Journal of Vibration and Sound

Journal of Vibration and Sound

Analytical and numerical study of the effect of pressure difference and variation of flow behavior index on rheological behavior of MR fluid in magnetic dampers

Document Type : research article

Authors
1 Mechanical Engineering Department, Imam Hossein comprehensive University, Tehran, Iran
2 Mechanical Engineering Department, Imam Hossein comprehensive University
Abstract
در این مقاله به بررسی رفتار سیال مگنتورئولوژیکال (MR) دمپرهای مغناطیسی با تاکید بر اثر اختلاف فشار و تغییر شاخص رفتار جریان (n) پرداخته شده است. ابتدا به روش تحلیلی و با استفاده از مدل هرشل باکلی و تقریب صفحات موازی، معادلات حاکم بر رفتار رئولوژیکی سیال MR استخراج و از مدل پلاستیک بینگهام در n=1 برای تنش برشی استفاده شد. در ادامه با مدلسازی عددی مسئله بصورت سیال گذرا بین دو استوانه هم مرکز و اعتبار سنجی آن، پارامترهای سرعت متوسط خروجی، اصطکاک سطح داخلی دیواره و لزجت ظاهری در اختلاف فشارهای ثابت و متغیر مورد بررسی قرار گرفت. نتایج نشان داد که با افزایش عدد شاخص جریان (n) در اختلاف فشار ثابت، سرعت خروجی کاهش می‌یابد و افزایش اختلاف فشار منجر به افزایش سرعت در نقاط مختلف قسمت خروجی می‌گردد. همچنین ضریب اصطکاک دیواره در اختلاف فشار ثابت با افزایش n در تمام نواحی افزایش می یابد و با افزایش اختلاف فشار، مقدار ضریب اصطکاک نیز افزایش می‌یابد. بررسی لزجت با تغییر n در اختلاف فشار ثابت و هم‌چنین تغییر آن با تغییر اختلاف فشار نشان دهنده رفتار کاهشی است.
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[1]   Alavi, M.A., Sobhnamayan, F., “Analysis, Application and Stating Governing Equations of Smart Fluids”, 19th Annual Conference on Mechanical Engineering-ISME2011, 10-12 May, The University of Birjand, Birjand, Iran, 2011.
[2]   Frank, M., "White," Fluid Mechanics", McGraw Hill., 8th ed., 2015.
[3]   Bird, R. Byron., Warren e.,"Stewart, Edwin N. Lightfoot, Transport Phenomen”, John Wiley & son, New York, 1960.
[4]   Chhabra, Raj P., and John Francis Richardson, “Non-Newtonian flow in the process industries: fundamentals and engineering applications”, Butterworth-Heinemann, 1999.
[5]   Malkin, Alexander, and Alexander Y. Malkin, “Rheology fundamentals”, ChemTec publishing, 1994.
[6]   Baranwal, Deepak, and T. S. Deshmukh. "MR-fluid technology and its application-a review", International Journal of Emerging Technology and Advanced Engineering, 2012, Vol.2, no.12, pp.563-569.
[7]   Ahmadian, Mehdi, and James A. Norris, "Experimental analysis of magnetorheological dampers when subjected to impact and shock loading", Communications in Nonlinear Science and Numerical Simulation, 2008, Vol.13, no.9, pp.1978-1985.
[8]   Mikułowski, G., "Adaptive impact absorbers based on magnetorheological fluids", IPPT PAN, 2008.
[9]   Zhang, Xianzhou, Weihua Li, and X. L. Gong, "Study on magnetorheological shear thickening fluid", Smart materials and structures, 2008, Vol.17, no.1, p.015051.
[10]           Bossis, Georges, A. Ciffreo, Yann Grasselli, and Olga Volkova, "Discontinuous shear thickening in magnetorheological suspensions", In 27th Nordic Rheology Conference" Rheology for a better world", 2018, Vol.26, pp87-91.
[11]           Peng, Gangrou, "Novel shear thickening and magnetorheological materials and their application in controllable electrolytes." 2016.
[12]           Bossis, G., Y. Grasselli, A. Meunier, and O. Volkova, "Tunable discontinuous shear thickening with MR suspensions", In 15th International Conference on Electrorheological fluids and Magnetorheological suspensions, 2016.
