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Free convective MHD flow of visco-elastic fluid past a vertical porous plate in the presence of heat source and chemical reaction

Abstract

Magnetohydrodynamics flow of a visco-elastic incompressible fluid (Walter’s B′ model) past an infinite porous plate in porous medium under the action of transverse uniform magnetic field in the presence of heat source and chemical reaction is investigated. The governing equations of the motion, energy and concentration are solved by a successive perturbation technique. The flow phenomenon is characterized by suction parameter, magnetic parameter, porosity parameter, Grashoff number, modified Grashoff number, Prandtl number, heat source parameter, chemical reaction parameter and Schmidt number. The expressions for skin friction coefficient, Nusselt number, and Sherwood number on the surface are also discussed.

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References

  1. 1.

    Rivlin, R.S. and Ericksen, J.L., Stress Deformation Relation for Isotropic Material, J. Rat. Mech. Anul., 1955, vol. 4, pp. 323–425.

    MathSciNet  Google Scholar 

  2. 2.

    Sisodia, S.S. and Gupta, M., Unsteady Flow of a Dusty Rivlin–Ericksen Fluid through Circular and Coaxial Circular Ducts, Ind. J. Pure Appl.Math., 1983, vol. 14, pp. 180–189.

    Google Scholar 

  3. 3.

    Gupta, M. and Babu, B., Flow of Dusty Rivlin–Ericksen Fluid through a Hexagonal Channel, DEI. J. Sci. Engg. Res., 1986, vol. 4, pp. 21–24.

    Google Scholar 

  4. 4.

    Lal, B. and Johri, A.K., MHD Transient Flow of Second-Order Rivlin–Ericksen Fluid down an Inclined Porous Channel, Ind. J. Th. Phys., 1990, vol. 38, pp. 271–282.

    Google Scholar 

  5. 5.

    Bagewadi, C.S. and Gireesha, B.J., A Study of Two-Dimensional Steady Dusty Fluid Flows under Varying Temperature, Int. J. Appl. Mech. Eng., 2004, vol. 09, pp. 647–653.

    MATH  Google Scholar 

  6. 6.

    Choudhary, R.K.S. and Singh, K.K., Flow of a Dusty Viscoelastic (Kuvshiniski model) Liquid down an Inclined Plate, Proc. Nat. Acad. Sci. India, 1999, vol. 61(A), pp. 223–228.

    Google Scholar 

  7. 7.

    Attia, H.A., Unsteady Hydromagnetic Channel Flow of a Dusty Fluid with Temperature-DependentViscosity and Thermal Conductivity, HeatMass Transfer, 2006, vol. 42, pp. 779–787.

    ADS  Google Scholar 

  8. 8.

    Gireesha, B.J., Bagewadi, C.S., and Prasannakumara, B.C., Flow of Unsteady Dust Fluid under Varying Pulsatile Pressure Gradient in a Holonomic Coordinate System, EJTP, 2007, vol. 4, no. 14, pp. 9–16.

    MATH  Google Scholar 

  9. 9.

    Gireesha, B.J., Nirmala, T., Vishalakshi, C.S., and Bagewadi, C.S., Flow of Unsteady Dust Visco-Elastic Fluid between Two Moving Plates in Frenet–Frame Field System, Buletinuel Academiei De Stinte A Republiell MoldovaMathematica, 2009, vol. 3, no. 61, pp. 30–41.

    MathSciNet  MATH  Google Scholar 

  10. 10.

    Sharma, P.R. and Sharma, S., Unsteady Two-Dimensional Flow and Heat Transfer through an Elastic-Viscous Liquid along an Infinite Hot Vertical Porous Surface Bounded by Porous Medium, Bull. Calcutta Math. Soc., 2005, vol. 97, pp. 477–488.

    ADS  MATH  Google Scholar 

  11. 11.

    Sharma, P.R. and Pareek, D., Unsteady Flow and Heat Transfer through an Elastic-Viscous Liquid along an Infinite Hot Vertical Porous Moving Plate with Variable Free Stream Suction, Bull. Calcutta Math. Soc., 2006, vol. 98, pp. 97–108.

    MATH  Google Scholar 

  12. 12.

    Rath, P.K., Dash, G.C., and Patra, A.K., Effect of Hall Current and Chemical Reaction on MHD Flow along an Exponentially Accelerated Porous Flat Plate with Internal Heat Absorption/Generation, Proc. Nat. Acad. Sci. India, 2010, vol. 80(A), pp. 295–308.

    Google Scholar 

  13. 13.

    Rath, P.K., Parida, T., and Dash, G.C., Three-Dimensional Free Convective Flow through PorousMedium in a Vertical Channel with Heat Source and Chemical Reaction, Proc. Nat. Acad. Sci. India, 2012, vol. 82(A), part III, pp. 225–232.

    Google Scholar 

  14. 14.

    Singh, A.K., Agarwal, D.C., and Singh, N.P., Hydromagnetic Natural Convection and Mass Transfer of a Dusty Non-Newtonian Liquid (Walters B′ Model), Proc. Nat. Acad. Sci. India, 2009, vol. 79(A), part VI, pp. 359–366.

    Google Scholar 

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Parida, T., Rath, P.K. Free convective MHD flow of visco-elastic fluid past a vertical porous plate in the presence of heat source and chemical reaction. J. Engin. Thermophys. 25, 288–298 (2016). https://doi.org/10.1134/S1810232816020132

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Keywords

  • Dust
  • Porous Medium
  • Nusselt Number
  • Prandtl Number
  • Skin Friction