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Free convection effects on the oscillatory flow past a vertical porous plate in the presence of radiation for an optically thin fluid

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Abstract

The purpose of this work is to study the effect of transverse sinusoidal suction velocity on the flow and mass transfer on free convective oscillatory viscous and optically thin grey fluid over a porous vertical plate in the presence of radiation. The flow becomes three-dimensional due to the variation of suction velocity in the transverse direction. Analytical expressions for velocity and temperature fields are obtained using the perturbation technique. The governing equations has been transformed to ordinary differential equations. Numerical solutions are obtained for different values of radiation parameter, Grashof number and Schmidt number. It is found that non-dimensional velocity decreases with increase of radiation parameter, increases with increase of Grashof number, decreases with increase of Schmidt number and non-dimensional temperature decreases with the increase of radiation parameter.

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References

  1. I. A. Badraddin, Free convection and radiation for a vertical wall with varying temperature embedded in a porous medium, Int. J. Thermal Sciences, 45(5) (2006), 487–493.

    Article  Google Scholar 

  2. A. R. Bestman and S. K. Adiepong, Unsteady hydromagnatic free convection flow with radiative heat transfer in a rotating fluid, Astrophysics and space science, 143(1) (1988), 73–80.

    Article  Google Scholar 

  3. A. J. Chamkha, Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of a heat source or sink, Heat and Mass Transfer, 39(4) (2003), 305–312.

    Google Scholar 

  4. H. M. Duwairi, Viscous and Joule heating effects on forced convection flow from radiate isothermal porous surfaces, Int. J. Numerical Methods for Heat and Fluid Flow, 15(5–6) (2005), 429–440.

    Article  Google Scholar 

  5. W. G. England and A. F. Emerry, Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas, Heat Transfer, 91(1) (1969), 37–44.

    Article  Google Scholar 

  6. M. A. Hossain, K. Khanafer and K. Vafai, The effect of radiation on free convection flow of fluid with variable viscosity from a porous vertical plate, Int. J. Thermal Sciences, 40(2) (2001), 115–124.

    Article  Google Scholar 

  7. M. A. Hossain, M. A. Alim and D. A. S. Rees, The effect of radiation on free convection from a porous vertical plate, Int. J. Heat and Mass Transfer, 42(1) (1999), 181–191.

    Article  MATH  Google Scholar 

  8. K. Manivannan, R. Muthucumaraswamy and V. Thangaraj, Radiation and chemical reaction effects on isothermal vertical oscillating plate with variable mass diffusion, Thermal Science, 13(2) (2009), 155–162.

    Article  Google Scholar 

  9. S. Mukhopadhyay and G. C. Layek, Radiation effect on forced convective flow and heat transfer over a porous plate in a porous medium, Meccaanica, 44(5) (2009), 587–597.

    Article  MATH  MathSciNet  Google Scholar 

  10. A. Raptis and C. J. Toki, Thermal radiation in the presence of free convective flow past a moving vertical porous plate — An analytical solution, Int. J. Appl. Mechanics and Engineering, 14(4) (2009), 1115–1126.

    Google Scholar 

  11. A. Raptis, Radiation and free convection flow through a porous medium, Int. Comm. Heat Mass Transfer, 25(2) (1998), 289–295.

    Article  MathSciNet  Google Scholar 

  12. A. Raptis, C. Perdikis and A. Leontitsis, Effects of radiation in an optically thin gray gas flowing past a vertical infinite plate in the presence of a magnatic field, Heat and Mass Transfer, 39(8–9) (2003), 771–773.

    Article  Google Scholar 

  13. A. Raptis and C. Perdikis, Thermal radiation of an optically thin gray gas, Int. J. Appl. Mechanics and Engineering, 8(1) (2003), 131–134.

    MATH  Google Scholar 

  14. A. Raptis, Free convective oscillatory flow and mass transfer past a porous plate in the presence of radiation for an optically thin fluid, Thermal Science, 15(3) (2011), 849–857.

    Article  MathSciNet  Google Scholar 

  15. M. A. Seddeek and M. S. Abdelmeguid, Effects of radiation and thermal diffusivity on heat transfer over a stretching surface with variable heat flux, Phy. Letters A, 348(3–6) (2006), 172–179.

    Article  Google Scholar 

  16. A. R. Vijayalakshmi, Radiation effects on free-convection flow past an impulsively started vertical plate in a rotating fluid, Theoret. Appl. Mech., 37(2) (2010), 79–95.

    Article  MathSciNet  Google Scholar 

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Correspondence to Suresh Rana.

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Rana, S. Free convection effects on the oscillatory flow past a vertical porous plate in the presence of radiation for an optically thin fluid. Indian J Pure Appl Math 44, 757–770 (2013). https://doi.org/10.1007/s13226-013-0041-8

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  • DOI: https://doi.org/10.1007/s13226-013-0041-8

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