This study numerically and experimentally investigates the motion of a shear-thinning liquid droplet on an inclined compliant substrate, highlighting its distinct dynamics compared to Newtonian fluids. Unlike Newtonian liquids with constant viscosity, the shear-thinning droplet exhibits variations in viscosity due to differences in shear rate across its height. These viscosity changes significantly influence its movement, interaction with the substrate, and deformation. Newtonian () and Newtonian , were selected to match the zero- shear viscosity and infinite shear viscosity of the shear-thinning liquid (XG-1) for comparative analysis. The shear-thinning droplet (XG-1) was found to have a velocity 8.76 % lower than the low-viscosity Newtonian () droplet but 528 % higher than the high-viscosity Newtonian () droplet. Consequently, its displacement was found to be 7.5 % lesser than Newtonian () but 171 % greater than Newtonian (). Compared to Newtonian liquids, the shear-thinning droplet exhibits moderate fluctuations in base length and height, as well as an intermediate level of contact angle hysteresis (CAH). The motion of the droplet also affects the deformation in the flexible substrate, leading to 6.5 % greater membrane deflection than Newtonian () but 7.63 % less than Newtonian (). The deformation of the shear-thinning droplet is significant due to rapid viscosity transitions, distinguishing it from the stable shape of a highly viscous Newtonian droplet. Changes in membrane flexural rigidity and droplet size further influence displacement, deformation, and wobbling. Higher flexural rigidity reduces membrane deflection, increases droplet displacement, and reduces droplet CAH, while larger droplets with higher Bond numbers experience greater deformation and instability. These findings provide valuable insights into the role of viscosity variations in droplet dynamics.
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