Batchelor’s theory extended to elongated cylindrical or ellipsoidal particles |
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| Institution: | 1. Department of Engineering Mechanics, AML, Tsinghua University, Beijing 100084, China;2. University of South Carolina, 300 Main Street, Room A123, Columbia, SC 29208, USA;3. College of Materials Science and Engineering, Tianjin University, Tianjin 300072, China;1. Ugelstad Laboratory, Norwegian University of Science and Technology, 7491 Trondheim, Norway;2. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada |
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| Abstract: | Extensions to Batchelor’s theory have been derived to take into account different shaped particles while relating extensional viscosity enhancement to three parameters — shape, volume fraction and particle aspect ratio. The extended theory now allows calculation of the extensional viscosity enhancement, at a given volume fraction of particles, for either ellipsoidal or cylindrical particles. The formula improves the predictive capability of Batchelor’s theory when compared with measurements found in the literature for different rod-like polymer solutions. |
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