Computational study of biological fluid in bio-thermal and solute mechanisms using Troian and Thomson slip conditions: a study of Xue and Yamada-Ota models

In the recent era, researchers have paid much attention to thermal and mass transportation comprising variable thermophysical properties. This research addresses the heat energy and species in synovial fluid over a heated two-dimensional stretched sheet by utilizing two viscosity models in the transport phenomenon. A model of Xue and Yamada-Ota nanofluid is utilized with Troian and Thomson slip conditions. Thermal and mass transportation is modeled with variable thermal conductivity, temperature-dependent diffusion coefficient, heat source/absorption, Soret and Dufour effect, and chemical reaction. The phenomenon of hybridization is included to improve thermal performance. The involvement of a hybrid mixture is immersed in the synovial fluid to enhance thermal characteristics. The phenomenon of transport of momentum, heat and mass is presented in the form of coupled nonlinear (differential equations). The nonlinear (differential equations) are resolved numerically via finite element methodology. The convergence of the applied algorithm is shown through error analysis, and the impact of various involved parameters is studied to notice the insight physics. The utilization of finite elements is shown by tabulating the dimensionless stress, heat, and mass transfer coefficients.