Mixed convective flow of Casson nanofluid in the microchannel with the effect of couple stresses: irreversibility analysis

The current cutting-edge modelling involves mixed convection and couple stress influences on the velocity and thermal distribution of the flow of Casson nanomaterial in possession of microchannel. This study elucidates the mass and heat transport of Casson nanomaterial in the upright microchannel in the existence with non-linear thermal radiation, Brownian motion and thermophoresis. Along with the flow, the particle size effects are also taken into consideration. The channel walls facilitate the sucking/injecting the fluid into the microchannel. Viscous dissipation and buoyant forces are deliberated in the study. Slip regime and convective conditions are taken at the boundaries. By making use of velocity and thermal profile, the entropy produced and dominance of heat or fluid friction irreversibilities are analyzed. The obtained equations are non-dimensionalized using non-dimensional entities and further solved using Runge-Kutta Fehlberg 4-5th order procedure together with shooting technique. Illustrations of the graph exemplify the outcomes of the work. The impact of couple stress parameter depicts the depletion of velocity profile as the couple stress takes into consideration the size effect of the particle, which enhances viscosity and hence declines velocity of the flow. The irreversibility in the channel can be achieved to be least when the thermal and solutal Grashof number is kept low.