Flow of Oldroyd-B fluid caused by a rotating disk featuring the Cattaneo-Christov theory with heat generation/absorption

This article presented the Cattaneo-Christove heat and mass flux theories in the flow of Oldroyd-B fluid over a rotating disk. The flow configuration is due to the rotating as well as stretching of the disk. The heat generation/absorption and chemical reaction are also considered. For the formulation of heat and mass equations, the Cattaneo-Christov theories are used rather than Fourier's and Fick's laws. The von Karman's transformations are used to convert the partial differential equations into non-dimensional ordinary differential equations. The analytical series solutions are obtained by utilizing the homotopy analysis method (HAM) in Mathematica software. The graphical results are achieved in the form of velocity fields, temperature and concentration distributions. Results show that the temperature of the Odroyd-B fluid rises when the magnetic field parameter increases in some specific range. Further, the velocities show a reducing behavior against magnetic field parameter. It is observed that the temperature reduces as thermal relaxation time parameter increases. It is also be mentioned that the solutal relaxation time parameter is influenced on concentration distribution in decreasing trend.

Automated summary

The article introduces the Cattaneo-Christov heat and mass flux theories in the flow of Oldroyd-B fluid over a rotating disk, using it to solve heat and mass equations. Analytical solutions for velocity, temperature, and concentration distributions are obtained, showing that the temperature of the Odroyd-B fluid increases with the magnetic field parameter within a specific range. Additionally, velocities decrease with the magnetic field parameter, and temperature decreases as the thermal relaxation time parameter increases, while the solutal relaxation time parameter influences concentration distribution in a decreasing trend.