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Transfer effects on an unsteady MHD mixed convective flow past a vertical plate with chemical reaction

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An attempt is made to study the effects of chemical reaction and combined buoyancy effects on an unsteady MHD mixed convective flow along an infinite vertical porous plate in the presence of hall current. A uniform magnetic field is applied in a direction normal to the porous plate. The governing coupled non-linear partial differential equations are solved using an efficient Galerkin finite element method. With the help of graphs, the effects of the various important parameters entering into the problem on the velocity, temperature, and concentration fields within the boundary layer are discussed. Also the effects of the pertinent parameters on the skin-friction coefficient and rates of heat and mass transfer in terms of the Nusselt number and Sherwood number are presented numerically in a tabular form. The results obtained show that the velocity, temperature, and concentration fields are appreciably influenced by the presence of chemical reaction, hall current, heat, and mass transfer. It is observed that the effect of Schmidt number and chemical reaction parameter is to decrease the velocity and concentration profiles in the boundary layer while the velocity profiles are increasing with increasing of hall parameter, Grashof numbers for heat and mass transfer. There is also considerable effect of hall current and chemical reaction on skin-friction coefficient and Nusselt number. In the present analysis various comparisons with previously published work are performed and the results are found to be in a good agreement.
Rocznik
Strony
221--249
Opis fizyczny
Bibliogr. 37 poz., rys., tab., wykr.
Twórcy
autor
  • Department of Mathematics GITAM University, Hyderabad Campus Rudraram, 502329, Telangana State, India
Bibliografia
  • 1. Nield D.A., Bejan A., Convection in porous media, 2nd Edition, Springer Verlag, Berlin, 1998.
  • 2. Hiremath P.S., Patil P.M., Free convection effects on oscillatory flow of couple stress field through a porous medium, Acta Mechanica, 98(1–4): 143–158, 1993.
  • 3. Sharma B.K., Chaudhary R.C., Sharma P.K., Fluctuating mass transfer on three dimensional flow through a porous medium with variable permeability, Advances in Theoretical and Applied Mathematics, 2(3): 257–267, 2007.
  • 4. Helmy K.A., MHD unsteady free convection flow past a vertical porous plate, ZAMM, 98(4): 255–270, 1998.
  • 5. Chaudhary R.C., Sharma B.K., Combined heat and mass transfer by laminar mixed convection flow from a vertical surface with induced magnetic field, Journal of Applied Physics, 99(3): 3401–3410, 2006, doi:10.1063/1.2161817.
  • 6. Sharma B.K., Chaudhary R.C., Hydromagnetic unsteady mixed convection and mass transfer flow past a vertical porous plate immersed in a porous medium with Hall Effect, Engineering Transactions, 56(1): 3–23, 2008.
  • 7. El-Amin M.F., Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction, Journal of Magnetism and Magnetic Materials, 234(3): 567–574, 2001, doi:10.1016/S0304–8853(01)00374–2.
  • 8. Ramana Murthy M.V., Srinivasa Raju R., Anand Rao J., Heat and mass transfer effects on MHD natural convective flow past an infinite vertical porous plate with thermal radiation and Hall current, Procedia Engineering Journal, 127: 1330–1337, 2015.
  • 9. Raju R.S., Sudhakar K., Rangamma M., The effects of thermal radiation and heat absorption on an unsteady MHD free convection flow past an infinite vertical plate with thermal diffusion and diffusion thermo, Journal of Institution of Engineers (India): Series C, 94: 175–186, 2013.
  • 10. Anand Rao J., Srinivasa Raju R., The effects of Hall currents, Soret and Dufour on MHD flow and heat transfer along a porous flat plate with mass transfer, Journal of Energy, Heat and Mass Transfer, 33: 351–372, 2011.
  • 11. Siva Reddy Sheri, Srinivasa Raju R., Soret effect on unsteady MHD free convective flow past a semi-infinite vertical plate in the presence viscous dissipation, International Journal of Computational Methods in Engineering Science and Mechanics, 16(2): 132– 141, 2015.
  • 12. Siva Reddy Sheri, Srinivasa Raju R., Transient MHD free convective flow past an infinite vertical plate embedded in a porous medium with viscous dissipation, Meccanica, 51(5): 1057–1068, 2016.
  • 13. Sivaiah S., Srinivasa Raju R., Finite element solution of heat and mass transfer flow with Hall current Heat Absorption and viscous dissipation, Applied Mathematics and Mechanics (English Edition), 34: 559–570, 2013.
  • 14. Rao V.S., Babu L.A., Raju R.S., Finite element analysis of radiation and mass transfer flow past semi – infinite moving vertical plate with viscous dissipation, Journal of Applied Fluid Mechanics, 6(3): 321–329, 2013.
  • 15. Anand Rao J., Srinivasa Raju R., Sivaiah S., Finite element solution of MHD transient flow past an impulsively started infinite horizontal porous plate in a rotating fluid with Hall current, Journal of Applied Fluid Mechanics, 5(3): 105–112, 2012.
  • 16. Anand Rao J., Srinivasa Raju R., Sivaiah S., Finite element solution of heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity, Journal of Applied Fluid Mechanics, 5(3): 1–10, 2012.
