Chapter VI: Conclusions and Outlook
6.2 Outlook
Two broad tasks are suggested as a continuation of this thesis. The first is valida- tion of the reduced order models through further experimentation, augmenting the model with more relevant physics as their importance becomes evident. Better flow instrumented flextensional energy harvester experiments are likely a good starting point. Measurements of effective spanwise flow, detailed velocity and pressure pro- files over the beam surfaces, and more accurate assessment of flexure structural properties would help in quantifying or better estimating system unknowns. An- other set of experiments where flexures reach the limit-cycle regime at a Mach num- ber less than 0.1, then with gradually increasing Mach number values, would quan- tify the importance of compressibility in predicting stability boundaries. Lastly, a set of experiments where diffuser angle can be varied would elucidate the effect of flow separation on critical properties, especially when measurements suggested are implemented.
The second task is using the models developed in this work to assess and design new flow energy harvesters. One example is the convexity of the critical flow rate stability boundaries found as a function of diffuser angle in section 5.5. By under- standing the variation of the minimum unstable flow rate inαm, more unstable, and perhaps more powerful, designs may be developed. Building an optimization algo- rithm constrained by the model dynamics in chapter 2 appears a logical next step.
Iteration between model validation and the optimization is an obvious necessity,
hence advancing both tasks simultaneously is seems like a sensible strategy.
BIBLIOGRAPHY
[1] D. S. Herran and T. Nakata. “Design of decentralized energy systems for rural electrification in developing countries considering regional disparity.”
In:Applied Energy91.1 (2012).
[2] M. I. Yuce and A. Muratoglu. “Hydrokinetic energy conversion systems: A technology status review.” In: Renewable and Sustainable Energy Review 43 (2015), pp. 72–82.
[3] K. Sornes. “Small-scale water current turbines for river applications.” In:
Zero Emission Resource Organisation (ZERO)(2010).
[4] S. Dudhani, A. K. Sinha, and S. S. Inamdar. “Assessment of small hy- dropower potential using remote sensing data for sustainable development in India.” In:Energy policy34.17 (2006), pp. 3195–3205.
[5] A. Moschitta and I. Neri. “Power consumption assessment in wireless sen- sor networks.” In: ICT-Energy-Concepts Towards Zero-Power Information and Communication Technology(2014).
[6] M. Anyi and B. Kirke. “Evaluation of small axial flow hydrokinetic tur- bines for remote communities.” In: Energy for Sustainable Development 14.2 (2010), pp. 110–116.
[7] J. Algeroy et al. “Controlling reservoirs from afar.” In:Oilfield Review11.3 (1999), pp. 18–29.
[8] E. Addiego-Guevara, M. D. Jackson, M. A. Giddins, et al. “Insurance value of intelligent well technology against reservoir uncertainty.” In: SPE Sym- posium on Improved Oil Recovery. Society of Petroleum Engineers. 2008.
[9] B. Yeten et al. “Decision analysis under uncertainty for smart well de- ployment.” In: Journal of Petroleum Science and Engineering44.1 (2004), pp. 175–191.
[10] W. Tong.Wind power generation and wind turbine design. Wit Press, 2010.
[11] H. Guo et al. “Reliability analysis for wind turbines with incomplete fail- ure data collected from after the date of initial installation.” In:Reliability Engineering & System Safety94.6 (2009), pp. 1057–1063.
[12] Life-limiting wear of wind turbine gearbox bearings: origins and solutions.
Vol. 4. Proceedings of European wind energy conference exhibition (EWEC 2010). 2010.
[13] X. Gao. “Vibration and flow energy harvesting using piezoelectric can- tilevers.” PhD thesis. Drexel University, 2011.
[14] M. M. Bernitsas et al. “VIVACE (Vortex induced vibration aquatic clean energy): a new concept in generation of clean and renewable energy from fluid flow.” In:Journal of Offshore Mechanics and Arctic Engineering130.4 (2008), p. 041101.
[15] D. Zhu. Vibration energy harvesting: machinery vibration, human move- ment and flow induced vibration. InTech, 2011.
[16] A. Manbachi and R. S. Cobbold. “Development and application of piezo- electric materials for ultrasound generation and detection.” In: Ultrasound 19.4 (2011), pp. 187–196.
[17] J. G. Smits, W. Choi, and A. Ballato. “Resonance and antiresonance of sym- metric and asymmetric cantilevered piezoelectric flexors.” In:Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on 44.2 (1997), pp. 250–258.
[18] D. W. Allen. “Vortex-Induced vibration of deepwater risers.” In: Offshore Technology Conference. Houston, 1998, pp. 1–7.
[19] K. Y. Billah and R. H. Scanlan. “Resonance, Tacoma Narrows bridge fail- ure, and undergraduate physics textbooks.” In: Am. J. Phys 59.2 (1991), pp. 118–124.
[20] L. Tang, M. P. Païdoussis, and J. Jiang. “Cantilevered flexible plates in axial flow: energy transfer and the concept of flutter-mill.” In: Journal of Sound and Vibration326.1 (2009), pp. 263–276.
