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Effect of Hall Current and Chemical Reaction on MHD Flow Along an Accelerated Porous Flat Plate with Internal Heat Absorption/Generation

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An Erratum to this article was published on 01 July 2014

The effect of the Hall current on unsteady free convection of an electrically conducting incompressible viscous fluid past an accelerated vertical porous plate with internal heat absorption/generation in the presence of various species (H2, CO2, H2O, and NH3) undergoing a first-order chemical reaction in a uniform transverse magnetic field is studied. The role of pertinent parameters characterizing the flow field is discussed. The governing equations are solved using the Hhn(x) functions. It is revealed that heat generation coupled with injection results in a backflow rise. A linearly varying velocity of the plate causes a sudden rise or fall of the velocity in the vicinity of the plate, whereas an asymptotically varying velocity leads to a uniform fall. The presence of chemical reaction increases the secondary velocity by 40%.

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References

  1. H. Sato, The Hall effect in the viscous fl ow of ionized gas between parallel plates under transverse magnetic field, J. Phys. Soc. Jpn., 16, No. 7, 1427–1433 (1961).

    Article  MATH  Google Scholar 

  2. T. Yamanishi, Effect of Hall current on the steady hydromagnetic fl ow between two parallel plates, in: Proc. 17th Annual Meeting, Phys. Soc. Japan, Vol. 5, Osaka, Japan, 1962, p. 29.

  3. I. Pop, The effect of Hall current on hydromagnetic fl ow near an accelerated plate. J. Math. Phys. Sci., 5, 375–385 (1971).

    MATH  Google Scholar 

  4. M. A. Hossain and K. Mohammad, Effect of Hall current on hydromagnetic free convection flow near an accelerated plate, Jpn. J. Appl. Phys., 27, No. 8, 1553–1535 (1988).

    Google Scholar 

  5. G. C. Pande and P. Hatzikonstantinou, The unsteady hydromagnetic thermal boundary layer flow of a strongly ionized gas, Astrophys. Space Sci., 107, 313–322 (1984).

    Article  MATH  Google Scholar 

  6. M. A. Sattar, Free convection and mass transfer flow through a porous medium past an infinite vertical porous plate with time dependent temperature and concentration, Indian J. Pure Appl. Math., 23, 759–766 (1994).

    Google Scholar 

  7. M. Acharya, G. C. Dash, and L. P. Singh, Effect of chemical and thermal diffusion with Hall current on unsteady hydromagnetic flow near an infinite vertical porous plate, J. Phys. D: Appl. Phys., 28, 2455–2464 (1995).

    Article  Google Scholar 

  8. G. C. Dash and B. K. Ojha, Effects of free convection currents on the flow of an electrically conducting fluid past an accelerated vertical infinite plate with variable suction and internal heat generation, AMSE, Modell., Simul. Control, 21, 1–12 (1989).

  9. G. C. Dash and P. K. Rath, Explicit finite difference scheme for flow and heat transfer of an electrically conducting fluid between parallel porous plates, Proc. Natl. Acad. Sci. India, 67, 185–192 (1997).

    MATH  Google Scholar 

  10. M. Rahman and I. Mulolani, Convective-diffusive transport with chemical reaction in natural convection flows, Theor. Comput. Fluid Dyn., 13, 291–304 (2000).

    Article  MATH  Google Scholar 

  11. R. Muthucumaraswamy, Effects of a chemical reaction on a moving isothermal vertical surface with suction, Acta Mech., 155, 65–70 (2002).

    Article  MATH  Google Scholar 

  12. A. J. Chamkha, MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction, Int. Commun. Heat Mass Transf., 30, 413–422 (2003).

    Article  Google Scholar 

  13. A. A. Afify, MHD free convective flow and mass transfer over a stretching sheet with chemical reaction, Heat Mass Transf., 40, 495–500 (2004).

    Google Scholar 

  14. G. C. Dash and P. K. Rath, Effect of Hall current on hydromagnetic free convection flow near an exponentially accelerated porous plate with mass transfer, AMSE, Modell., Meas. Control, 71, 45–60 (2002).

  15. S. Dash, G. C. Dash, and D. P. Mishra, MHD flow through a porous medium past a stretched vertical permeable surface in the presence of heat source/sink and a chemical reaction, Proc. Natl. Acad. Sci. India, 78, 49–55 (2008).

    Google Scholar 

  16. P. K. Rath, G. C. Dash, and A. K. Patra, Effect of Hall current and chemical reaction on MHD flow along an exponentially accelerated porous flat plate with internal heat absorption/generation, Proc. Natl. Acad. Sci. India A, 80, No. 4, 295–308 (2010).

    Google Scholar 

  17. K. Elangovan and N. P. Ratchager, Analytical solution to the problem of MHD flow between inclined porous plates, Int. J. Math. Sci. Eng. Appl., 5, No. 5, 105–122 (2011).

    MathSciNet  Google Scholar 

  18. M. Acharya, G. C. Dash, and L. P. Singh, Effect of chemical and thermal diffusion with Hall current on unsteady hydrodynamic flow near an infinite vertical porous plate, J. Phys. D: Appl. Phys., 28, 2455–2454 (1995).

    Article  Google Scholar 

  19. H. Jeffreys and B. S. Jeffreys, Methods of Mathematical Physics, Cambridge University Press, Cambridge (1972).

    MATH  Google Scholar 

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Correspondence to S. N. Sahoo.

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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 87, No. 3, pp. 605–615, May–June, 2014.

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Kar, M., Sahoo, S.N. & Dash, G.C. Effect of Hall Current and Chemical Reaction on MHD Flow Along an Accelerated Porous Flat Plate with Internal Heat Absorption/Generation. J Eng Phys Thermophy 87, 624–634 (2014). https://doi.org/10.1007/s10891-014-1053-x

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  • DOI: https://doi.org/10.1007/s10891-014-1053-x

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