Stability Analysis of Dual Solutions of Convective Flow of Casson Nanofluid past a Shrinking/Stretching Slippery Sheet with Thermophoresis and Brownian Motion in Porous Media

This article considered the steady two-dimensional boundary layer flow of incompressible viscous Casson nanofluids over a permeable, convectively heated, shrinking/stretching slippery sheet surface. The achievements this work are extremely relevant, both theoretically with respect to mathematical modeling non-Newtonian nanofluid heat transfer in engineering systems and cooling applications. combined impacts suction/injection, dissipation, convective heating, chemical reactions were considered. governing modeled partial differential equations conditions transformed into nonlinear ordinary using similarity transformations finally converted first-order initial value problem. Then, technique fourth-fifth order Runge–Kutta–Fehlberg shooting method is used obtain numerical solutions. Moreover, effects different involving parameters on dimensionless temperature, velocity, concentration, as well as, from an viewpoint, local Nusselt number, skin friction, Sherwood number illustrated presented graphs tabular forms. For critical shrinking parameter λ c , existence dual solution within interval id="M2"> < 0 revealed, range escalates suction slipperiness parameters; hence, control stability. increment values porous media, Casson, Forchheimer, slipperiness, heating reduces friction intensifies rates mass transfer. Newtonian (that is, id="M3"> β gets infinity id="M4"> ∞ ), thermal thickness, temperature profile, diminish, whereas concentration mass, increase compared nanofluid. These results excellently agree existing ones.