Consequences of Volume Fraction of Dust Particles on Fluid Flow past a Porous Triangular Geometry

D S Swetha; K R Madhura

doi:https://doi.org/10.14445/22315373/IJMTT-V51P529

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 3 | Year 2017 | Article Id. IJMTT-V51P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P529

Consequences of Volume Fraction of Dust Particles on Fluid Flow past a Porous Triangular Geometry

D S Swetha, K R Madhura

Citation :

D S Swetha, K R Madhura, "Consequences of Volume Fraction of Dust Particles on Fluid Flow past a Porous Triangular Geometry," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 3, pp. 215-236, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P529

Abstract

The present study focuses on the impact of volume fraction of dust particles on fluid flow through porous triangular channel. Laplace transform, Fourier transform and Crank-Nicolson methods are applied to the non-dimensional equations of unsteady, laminar, viscous, incompressible flow of dusty fluid in presence of magnetic field under different pressure gradients such as impulsive motion, transition motion and motion for a finite time. Fluid and dust velocity profiles are obtained both analytically and numerically which exhibits the effects of fluid flow for the various pertinent parameters like Reynolds number, Hartmann number, permeability of porous medium and volume fraction of dust particles. Detailed discussions has been carried out for the consequences of physical parameters on fluid flow and presented through tables and graphs. For the numerical computation, the efficient mathematical tool Mathlab is used. Consideration of triangular geometry has been justified by specifying its advantages over other geometries. Finally, skin friction at the boundaries are calculated.

Keywords

Dusty fluid, triangular channel, volume fraction of dust particles, porous medium.

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