Temperature-dependent viscosity and thermal conductivity in entropy optimized flow

Background: Temperature gradients within the fluid flow can greatly alter the thermophysical characteristics of fluids. Issue: Analysis of such variations is crucial for processes involving high temperature gradients such as crude oil extraction, geothermal systems, glass fiber and machinery lubrication. Objective: The objective of this article is to explore the dynamic features of nanoliquid with variable viscosity and thermal conductivity. Constant magnetic field is exerted. Activation energy and viscous dissipation are considered. Velocity slip conditions are incorporated at the boundary. Stretching sheet of variable thickness creates disturbance in flow. Method: System of ordinary differential equations are derived by utilizing non-similar transformations. NDSolve technique is utilized for solution development. Graphical interpretation for discussions is organized. Results: Here liquid flow decreases for viscosity parameter while inverse scenario is witnessed through thermal field. Higher variable thermal conductivity parameter leads to intensification in temperature field.