressions for the velocity, temperature, skin friction and Nusselt number are presented showing the effects of pertinent parameters. It is observed that steady part of the velocity field has two layers character viz thermal layer and suction layer, while the oscillatory part exhibits a multilayer character.

Keywords


Hydromagnetic, Oscillatory, Heat Transfer, Porous, Rotating System

References





DOI: https://doi.org/10.17485/ijst%2F2010%2Fv3i7%2F29821