Skip to main content
SpringerLink
Log in

Free convective flow through porous medium with variable permeability in slip flow regime with couple stress in the presence of heat source

  • Published:
Journal of Engineering Thermophysics Aims and scope

Abstract

The unsteady free convective MHDflow of a polar fluid through a porous medium with variable permeability in the presence of heat source bounded by an infinite horizontal porous plate in slip flow regime is analyzed. The transformed nondimensional equations are solved by a perturbation method. The obtained results are presented graphically to illustrate the influence of different physical parameters on the velocity profile, angular velocity profile, temperature profile, and concentration profile. Further the effect of variable permeability parameter on the velocity profile is investigated. Some special cases with their physical significance are discussed and compared with the existing published work.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Muthucumaraswamy, A., Effect of a Chemical Reaction on a Moving Isothermal Vertical Surface with Suction, Acta Mech., 2002, vol. 155, nos. 1/2, pp. 65–70.

    Article  MATH  Google Scholar 

  2. Ghaly, A.Y. and Seddeek, A., Chebyshev Finite Difference Method for the Effects of Chemical Reaction, Heat and Mass Transfer on Laminar Flow along a Semi-Infinite Horizontal Plate with Temperature-Dependent Viscosity, Chaos, Solitons Fractals, 2004, vol. 19, no. 1, pp. 61–70.

    ADS  MATH  Google Scholar 

  3. Kandasamy, R., Periasamy, K., and Prabhu, K.S., Effect of Chemical Reaction, Heat and Mass Transfer along a Wedge with Heat Source and Concentration in the Presence of Suction or Injection, Int. J. Heat Mass Transfer, 2005, vol. 48, no. 7, pp. 1388–1394.

    MATH  Google Scholar 

  4. Mohamed, R.A., Abbas, I.A., and Abo-Dahab, S.M., Finite Element Analysis of Hydromagnetic Flow and Heat Transfer of a Heat Generation Fluid over a Surface Embedded in a Non-Darcian PorousMedium in the Presence of Chemical Reaction, Commun. Nonlin. Sci. Num. Simul., 2009, vol. 14, no. 4, pp. 1385–1395.

    Article  MATH  Google Scholar 

  5. Mohamed, R.A. and Abo-Dahab, S.M., Influence of Chemical Reaction and Thermal Radiation on the Heat and Mass Transfer in MHD Micropolar Flow over a VerticalMoving Porous Plate in a PorousMedium with Heat Generation, Int. J. Therm. Sci., 2009, vol. 48, pp. 1800–1813.

    Article  Google Scholar 

  6. Das, K., Effect of Chemical Reaction and Thermal Radiation on Heat and Mass Transfer Flow of MHD Micropolar Fluid in a Rotating Frame of Reference, Int. J. Heat Mass Transfer, 2011, vol. 54, pp. 3505–3513.

    Article  MATH  Google Scholar 

  7. Bagai, S., Effect of Variable Viscosity on Free Convection over a Non-isothermal Axisymmetric Body in a Porous Medium with Internal Heat Generation, Acta Mech., 2004, vol. 169, nos. 1–4, pp. 187–194.

    Article  MATH  Google Scholar 

  8. Molla, M.M., Hossain, M.A., and Yao, L.S., Natural Convection Flow along a Vertical Wavy Surface with Uniform Surface Temperature in Presence of Heat Generation/Absorption, Int. J. Therm. Sci., 2004, vol. 43, no. 2, pp. 157–163.

    Article  Google Scholar 

  9. Hady, F.M., Mohamed, A., and Mahdy, A., MHD Free Convection Flow along a Vertical Wavy Surface with Heat Generation or Absorption Effect, Int. Comm. Heat Mass Transfer, 2006, vol. 33, no. 10, pp. 1253–1263.

    Article  Google Scholar 

  10. Chamkha, A.J., Al-Mudhaf, A.F., and Pop, I., Effect of Heat Generation or Absorption on Thermophoretic Free Convection Boundary Layer from a Vertical Flat Plate Embedded in a Porous Medium, Int. Comm. Heat Mass Transfer, 2006, vol. 33, no. 9, pp. 1096–1102.

