Approximate solutions for power-law fluid flow past a particle at low Reynolds numbers |
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| Institution: | 1. Division of Rehabilitation Sciences, School of Health Professions, University of Texas Medical Branch, Galveston, TX;2. Office of Biostatistics, Department of Preventive Medicine & Community Health, University of Texas Medical Branch, Galveston, TX;1. Istituto Nazionale di Geofisica e Vulcanologia INGV-sezione di Pisa, via della Faggiola 32, 56126 Pisa, Italy;2. Sapienza – Università di Roma, Piazzale A. Moro 5, 00185 Roma, Italy;3. USGS – Volcano Science Center, 345 Middlefield Rd, Menlo Park, CA 94025, USA;1. Dipartimento di Matematica e Geoscienze, University of Trieste, Via Weiss 8, I-34127 Trieste, Italy;2. Dipartimento di Scienze Pure e Applicate, University of Urbino, Campus Scientifico “Enrico Mattei”, Via Cà Le Suore 2-4, 61029 Urbino, Italy;3. Instituto de Geociências, University of São Paulo, Cidade Universitária, Rua do Lago 562, 05508-080 São Paulo, Brazil |
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| Abstract: | A simple perturbation approximation is proposed for describing flow behaviour of particles immersed in a uniform flow and an extensional flow of power-law fluids. The present solution for particles in a uniform flow field is in good agreement with the numerical solution in the literature. Theoretical predictions indicate that the effect of pseudoplasticity on flow around particles in an extensional flow field is small compared with that for particles in a uniform flow field.From the viewpoint of perturbation techniques, existing analytical solutions based on linearization of the equations of motion for particle in a power-law fluid are re-examined. Mass transfer to a power-law fluid from a particle is also discussed. |
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