Examining The Effect of The Magnetic Field on Free Convection Flows in Liquid Metals, Electrolytes and Ionized Gases

Authors

  • Ruchi Gupta  Department of Mathematics, Manav Rachna University, Faridabad, Haryana, India
  • Tarun Singh  Mechanical Department, Manav Rachna University, Faridabad, Haryana, India

Keywords:

Visco-Elastic, Magnetic field, Porous Plate, Free Convection, Visco-elastic jetting.

Abstract

This paper present research result of the behavior of unsteady free convection flow of a visco-elastic fluid past an infinite porous plate with constant suction under the action of the time depend plate temperature. A uniform magnetic field is applied transversely to the porous plate and the magnetic lines of forced are taken to be fixed relative to the fluid. It is assumed that the plate temperate fluctuates about a constant mean, in the magnitude but not in direction. The numerical results of the real part Mr and imaginary part Mi of the fluctuating part of the velocity are tabulated. It is determined that the velocity distribution inside the boundary layer lags behind the wall fluctuation by the constant angle . The results obtained in the paper are useful in analyzing the effect of the magnetic field on free convection flows in liquid metals, electrolytes, and ionized gases.

References

  1. B Yadav and T. Y. Ray(1991), “Unsteady flow of n-immiscible Visco elastic fluid through a poprous medium between two parallal plates in the presence of a transverse magnetic field”, Proc. Nat. Acad. Sci.( 81)389.
  2. A K. Srivastava and H.C. Khare, (1996), “Rayeligh-Taylor instability of two viscous susperposed conducting fluids on a vertical magnetic field”, Proc. Nat. Acad. Sci.( 66)151,
  3. P Kumar(1996), “The instability of two visco-elastic suspended particles and variable magnetic fields in porous medium porosity” J poly m-plast. Tech Engg’; (35)591.
  4. RC. Sharma and S. K. Kango(1999) , “The stability of two superposed walter B visco-elastic fluid in the presence of suspended particles and the variable magnetic field in porous medium” Appl. Mech. Engg; (4 )255.
  5. Rita Choudhary and Alok Das Dec (2001) “Elastico-Viscous flow in a compliant annulus”; Indian J. Pure and Appl. Math: 32(12)): 1905-1915.
  6. Bikash Chandra Ghosh, N.C. Ghosh (2001) “ MHD flow of a Visco-elastic fluid through porous medium” International Journal of Numerical Methods for Heat & Fluid Flow Vol.11 No7,682-698.
  7. Emad M Abo-Eldahab (2001) “Hall Effects on Magnetohydrodynamic Free-Convection Flow at a Stretching Surface with a Uniform Free-Stream” Phys. Scr. 63 No 1 29-35.
  8. Veena Sharma and Glan Chand Rana Jan (2002) “Gravity field in porous medium” Indian J. Pure Appl. Math 33(1): 97-109.
  9. Yu, J.D., Sakai, S., and Sethian, J.A., (2006) “Two –phase Viscoelastic jetting”
  10. to appear, J. Computational Physics.
  11. O Anwar Bég, H S Takhar, R Bhargava, S Rawat and V R Prasad (June 2008) “Numerical study of heat transfer of athird grade Viscoelastic fluid in non-Darcy porous media with thermo-physical effect” Phys. Scr. 77 No 6 065402 (11pp).
  12. Ignacio Lira (November 2008) “Scales of free convection around a vertical cylinder” Eur. J. Phys . 29 No 6 1301-1306.
  13. Y Wei, E Rame, L M Walker and S Garoff (18 November 2009) “Dynamic wetting with viscous Newtonian and Non-Newtonian fluid” J. Phys.: Condens. Matter 21 No 46,464126 (12 pp).
  14. Chen Feng, Xu Ai-Guo, Zhang Guang-Cai, Gan Yan-Biao,Cheng Tao and Li Ying-Jun :(October 2009) “Highly Efficient Lattice Boltzmann Model for Compressible Fluids: Two-Dimensional Case” Commun. Theor. Phys. 52 No 4 681-693.
  15. Ogulu A.and Prakash J., “Finite difference analysis of oscillatory MHD slip flow along a porous vertical wall in a medium with variable suction in the presence of radiation”, AMSE J.Mod. Meas. Cont .B, vol. 73(3), pp.61-68, 2004.
  16. Singh P.and Gupta C.B. “MHD free convective flow of viscous fluid through a porous medium bounded by an oscillating porous plate in slip flow regime with mass transfer” .Ind. J.Theo. Phys. Vol. 53(2), pp. 111-120, 2005.
  17. Khandelwal A.K. and Jain N.C. “Unsteady MHD flow of stratified fluid through porous medium over a moving plate in slip flowregime” . Ind.J. Theo. Phys. Vol. 53(1), pp. 25-35, 2005.
  18. Ogulu A.and Abbey T.M. “Simulation of heat transfer on an oscillatory blood flow in an indented porous tube”. Int. Comm. Heat Masstransfer, vol. 32, pp. 983-989, 2005.
  19. Das S.S., Tripathy R.K., Sahoo S.K.and Dash B.K. , “Mass transfer effects on free convective MHD flow of a viscous fluid bounded by anoscillating porous plate in the slip flow regime with heat source”. J.Ultra Scientiest of Phys Sci., vol. 20(1M), pp. 169-176, 2008.
