The effects on the flow field of retaining the Joule heating and viscous dissipation term in the energy equation for the hydromagnetic free-convective oscillatory flow past a porous limiting surface. I

Details The effects on the flow field of retaining the Joule heating and viscous dissipation term in the energy equation for the hydromagnetic free-convective oscillatory flow past a porous limiting surface. I The effects on the flow field of retaining the Joule heating and viscous dissipation term in the energy equation for the hydromagnetic free-convective oscillatory flow past a porous limiting surface. I

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss..98..287n&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 98, no. 2, Jan. 1984, p. 287-298.

Astronomy and Astrophysics

Astrophysics

1

Convective Flow, Energy Dissipation, Free Convection, Magnetohydrodynamic Flow, Ohmic Dissipation, Oscillating Flow, Porous Materials, Air Flow, Current Density, Flow Distribution, Magnetic Fields, Nonlinear Equations, Skin Friction, Steady Flow, Temperature Profiles

Scientific paper

The free-stream velocity, the plate temperature, and the induced magnetic field are assumed to be oscillating in time about constant mean values. The flow is subjected to a constant suction velocity through the porous surface, and a magnetic field of uniform strength is applied in a direction that is transverse to that of the flow. Analytical expressions for the flow field are obtained by solving the coupled nonlinear system of equations describing the flow. The influence of the various parameters bearing on the problem is discussed, and the importance of retaining the Joule heating and viscous dissipation term in the energy equation is demonstrated. Attention is then given to the unsteady part of the flow field. A solution for this part is obtained, and expressions are given for the transient velocity, induced magnetic field, and transient temperature profiles. Also given are expressions for the skin-friction (steady + unsteady), rate of heat transfer, and electric current density. The influence of the Eckert number, which represents the contribution of heat in the boundary layer arising from viscous dissipation and Joule heat, is treated in detail.

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