Influence of particulate thermophoresis on convection heat and mass transfer in a slip flow of a viscoelasticity-based micropolar fluid

•The similarities and differences between viscoelastic and slip behaviors of the micropolar fluids are analyzed.•The multi-dependent thermophoresis procedure is introduced in micropolar fluids transport system.•Both of temperature condition and particle size affect the concentration distribution obviously.•The non-Newtonian material parameter makes velocity profiles intersect with slip condition.