A three-dimensional flow of an Oldroyd-B liquid with magnetic field and radiation effects: An application of thermophoretic particle deposition

This research presents the mass and heat transport phenomenon for 3D flow of Oldroyd-B fluid subject to Soret and the Dufour effects. Additionally, the impact of thermal radiation and magnetic force are also encountered. The bidirectional moving surface is considered to originate the thermally developed flow. The numerical determination of formulated expressions is worked out by following the Runge-Kutta-Fehlberg scheme. The solution validity and ensure is checked. It is shown that the rising estimations of Deborah number for the relaxation time have a positive impact on temperature rate. The growing values of Soret number improves the mass transport, but reverse behavior is obtained for rising thermophoresis parameter. Higher range of radiative variable improves the heat transport rate, but reverse behavior is seen for escalating values of Dufour number.

Automated summary

This research investigates the mass and heat transport phenomenon in 3D flow of Oldroyd-B fluid with the effects of Soret and Dufour. Thermal radiation and magnetic force are also considered. Numerical calculations using the Runge-Kutta-Fehlberg scheme show that increasing Deborah number improves temperature rate, while increasing Soret number enhances mass transport. On the other hand, increasing radiative variable improves heat transport rate, but increasing Dufour number has the opposite effect.