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Reseach Article

Effects of Variable Viscosity and Thermal Conductivity on the MHD Flow of Micropolar Fluid on a Continuous Moving Surface

by Surajit Dutta, G. C. Hazarika
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 170 - Number 9
Year of Publication: 2017
Authors: Surajit Dutta, G. C. Hazarika
10.5120/ijca2017914942

Surajit Dutta, G. C. Hazarika . Effects of Variable Viscosity and Thermal Conductivity on the MHD Flow of Micropolar Fluid on a Continuous Moving Surface. International Journal of Computer Applications. 170, 9 ( Jul 2017), 46-53. DOI=10.5120/ijca2017914942

@article{ 10.5120/ijca2017914942,
author = { Surajit Dutta, G. C. Hazarika },
title = { Effects of Variable Viscosity and Thermal Conductivity on the MHD Flow of Micropolar Fluid on a Continuous Moving Surface },
journal = { International Journal of Computer Applications },
issue_date = { Jul 2017 },
volume = { 170 },
number = { 9 },
month = { Jul },
year = { 2017 },
issn = { 0975-8887 },
pages = { 46-53 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume170/number9/28102-2017914942/ },
doi = { 10.5120/ijca2017914942 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:18:04.760649+05:30
%A Surajit Dutta
%A G. C. Hazarika
%T Effects of Variable Viscosity and Thermal Conductivity on the MHD Flow of Micropolar Fluid on a Continuous Moving Surface
%J International Journal of Computer Applications
%@ 0975-8887
%V 170
%N 9
%P 46-53
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The effects of variable viscosity and thermal conductivity on the MHD flow of micropolar fluid on a continuous moving surface in the presence of a transverse magnetic field are studied considering the viscosity and thermal conductivity as the inverse linear functions of temperature where the microinertia density is assumed to be variable and not constant, as many other earlier published papers. Also, the viscous dissipation effect is taken into account. The partial differential equations governing the flow and heat transfer of the problem are transformed into dimensionless form of ordinary differential equations by using similarity substitutions. The governing boundary value problems so obtained are then solved numerically using Runge-Kutta method. The effects of various parameters viz. viscosity parameter, thermal conductivity parameter, magnetic parameter, coupling constant parameter, Eckert number and Prandtl number on velocity, micro-rotation, temperature field and micro-inertia density are studied and results are presented graphically. The co-efficient of skin-friction and Nusselt number are also computed and presented in tabular form.

References
  1. Abd El-hakiem M., Modather M., Abdou M, The effect of variable viscosity on MHD natural convection in micropolar fluids, Int. J. Appl. Mech. Engg., 11, 2( 2006), pp. 301-320.
  2. Eringen A.C., Simple micro fluids, Int. J. Eng. Sci., 2 (1964) pp. 205-217
  3. Eringen A.C., Theory of micropolar fluids, J. Math. Mech., 16, (1966), pp.1-18
  4. Eringen A.C., Theory of micropolar fluids, J. Math. Anal. Appl., 38(1972), pp.480- 496
  5. Gorla R.S., Heat transfer in micropolar boundary layer flow over a flat plate, Int. J. Eng. Sci., 21 (1983), pp. 791-796
  6. Gorla R.S.R., Combined forced and free convection in micropolar boundary layer flow on a vertical flat plate, Int. J. Engng. Sci., 26, 385-391, 1988.
  7. Gorla R.S.R., Takhar H.S., Slaouti A., Magneto hydrodynamic free convection boundary layer flow of a thermo micropolar fluid over a vertical plate, Int. J. Eng. Sci., 36(1998) pp. 315-327
  8. Guram G.S., Smith A.C., Stagnation flow of micropolar fluids with strong and weak interactions, Comp. Math. With Appl., 6, 213-233, 1980
  9. Hoyt J.W., Fabula A.G., The effect of additives on fluid friction, U S Naval Ordinance Test Station Report, 1964
  10. Ishak A., Nazar R., Pop I., Flow of a micropolar fluid on a continuous moving surface, Arch. Mech., 58,6,(2006), pp.529-541
  11. Khound P.K., Hazarika G.C., The effect of variable viscosity and thermal conductivity on liquid film on an unsteady stretching surface, Proc. of 46th Annual Tech. Session, Ass Sc. Soc. 2000, pp. 47-56
  12. Lai, F.C. and Kulacki, F.A., The effect of variable viscosity on convective heat and mass transfer along a vertical surface in saturated porous medium, Int. J.Heat and Mass Transfer 33, 1028-1031
  13. Muthucumaraswami R., Sundar M., Subramonium V.S.A., Magnetic field effects on flow past an accelerated isothermal vertical plate with heat and mass diffusion, Annals of faculty Engineering, Hunedoara- Int. J. of Eng., 2012,pp.177-180
  14. Modather M., Abdou M., Roshdy El-Zahar E., Variable viscosity effect on heat transfer over a continuous moving surface with variable internal heat generation in micropolar fluids, Appl.Math. Sci, 6,128, 2012, pp. 6365-6379
  15. Peddieson J., Mecnitt R. P., Boundary layer theory for a micropolar fluid, Recent Adv. Engng. Sci., 5 (1997) pp.405-425
  16. Rajesh V., MHD free convection flow past an accelerated vertical porous plate with variable temperature through a porous medium, Acta Technica Corviniensis, Bulletin and Engineering, pp.91-96
  17. 17. Salem A. M., Odda S. N., Influence of variable viscosity and thermal conductivity on flow of micropolar fluid past a continuously moving plate with suction or injection, The Korean society for Ind. Appl. Math., 2005
  18. Sarma U., Hazarika G. C., Effects of variable viscosity and thermal conductivity on heat and mass transfer flow along a vertical plate in the presence magnetic field, Int. J. Phy. Education,
  19. Sarma U., Hazarika G. C. Effects of variable viscosity and thermal conductivity on combined free-forced convection and mass transfer flow passed a vertical porous plate, Antarctica J. Math., 7(4), 2010, pp.461-472
  20. Soundalgekar V.M., Takhar H.S., Flow of micropolar fluid past a continuously moving plate with vriable spin gradient viscosity, Acta Mech., 131, 139-151, 1998
  21. Vogel W.M., Patterson A.M., An experimental investigation of additives injected into the boundary layer of an underwater body, Pacific Naval Lab. of the Defence Res. Board of Canada, Report 64-2, 1964.
Index Terms

Computer Science
Information Sciences

Keywords

Micropolar fluid variable viscosity and thermal conductivity MHD Flow