Analysis of Hydromagnetic Stagnation Flow through A Confined Cylinder with A Non-Uniform Heat Source

Abstract

Plasma Physics and magnetohydrodynamics are two branches of study that deal with the motion of electrically conducting fluids (gases and liquids) in a magnetic field. The goal of the study is to analytically improve the existing model of fluid flow behaviour. The flow is governed by a non-dimensional formulated equation. A shooting technique is combined with a fourth-order Runge-Kutta integrated scheme to solve dimensionless momentum and energy equations that satisfy smoothness conditions at the boundary layer's edge. The velocity and temperature distributions are graphically represented with the numerical values for Nusselt number and skin friction and discussed to show the impact of various key embodiment characteristics on the flow. The numerical results were statistically analyzed for the purposes of comparison and correlation and to validate the results of earlier researchers. The developed model numerical results for skin friction coefficient is -0.9694 ≤ ≤  4.7293 for stagnation ratio of 0.1 to 3.0 and its Nusselt number is -0.9889 ≤  ≤  1.0702  for power law (n) of-2 to 2. Column statistics revealed a good correlation between the numerical results of the developed model and earlier studies. The Nusselt number mean, standard deviation, and standard error were (2.06, 3.17, and 0.957) as the P values (two tailed) (0.2943, 0.2942). When compared to the previous model, the P value of the developed model indicated an improvement and a good correlation. This research will improve our understanding of the design and construction of a bladeless turbine for microscale electrical power generation using a corotating disc viscous flow generator.