Finite element analysis on transient MHD 3D rotating flow of Maxwell and tangent hyperbolic nanofluid past a bidirectional stretching sheet with Cattaneo Christov heat flux model

The finite element analysis on the transient magnetohydrodynamic three-dimensional rotating flow of Maxwell and tangent hyperbolic nanofluid flow past a bidirectional stretching sheet with Cattaneo Christov heat flux model has been explored numerically. The thermophoresis and Brownian motion effects are taken into account in the flow governing boundary layer equations. Appropriate similarity transformations are applied for the principal PDEs to transform into nonlinear ODEs. A widely recognized Numerical scheme known as the Finite Element Method is employed to solve the resultant convective boundary layer balances. The portrayal of certain physical parameters on the flow model is portrayed via figures and numerical tables. The temperature and concentration distribution for tangent hyperbolic nanofluid is prominently than that of Maxwell nanofluid, but inverse trend is observed for velocities profiles. An outstanding comparison with existing literature ensures a remarkable accuracy and concludes the rate of convergence is extraordinary for nonlinear differential systems. These examinations are relevant to the field of plastic films, crystal growing, paper production, and cooling of metal sheets.

Automated summary

This study investigates the transient magnetohydrodynamic three-dimensional rotating flow of Maxwell and tangent hyperbolic nanofluid past a bidirectional stretching sheet using finite element analysis. The effects of thermophoresis and Brownian motion are considered in the flow equations, and similarity transformations and the finite element method are applied for numerical solutions. The findings are important for applications in plastic films, crystal growing, paper production, and cooling of metal sheets.