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Free Convective Visco-Elastic MHD Flow and Heat Transfer with Radiation

by Sajal Kumar Das
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 182 - Number 39
Year of Publication: 2019
Authors: Sajal Kumar Das
10.5120/ijca2019918494

Sajal Kumar Das . Free Convective Visco-Elastic MHD Flow and Heat Transfer with Radiation. International Journal of Computer Applications. 182, 39 ( Feb 2019), 32-40. DOI=10.5120/ijca2019918494

@article{ 10.5120/ijca2019918494,
author = { Sajal Kumar Das },
title = { Free Convective Visco-Elastic MHD Flow and Heat Transfer with Radiation },
journal = { International Journal of Computer Applications },
issue_date = { Feb 2019 },
volume = { 182 },
number = { 39 },
month = { Feb },
year = { 2019 },
issn = { 0975-8887 },
pages = { 32-40 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume182/number39/30352-2019918494/ },
doi = { 10.5120/ijca2019918494 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:13:48.176078+05:30
%A Sajal Kumar Das
%T Free Convective Visco-Elastic MHD Flow and Heat Transfer with Radiation
%J International Journal of Computer Applications
%@ 0975-8887
%V 182
%N 39
%P 32-40
%D 2019
%I Foundation of Computer Science (FCS), NY, USA
Abstract

An analysis of the steady free convective flow and heat transfer of a visco-elastic fluid confined between a long vertical wavy wall and a uniformly moving parallel flat wall has been presented. The x axis is taken along the length of the walls while the walls are given by y=εcos(Kx) and y=d. A uniform magnetic field is assumed to be applied normal to the flat wall. The equations governing the fluid flow and heat transfer have been solved by perturbation technique subject to the relevant boundary conditions. It is assumed that the solution consists of two parts, a mean part and a perturbed part. The long wave approximation has been used to obtain the solution of the perturbed part and to solve the mean part the well known approximation used by Ostrach [1] has been utilized. The perturbed part of the solution is the contribution from the waviness of the wall. Expressions for the zeroth-order and first order velocity, temperature, non-dimensional skin friction at the walls and pressure drop are obtained. The first order velocity, pressure drop, and skin friction coefficient have been presented graphically to observe the visco-elastic effects in combination of other flow parameters involved in the solution.

