Numerical Study of Magnetohydrodynamic Flow of Dusty Fluid Through Different Channels

Madan Lal,Swati Agarwal,Yogendra Kumar

doi:10.26713/cma.v12i4.1593

Madan Lal, Swati Agarwal + Show 1 more

Open Access

https://doi.org/10.26713/cma.v12i4.1593

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Abstract

In this paper, Magnetohydrodynamic (MHD) flow through various channels such as rectangular, hexagonal, octagonal, decagonal, dodecagonal, and tetradecagonal channels of dusty gas and dust particles has been analyzed under the influence of magnetic field parameters and time. Numerical values of the velocity of dust particles and gas were calculated using Laplace transform for a non-dimensional equation. It is observed that for a given value of the magnetic parameter, the velocity of gas and dust particles decreases increases alternately as we move from one channel to another channel and found that for a particular channel, the velocity of gas and dust particles decreases as the value of magnetic field parameter increases. It is also observed that for a given value of the magnetic parameter, the velocity of gas and the velocity of dust particles increase with time. The velocity of dust particles is less than the velocity of the gas.

Highlights

The study of dusty gas in a hexagonal channel was first considered by Sharma and Gupta [11]
The velocity of dusty gas and dust particles is investigated for distinct channels with number of sides N
It is evident from the graphs that for a given value of M, the velocity decreases increases alternately as we increase the sides of channels and found that as time increases, the velocity of gas and dust particles increases

Summary

Introduction

The study of dusty gas in a hexagonal channel was first considered by Sharma and Gupta [11]. Madhura and Swetha [7] have employed Laplace and Fourier transforms and the Crank Nicolson method to obtain the velocities of fluid and dust particles in a porous medium for different values of volume fraction. They found graphically that the nature of flow is parabolic. Kalpana and Madhura [4] deduced that for non-conservative flow velocity of dust particles is lesser than the velocity of the fluid, and the temperature is minimum near the wavy wall and maximum near a flat wall. Madhura and Swetha [6] examined the motion of dusty gas in a hexagonal channel with a time-dependent pressure gradient. We obtained the velocity of gas and dust particles through different channels, namely rectangular channel, hexagonal channel, octagonal channel, decagonal channel, dodecagonal channel, and tetradecagonal channel

Mathematical Formulation and Solution of the Problem

Results and Discussion

Conclusions