Research Article

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

by  Hridi Ranjan Deb
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 185 - Issue 2
Published: Apr 2023
Authors: Hridi Ranjan Deb
10.5120/ijca2023922674
PDF

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 },
                        year    = { 2023 },
                        volume  = { 185 },
                        number  = { 2 },
                        pages   = { 29-32 },
                        doi     = { 10.5120/ijca2023922674 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2023
                        %A Hridi Ranjan Deb
                        %T Visco-Elastic Oscillatory Flow in a Porous Channel with Heat Transfer in Presence of Magnetic Field%T 
                        %J International Journal of Computer Applications
                        %V 185
                        %N 2
                        %P 29-32
                        %R 10.5120/ijca2023922674
                        %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
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Coleman, B.D. and Noll, WArchs ration,(1960) MechAnalysis. 6, 355.
  • Coleman, B.D. and Markovitz, H.(1964) Adv. Appl. Mech. 8, 69.
  • /
  • 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.
  • /
  • 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
  • /
  • 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
  • /
  • 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
  • /
  • 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
  • /
  • 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
  • /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.
  • /
  • 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
  • /
  • 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
No index terms available.
Keywords

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

Powered by PhDFocusTM