Turbulent magnetic flux and heat transfer amplitude of unsteady MHD fluid using solar energy and joule heating with thermally stratified medium and gravitational conditions
Zia Ullah, Md. Mahbub Alam, Asifa Ilyas, Essam R. El‐Zahar, Sana Shahab, Laila F. Seddek, M. D. Alsulami, Feyisa Edosa Merga
Abstract
Radiating convective heat transfer is most important mechanism of heat transition in Nano channels such as thin film, microchips and micro-machines, micro-milling, automotive, cooling of electronic ships, and routing of composite materials. This article presents a computational examination of heat and magnetic flux along vertical cone using joule heating, solar radiation and magneto-hydrodynamics (MHD) effects. The impact of thermally stratified medium and reduced gravity is also used to check the behavior of skin friction, oscillating heat flux and fluctuating magnetic flux. The governing partial differential equations are converted into dimensionless form by introducing appropriate non-dimensional variables. Approximate numerical solutions of governing equations are obtained through the implicit finite difference method. The FORTRAN software program is used to display graphical and quantitative results of transformed algebraic equations. The primary goal of current work is to discuss and investigate the effects of mixed convective factor ( ), joule heating factor ( ), radiation factor ( ), Prandtl factor ( ) reduced gravity ( ), and thermal stratification parameter ( ) for heat and magnetic flux enhancement. Graphical outcomes of velocity, temperature profile, and magnetic field profile, time-dependent skin friction, oscillatory thermal flux, and fluctuating magnetic flux are explored. The notable amplitude in fluid velocity and variation in temperature field are deduced for high values of thermal stratification and magnetic Prandtl parameters. For lower gravity value, the remarkable increment in velocity and magnetic field strength is depicted. Large damping and amplitude in oscillating friction rate, oscillating-heat flux and oscillating-magnetic flux is found as joule heating, thermal radiation and Prandtl number enhances. The small layer of oscillating-heat flux is plotted for small parametric choice of Prandtl number.