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A two-dimensional model of the flow of ordered suspensions of rods
Institution:1. Department of Metallurgical and Materials Engineering, Colorado School of Mines, Golden, CO 80401, USA;2. Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, IL 61801, USA;3. Department of Materials Engineering, Indian Institute of Science, Bangalore 560012, India;4. Department of Mechanical Engineering, Colorado School of Mines, Golden, CO 80401, USA
Abstract:Analysis of creeping flow over an array of freely-rotating cylinders sandwiched between two sliding parallel plates is studied using a finite-difference and a least-squares numerical technique. The flow pattern was found to be very much influenced by the cylinder-to-cylinder spacing and by the gap width of the parallel plates. The shear stress on the cylinder surface and on the parallel plates was found to be a strong function of position. The viscosity of a suspension composed of an array of freely-rotating cylinders was deduced from the applied shear rate and the evaluated shear stress on the parallel plates. Experimental results confirm the numerical findings.
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