Impact of thermophoretic particle deposition on heat and mass transfer across the dynamics of Casson fluid flow over a moving thin needle

In this current study, the steady, two-dimensional flow of an incompressible Casson fluid along a horizontal thin moving needle is investigated. Influence of Soret/Dufour effect and thermophoretic particle deposition is considered to examine the heat and mass transport analysis. This model finds application in designing of new medical equipment's for cell delivery to the central nervous system. The efficient Runge-Kutta Fehlberg fourth fifth order method by adopting shooting technique is employed to solve the reduced non-dimensional form of equations. The impact of several non-dimensional parameters on concentration, velocity and thermal fields are discussed with the help of suitable graphs. Also, friction factor, heat passage rate and thermophoretic particle deposition velocity are analyzed graphically. Results reveal that, increase in Dufour number declines heat transfer but opposite behaviour is depicted in mass transfer. The increasing values of thermophoretic parameter improves the mass transfer. Thermophoretic diffusive deposition velocity increases for rising values of thermophoretic parameter.