Dynamics features of biological rheology in mass species and thermal energy utilizing two viscosity models over heated disc

Abstract

In this research, heat energy in the Synovial liquid model is discussed over a heated disk involving external heating source and thermal radiation incorporating two viscosity models with magneto-hydrodynamic inspiration. The concept of (BL) boundary layer is imposed to develop the conservation laws for Synovial liquid with thermal transportation in terms of coupled PDEs. The developed PDEs (partial differential equations) are highly nonlinear, complex and coupled, which are reduced into ODEs (ordinary differential equations) with the help of suitable transformation. The converted ODEs (ordinary equations) are solved numerically via finite element scheme (FES) and grid independent examination is established for three hundred elements. The involvement of numerous emerging parameters has been sketched for velocity and temperature fields. Moreover, heat and mass transfer coefficients are computed numerically and the impact of several involved parameters is discussed. The grid independent survey is established against three hundred elements, which is necessary for a convergent solution. Moreover, augmenting values of Weissenberg number retards the fluid velocity. Temperature field depreciates against escalating values of Prandtl number. Influences of parameters on friction among joints are studied which is utilized to investigate lubricant nature in fluids.