Numerical analysis of generalized Fourier's and Fick's laws for micropolar Carreaufluid over a vertical stretching Riga sheet

The present analysis is considered the Micropolar Carreaufluid model over a vertical Riga sheet. Cattaneo-Christov heat flux theory is utilized rather than classical Fourier's law to scrutinize the heat transfer specification. The scheme of developing partial differential equations is turned into ordinary differential equations (ODEs) by employing specific transformations. The numerical scheme is implemented to solve the present model. This article includes the numerical and graphical description of numerous physical parameters on the velocity profile, microrotation, concentration profile, and temperature distribution. The values of skin friction were found to be bigger, but couple stress values were found to be lesser due to boosting values of lambda c${\lambda _c}$ (buoyancy ratio term). The velocity function gradually improved due to improvement in M (modified Hartmann number). The velocity function gradually improved due to improvement in K (micropolar parameter). The gamma (Dimensionless parameter) slowly augmented as well as the velocity function declined. The temperature function curves and gamma(1) are found to be the same behavior of amassed increasingly.

Automated summary

The present study focuses on the analysis of the Micropolar Carreaufluid model over a vertical Riga sheet using the Cattaneo-Christov heat flux theory. The partial differential equations are transformed into ordinary differential equations through specific transformations, and a numerical scheme is employed to solve the model. The results reveal that the skin friction increases while the couple stress decreases with the boosting values of the buoyancy ratio term. Both the velocity and temperature functions exhibit consistent behavior with the variations in the dimensionless parameter.