[13]           Lindler, Jason E., Glen A. Dimock, and Norman M. Wereley, "Design of a magnetorheological automotive shock absorber", In Smart Structures and Materials 2000: Smart Structures and Integrated Systems, 2000, Vol.3985, pp.426-437. International Society for Optics and Photonics.
[14]           Liu, Xin-yun, Da-lin Wu, and Jian Hou, "Design and analysis of a scheme for the naval gun test shell entering the bore", Defence Technology, 2020.
[15]           Poynor, James Conner, "Innovative designs for magneto-rheological dampers", PhD diss., Virginia Tech, 2001.
[16]           Calarasu, D., C. Cotae, and R. Olaru, "Magnetic fluid brake", Journal of Magnetism and Magnetic Materials, 1999, Vol.201, no.1-3, pp.401-403.
[17]           Karakoc, Kerem, Edward J. Park, and Afzal Suleman, "Design considerations for an automotive magnetorheological brake", Mechatronics, 2008, Vol.18, no.8, pp.434-447.
[18]           Huang, Jin, J. Q. Zhang, Yan Yang, and Y. Q. Wei, "Analysis and design of a cylindrical magneto-rheological fluid brake", Journal of Materials Processing Technology, 2002, Vol.129, no.1-3, pp.559-562.
[19]           Bucchi, Francesco, Paola Forte, Francesco Frendo, and R. Squarcini, "A magnetorheological clutch for efficient automotive auxiliary device actuation", Frattura Ed Integrità Strutturale, 2013, Vol.7, no.23, pp.62-74.
[20]           Wessling, Lisa, "Physical modeling of a clutch for heavy vehicles", 2011.
[21]           B. Kavlicoglu, F. Gordaninejad, Y. Liu, X. Wang, and N. Cobanoglu, “Magneto rheological Fluid Limited Slip Differential Clutch”, Composite and Intelligent Materials Laboratory, Nevada, 2006.
[22]           Giuclea, M., Sireteanu, T., Stancioiu, D. and Stammers, C.W., “Modelling of magnetorheological damper dynamic behaviour by genetic algorithms based inverse method”. Proc. R. Acad. Series A, 2004, Vol.5, no.1, p.5563.
[23]           Spencer Jr, BrnF, S. J. Dyke, M. K. Sain, and JDf Carlson, "Phenomenological model for magnetorheological dampers", Journal of engineering mechanics, 1997, Vol.123, no.3, pp. 230-238.
[24]           Guðmundsson, Ketill Heiðar, "Design of a magnetorheological fluid for an MR prosthetic knee actuator with an optimal geometry", 2011.
[25]           Carlson, J. David, Wilfried Matthis, and James R. Toscano, "Smart prosthetics based on magnetorheological fluids", In Smart structures and materials 2001: industrial and commercial applications of smart structures technologies, 2001, Vol.4332, pp. 308-316.,  International Society for Optics and Photonics.
[26]           Kim, Do Kyung, Maria Mikhaylova, Fu Hua Wang, Jan Kehr, Börje Bjelke, Yu Zhang, Thomas Tsakalakos, and Mamoun Muhammed, "Starch-coated superparamagnetic nanoparticles as MR contrast agents", Chemistry of Materials, 2003, Vol.15, no.23, pp.4343-4351.
[27]           Hong, R. Y., B. Feng, L. L. Chen, G. H. Liu, H. Z. Li, Y. Zheng, and D. G. Wei, "Synthesis, characterization and MRI application of dextran-coated Fe3O4 magnetic nanoparticles", Biochemical Engineering Journal, 2008, Vol.42, no.3, pp.290-300.
[28]           Chertok, Beata, Bradford A. Moffat, Allan E. David, Faquan Yu, Christian Bergemann, Brian D. Ross, and Victor C. Yang, "Iron oxide nanoparticles as a drug delivery vehicle for MRI monitored magnetic targeting of brain tumors", Biomaterials, Vol.29, no.4, pp.487-496.
