Impact of Variable Magnetic Field on Heat and Mass Transfer in Squeezing Flow between Two Concentric Circular Cylinders by Shooting Technique

This research investigates the phenomena of squeezing flow that occurs between two concentric circular cylinders with a variable time magnetic field and heat sources. A comprehensive mathematical model is developed based on modified Navier-Stokes equations, Maxwell’s equations, and coupled energy and mass transfer equations. The system of partial differential equations is converted into ordinary differential equations using similarity transformations and solved numerically by the RKF method and Newton-Raphson’s in Maple. The results are validated by the Parametric Continuation Method presented in previous literature, and it is compared with the computed outcomes which were found to be in good agreement. The results indicate that the Lorentz force notably decreases fluid velocity, while an increase in the squeezing parameter modifies flow characteristics by affecting temperature and concentration distributions. Heat absorption reduces the liquid temperature but increases velocity. Higher Prandtl and Schmidt numbers enhance heat and mass transfer efficiency. This research provides valuable insights into the interplay between magnetic fields, heat sources, and fluid flow dynamics, offering practical applications in Magnetohydrodynamics, energy transport, and advanced industrial processes. The results establish a foundation for optimizing heat and mass transfer in complex flow systems under variable magnetic conditions.