[21] A. Khalak and C. H. K. Williamson. “Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping.” In: Journal of Fluids and Structures13 (1999), pp. 813–851.
[22] M. J. Every, R. King, and D. S. Weaver. “Vortex-Excited Vibrations of cylinders and cables and their suppression.” In:Ocean Engineering9.2 (Jan.
1982), pp. 135–157.ISSN: 00298018.DOI:10.1016/0029-8018(82) 90010-5.URL:http://linkinghub.elsevier.com/retrieve/
pii/0029801882900105.
[23] T. Suzuki, T. Colonius, and S. Pirozzoli. “Vortex shedding in a two-dimensional diffuser: theory and simulation of separation control by periodic mass injec- tion.” In:Journal of Fluid Mechanics520 (Dec. 2004), pp. 187–213.ISSN: 0022-1120. DOI: 10 . 1017 / S0022112004001405. URL: http : / /
www.journals.cambridge.org/abstract%5C_S0022112004001405.
[24] M. P. Païdoussis. “Annular- and Leakage- Flow-Induced Instabilities.” In:
Fluid-Structure Interactions: Slender Structures and Axial Flow, Volume 2.
Academic Press, 2003. Chap. 11, pp. 1221–1420.
[25] S. Sherrit et al. “Flow energy piezoelectric bimorph nozzle harvester.” In:
SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring. International Society for Optics and Photonics. 2014.
[26] H. J. Lee et al. “Piezoelectric Energy Harvesting in Internal Fluid Flow.”
In:Sensors15.10 (2015).
[27] H. J. Lee et al. “Design and experimental evaluation of flextensional-cantilever based piezoelectric transducers for flow energy harvesting.” In:SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Moni- toring. International Society for Optics and Photonics. 2016.
[28] S. Sherrit et al. “Fluid flow nozzle energy harvesters.” In:SPIE Smart Struc- tures and Materials + Nondestructive Evaluation and Health Monitoring.
International Society for Optics and Photonics. 2015.
[29] E. B. Johansson. Hydraulic instability of reactor parallel-plate fuel assem- blies. Tech. rep. Knolls Atomic Power Lab., Schenectady, NY, 1959.
[30] D. R. Miller. “Critical flow velocities for collapse of reactor parallel-plate fuel assemblies.” In:Journal of Engineering for Power82.2 (1960), pp. 83–
91.
[31] F. Inada and S. Hayama. “A Study on Leakage-Flow-Induced Vibrations.”
In:Japan Society of Mechanical Engineers International Journal Ser. 3, Vi- bration, Control Engineering, Engineering for Industry31.1 (1988), pp. 39–
47.
[32] F. Inada and S. Hayama. “A study on leakage-flow-induced vibrations. Part 1: Fluid-dynamic forces and moments acting on the walls of a narrow ta- pered passage.” In: Journal of Fluids and Structures 4.4 (1990), pp. 395–
412. ISSN: 10958622.DOI:10.1016/0889-9746(90)90144-T.
[33] H. Nagakura and S. Kaneko. “The stability of a cantilever beam subjected to one-dimensional leakage flow.” In:Transactions of the 11th international conference on structural mechanics in reactor technology(1991).
[34] S. D. Sommerfeldt and W. J. Strong. “Simulation of a player–clarinet sys- tem.” In: The Journal of the Acoustical Society of America 83.5 (1988), pp. 1908–1918.
[35] J. Backus. “Small-Vibration Theory of the Clarinet.” In:The Journal of the Acoustical Society of America35.3 (1963), pp. 305–313.
[36] T. S. Balint and A. D. Lucey. “Instability of a cantilevered flexible plate in viscous channel flow.” In:Journal of Fluids and Structures20.7 SPEC. ISS.
(2005), pp. 893–912.ISSN: 08899746.DOI:10.1016/j.jfluidstructs.
2005.05.005.
[37] G. A. Tetlow and A. D. Lucey. “Motions of a cantilevered flexible plate in viscous channel flow driven by a constant pressure drop.” In:International Journal for Numerical Methods in Biomedical Engineering 25.5 (2009), pp. 463–482.
[38] F. B. Tian et al. “Fluid–structure interaction involving large deformations:
3D simulations and applications to biological systems.” In:Journal of com- putational physics258 (2014), pp. 451–469.
[39] K. Shoele and R. Mittal. “Flutter instability of a thin flexible plate in a channel.” In: Journal of Fluid Mechanics 786 (2016), pp. 29–46. ISSN: 14697645. DOI:10.1017/jfm.2015.632.
[40] P. Hidalgo, S. Jha, and A. Glezer. “Enhanced heat transfer in air cooled heat sinks using aeroelastically fluttering reeds.” In:Thermal Investigations of ICs and Systems (THERMINIC), 2015 21st International Workshop on.
IEEE. 2015, pp. 1–6.
[41] J. Cisonni et al. “The stability of a flexible cantilever in viscous channel flow.” In:Journal of Sound and Vibration396 (2017), pp. 186–202.
