Velocity Profile for Magnetohydrodynamic Flow in Straight Horizontal Elliptical Pipe

Abstract

Velocity profile for Magnetohydrodynamic (MHD) fluid flow in a straight long pipe with elliptical cross section has been investigated. Governing equations are partial differential equations comprising Ohm’s law of electromagnetism, θ- component of Navier-Stokes equation, equation of continuity and cross section of the pipe. Navier-Stokes equation is converted into ordinary differential equation utilizing similarity transformation and solved numerically embracing Finite Element Method (FEM). Results are presented in form of tables and graphs and disclose that: When Hartmann number is increased, velocity of the fluid decreases at the centre of the pipe. Raising gravitational force, Reynolds number and half major axis distance, leads to upsurge in fluid velocity at the centre of pipe, though, the surge is little for the last case. Velocity declines towards the periphery of the pipe to zero in all the four cases.