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Reseach Article

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

by Hridi Ranjan Deb
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
  1. Makinde,O.D. and Mhone, P.Y.(2005). Heat transfer to MHD oscillatory flow in a channel filled with porous medium, Romanian J. Phys.50, 931–938.
  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.
  3. Adesanya,S.O., Oluwadare,E.O., Falade,J.A. and Makinde,O.D.(2015). Hydromagnetic natural convection flow between vertical parallel plates with time-periodic boundary conditions, J.Magn. Magn. Mater. 396, 295–303.
  4. Falade,J.A., Ukaegbu, Joel C., Egere, A.C. and Adesanya, Samuel O.(2017) MHD Oscillatory Flow Through a Porous Channel Saturated With Porous Medium, Alexandria Engineering Journal 56, 147–152.
  5. Adesanya, S.O. (2015). Free convective flow of heat generating fluid through a porous vertical channel with velocity slip and temperature jump, Ain Shams Eng. J. 6,1045–1052.
  6. Sivaraj,R. and Rushi Kumar,B.(2012) Unsteady MHD dusty viscoelastic fluid Couette flow in an irregular channel with varying mass diffusion, Int. J. Heat Mass Transfer 55 (11), 3076–3089.
  7. Adesanya, S.O. and Gbadeyan, J.A.(2010) A domian decomposition approach to steady visco-elastic fluid flow with slip through a planer channel International, J. Nonlinear Sci. 9, 86–94.
  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.
  9. Coleman, B.D. and Noll, WArchs ration,(1960) MechAnalysis. 6, 355.
  10. Coleman, B.D. and Markovitz, H.(1964) Adv. Appl. Mech. 8, 69.
  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.