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

K R Madhura; D S Swetha

doi:https://doi.org/10.14445/22315373/IJMTT-V50P543

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 5 | Year 2017 | Article Id. IJMTT-V50P543 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P543

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

K R Madhura, D S Swetha

Citation :

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), vol. 50, no. 5, pp. 261-275, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P543

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.

Keywords

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

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