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The settling of spheres in a viscoplastic fluid
Affiliation:1. The University of Adelaide, School of Chemical Engineering, Adelaide, SA 5005, Australia;2. The University of Adelaide, School of Mechanical Engineering, Adelaide, SA 5005, Australia;3. Mayne Pharma, Salisbury South, Adelaide, SA 5106, Australia;1. Department of Surgery, Maastricht University Medical Centre, Maastricht, The Netherlands;2. Department of Medical Oncology, Maastricht University Medical Centre, Maastricht, The Netherlands;3. Nutrim School for Nutrition, Toxicology and Metabolism, Maastricht University, Maastricht, The Netherlands;4. Department of Surgery, Atrium Medical Center, Heerlen, The Netherlands;5. Department of HPB Surgery and Liver Transplantation, Royal Free Hospital- University College London, London, UK;6. Department of General, Visceral and Transplant Surgery, University Hospital RWTH Aachen, Aachen, Germany;7. Euregional Surgical HPB collaboration Aachen-Maastricht, Germany–The Netherlands
Abstract:Results on the variation in the steady settling velocity of spheres with a time interval between experiments in a 0.3 wt% aqueous Carbopol-941 dispersion are reported. Spheres made of stainless steel, brass, ceramics and soda lime glass ranging in nominal diameter from 1/4 to 3/8 in. were used. In each experiment, four identical spheres were permitted to settle in quick succession and the time interval between such sets was varied systematically. It was found that four spheres were sufficient to reach an asymptotic settling velocity which did not change with the addition of more spheres to the set. The dependence of the drag coefficient on a modified Reynolds number based on this asymptotic settling velocity was found to be consistent with that from prior work. The steady terminal settling velocity of the first sphere was found to decrease with increasing time intervals between experiments. The results are consistent with the hypothesis of network damage caused by shear with subsequent healing.
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