Heat and Mass Transfer of Dusty Casson Fluid over a Stretching Sheet

Tiny particles in the Earth's atmosphere create dust that originates from various sources, including air pollution. The resulting dust contains numerous dust particles, and the size of these dust particles is sometimes homogeneous or irregular. The presence of dust in any kind of fluid in nature is a normal thing and this matter can no longer be ignored. Considering this fact, heat and mass transfer of the dusty Casson fluid flow over a permeable stretching sheet is investigated incorporating heat dissipation, magnetic and radiative fields, heat source or sink, and the effect of temperature gradient referred to as Dufour effect and thermophoresis stated as Soret effect. In this research, similarity analysis is used to transform the nonlinear governing partial differential equations into a set of nonlinear ordinary differential equations (ODE). Then the nonlinear ODE systems have been formulated using the finite difference method with the central difference technique and then solved. In addition, a comparison with other research findings is presented, which yields a quantitatively good agreement. Results revealed that the Eckert number, surface temperature parameter, conduction-radiation parameter, and Dufour effect lead to a substantial increase in the fluid flow rate and fluid temperature, the temperature of the dust particles, and momentum and thermal boundary layers. The magnitude of the drag coefficient becomes stronger with the augmentation of the Hartmann number, the mass concentration of dust particles, and the suction parameter. Moreover, an increase in the surface temperature parameter, conduction-radiation parameter, mass concentration of dust particles, and non-Newtonian Casson fluid parameter enhances the local Nusselt number.