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What are the causes of branched finger? 


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Branched fingers can be caused by various factors. In the case of viscous and gravitational flow instabilities, the displacement front breaks up into finger-like fluids . Another cause is when water is forced under pressure to displace a high viscosity shear-thinning fluid, resulting in highly ramified fingering structures . Finger formation can also occur in water repellent soils due to hysteresis in the water retention function, leading to the formation of high-velocity flow paths . Additionally, when a viscous liquid bridge between two parallel substrates is stretched, its interface can become unstable, leading to the emergence of a network of fingers . Fingering patterns can also emerge when circular interfaces of strain-rate-softening fluids displace less viscous fluids in extensionally dominated flows .

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The causes of branched fingers in the experiment are the displacement of less viscous fluid by strain-rate-softening fluids in extensionally dominated flows.
The causes of branched finger formation in a viscous liquid bridge stretched by an accelerating substrate are studied experimentally and analyzed theoretically.
The causes of branched finger formation are hysteresis in the water retention function and the shape of the main wetting and drainage branches.
The causes of branched fingers are viscous and gravitational flow instabilities.
The causes of branched fingers in viscous fingering are the splitting of leading finger tips and diffusion limited growth.

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