The implementation of Cattaneo-Christov heat flux theory for thermal conductivities changing impacts on Jeffery nanofluid flow between two stretchable discs

Abstract

Jeffery nanofluid flow between pair of discs which are taken in parallel form considering the influence of thermal variable conductivity and Cattaneo–Christov heat diffusion flux model is discussed in this article. Fourier's law is modified via variable thermal conductivity for this model. The concerned partial differential equations of proposed problem are transferred into ordinary ones utilizing similarity transformations, and then homotopy analysis method is employed to derive the semi-analytical solution of the problem. The changes in velocity, heat, and concentration profiles are thoroughly analyzed concerning the increasing values of various eminent parameters, highlighting their influence on fluid dynamics, heat transfer, and mass diffusion characteristics. An increasing trend is observed in both radial and velocity components as the stretching ratio parameter increases. The thermal profile upsurges with the enhancement of the Prandtl number and Brownian motion. Similarly, the concentration profile exhibits a rising trend with improving Lewis number and thermophoresis diffusion parameter. The surface drag and Nusselt number are computed at both the upper and lower discs to analyze the impact of the stretching discs. The thermal slip parameter enhances the heat transfer rate of the working fluid at both discs by facilitating efficient thermal energy transport and reducing thermal resistance. Jeffery nanofluid within a pair of discs is applicable in biomedical devices, lubrication systems, and cooling technologies, where precise fluid flow control and enhanced heat transfer are required.