Czechoslovak Journal of Physics

, Volume 46, Issue 9, pp 825–838 | Cite as

Heat transfer in unsteady MHD oscillatory flow

  • S. P. Anjali Devi
  • S. Jothimani
Papers

Abstract

Heat transfer in unsteady MHD channel flow (of an incompressible viscous and electrically conducting fluid) under oscillatory pressure gradient when the channel surfaces are conducting and moving with time-dependent velocities has been analysed. The velocity, magnetic field and temperature distributions have been obtained and their numerical results are shown graphically.

Keywords

Magnetic Field Heat Transfer Temperature Distribution Pressure Gradient Channel Flow 

Symbols

u

velocity

Ho

applied magnetic field

Hx

induced magnetic field

T

temperature

T1*,T2*

temperatures of the upper and lower planes

ρ

density

p

pressure

ν

kinematic viscosity

η

magnetic diffusivity

σ

electrical conductivity of the fluid

A*

characteristic velocity

L

characteristic length

μe

magnetic permeability of the fluid

Cp

specific heat

μ

coefficient of viscosity

k

thermal conductivity

μ1,μ2

permeabilities of the planes

σ1,σ2

conductivities of the planes

Φ1,Φ2

conductance ratios of the planes

Pr

Prandtl number (=νρC p /k)

E

Eckert number\(\left( { = \mu _e H_0 L\sqrt {{\sigma \mathord{\left/ {\vphantom {\sigma \mu }} \right. \kern-\nulldelimiterspace} \mu }} } \right)\)

M

Hartmann number (=μ e H o L√σ/μ)

Re

Reynolds number (=LA*/ν)

Rm

magnetic Reynolds number (=μ e σLA*)

S

Pr.E(=S)

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References

  1. [1]
    Soundalgekar V.M.: Proc. Nat. Inst. Sci. A35 (1969) 492.Google Scholar
  2. [2]
    Bhat J.P.: Ind. J. Pure Appl. Math.14 (1983) 60.Google Scholar
  3. [3]
    Sanyal D.C. and Sanyal M.K.: Rev. Roum. Sci. Techn.33 (1988) 559.Google Scholar

Copyright information

© Institute of Physics, Acad. Sci. CR 1996

Authors and Affiliations

  • S. P. Anjali Devi
    • 1
  • S. Jothimani
    • 1
  1. 1.Department of MathematicsBharathiar University, CoimbatoreTamil NaduIndia

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