Oscillating viscoelastic flow in a curved duct—Exact analytical and numerical solution |
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| Affiliation: | 1. Department of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran;2. Research School of Engineering, The Australian National University, Canberra, ACT 2601, Australia;3. Young Researchers and Elite Club, Sari Branch, Islamic Azad University, Sari, Iran;4. Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran;5. School of Mechanical Engineering, Department of Energy Conversion, Shahid Beheshti University, Tehran, Iran;1. State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou 310027, China;2. Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | The analytical solution of the equations of motion is presented for a fully developed laminar flow in a curved channel with circular walls, when an oscillating circumferential pressure gradient is imposed (finite gap oscillating Dean flow). The fluid studied, is a viscoelastic (Jeffrey) fluid. The validity of the solution is verified by a finite difference numerical method. |
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