  20. Choudhury R. and Dey D., “Free convective visco-elastic flow with heat and mass transfer through a porous medium with periodic permeability”. Int. J. heat and mass transfer, vol. 53, pp.1666-1672, 2010.
  21. Choudhury R. and Das S.K., “Boundary Layers in oscillatory MHD visco-elastic flow past a porous vertical plate with periodic suction”, Int.J. of App andEng.res.,vol.6(9),pp.1127-1139,2011.
  22. Choudhury R. and Mohanta M., “MHD mixed convective oscillatory flow of visco –elastic fluid in a porous channel”. JP Journal of heat and mass transfer. Vol.6 (2), pp.177-190, 2012.
  23. Choudhury R. and Das U.J., “Heat transfer to MHD oscillatory visco-elastic flow in a channel filled with porous medium”, physics research international, Ar ID 879537, 5 pages ,2012
  24. Choudhury R. and Das S.K., “Visco-elastic free convective flow and heat transfer past an oscillatory porous plate in the slip flow regime”, Adv. theor. and appli math, vol. 7(4), pp. 403-416, 2012.
  25. Choudhury R. and Das S.K., “Visco-elastic MHD oscillatory horizontal channel flow and heat Transfer with heat source”, Appl Math and comp sci., vol. 4, PP. 49-67,2013.
  26. L. Harikrishna, M. Veerakrishna, M.C. Raju, Hall current effects on unsteady
  27. MHD flow in a rotating parallel plate channel bounded by porous bed on the lower half Darcy lap wood model, Mathematical sciences International research journal, Vol.4 (2015), 29-39.
  28. L. Rama Mohan Reddy, M. C. Raju, G. S. S. Raju, Natural convection boundary layer flow of a double diffusive and rotating fluid past a vertical 590 P. Gurivi Reddy porous plate. Int. J. Appl. Comput. Math. (2016). DOI 10.1007/s40819-n0174-7.
  29. L. Rama Mohan Reddy, M. C. Raju, G. S. S. Raju, & N. A. Reddy., Thermal diffusion and rotational effects on magneto hydrodynamic mixed convection flow of heat absorbing/generating visco- elastic fluid through a porous channel", Frontiers in Heat and Mass Transfer, Vol.7 (1), 2016. DOI: 10.5098/hmt.7.20
  30. M.Umamaheswar, M. C. Raju and S. V. K. Varma, MHD convective heat and mass transfer flow of a Newtonian fluid past a vertical porous plate with chemical reaction, radiation absorption and thermal diffusion, International Journal of Engineering Research in Africa Vol. 19 (2016), 37-56, doi:10.4028/www.scientific.net/JERA.19.37.
  31. M. Umamaheswar, M. C. Raju, S. V. K. Varma, Effects of Time Dependent Variable Temperature and Concentration Boundary Layer on MHD Free Convection Flow Past a Vertical Porous Plate in the Presence of Thermal Radiation and Chemical Reaction, Int. J. Appl. Comput. Math. DOI 10.1007/s40819-015-0124-9. 2016.
  32. M. C. Raju, A. J. Chamkha, J.Philip, S.V.K.Varma, Soret effect due to mixed convection on unsteady magnetohydrodynamic flow past a semi-infinite vertical permeable moving plate in presence of thermal radiation, heat absorption and homogenous chemical reaction, International Journal of Applied and Computational Mathematics(2016). DOI 10.1007/s40819-016- 0147-
  33. P. G. Reddy., Raju M.C., Mamatha B. and Varma S.V.K. (2016) Thermal Diffusion Effect on MHD Heat and Mass Transfer Flow past a Semi Infinite Moving Vertical Porous Plate with Heat Generation and Chemical Reaction, Applied Mathematics, 7, 638-649.
  34. S.H. Reddy, M. C. Raju, E. Keshava Reddy, Radiation absorption and chemical reaction effects on MHD flow of heat generating Casson fluid past Oscillating vertical porous plate, Frontiers in Heat and Mass Transfer (FHMT), 7, 21 (2016). DOI: 10.5098/hmt.7.21
  35. L. Rama Mohan Reddy, M. C. Raju, G. S. S. Raju., Unsteady MHD free convection flow of a visco-elastic fluid past a vertical porous plate in the presence of thermal radiation, radiation absorption, heat generation/absorption and chemical reaction, International Journal of Applied Science and Engineering, Vol.14 (2), 2016, 69-85.
  36. L. Ramamohan Reddy, M. C. Raju, G. S. S. Raju and S. M. Ibrahim,“ Chemical reaction and thermal radiation effects on MHD micropolar fluid pasta stretching sheet embedded in a non-Darcian porous medium”, Journal of Computational and Applied Research in Mechanical Engineering, Vol. 6. No.2, pp. 27-46 , 2017. DOI: 10.22061/jcarme.2017.582

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2018-04-30

Issue

Volume 4, Issue 4, March-April-2018

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Research Articles

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How to Cite

[1]
Ruchi Gupta, Tarun Singh, " Examining The Effect of The Magnetic Field on Free Convection Flows in Liquid Metals, Electrolytes and Ionized Gases, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 4, pp.849-857, March-April-2018.