  Due to their nature, using shear thickening fluids (STFs) in engineering
applications has sparked an interest in developing energy-dissipating systems,
such as damping devices or shock absorbers. The Rheinforce technology allows
the design of customized energy dissipative composites by embedding
microfluidic channels filled with STFs in a scaffold material. One of the
reasons for using microfluidic channels is that their shape can be numerically
optimized to control pressure drop (also known as rectifiers); thus, by
controlling the pressure drop, it is possible to control the energy dissipated
by the viscous effect. Upon impact, the fluid is forced to flow through the
microchannel, experiencing the typical entry flow until it reaches the fully
developed flow. It is well-known for Newtonian fluid that the entrance flow is
responsible for a non-negligible percentage of the total pressure drop in the
fluid; therefore, an analysis of the fluid flow at the entry region for STFs is
of paramount importance for an accurate design of the Rheinforce composites.
This analysis has been numerically performed before for shear thickening fluids
modelled by a power-law model; however, as this constitutive model represents a
continuously growing viscosity between end-viscosity plateau values, it is not
representative of the characteristic viscosity curve of shear thickening
fluids, which typically exhibit a three-regions shape
(thinning-thickening-thinning). For the first time, the influence of these
three regions on the entry flow on an axisymmetric pipe is analysed. 2D
numerical simulations have been performed for four STFs consisting of four
dispersions of fumed silica nanoparticles in polypropylene glycol varying
concentration (7.5-20wt%) modelled by Khandavalli, et al. [1].
