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Visco-Elastic Oscillatory Flow in a Porous Channel with Heat Transfer in Presence of Magnetic Field

by Hridi Ranjan Deb
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 185 - Number 2
Year of Publication: 2023
Authors: Hridi Ranjan Deb
10.5120/ijca2023922674

Hridi Ranjan Deb . Visco-Elastic Oscillatory Flow in a Porous Channel with Heat Transfer in Presence of Magnetic Field. International Journal of Computer Applications. 185, 2 ( Apr 2023), 29-32. DOI=10.5120/ijca2023922674

@article{ 10.5120/ijca2023922674,
author = { Hridi Ranjan Deb },
title = { Visco-Elastic Oscillatory Flow in a Porous Channel with Heat Transfer in Presence of Magnetic Field },
journal = { International Journal of Computer Applications },
issue_date = { Apr 2023 },
volume = { 185 },
number = { 2 },
month = { Apr },
year = { 2023 },
issn = { 0975-8887 },
pages = { 29-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume185/number2/32679-2023922674/ },
doi = { 10.5120/ijca2023922674 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:25:06.286564+05:30
%A Hridi Ranjan Deb
%T Visco-Elastic Oscillatory Flow in a Porous Channel with Heat Transfer in Presence of Magnetic Field
%J International Journal of Computer Applications
%@ 0975-8887
%V 185
%N 2
%P 29-32
%D 2023
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this invstigation the oscillatory flow of visco-elastic fluid through a porous channel is considered. The fluid is subjected to a transverse magnetic field also slip velocity at the lower plate is taken into consideration. The vertical channel is maintained at non-uniform temperature The perturbation scheme has been used to solve the equations governing the flow. The expressions for the velocity, temperature, skin-friction have been obtained. The results are illustrated graphically, for various values of flow parameters such as Darcy parameter, suction/injection parameter, magnetic parameter, Grashof number, Prandtl number, thermal radiation parameter, Navier-slip parameter and visco-elastic parameter. It is observed that the visco-elastic parameter plays a significant in role in flow field. The acquired knowledge in this study can be used in blood flow in arteries, oil industry.

References
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  2. Mehmood, A. and Ali,A.(2007). The effect of slip condition on unsteady MHD oscillatory flow of a viscous fluid In a planer channel, Romanian J. Phys. 52 , 85–91.
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  8. Hussain,M., Hayat,T., Asghar,S. and Fetecau,C.(2010) Oscillatory flows of second grade fluid in a porous space, Nonlinear Anal.: Real World Appl. 11, 2403–2414.
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  11. /
  12. Fig. 1:Velocity profile for variation of visco-elastic parameter (d) against the displacement variable y for Gr=4, M=3,Pr=.71,ω=π, t=1,s=.2,Da=.1,R=.3,h=.5,,L=1.
  13. /
  14. Fig. 2:Velocity profile for variation of Magnetic Parameter(M) against the displacement variable y for for Gr=4,Pr=.71,ω=π, t=1,s=.2,Da=.1,R=.3,h=.5,,L=1,d= -.03
  15. /
  16. Fig. 3:Velocity profile for variation of Grashof number(Gr) against the displacement variable y for for M=3,Pr=.71,ω=π, t=1,s=.2,Da=.1,R=.3,h=.5,,L=1,d= -.03
  17. /
  18. Fig. 4:Velocity profile for variation of Navier slip-parameter(h) against the displacement variable y for for Gr=4, M=3,Pr=.71,ω=π, t=1,s=.2,Da=.1,R=.3,L=1,d= -.03
  19. /
  20. Fig. 5:Velocity profile of for variation of permeability of porous medium parameter(Da) against the displacement variable y for for Gr=4, M=3,Pr=.71,ω=π, t=1,s=.2,R=.3,h=.5,,L=1,d= -.03
  21. /
  22. Fig.6:Velocity profile of dust particle for variation of radiation parameter(R) against the displacement variable y for for Gr=4, M=3,Pr=.71,ω=π, t=1,s=.2,Da=.1,h=.5,L=1,d= -.03
  23. /Fig.7:Variation of Shearing stress (Cf) against Time(t) for for Gr=4, M=3,Pr=.71,ω=π, t=1,s=.2,Da=.1,R=.3,h=.5,L=1.
  24. /
  25. Fig.8: Variation of Shearing stress (Cf) against Time(t) for for Gr=4,Pr=.71,ω=π, t=1,s=.2,Da=.1,R=.3,h=.5,,L=1,d= -.03
  26. /
  27. Fig.9: Variation of Shearing stress (Cf) against Grashof number(Gr) for M=3,Pr=.71,ω=π, t=1,s=.2,Da=.1,R=.3,h=.5,,L=1,d= -.03
Index Terms

Computer Science
Information Sciences

Keywords

visco-elastic porous medium oscillatory slip effects skin-friction.

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