Thermophoresis particle deposition in mixed convection three-dimensional radiative flow of an Oldroyd-B fluid

• Three-dimensional mixed convection flow of an Oldroyd-B fluid is modelled.
• Heat and mass transfer are considered in the presence of thermophoresis effects.
• Solutions are presented in the forms of series.
• Comparison in a limiting case with the previous study is computed for the justification of present solutions.

This article describes heat and mass transfer characteristics in three-dimensional flow of an Oldroyd-B fluid. The flow caused is due to bidirectional stretching surface. Radiation effects are taken into account via Rosseland approximation. In addition the thermophoresis effects are considered. Results of velocities, temperature and concentration are constructed. The obtained results are plotted and discussed for interesting physical parameters. We have seen that the increasing values of thermophoretic parameter leads to a decrease in the concentration field and concentration boundary layer thickness. Also it is noticed that the concentration field corresponding to thermophoretic parameter decays quickly in comparison to concentration field for Schmidt number.