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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• 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.
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• 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
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• 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
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• 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
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• 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
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• 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.
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• 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
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• 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