Unsteady Flow Past an Infinite Vertical Cylinder in Rotating Fluid under Influence of Uniform Magnetic Field and Nonlinear Regression Analysis of Nusselt Number

The purpose of this research is the analytical solution of unsteady natural convective flow of a viscous incompressible fluid, which flows over an isothermally heated infinite vertical cylinder. Uniform magnetic field is applied in the direction perpendicular to the cylinder and normal to the direction of the flow. Considering that the pressure is uniform in the whole flow field. The closed-form solutions of the governing dimensionless unsteady coupled linear boundary layer equations are obtained in terms of Bessel functions and modified Bessel functions by Laplace transform method. Velocity and skin-friction profiles are analyzed graphically for different values of Ekman number and magnetic parameter along with the temperature profiles and Nusselt number. The nonlinear regression using Variance analysis (ANOVA) is conducted to the determine the impact of each parameter on the Nusselt number and predicted the optimal values for the Nusselt number. The present study has considered only Newtonian fluids. Future studies will address non-Newtonian liquids.