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

• Published in: Mathematics (Basel) Vol. 11; no. 14; p. 3045
• Main Authors: Ullah, Zia, Altaweel, Nifeen H., Aldhabani, Musaad S., Ghachem, Kaouther, Alhadri, Muapper, Kolsi, Lioua
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.07.2023
• Subjects: amplitude; Amplitudes; Analysis; Boundary conditions; Circular cylinders; Differential equations; Fluid flow; Food science; Force and energy; Heat exchangers; Heat transfer; Inclination angle; Investigations; Magnetic fields; Magnetic flux; magnetized cylinder; Nuclear facilities; Nuclear power plants; Nuclear reactors; oscillatory heat transfer; Parameters; Partial differential equations; periodic magnetic flux; phase angle; Porous materials; Power plants; Prandtl number; Surface temperature; Temperature; Temperature distribution; Thermal analysis; variable surface temperature; Viscoelasticity
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math11143045

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 β, magnetic force number ξ, buoyancy parameter λ, Prandtl number Pr, and magnetic Prandtl parameter γ 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.