Unsteady Flow of a Dusty Visco-Elastic Fluid Through an Incliend Channel

Geetanjali Alle, Aashis.S. Roy, Sangshetty Kalyane, Ravi M Sonth

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Department of Mathematics, K.C.T. Engineering College, Gulbarga, Karnataka, India.

DOI: 10.4236/apm.2011.14033                

Abstract

The present discussion deals with the study of an unsteady flow of a dusty fluid through an inclined channel under the influence of pulsatile pressure gradient along with the effect of a uniform magnetic field. The analytical solutions of the problem are obtained using variable separable and Fourier transform techniques. The graphs drawn for the velocity fields of both fluid and dust phase under the effect of Reynolds number. The velocity profiles for the liquid and the dust particles decreases at different values of time t increases. As the visco-elastic parameter λ increases the velocity of the liquid and the dust particles deceases. When relaxation time parameter σ increases, the velocity of the liquid and dust particles decreases.

Keywords

Dusty Fluid, Pulsatile Pressure Gradient, Velocities of Dust and Fluid Phase, Inclined Channel, Reynolds Number

Conflicts of Interest

The authors declare no conflicts of interest.

References

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