Study on time-dependent Oldroyd-B fluid flow over a convectively heated surface with Cattaneo-Christov theory

The time-dependent two-dimensional Oldroyd-B fluid flow is investigated in the presence of generalized Fourier's and Fick's laws. The mechanism of heat and mass transport is studied using the Cattaneo-Christov (CC) double diffusion theory, which characterizes the thermal and solutal relaxation factors. In addition, the temperature-dependent thermal conductivity of the fluid is taken into consideration. The modified Fourier's and Fick's approach is used to develop a set of partial differential equations for the flow of an Oldroyd-B fluid as well as thermal and solutal transport. By using the suitable similarity transformations, the governing equations are converted into an ordinary differential equation. To visualize the effects of dimension-less physical constraints on flow and energy transport phenomenon, in the domain [0, infinity) numerical integration is performed with the help of (Mid rich scheme) in Maple software to solve the highly nonlinear ordinary differential equations. The effects of various arising parameters can be seen in the graphs of velocities, temperature, and concentration. According to the findings, the thermal and solutal penetration depth declines for the growing values of flow controlling parameter and Lewis number, respectively. The current results are very similar to those found in the literature.

Automated summary

The time-dependent two-dimensional Oldroyd-B fluid flow is investigated under the influence of generalized Fourier's and Fick's laws. The heat and mass transport mechanism is studied using the Cattaneo-Christov (CC) double diffusion theory, taking into account the thermal and solutal relaxation factors. The thermal conductivity of the fluid, which depends on temperature, is also considered. The flow equations are transformed into ordinary differential equations through suitable similarity transformations, and numerical integration is performed to visualize the effects of dimension-less physical constraints on the flow and energy transport phenomenon. The results show that the thermal and solutal penetration depth decreases with increasing flow controlling parameter and Lewis number, respectively.