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.