Thermophoretic particles deposition features in thermally developed flow of Maxwell fluid between two infinite stretched disks

The magneto-hydrodynamic steady Maxwell liquid flow generated due to the stretching of two infinite disks is characterized in this work. The aspects of thermophoretic diffusion and thermophoretic deposition of particles are accounted. The radiative effects are implemented in the energy expression through the use of Rosseland's approximation. The governed equations of involved physical phenomenon are converted into dimensionless forms via suitable parameters. The analytical solution expressions of the resulting problem are computed by the homotopy analysis procedure. The numerical benchmark for both the cases of upper and lower plate is made to elaborate the coefficient of skin-friction and Nusselt and Sherwood numbers. It is evaluated that the enhancement in both magnetic and radiation parameters have remarkable control on temperature of liquid and concentration of nanoparticles. The increase in parameter of thermophoretic diffusion caused an enhancement in concentration of nanoparticles and temperature.