References
  1. Ostrach, S. 1951. Laminar natural convection flow and heat transfer of fluids with and without heat sources in channels with constant wall temperature. N. A. C. A. Tech. Note.1962. No. 2863.
  2. Cess, R. D. 1966. Interaction of thermal radiation with free convection heat transfer. Int. J. Heat Mass Transfer, 9(1966), 1269-1277.
  3. Arpaci, V.S.1968. Effects of thermal radiation on the laminar free convection from a heated vertical plate. Int. J. Heat Mass Transfer. 11(1968), 871-881.
  4. Cheng, E.H. and Ozisik, M.N. 1972. Radiation with free convection in an absorbing emitting and scattering medium. Int. J. Heat Mass Transfer. 15(1972), 1243-1252.
  5. Hasegawa, S., Echigo, R. and Fakuda, K. 1972. Analytic and experimental studies on simultaneous radiative and free convective heat transfer along a vertical plate. Proc. Jap. Soc. Mech. Eng. 38(1972), 2873-2883.
  6. Hossain, M.A. and Takhar, H.S. 1996. Radiation effects on mixed convection along a vertical plate with uniform surface temperature. Heat and Mass Transfer. 31(1996), 143-157.
  7. Hossain, M.A. and Takhar, H.S. 1997. Radiation-conduction interaction in mixed convection along rotating bodies. Heat and Mass Transfer. 33(1997), 201-208.
  8. Hossain, M.A., Rees, D.A.S. and Pop, I. 1998. Free convection-radiation interaction from an isothermal plate inclined at a small angle to the horizontal. Acta Mechanica. 127(1998), 63-73.
  9. Tak, S.S. and Kumar, H. 2007. Heat transfer with radiation in MHD free convection flow confined between a vertical wavy wall and a flat wall. Bulletin of Pure and Applied Mathematics. 1(2007)(2),126-140.
  10. Mohamed, R.A., Mahdy, A. and Hady, F.M. 2008. Combined radiation and free convection from a vertical wavy surface embedded in porous media. Int. J. of Appl. Math and Mech. 4(2008), 49-58.
  11. Raptis, A. and Perdikis, C. 1999. Radiation and free convection flow past a moving plate. Applied Mechanics and Engineering. 4(1999), 817-821.
  12. Ganeshan, P., Loganathan, P. and Soundalgekar, V.M. 2001. Radiation effects on Flow Past an Impulsively Started Infinite Vertical Plate. Int. J. of Applied Mechanics and Engineering. 6(2001), 719-730.
  13. Brewster, M. Q. 1992. Thermal Radiative Transfer and Properties. John Wiley and sons Inc.
  14. Lekoudis, S.G., Neyfeh, A.H. and Saric, W.S. 1976. Compressible boundary layers over wavy walls. Phys. Fluids. 19(1976), 514-519.
  15. Shankar, P.N. and Sinha, U.N. 1976. The Reyleigh problem for a wavy wall. J. Fluid Mech.77 (1976), 243-256.
  16. Bordner, G.L. 1978. Nonlinear analysis of laminar boundary layer flow over a periodic Wavy surface. Phys. Fluids. 21(1978), 1471-1474.
  17. Lessen, M. and Gangwani, S.T. 1976. Effect of small amplitude wall waviness upon the stability of the laminar boundary layer. Phy. Fluids 19(1976), 510-513.
  18. Tuck, E.O. and Kouzoubov, A. 1995. A laminar roughness boundary condition. J. Fluid Mach. 300(1995), 59-70.
  19. Patidar, R.P. and Purohit, G.N. 1998. Free convection flow of a viscous incompressible fluid in a porous medium between two long vertical wavy walls. Indian J. Math. 40(1998), 67-86.
  20. Vajravelu, K. and Sastri, K.S. 1978. Free convective heat transfer in a viscous incompressible fluid confined between a long vertical wavy wall and a parallel flat wall. J. Fluid Mech. 86(1978), 365-383.
  21. Das, U.N. and Ahmed, N. 1992. Free convective MHD flow and heat transfer in a viscous incompressible fluid confined between a long vertical wavy wall and parallel flat wall. Indian J. Pure Appl. Math. 23(1992), 295-304.
  22. Mahdy, A., Mohamed, R.A. and Hady, F.M. 2009. Natural convection from a vertical wavy plate embedded in porous media for power law fluids in presence of magnetic field. Int. J. of Appl. Math and Mech. 5(2009), 8-15.
  23. Mahdy, A. 2009. Mixed convection heat and mass transfer on a vertical wavy plate embedded in a saturated porous media (PST/PSC). Int. J. of Appl. Math and Mech. 5(2009), 88-97.
  24. Ozisik, M.N. 1973. Radiation Transfer and Interactions with Conduction and Convection. Wiley-Interscience Publication USA.
  25. Tak, S.S. and Kumar, H. 2006. MHD free convection flow with viscous dissipation in a vertical wavy channel. Ultra Scientist of Physical Sci. 18(2006) (2M), 221-232.