[29]           Hiergeist, R., W. Andrä, N. Buske, R. Hergt, I. Hilger, U. Richter, and W. Kaiser, "Application of magnetite ferrofluids for hyperthermia", Journal of magnetism and Magnetic Materials, 1999, Vol.201, no.1-3, pp.420-422.
[30]           Ban, Shuai, and Vladislav Korenivski, "Pattern storage and recognition using ferrofluids", Journal of applied physics, 2006, Vol.99, no.8, p.08R907.
[31]           Vander Wal, Randall L., and Thomas M. Ticich, "Comparative flame and furnace synthesis of single-walled carbon nanotubes", Chemical Physics Letters, 2001, Vol.336, no.1-2, pp.24-32.
[32]           Raj, Kuldip, B. Moskowitz, and R. Casciari, "Advances in ferrofluid technology", Journal of magnetism and magnetic materials, 1995, Vol.149, no.1-2, pp.174-180.
[33]           Yang, Gary, B. F. Spencer Jr, J. D. Carlson, and M. K. Sain, "Large-scale MR fluid dampers: modeling and dynamic performance considerations", Engineering structures, 2002, Vol.24, no.3, pp.309-323.
[34]           Kim, Jeong-Hoon, Chong-Won Lee, Byung-Bo Jung, Youngjin Park, and Guangzhong Cao, "Design of magneto-rheological fluid based device", KSME international journal, 2001, Vol.15, no.11, pp.1517-1523.
[35]           Jolly, Mark R., Jonathan W. Bender, and J. David Carlson, "Properties and applications of commercial magnetorheological fluids", Journal of intelligent material systems and structures, 1999, Vol.10, no.1, pp.5-13.
[36]           Stephen, Papell Solomon, "Low viscosity magnetic fluid obtained by the colloidal suspension of magnetic particles." U.S. Patent 3,215,572, issued November 2, 1965.
[37]           Phillips, Robert William, "Engineering applications of fluids with a variable yield stress", PhD diss., University of California, Berkeley, 1969.
[38]           Wang, J. Y., Y. Q. Ni, J. M. Ko, and B. F. Spencer Jr., "Magneto-rheological tuned liquid column dampers (MR-TLCDs) for vibration mitigation of tall buildings: modelling and analysis of open-loop control", Computers & structures, 2005, Vol.83, no.25-26 pp.2023-2034.
[39]           Wang, Xiaojie, and Faramarz Gordaninejad, "Field-controllable electro-and magneto-rheological fluid dampers in flow mode using Herschel-Bulkley theory", In Smart Structures and Materials 2000: Damping and Isolation, 2000, Vol.3989, pp.232-243. International Society for Optics and Photonics.
[40]           Chooi, Weng W., and S. Olutunde Oyadiji, "Design, modelling and testing of magnetorheological (MR) dampers using analytical flow solutions", Computers & structures, 2008, Vol.86, no.3-5, pp.473-482.
[41]           Awrejcewicz, Jan, and Larisa P. Dzyubak, "Hysteresis simulation and investigation of the control parameter planes", In Proc. Fifth EUROMECH Nonlinear Dynamics Conference, 2005.
[42]           Ji, Han-Rok, Yeong-Jong Moon, Chun-Ho Kim, and In-Won Lee, "Structural vibration control using semiactive tuned mass damper", In The Eighteenth KKCNN Symposium on Civil Engineering-KAIST6, 2005, pp.18-20.
[43]           Kwok, N. M., Q. P. Ha, J. Li, B. Samali, and S. M. Hong, "Parameter identification for a magnetorheological fluid damper: an evolutionary computation approach", In Proc. Sixth Intl. Conf. on Intelligent Technologies, 2005, pp. 115-122.
[44]           Dyke SJ, Spencer Jr, BF, Sain MK, Carlson JD, “On the efficacy of magnetorheological dampers for seismic response reduction”, In: Proceedings of the ASME 16th Biennial Conference on Mechanical Vibration and Noise, Paper No. DETC97VIB3828, 1997, 10 p.
[45]           Spencer Jr, BrnF, S. J. Dyke, M. K. Sain, and JDf Carlson, "Phenomenological model for magnetorheological dampers", Journal of engineering mechanics, 1997, Vol.123, no.3, pp.230-238.
