In this paper, we employ the direct
numerical simulation (DNS)
method for probing three-dimensional, axisymmetric coalescence of
microscale, power-law-obeying, and shear-thinning polymeric liquid
drops of identical sizes impacting a solid, solvophilic substrate
with a finite velocity. Unlike the cases of drop coalescence of Newtonian
liquid drops, coalescence of non-Newtonian polymeric drops has received
very little attention. Our study bridges this gap by providing (1)
the time-dependent, three-dimensional (3D) velocity field and 3D velocity
vectors inside two coalescing polymeric drops in the presence of a
solid substrate and (2) the effect of the drop impact velocity (on
the solid substrate), quantified by the Weber number (We), on the coalescence dynamics. Our simulations reveal that the drop
coalescence is qualitatively similar for different We values, although the velocity magnitudes involved, the time required
to attain different stages of coalescence, and the time needed to
attain equilibrium vary drastically for finitely large We values. Finally, we provide detailed simulation-based, as well as
physics-based, scaling laws describing the growth of the height and
the width of the bridge (formed due to coalescence) dictating the
3D coalescence event. Our analyses reveal distinct scaling laws for
the growth of bridge height and width for early and late stages of
coalescence as a function of We. We also provide
simulation-based coalescence results for the case of two unequal sized
drops impacting on a substrate (nonaxisymmetric coalescence) as well
as results for axisymmetric coalescence for drops of different rheology.
We anticipate that our findings will be critical in better understanding
events such as inkjet or aerosol jet polymer printing, dynamics of
polymer blends, and many more.