Thermophoretic particle deposition in the flow of dual stratified Casson fluid with magnetic dipole and generalized Fourier's and Fick's laws

Thermophoretic particle deposition is one of the most rudimentary processes for transferring small particles over a temperature gradient, and it is vital in aero-solution and electronic engineering. In the proposed model, it is intended to explore heat and mass transfer on double-diffusive electrically non-conducting Casson fluid in the two-dimensional flow past a stretching surface with thermophoretic particle deposition. An external magnetic field is subjected to a magnetic dipole. The analysis of Casson fluid along magnetic dipole represents the ferromagnetic fluid. As a consequence of the presence of ferrite particles, the fluid has magnetic properties and is thus a non-Newtonian Casson ferrofluid. Moreover, to enclose heat and mass transfer characteristics, thermal and solutal stratifications are also employed. An eminent bvp4c technique in MATLAB is incorporated to compute these ODEs numerically. Graphical representations of important parameters and their physical behavior are extensively analyzed. The Nusselt number, thermophoretic particle deposition velocity, and drag force coefficient are also addressed graphically. The findings demonstrate that as the values of thermophoretic coefficient and thermophoretic parameter increase, the mass transfer rate diminishes. Further, with the escalating values of the ferromagnetic interaction parameter, the velocity field is reduced but the opposite trend is seen for the thermal field.