Influence of Volume Fraction of Dust Particles on Dusty Fluid Flow through Porous Rectangular Channel

K R Madhura, D S Swetha "Influence of Volume Fraction of Dust Particles on Dusty Fluid Flow through Porous Rectangular Channel", *International Journal of Mathematics Trends and Technology (IJMTT). *V50(5):261-275 October 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

**Abstract**

This article provides a novel solutions to
unsteady
ow of dusty
uid passing through porous rect-
angular channel with the consideration of volume frac-
tion of dust particles. Effects of magnetic parameter,
porous parameter and volume fraction of dust particles
on both
uid and dust velocity profiles under different
boundary conditions are analysed. Results are exhibited
both analytically and numerically after solving the non-
dimensional governing equations using Laplace transform,
Fourier transform and Crank-Nicolson methods. Mathlab
software is used to obtain numerical computation. The
eects of pertinent parameters are also exhibited in tab-
ular and graphical forms. For the interest of physical
and engineering field, skin friction at the boundaries are
calculated.

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**Keywords**

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