Theoretical analysis of phase-lag in low frequency laminar pulsating flow |
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| Affiliation: | 1. Centro de Investigación en Creatividad y Educación Superior & Departmento de Ingeniería Mechánica, Universidad de Santiago de Chile, Santiago, Chile;2. Department of Mathematics and Statistical Sciences & Department of Mechanical, Energy and Industrial Engineering, Bostwana International University of Science and Technology, Palapye, Bostwana;1. Office of the Deputy President (Research and Technology), National University of Singapore, Singapore 119077, Singapore;2. Faculty of Engineering and Mathematical Sciences, University of Western Australia, Crawley, WA 6009, Australia;3. Department of Engineering Science, University of Oxford, Oxford OX1 3PJ, UK;4. Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA;1. College of Mechanics and Materials, Hohai University, Nanjing,, 211100, China;2. State Key Laboratory of Structural Analysis for Industrial Equipment & School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | The phase-lag between pressure gradient and flow rate in laminar pulsating flow in circular pipes and parallel-plate channels are studied theoretically. It is found that the phase-lag between pressure gradient and flow rate in low frequency (f < 0.5 Hz) pulsating laminar flow exists both in circular pipes and parallel-plate channels. The phase-lag increases with the increase of pulsating frequency, radius of the pipe and the height of the channel, however, it decreases with increase of the fluid viscosity. In addition, the phase-lag is not related to the pulsating amplitude. The analytical results show that velocity radial distribution does not affected by the low frequency pulsation and the value of phase-lag depends on the ratio of the acceleration pressure drop to the total pressure drop. |
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