Impacts of thermal conductivity and viscosity variation parameters on non-Newtonian nanofluid flow with mixed convection and chemical reaction features

Mixed convection Couette flow of biviscosity nanofluid is constructed in the presence of viscosity and thermal conductivity variation parameters. A flow is affected by chemical reactions and heat sources. Using a combination of thermophoresis and Brownian motion features, Buongiorno's framework for nanofluids was used to establish mathematical formulas related to flow, heat/mass transfer under the impact of viscous dissipation, double viscosity, and thermal conductivity fluctuation. Governing equation describes the fluid model in a system of ordinary differential equations (ODEs), and then non-dimensional quantities and Boussinesq’s approximations are used to obtain a new system of ODEs. The leading system’s results are constructed by a semi-analytical method called homotopy perturbation method (HPM). All obtained graphical results are proposed in terms of (Formula presented.) versus different physical quantities of fluid distributions. Outcomes show that the growth in variable thermal conductivity causes a reduction in fluid velocity and temperature, while it causes a rise in nanoparticle concentration. Applications like lubrication, drug carriers and polymer processing can get more opportunities through studies of the present system. © 2024 Informa UK Limited, trading as Taylor & Francis Group.