    Article  Google Scholar 

  11. Ali, M.E., The Effect of LateralMass Flux on the Natural Convection Boundary Layers Induced by a Heated Vertical Plate Embedded in a Saturated PorousMedium with Internal Heat Generation, Int. J. Therm. Sci., 2007, vol. 46, no. 2, pp. 157–163.

    Article  Google Scholar 

  12. Ibrahim, F.S., Hassanien, I.A., and Bakar, A.A., Unsteady Magnetohydrodynamic Micropolar Fluid Flow and Heat Transfer over a Vertical Porous Plate through a Porous Medium in the Presence of Thermal and Mass Diffusion with a Constant Heat Source, Canadian J. Physics, 2004, vol. 82, no. 10, pp. 775–790.

    Article  ADS  Google Scholar 

  13. Rahman, M.M. and Sattr, M.A., Magnetohydrodynamic Convective Flow of a Micropolar Fluid past a Continuously Moving Vertical Porous Plate in the Presence of Heat Generation/Absorption, J. Heat Transfer, 2006, vol. 128, no. 2, pp. 142–152.

    Article  Google Scholar 

  14. Ogulu, A., The Influence of Radiation Absorption on Unsteady Free Convection andMass Transfer Flow of a Polar Fluid in the Presence ofUniformMagnetic Field, Int. J. HeatMass Transfer, 2005, vol. 48, nos. 23/24, pp. 5078–5080.

    Article  MATH  Google Scholar 

  15. Sunil, A., Sharma, A., Bharti, P.K., and Shandil, R.G., Effect of Rotation on a Layer of Micropolar Ferromagnetic Fluid Heated from Below Saturating a Porous Medium, Int. J. Eng. Sci., 2006, vol. 44, nos. 11/12, pp. 683–698.

    Article  MATH  Google Scholar 

  16. Bakr, A.A., Effects of Chemical Reaction on MHDFree Convection and Mass Transfer Flow of aMicropolar Fluid with Oscillatory Plate Velocity and Constant Heat Source in a Rotating Frame of Reference, Comm. Nonlin. Sci. Numer. Simul., 2011, vol. 16, pp. 698–710.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. Rahman, M.A. and Sattar, M.A., Transient Convective Flow of Micropolar Fluid past a Continuously Moving Vertical Porous Plate in the Presence of Radiation, Int. J. Appl. Mech. Eng., 2007, vol. 12, no. 2, pp. 497–513.

    Google Scholar 

  18. Abo-Eldahab, E.M. and Ghonaim, A.F., Radiation Effect on Heat Transfer of a Micropolar Fluid through a PorousMedium, Appl. Math. Comp., 2005, vol. 169, no. 1, pp. 500–510.

    Article  MATH  Google Scholar 

  19. Ogulu, A., On the Oscillating Plate-Temperature Flow of a Polar Fluid past a Vertical Porous Plate in the Presence of Couple Stresses and Radiation, Int. Comm. Heat Mass Transfer, 2005, vol. 32, no. 9, pp. 1231–1243.

    Article  Google Scholar 

  20. Rahman, M.A. and Sultan, T., Radiative Heat Transfer Flow of Micropolar Fluid with Variable Heat Flux in a PorousMedium, Nonlin. An. Model. Contr., 2008, vol. 13, no. 1, pp. 71–87.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Siksha O Anusandhan University, Bhubaneswar, India

    S. K. Parida

  2. Department of Mathematics, Krupajal Engineering College, Bhubaneswar, India

    B. R. Rout

Authors
  1. S. K. Parida
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. R. Rout
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. K. Parida.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Parida, S.K., Rout, B.R. Free convective flow through porous medium with variable permeability in slip flow regime with couple stress in the presence of heat source. J. Engin. Thermophys. 26, 125–138 (2017). https://doi.org/10.1134/S1810232817010143

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1810232817010143

Search

Navigation