Electrohydrodynamic flow analysis in a circular cylindrical conduit using Least Square Method |
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| Affiliation: | 1. Young Researchers and Elite Club, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran;2. Esfarayen University, Engineering and Technical College, Mechanical Engineering Department, Esfarayen North Khorasan, Iran;3. Department of Mechanical Engineering, Yazd University, Yazd, Iran;4. Department of Mechanical Engineering, Babol University of Technology, Babol, Iran;1. Laboratory of Phytoprotection Science and Technology, Faculty of Agriculture, Kinki University, Nara 631-8505, Japan;2. Pharmaceutical Research and Technology Institute, Kinki University, Osaka 577-8502, Japan;3. Research and Development Division, Kagome Co., Ltd., Tochigi 329-2762, Japan;4. Technical Development Unit, Panasonic Environmental Systems & Engineering Co., Ltd., Osaka 564-0062, Japan;5. Agricultural, Food and Environmental Sciences Research Center of Osaka Prefecture, Osaka 583-0862, Japan;1. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran;2. Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran;3. Department of Energy Systems Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran |
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| Abstract: | In this article, Electrohydrodynamic flow (EHD flow) in a circular cylindrical conduit is studied by a semi-exact and high efficient weighted residual method called Least Square Method (LSM). A principle of LSM is briefly introduced and later is employed to solve the described problem. Furthermore, the effects of the Hartmann electric number (Ha) and the strength of nonlinearity (α) on velocity profiles are discussed and presented graphically. Results are compared with numerical solution and obtained residuals are compared with those of HAM which previously were done by Mastroberardino in Ref. [3]. Outcomes reveal that LSM has an excellent agreement with numerical solution; also depicted residual functions showed that LSM is more acceptable than HAM especially for large values of Ha and α numbers, also it is simpler and needs fewer computations. |
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| Keywords: | Electrohydrodynamic (EHD) flow Cylindrical conduit Hartmann electric number Least Square Method (LSM) Residual function |
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