Quadratic convective slip flow of a viscous dissipative Casson C2H6O2$C_{2}H_{6}O_{2}$—Diamond nanofluid over a stretching sheet

Abstract

The present study explores the slip flow properties of a Casson ethylene glycol ‐diamond (spherical‐shaped particle) nanofluid across a stretched sheet, taking into account the effects of viscous dissipation, nonlinear (quadratic) convection, and the presence of space‐temperature dependent heat sources. The inquiry solves the strongly complicated partial differential equation (PDE) regulating the flow dynamics using an implicit Crank‐Nicolson approach. This is essential because it helps explain how nonlinear convective dissipation affects flow and heat transfer characteristics. In particular, a critical factor is the interaction between viscous dissipation and intense nonlinear convection against the heat source. Additionally, the evaluation prioritizes higher Prandtl numbers, adding further importance to the research. Numerical simulations compared against extant literature reveal excellent agreement. Observations indicate that as Prandtl numbers and volume fractions increase, skin friction tends to rise while the Nusselt number tends to decline. However, intriguingly, at , skin friction begins to diminish, whereas while the volume fraction increases, the Nusselt number grows as well. Steady and unsteady results have been captured and discussed in detail through the graphical plots and tables.