International Journal of Science and Technology (IJST)

A Theoretical Study of Pressure Distribution of Magnetohydrodynamic (MHD) Flow Due to Exponentially Growing Source

Navier-Stokes equations are limited under some approximation when the viscous forces are considerably greater than the inertia forces. When the velocity of a fluid flow is small, viscous forces are dominant. This kind flow is common when the Reynolds number is very small (Re<1), under this condition the inertia terms may be omitted from the equation of motion of the fluid. This type of fluid motion does not occur in practical application but some time may occur in nature. This paper aimed to investigate the pressure distribution of a viscous incompressible fluid due an exponentially growing source between two parallel stationary disks in presence of uniform transverse magnetic field for small Reynolds number (Re<1). Navier-Stokes equations are solved to evaluate pressure distribution of the fluid. Using computer programming, graphs are plotted to study the relative variation of pressure of the fluid with magnetic field parameter such as Hartmann number (M), reduced Reynolds number (Re*) and growing factor of the source (n). Finally results that are found by analyzing graphs due to exponentially growing source are compared with similar work for exponentially decay source. This study investigates the pressure distribution of a viscous, incompressible fluid subjected to an exponentially growing source between two parallel stationary disks, in the presence of a uniform transverse magnetic field, for small Reynolds numbers. The results offer valuable contributions to the understanding of magnetohydrodynamic flows in low-Reynolds-number regimes, with potential applications in both theoretical and natural fluid flow phenomena.