I prepared emulsion of (silicone oil 5cSt + water + triton 100X) and I measured the dynamic viscosity using a rotational rheometer and the emulsion shows shear thinning behavior. However, when I tried to prove this behavior by taking the pressure drop measurements using a pressure sensor along microchannels, and apply power law, I got the power coefficient approximately ~1, which is Newtonian behavior. Has anyone worked on a related topic?