  26. Kumar, H. 2011, Heat transfer with radiation and temperature dependent heat Source in MHD free convection flow confined between two vertical wavy walls. Int. J. of Appl. Math and Mech. 7(2011) (2), 77-103.
  27. Choudhury, R. and Das S. K. 2012. Visco-elastic effects on free convective flow confined between a long vertical wavy wall and a parallel flat wall of equal transpiration. Int. J. of Appl. Engg. Res. 7(2012)(7), 691-706
  28. Choudhury, R. and Das S. K. 2014. Visco-elastic mhd free convective flow through porous media in presence of radiation and chemical reaction with heat and mass transfer. J. of Appl. Fluid Mech. 7(2014) (4), 603-609.
  29. Choudhury, R. and Dey, D. 2010. Free convective visco-elastic flow with heat and mass transfer through a porous medium with periodic permeability. Int. J. Heat and Mass Transfer (Elsevier). 53(2010), 1666-1672.
  30. Choudhury, R. and Mahanta, M. 2009. Free convective MHD flow of a visco- elastic fluid past an infinite vertical channel. Int. J. Appl. Math. 23(2009), 189-203.
  31. Choudhury, R. and Das, U. 2012. Heat transfer to MHD oscillatory visco-elastic flow in a channel filled with porous medium. Physics Research International. 2012, Ar ID 8795537, 5 pages.
  32. Sandeep, N., Reddy, A. V. B. and Sugunamma, V. 2012. Effect of Radiation and Chemical Reaction on Transient MHD Free Convective Flow over a Vertical Plate Through Porous Media. Chem. and Process Engng Res. 2(2012), 1-9.
  33. Subhash, A. M., Joshi, A. and Sonth, R. M. 2001. Heat transfer in MHD visco-elastic fluid flow over a stretching surface. Zeitschrift f r angewandte Mathematikund Mechanik. 81(2001), (10), 691-698.
  34. Suneetha, S., Reddy, N. B. and Prasad, V. R. 2010. Radiation and mass transfer effects on MHD free convective dissipative fluid in the presence of heat source/sink. JAFM, 4(2010) (1), 107-113.
  35. Cogley, A. C. L., Vincenti, W. G. and Gilles, E. S. 1968. Differential approximation for relative heat transfer in a Grey gas near equilibrium;American Institute of Aeronautics and Astronautics. 6(1968) (3), 551-553.
  36. Choudhury, R. and Das, S. K.2012. Visco-elastic free convective flow and heat transfer past an oscillating porous plate in the slip flow regime. Adv. in Theo. and Appl. Math. 7(2012) (4), 403-416.
  37. Choudhury, R. and Das, S. K.2012. Visco-elastic MHD fluid flow over a vertical plate with Dufour and Soret effect. Int. J. of Sci. and Engg. Res. 4(2012) (7), 11-17. Impact Factor: 1.4(2011), ICV (Index Copernicus Value) 2012: 5.27.
  38. Choudhury, R. and Das, S. K.2013. Visco-elastic unsteady MHD flow between two horizontal parallel plates with hall current.”J. of Math. 5(2013) (1), 20-28. doi 10.9790/5728-0512028.
  39. Choudhury, R. and Das, S. K. 2013. Mixed convective visco-elastic MHD flow with ohmic heating.” Int. J. of Comp. Appl. 68(2013) (10), 7-13, Impact Factor:0.814 (2011), doi10.5120/11613-7004
  40. Choudhury, R. and Das, S. K.2013. Visco-elastic mhd oscillatory horizontal channel flow and heat transfer with heat source. Appl. Math. and Comp. Sci. 4(3013) (3), 149-206.
  41. Choudhury, R. and Das, S. K.2016.Visco-elastic mhd flow with heat and mass transfer past a porous plate in presence of chemical reaction and heat generation. Int. Res. J. of Math., Engg and IT (IRJMEIT). 3(2016) (8), 28-43.
  42. Das, S. K. 2016. Radiation and Soret effect on visco-elastic mhd oscillatory horizontal channel flow with heat and mass transfer in presence of chemical reaction and heat source. Int. J. of Engg. Res. and Appl. 6(2016) (8) (Part -4), 39-54.
  43. Ahmed, N., Bhattacharyya, J. and Barua, D. P. 2014. Radiation, Soret and Dufour Effects in MHD Channel Flow Bounded by a Long Wavy Wall and a Uniformly Moving Parallel Flat Wall, Journal of Applied Mathematics and Fluid Mechanics. 6(2014) (1), 1-19.
  44. Walters, K. 1960. The motion of an elastico-viscous liquid contained between co-axial cylinders (II). Quart. J. Mech. Appl. Math. 13(1960), 444-461.
  45. Walters, K. 1962. The solution of flow problems in the case of materials with memories. J. Mecanique. 1(1962), 473-478.
Index Terms

Computer Science
Information Sciences

Keywords

Free convective visco-elastic perturbation technique Prandtl number skin friction radiation.

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