[42] C. Q. Guo and M. P. Paidoussis. “Stability of rectangular plates with free side-edges in two-dimensional inviscid channel flow.” In: Journal of Ap- plied Mechanics67.1 (2000), pp. 171–176.DOI:10.1115/1.321143.
[43] S. Alben. “Flag flutter in inviscid channel flow.” In: Physics of Fluids27.3 (2015), p. 033603.DOI:10.1063/1.4915897.
[44] S. Alben. “Optimal flexibility of a flapping appendage in an inviscid fluid.”
In:Journal of Fluid Mechanics614 (2008), pp. 355–380.
[45] X. Wu and S. Kaneko. “Linear and nonlinear analyses of sheet flutter in- duced by leakage flow.” In: Journal of Fluids and Structures 20.7 (2005), pp. 927–948.
[46] K. Fujita and A. Shintani. “Flow-induced vibration of the elastic rod due to axial flow: unstable phenomena of continuous flexible rod as the axisym- metric body.” In:PVP Flow Induced Vibration389 (1999), pp. 199–206.
[47] K. Fujita and A. Shintani. “Axial Leakage Flow-Induced Vibration of the Elastic Rod as the Axisymmetric Continuous Flexible Beam.” In: Journal of Pressure Vessel Technology123.4 (2001), p. 421. ISSN: 00949930.DOI: 10 . 1115 / 1 . 1387442. URL: http : / / pressurevesseltech . asmedigitalcollection.asme.org/article.aspx?articleid=
1458073.
[48] K. Fujita and A. Shintani. “A consideration on pre- and post-instability of an axisymmetric elastic beam subjected to axial leakage flow.” In: Journal of Fluids and Structures 23.3 (Apr. 2007), pp. 463–478. ISSN: 08899746.
DOI:10.1016/j.jfluidstructs.2006.08.016.URL:http://
linkinghub.elsevier.com/retrieve/pii/S088997460600123X. [49] D. T. Akcabay and Y. L. Young. “Hydroelastic response and energy harvest-
ing potential of flexible piezoelectric beams in viscous flow.” In:Physics of Fluids24.5 (2012).
[50] O. Doaré, M. Sauzade, and C. Eloy. “Flutter of an elastic plate in a channel flow: Confinement and finite-size effects.” In:Journal of Fluids and Struc- tures27.1 (2011), pp. 76–88.
[51] O. Doaré et al. “Effect of spanwise confinement on flag flutter: Experimen- tal measurements.” In:Physics of Fluids(2011), pp. 1–4.
[52] A. Goza and T. Colonius. “A strongly-coupled immersed-boundary formu- lation for thin elastic structures.” In:Journal of Computational Physics336 (2017), pp. 401–411.
[53] P. K. Kundu, I. Cohen, and D. R. Dowling. “Fluid Mechanics. The Science of Microfabrication.” In: Elsevier, 2012.
[54] Y. Shimoyama and Y. Yamada. “Experiments on the Labyrinth Packing.” In:
117 (1957), pp. 44–49.ISSN: 09168451.DOI:10.1248/cpb.37.3229.
[55] B. Lautrup. “Channels and Pipes.” In: Physics of continuous matter: ex- otic and everyday phenomena in the macroscopic world. CRC press, 2011.
Chap. 16, pp. 564–265.
[56] B. Lautrup. “Addendum: Channel entrance flow.” In:Physics of continuous matter: exotic and everyday phenomena in the macroscopic world. CRC press, 2011.
[57] F. D. White. “Viscous Flow in Ducts.” In: Fluid Mechanics. Academic Press, 2008, pp. 375–389.
[58] D. J. Inman. “Distributed-parameter systems.” In: Engineering vibration.
Vol. 3. Prentice Hall New Jersey, 2008. Chap. 6, pp. 464–538.
[59] H. T. Banks and D. J. Inman. “On damping mechanisms in beams.” In:
Journal of Applied Mechanics58.3 (1991), pp. 716–723.
[60] J. E. Sader. “Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope.” In:Journal of Ap- plied Physics 84.1 (1998), p. 64. ISSN: 00218979. DOI: 10 . 1063 / 1 . 368002. URL: http : / / scitation . aip . org / content / aip / journal/jap/84/1/10.1063/1.368002.
[61] Cornelis A. Van Eysden and J. E. Sader. “Small amplitude oscillations of a flexible thin blade in a viscous fluid: Exact analytical solution.” In:Physics of Fluids 18.12 (2006), p. 123102. ISSN: 10706631. DOI: 10.1063/1.
2395967. URL:http://scitation.aip.org/content/aip/
journal/pof2/18/12/10.1063/1.2395967.
[62] Cornelis A. Van Eysden and J. E. Sader. “Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope: Arbitrary mode order.” In: Journal of Applied Physics 101.4 (2007), p. 044908. ISSN: 00218979. DOI:10.1063/1.2654274. URL: http://scitation.aip.org/content/aip/journal/jap/
101/4/10.1063/1.2654274.