Oscillatory Behavior of Heat Transfer and Magnetic Flux of Electrically Conductive Fluid Flow along Magnetized Cylinder with Variable Surface Temperature

The present study deals with electrically conductive fluid flow across a heated circular cylinder to examine the oscillatory magnetic flux and heat transfer in the presence of variable surface temperature. The proposed mathematical formulation is time-dependent, which is the source of the amplitude and fluctuation in this analysis. The designed fluctuating nonlinear computational model is associated with the differential equations under specific boundary conditions. The governing equations are converted into dimensionless form by using adequate dimensionless variables. To simplify the resolution of the set of governing equations, it is further reduced. The effects of surface temperature parameter beta, magnetic force number zeta, buoyancy parameter lambda, Prandtl number Pr, and magnetic Prandtl parameter gamma are investigated. The main finding of the current study is related to the determination of the temperature distribution for each inclination angle. It is seen that a higher amplitude of the heat transfer rate occurs as the surface temperature increases. It is also noticed that the oscillatory magnetic flux becomes more important as the magnetic Prandtl number increases at each position. The present magneto-thermal analysis is significantly important in practical applications such as power plants, thermally insulated engines, and nuclear reactor cooling.

Automated summary

The present study investigates the oscillatory magnetic flux and heat transfer in the presence of variable surface temperature in electrically conductive fluid flow across a heated circular cylinder. A time-dependent mathematical formulation is proposed, which is the source of the amplitude and fluctuation in this analysis. The effects of various parameters, such as surface temperature parameter beta and magnetic Prandtl parameter gamma, are studied.