Bioconvective Unsteady Casson Hybrid Nanofluid Flow on a Variable Darcy Regime Between Two Rotating Disks With Variable Heat Source

ABSTRACT This study carries significant consequences in various engineering applications, such as cooling rotating disk surfaces, improving chemical reactor performance, and designing filtration systems. Considering these main applications in view, the aim of this study is to investigate time‐dependent Casson hybrid nanofluid flow on a permeable surface through two spinning circular plates. The flow is affected by numerous flow constraints along with a nonlinear chemical reaction. The main equations have been evaluated by using the homotopy analysis method (HAM). As a result of this work, it has been revealed that the axial flow has escalated with an increase in the suction parameter and stretching factor at the lower plate, whereas it declines with an increase in the stretching factor at the upper plate. Thermal profiles increase with an increase in the heat source factor, Eckert number, and stretching factors at the lower and upper plates. Increasing both disks' stretching parameters enhances convective mixing but thickens the thermal layer at the boundary by drawing more fluid into motion, reducing the wall temperature gradient and thus lowering the profiles . An excellent agreement is found among the results established by the HAM solutions.