Von-Karman rotating flow in variable magnetic field with variable physical properties

The steady incompressible slip flow with convective heat transport under the impact of a variable magnetic field has been taken into an account over a revolving disk. The temperature dependent viscosity, density, and thermal conductivity has been scrutinized. The obtained system of nonlinear differential equations governing the induced magnetic field, steady flow, and heat transmission has put down in polar cylindrical coordinates. The subsequent arrangement of nonlinear PDEs are subside into dimensionless system of ordinary equations, while making use of similarity abstraction. The modeled equations are tackled through Homotopy Analysis Method (HAM). The skin fraction coefficient, heat transmission rate, and Nusselt number (skin effects coefficient) are deliberated. From the results, It can be perceived that the slip factor effectively controls the heat and the flow characteristics. The influence of dimensionless numbers such as Batcheler number Bt and magnetic strength R-3 and R(4 )are explored and shown graphically. Further the out-turn of Prandtl number, relative temperature difference, suction parameter, and slip factor on the temperature fields and velocity profile are discussed.

Automated summary

The study explores the impact of a variable magnetic field on steady flow and convective heat transfer over a revolving disk, analyzing the influence of temperature-dependent properties on fluid characteristics and utilizing similarity abstraction for mathematical modeling. Results indicate that the slip factor effectively controls heat and fluid characteristics, with the effects of dimensionless numbers shown graphically.