  • 17. Cussler E.L., Diffusion mass transfer in fluid systems, 2nd Edition, Cambridge University Press, Cambridge, 1998.
  • 18. Das U.N., Deka R.K., Soundalgekar V.M., Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction, Forschung im Ingenieurwesen, 60(10): 284–287, 1994, doi:10.1007/BF02601318.
  • 19. Muthucumarswamy R., Ganesan P., First order chemical reaction on flow past an impulsively started vertical plate with uniform heat and mass flux, Acta Mechanica, 147(1–4): 45–57, 2001, doi:10.1007/BF01182351.
  • 20. Muthucumarswamy R., Effects of a chemical reaction on moving isothermal vertical surface with suction, Acta Mechanica, 155(1–2): 65–70, 2002.
  • 21. Das U.N., Deka R., Soundalgekar V.M., Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction, Forschung im Ingenieurwesen/Engineering Research, 60(10): 284–287, 1994.
  • 22. Anjali Devi S.P., Kandasamy R.K., Effects of chemical reaction, heat and mass transfer on laminar flow along a semi infinite horizontal plate, Heat and Mass Transfer, 35(6): 465–467, 1999.
  • 23. Seddeek M.A., Darwish A.A., Abdelmeguid M.S., Effects of chemical reaction and variable viscosity on hydromagnetic mixed convection heat and mass transfer for Hiemenz flow through porous media with radiation, Communications in Nonlinear Science and Numerical Simulation, 12(2): 195–213, 2007.
  • 24. Patil P.M., Kulkarni P.S., Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation, International Journal of Thermal Sciences, 47(8): 1043–1054, 2008.
  • 25. Salem A.M., Abd El-Aziz M., Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption, Applied Mathematical Modeling, 32(7): 1236–1254, 2008.
  • 26. Ibrahim F.S., Elaiw A.M., Bakr A.A., Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi infinite vertical permeable moving plate with heat source and suction, Communications in Nonlinear Science and Numerical Simulation, 13(6): 1056–1066, 2008.
  • 27. Parida S.K., Acharya M., Dash G.C., Panda S., MHD heat and mass transfer in a rotating system with periodic suction, Arabian Journal for Science and Engineering, 36(6): 1139–1151, 2011.
  • 28. Rajeswari R., Jothiram B., Nelson V.K., Chemical reaction, heat and mass transfer on Nonlinear MHD boundary layer flow through a vertical porous surface in the presence of suction, Applied Mathematical Sciences, 3(49–52): 2469–2480, 2009.
  • 29. Mahdy A., Effect of chemical reaction and heat generation or absorption on double diffusive convection from a vertical truncated cone in porous media with variable viscosity, International Communications in Heat and Mass Transfer, 37(5): 548–554, 2010.
  • 30. Muthucumaraswamy R., Ravi Shankar M., First order chemical reaction and thermal radiation effects on unsteady flow past an accelerated isothermal infinite vertical plate, Indian Journal of Science and Technology, 4(5): 573–577, 2011.
  • 31. Jithender Reddy G., Anand Rao J., Srinivasa Raju R., Chemical reaction and radiation effects on MHD free convection from an impulsively started infinite vertical plate with viscous dissipation, International Journal of Advances in Applied Mathematics and Mechanics, 2(3): 164–176, 2015.
  • 32. Sudhakar K., Srinivasa Raju R., Rangamma M., Hall effect on an unsteady MHD flow past along a porous flat plate with thermal diffusion, diffusion thermo and chemical reaction, Journal of Physical and Mathematical Sciences, 4(1): 370–395, 2013.
  • 33. Sudhakar K., Srinivasa Raju R., Rangamma M., Chemical reaction effect on an unsteady MHD free convection flow past an infinite vertical accelerated plate with constant heat flux, thermal diffusion and diffusion thermo, International Journal of Modern Engineering Research, 2(5): 3329–3339, 2012.
  • 34. Anand Rao J., Sivaiah S., Srinivasa Raju R., Chemical Reaction effects on an unsteady MHD free convection fluid flow past a semi-infinite vertical plate embedded in a porous medium with heat absorption, Journal of Applied Fluid Mechanics, 5(3): 63– 70, 2012.
  • 35. Srinivasa Raju R., Combined influence of thermal diffusion and diffusion thermo on unsteady hydromagnetic free convective fluid flow past an infinite vertical porous plate in presence of chemical reaction, Journal of Institution of Engineers (India), Series C: 1–11, 2016, doi: 10.1007/s40032-016-0258-5.
  • 36. Srinivasa Raju R., Mahesh Reddy B., Rashidi M.M., Gorla R.S.R., Application of finite element method to unsteady MHD free convection flow past a vertically inclined porous plate including thermal diffusion and diffusion thermo effects, Journal of Porous Media, 2016 (in Press).
  • 37. Srinivasa Raju R., Jithender Reddy G., Anand Rao J., Rashidi M.M., Gorla R.S.R., Analytical and Numerical study of unsteady MHD free convection flow over an exponentially moving vertical plate with heat absorption, International Journal of Thermal Sciences, 107: 303–315, 2016.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1ffc3fd2-06e8-440f-b6d3-786d9e193b26
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