The plane problem of the extrusion of a viscoplastic medium by parallel plates |
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| Institution: | 1. Instituto Nacional de Tecnología Agropecuaria (INTA), Instituto Tecnología de Alimentos, Buenos Aires, Argentina;2. Instituto de Ciencia y Tecnología de Sistemas Alimentarios Sustentables, UEDD INTA CONICET, Buenos Aires, Argentina;3. Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Av. Rivadavia 1917 (C1033AAJ), Ciudad Autónoma de Buenos Aires, Argentina;4. Agencia Nacional de Promoción Científica y Tecnológica, Godoy Cruz 2370, Ciudad Autónoma de Buenos Aires, Argentina;1. Rubber Technology Centre, Indian Institute of Technology Kharagpur, Kharagpur 721302, India;2. Civil Engineering Department, Indian Institute of Technology Kharagpur, Kharagpur 721302, India;3. School of Nano-science and Technology, Indian Institute of Technology Kharagpur, Kharagpur 721302, India;4. ALP Overseas Pvt. Ltd., Neemrana, Alwar 301706, Rajasthan, India;1. Wellcome Centre for Integrative Neuroimaging, FMRIB, Nuffield Department of Clinical Neurosciences, University of Oxford, OX3 9DU, UK;2. Wellcome Centre for Integrative Neuroimaging, Department of Experimental Psychology, University of Oxford, Anna Watts Building, Radcliffe Observatory Quarter, Woodstock Road, OX2 6GG, UK;1. Institute of Geology, Czech Academy of Sciences, Rozvojova 269, Prague, Czech Republic;2. Department of Applied Geophysics, Charles University, Albertov 6, Prague, Czech Republic;3. Geophysical Institute, University of Alaska Fairbanks, 903 N Koyukuk Drive, Fairbanks, AK, USA;4. Institute for Environmental Studies, Charles University, Benatska 2, Prague, Czech Republic;5. Institute of Plant Sciences and Oeschger Centre for Climate Change Research, University of Bern, Altenbergrain 21, CH-3013, Bern, Switzerland;6. Department of Conservation and Research, Bavarian Forest National Park, 94481 Grafenau, Germany;7. Chair of Wildlife Ecology and Wildlife Management, University of Freiburg, Tennenbacher Straße 4, Freiburg, Germany;1. Department of Family Medicine and Primary Care, The University of Hong Kong, Hong Kong;2. The Anthropology Department, The Chinese University of Hong Kong, Hong Kong;3. Central Clinical School, Monash University, Melbourne, Australia;4. Bau Institute of Medical and Health Sciences Education, The University of Hong Kong, Hong Kong;5. The Department of Law, The University of Hong Kong, Hong Kong |
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| Abstract: | A solution of the problem of the plane parallel flow of viscoplastic medium between two parallel plates when they approach (separate) at a specified velocity is given within the framework of the Bingham model in the inertialess thin-layer approximation for arbitrary values of the coefficient of viscosity and the yield stress. Analytic expressions are obtained for the velocity and pressure fields. The boundary of the flow kernel, where the shear stress on the areas of the parallel planes of the plates is less than the yield stress and the component of the velocity, parallel to the plates, does not change in a transverse direction, is determined. A single similarity parameter which defines the kinematic and dynamic flow characteristics is found. For a specified law of motion of the plates, a general expression is obtained for the force acting on plates of finite size in terms of a dimensionless function of a single dimensionless parameter. The law of approach (separation) of the plates under a constant force is found. |
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