Heat transfer in steady slip flow of tangent hyperbolic fluid over the lubricated surface of a stretchable rotatory disk

The heat transfer phenomenon is beneficial and applicable in engineering, industries, and technological processes. The production of energy with the help of some cheap resources plays a pivotal and renewable role in the industrial development of the countries. Owing to such a significant performance of heat transfer, the steady slip flow and heat transfer of tangent hyperbolic fluid over a lubricating surface of the stretchable rotatory disk is investigated. The effects of MHD, nonlinear radiation, and non-uniform heat source/sink subject to nonlinear boundary conditions are included in motion and energy equations. Because of the lubrication, a thin layer of the power-law fluid is produced at the surface of the disk. Since the lubricating layer is thin, the interfacial conditions are applied at the surface between the fluid and lubricant. The governing nonlinear partial differential equations (PDEs) have been converted into ordinary differential equations (ODEs), which are solved numerically using the Keller-box method. The upshots of pertinent parameters upon the dimensionless distributions of velocity and temperature are deliberated. The surface drag forces and heat transfer rates are computed, and the effects of governing parameters on them are examined. With the enhancement in the slip at the interface and Weissenberg number, the radial and azimuthal velocities enhances close to the disk, whereas they observe two diverse trends for the power-law index. Also, temperature escalates for radiation parameter, and this escalation is prominent for nonlinear radiation.

Automated summary

The study investigates the steady slip flow and heat transfer of tangent hyperbolic fluid over a lubricating surface of the stretchable rotatory disk, considering the effects of MHD, nonlinear radiation, and non-uniform heat source/sink subject to nonlinear boundary conditions. The results show that with enhanced slip at the interface and Weissenberg number, radial and azimuthal velocities increase near the disk, while the power-law index exhibits two different trends. Additionally, temperature rises with the radiation parameter, particularly prominently for nonlinear radiation.