Comprehensive study of thermophoretic diffusion deposition velocity effect on heat and mass transfer of ferromagnetic fluid flow along a stretching cylinder

The aim of this current investigation is to discuss the flow of a ferromagnetic viscous liquid with thermophoretic particle deposition over a stretching cylinder on taking account of a uniform heat source/sink. The non-dimensional form of equations for described flow is attained by using appropriate similarity variables. The solution of the resultant governing system is obtained by Runge-Kutta-Fehlberg's fourth-fifth order method by adopting the shooting technique. The outcomes of dimensionless quantities are discussed on velocity, temperature, and concentration fields by using suitable graphs. Result reveals that the upshot in values of ferromagnetic interaction parameter increases the thermal gradient but a converse trend is detected for inclined values of heat source/sink parameter. An increase in thermophoretic parameter and thermophoretic coefficient declines the thermophoretic particle deposition velocity. The imposing of magnetic dipole and particle deposition has a receding impact on the rate of heat and mass transfers respectively. Excellent comparison is established through a tabular description to validate the adopted numerical procedure.

Automated summary

This study discusses the flow of a ferromagnetic viscous liquid with thermophoretic particle deposition over a stretching cylinder, taking into account a uniform heat source/sink parameter. The effects of ferromagnetic interaction parameter, heat source/sink parameter, thermophoretic parameter, and magnetic dipole on the velocity, temperature, and concentration fields are examined in detail. Results show that an increase in ferromagnetic interaction parameter leads to increased thermal gradient, while a converse trend is observed for inclined values of the heat source/sink parameter. The imposition of magnetic dipole and particle deposition have diminishing effects on the rates of heat and mass transfers.