  Viscoelastic microfluidic devices are promising for various microscale
procedures such as particle sorting and separation. In this study, we perform
three dimensional computational investigation of a particle in a viscoelastic
channel flow by considering combined inertial and elastic effects. We calculate
equilibrium positions of the particle in the microchannel for a wide range of
Reynolds and Weissenberg numbers, which are important in the design of
microfluidic devices. The results provide an insight into the motion of cells
and particles and explain the findings of previous experiments. Furthermore, we
suggest new particle behaviors that have not been found before. Ultimately, a
phase diagram is provided to predict the particle dynamics under a wide range
of inertial and elastic effects.
