{'fraction_non_alphanumeric': 0.03348837209302326, 'fraction_numerical': 0.0027906976744186047, 'mean_word_length': 5.011173184357542, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Control and suppression of viscous fingering displacing non-Newtonian fluid with time-dependent injection strategies

We explore the stabilization mechanism of the fluid-fluid interface in the radial Hele-Shaw cell, displacing a non-Newtonian fluid. It is possible to stabilize the interface following a non-linear injection rate, Q ~ t-(2- n)/(2+ n), which is related to the displaced fluid rheology (ᵅB;: power-law index). This suggests the absence of fingering at constant injection when n ~ 2. We propose a quantitative criterion to control the pattern formation and suppress fingering, through the dimensionless parameter J as a function of the physical and operating parameters, which is applicable for a generalised shear thinning fluid. The parameter J is related to the capillary number in the context of the power-law fluid, relating to the viscous and interfacial forces. The fingering morphology at higher order modes are affected by non-linear effects. The results are non-intuitive and we have shown a feasible approach towards long term fingering stabilization