Thin shear boundary layers in flow of hot aluminium |
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| Affiliation: | 1. State Key Laboratory of Natural and Biomimetic Drugs, School of Pharmaceutical Sciences, Peking University, Beijing 100191, PR China;2. Molecular Modeling and Drug Discovery Core for District of Columbia Developmental Center for AIDS Research (DC D-CFAR), Laboratory of Cheminformatics and Drug Design, Department of Pharmaceutical Sciences, College of Pharmacy, Howard University, Washington, DC 20059, USA;1. Key Laboratory of Advanced Process Control for Light Industry (Jiangnan University), Ministry of Education, Wuxi 214122, China;2. School of Science, Jiangnan University, Wuxi 214122, China;1. State Key Laboratory of Metal Matrix Composites, School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. Electron Microscope Unit, University of New South Wales, Sydney, NSW 2052, Australia;3. School of Materials Science and Engineering, University of New South Wales, Sydney, NSW 2052, Australia;1. Research Center of Information and Control, Dalian University of Technology, Dalian 116024, China;2. Department of Mathematics, Jilin University of Chemical Technology, Jilin 132022, China |
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| Abstract: | The flow of hot aluminium in channels is investigated. The constitutive relation considered for the flow stress is the inverse hyperbolic sine function of the Zener–Hollomon parameter. Analytical solutions for the flow are derived. At high strain rates, an exponential velocity profile close to the channel walls is predicted indicating the existence of a thin shear boundary layer characterized by strong shear. The characteristic length scale for the exponential velocity profile is a function of material parameters in the constitutive relation and the inverse of the local pressure gradient. The analytical prediction of a thin shear boundary layer close to the channel walls for large strain rates is consistent with the observed microstructure in an extruded section. |
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