Heat and mass transfer analysis of radiative fluid flow under the influence of uniform horizontal magnetic field and thermophoretic particle deposition

A magnetic field is frequently employed to stabilize the flow field in real-world applications of fluid mechanics difficulties. The current study examines the effect of thermophoretic particle deposition on liquid flow across a rotating disk. In this study, a horizontal uniform magnetic field is used to regularize the flow field formed by a rotating disk. The horizontal magnetic field that is applied is not the same as the external upright magnetic field. In addition, the energy equation is investigated when exposed to thermal radiation. Using the conventional von Karman similarity transformations, it is shown that a horizontal magnetic field leads to a similarity system of equations. Using proper transformations, the modeling equations are translated into ordinary differential equations (ODEs). Later, using the shooting technique and the Runge-Kutta-Fehlberg's-fourth-fifth order approach (RKF-45), the obtained system is numerically solved. The obtained numerical findings are then graphically shown and discussed in depth. The results reveal that, the rise in values of magnetic parameter declines the both axial and radial velocity profiles. The rise in values of thermophoretic parameter and thermophoretic coefficient decays the mass transport.

Automated summary

This study examines the effect of thermophoretic particle deposition on liquid flow across a rotating disk using a horizontal magnetic field to regularize the flow field. The energy equation when exposed to thermal radiation is also investigated. Numerical solutions show that an increase in magnetic parameter decreases both axial and radial velocity profiles, while an increase in thermophoretic parameters and coefficient reduces mass transport.