Flow and heat over a rotating disk subject to a uniform horizontal magnetic field

Magnetic field is often applied to stabilize the flow field in real life applications of fluid mechanics problems. In the present work, it is employed a horizontal uniform magnetic field to regularize the flow field triggered due to a rotating disk. The energy equation is also studied subjected to such a horizontal magnetic field. The applied horizontal magnetic field is different from the well-known applied external vertical magnetic field. It is shown that the horizontal magnetic field leads to a similarity system of equations with the help of the traditional von Karman similarity transformations. The effects of such a magnetic field on the development of velocity and temperature fields are then numerically investigated. The existence of exact series solutions in terms of decaying exponential functions is further discussed. The critical roles of horizontal magnetic field on the physical quantities involving the local wall shears, torque and the heat transfer rate are finally highlighted.

Automated summary

This study investigates the application of a horizontal uniform magnetic field in stabilizing the flow field and its effects on the energy equation. With the help of traditional von Karman similarity transformations, a similarity system of equations is derived, and the development of velocity and temperature fields under the magnetic field is numerically investigated. The existence of exact series solutions using decaying exponential functions is discussed, and the critical roles of the horizontal magnetic field on physical quantities are highlighted.