Abstract
It is well known that the dissipation of energy in each mechanism can be assessed by scrutinizing entropy generation. It is a dominant tool permitting the energy wastage minimization or the optimal utilization for strengthening system functioning. Keeping the aforesaid pragmatism of entropy in view, we considered a time-dependent mathematical model to formulate the non-linear radiation-based Sisko liquid under thermophoretic and Brownian movements. Robin conditions for heat/mass transportation analyses are introduced. Prandtl's boundary-layer idea is employed for formulation. The governed transport expressions are converted to non-linear differential systems along with allied boundary conditions. Numeric outcomes are acquired through the bvp4c algorithm. Besides, physical elucidation is presented for dimensionless variables. The temperature of Sisko nanofluid has opposite behaviors versus thermal stratification parameter and thermal Biot number. Augmented values of the Eckert number, thermophoresis, and magnetic parameters intensify the temperature of nanofluids. The concentration of Sisko nanofluid dwindles against larger solutal Biot number and Brownian moment parameter. The Bejan number deteriorates for the larger Sisko fluid parameter, while it rises against the Reynold number
. Additionally, we have compared our results with the published work and found outstanding agreement with the published work.