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MHD mixed convection flow and heat transfer in a porous medium


The effects of a steady two-dimensional laminar MHD mixed convection flow and heat transfer against a heated vertical semi-infinite permeable surface in a porous medium are discussed. The coupled nonlinear partial differential equations describing the conservation of mass, momentum, and energy are solved by a perturbation technique. The results are presented to illustrate the influence of Hartmann number (M), Prandtl number (Pr), permeability parameter (K p ), suction/blowing parameter (f w ), heat generation/absorption coefficient (ϕ), and mixed convection or buoyancy parameter (γ). The effects of different parameters on the velocity and temperature as well as the skin friction and wall heat transfer are discussed with the help of figures.

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  1. 1.

    Hiemenz, K., Die Grenzschicht an einem in den gleichformigen Flussigkeitsstrom eingetauchten geraden Kreiszylinder, Dingler’s Polytech. J., 1911, vol. 6, no. 2, pp. 321–410.

    Google Scholar 

  2. 2.

    Raptis, A.A. and Takhar, H.S., Flow through a Porous Medium, Mech. Res. Commun., 1987, vol. 14, nos. 5/6, pp. 327–329.

    Article  MATH  Google Scholar 

  3. 3.

    Takhar, H.S., Soundalgekar, V.M., and Gupta, A.S., Mixed Convection of an Incompressible Viscous Fluid in a PorousMedium past a Hot Vertical Plate, Int. J. Non-Linear Mech., 1990, vol. 25, no. 6, pp. 723–728.

    Article  MATH  Google Scholar 

  4. 4.

    Sparrow, E.M. and Cess, R.D., Temperature-Dependent Heat Sources or Sinks in a Stagnation Point Flow, Appl. Sci. Res., 1961, vol. 25, pp. 185–197.

    Article  MATH  Google Scholar 

  5. 5.

    Chamkha, A.J., HydromagneticMixed Convection Stagnation Flow with Suction and Blowing, Int. Comm. Heat Mass Transfer, 1998, vol. 25, no. 3, pp. 417–426.

    Article  Google Scholar 

  6. 6.

    Gorla, R.S.R. and Hassanien, I.A., Mixed Convection in Stagnation Flows of Micropolar Fluids over Vertical Surfaces with Non-Uniform Surface Heat Flux, Int. J. Eng. Fluid Mech., 1992, vol. 5, no. 3, pp. 391–412.

    Google Scholar 

  7. 7.

    Yih, K.A., Heat Source/Sink Effect on MHD Mixed Convection in Stagnation Flowon aVerticalPermeable Plate in PorousMedia, Int. Comm. Heat Mass Transfer, 1998, vol. 25, no. 3, pp. 427–442.

    Article  Google Scholar 

  8. 8.

    Wu, Q., Weinbaum, S., and Andreopoulos, Y., Stagnation Point Flow in a PorousMedium, Chem. Eng. Sci., 2005, vol. 60, pp. 123–134.

    Article  Google Scholar 

  9. 9.

    Abdelkhalek, M.M., The Skin Friction in theMHDMixed Convection Stagnation Point with Mass Transfer, Int. Comm. Heat Mass Transfer, 2006, vol. 33, pp. 249–258.

    Article  Google Scholar 

  10. 10.

    Kumaran, V., Tamizharasi, R., and Vajaravelu, K., Approximate Analytical Solution for MHD Stagnation Point Flow in PorousMedia, Comm. Non-Linear Sci. Numer. Simul., 2009, vol. 14, no. 6, pp. 2677–2688.

    ADS  Article  MATH  Google Scholar 

  11. 11.

    Attia, H.A., Stagnation Point Flow and Heat Transfer of a Micropolar Fluid with Uniform Suction or Blowing, J. Braz. Soc.Mech. Sci. Eng., 2008, vol. 30, no. 1, pp. 51–55.

    MathSciNet  Article  Google Scholar 

  12. 12.

    Bachok, N. and Ishak, A., MHD Stagnation Point Flow of a Micropolar Fluid with Prescribed Wall Heat Flux, Eur. J. Sci. Res., 2009, vol. 35, no. 3, pp. 436–443.

    Google Scholar 

  13. 13.

    Singh, G., Sharma, P.R., and Chamkha, A.J., Effects of Volumetric Heat Generation/Absorption on Mixed Convection Stagnation Point Flow on an Isothermal Vertical Plate in PorousMedia, Int. J. Industr. Math., 2010, vol. 2, no. 2, pp. 59–71.

    Google Scholar 

  14. 14.

    Bhatanagar, R.K. and Palekar, M.G., Boundary Layer on a Rotating Sphere in a Non-Newtonian Liquid, J. Math. Phys. Sci., 1974, vol. 8, pp. 439–444.

    MATH  Google Scholar 

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Correspondence to R. N. Barik.

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Barik, R.N. MHD mixed convection flow and heat transfer in a porous medium. J. Engin. Thermophys. 25, 248–261 (2016).

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  • Porous Medium
  • Nusselt Number
  • Stagnation Point
  • Porous Matrix