[46]           Dyke, S. J., B. F. Spencer Jr, M. K. Sain, and J. D. Carlson, "Modeling and control of magnetorheological dampers for seismic response reduction", Smart materials and structures, 1996, Vol.5, no.5, p.565.
[47]           Parlak, Zekeriya, Tahsin Engin, and İsmail Çallı, "Optimal design of MR damper via finite element analyses of fluid dynamic and magnetic field", Mechatronics, 2012, Vol.22, no.6, pp.890-903.
[48]           Kamath, Gopalakrishna M., Melanie K. Hurt, and Norman M. Wereley, "Analysis and testing of Bingham plastic behavior in semi-active electrorheological fluid dampers", Smart Materials and Structures, 1996, Vol.5, no.5 p.576.
[49]           Yoo, Jin-Hyeong, and Norman M. Wereley, "Quasi-steady axisymmetric Bingham-plastic model of magnetorheological flow damper behavior", In ASME International Mechanical Engineering Congress and Exposition, 2005, Vol.4210, pp.375-380.
[50]           Yoo, Jin-Hyeong, and Norman M. Wereley, "Nondimensional analysis of annular duct flow in magnetorheological/electrorheological dampers", International Journal of Modern Physics B, 2005,Vol.19, no.07n09, pp.1577-1583.
[51]           Wang, D. H., H. X. Ai, and W. H. Liao, "A magnetorheological valve with both annular and radial fluid flow resistance gaps," Smart materials and structures, 2009, Vol.18, no.11, p.115001.
[52]           Hong, S. R., S. B. Choi, Y. T. Choi, and N. M. Wereley, "Non-dimensional analysis and design of a magnetorheological damper", Journal of Sound and Vibration, 2005, Vol.288, no.4-5, pp.847-863.
[53]           Hong, S. R., N. M. Wereley, Y. T. Choi, and S. B. Choi, "Analytical and experimental validation of a nondimensional Bingham model for mixed-mode magnetorheological dampers", Journal of Sound and Vibration, 2008, Vol.312, no.3, pp.399-417.
[54]           Zolfagharian, Mohammad Mehdi, Mohammad Hassan Kayhani, and Mahmood Norouzi, "Manufacturing and testing of an optimized Magneto-Rheological (MR) fluid and modelling of a Twin tube MR damper using a modified non-Newtonian model using analytical quasi-static, analytical unsteady, numerical and experimental methods", Amirkabir Journal of Mechanical Engineering, 2019.
[55]           Zolfagharian, Mohammad Mehdi, Mohammad Hassan Kayhani, Mahmood Norouzi, and Amir Jalali, "Parametric investigation of twin tube magnetorheological dampers using a new unsteady theoretical analysis", Journal of Intelligent Material Systems and Structures, 2019, Vol.30, no.6, pp.878-895.
[56]           Ahamed, Raju, Md Meftahul Ferdaus, and Yancheng Li, "Advancement in energy harvesting magneto-rheological fluid damper: A review", Korea-Australia Rheology Journal, 2016, Vol.28, no.4, pp.355-379.
[57]           Wereley, Norman M., and Li Pang, "Nondimensional analysis of semi-active electrorheological and magnetorheological dampers using approximate parallel plate models", smart materials and structures, 1998, Vol.7, no.5, p.732.
[58]           Wahid, S. A., I. Ismail, S. Aid, and M. S. A. Rahim, "Magneto-rheological defects and failures: A review", In IOP Conference Series: Materials Science and Engineering, 2016, Vol.114, no.1, p.012101, IOP Publishing, 2016.
[59]           Batchelor, George K., "An Introduction to Fluid Dynamics", Cambridge,1967, UP xviii 615.
[60]           Tanner, R. I., "Engineering Rheology”, Clarendon Press, Oxford, 1988.
[61]           Çeşmeci, Şevki, and Tahsin Engin., "Modeling and testing of a field-controllable magnetorheological fluid damper", International Journal of Mechanical Sciences, 2010, Vol.52, no.8, pp.1036-1046.
[62]            Chooi, Weng Wai, "Experimental characterisation of the properties of magnetorheological (MR) fluids and MR damper", PhD diss., The University of Manchester, 2005.