Theoretical and Applied Mechanics (Jan 2007)

Mass transfer effects on vertical oscillating plate with heat flux

  • Muthucumaraswamy R.,
  • Manivannan K.

DOI
https://doi.org/10.2298/TAM0704309M
Journal volume & issue
Vol. 34, no. 4
pp. 309 – 322

Abstract

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Theoretical solution of unsteady viscous incompressible flow past an infinite vertical oscillating plate with uniform heat flux and mass diffusion is presented here, taking into account of the homogeneous chemical reaction of first-order. The temperature from the plate to the fluid at an uniform rate and the mass is diffused uniformly. The dimensionless governing equations has been obtained by the Laplace transform method, when the plate is oscillating harmonically in its own plane. The effects of velocity and concentration are studied for different parameters like phase angle chemical reaction parameter, thermal Grashof number, mass Grashof number Schmidt number and time are studied. The so­lutions are valid only for small values of time t. It is observed that the velocity increases with decreasing phase angle ωt or chemical reaction parameter.

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