Parametric analysis of fluidic energy harvesters in grid turbulence

Even though it is omnipresent in nature, there has not been much research in the literature involving turbulence as an energy source for piezoelectric fluidic harvesters. In the present work, a grid-generated turbulence forcing function model which we derived previously is employed in the single degree-of-freedom electromechanical equations to find the power output and tip displacement of piezoelectric cantilever beams. Additionally, we utilize simplified, deterministic models of the turbulence forcing function to obtain closed-form expressions for the power output. These theoretical models are studied using experiments that involve separately placing a hot-wire anemometer probe and a short PVDF beam in flows where turbulence is generated by means of passive and semi-passive grids. From a parametric study of the deterministic models, we show that a white noise forcing function best mimics the experimental data. Furthermore, our parametric study of the response spectrum of a generic fluidic harvester in grid-generated turbulent flow shows that optimum power output is attained for beams placed closer to the grid with a low natural frequency and damping ratio and a large electromechanical coupling coefficient.

[1]  Daniel J. Inman,et al.  On the energy harvesting potential of piezoaeroelastic systems , 2010 .

[2]  E. Halvorsen.  Energy Harvesters Driven by Broadband Random Vibrations , 2008, Journal of Microelectromechanical Systems.

[3]  Daniel J. Inman,et al.  A Distributed Parameter Electromechanical Model for Cantilevered Piezoelectric Energy Harvesters , 2008 .

[4]  Daniel J. Inman,et al.  Estimation of Electric Charge Output for Piezoelectric Energy Harvesting , 2004 .

[5]  H. Sodano,et al.  Optimal parameters and power characteristics of piezoelectric energy harvesters with an RC circuit , 2009 .

[6]  Daniel J. Inman,et al.  Artificial piezoelectric grass for energy harvesting from turbulence-induced vibration , 2012 .

[7]  Yiannis Andreopoulos,et al.  The Effects of Turbulence Length Scale on the Performance of Piezoelectric Harvesters , 2015, HRI 2015.

[8]  S. Pope.  Turbulent Flows: FUNDAMENTALS , 2000 .

[9]  Y. Shu,et al.  Analysis of power output for piezoelectric energy harvesting systems , 2006 .

[10]  A. Smits,et al.  Energy harvesting eel , 2001 .

[11]  N. Elvin,et al.  A General Equivalent Circuit Model for Piezoelectric Generators , 2009 .

[12]  Muhammad R. Hajj,et al.  Phenomena and modeling of piezoelectric energy harvesting from freely oscillating cylinders , 2012 .

[13]  Amin Bibo,et al.  Investigation of Concurrent Energy Harvesting from Ambient Vibrations and Wind , 2013 .

[14]  Y. Andreopoulos,et al.  Wake of a cylinder: a paradigm for energy harvesting with piezoelectric materials , 2010 .

[15]  Hod Lipson,et al.  Ambient wind energy harvesting using cross-flow fluttering , 2011 .

[16]  Michael J. Corinthios.  Signals, Systems, Transforms, and Digital Signal Processing with MATLAB , 2009 .

[17]  R. Blevins,et al.  Flow-Induced Vibration , 1977 .

[18]  T. Tatsumi.  Theory of Homogeneous Turbulence , 1980 .

[19]  Gregory L. Eyink,et al.  Exact results on stationary turbulence in 2D: consequences of vorticity conservation , 1996 .

[20]  Daniel J. Inman,et al.  Piezoelectric energy harvesting from broadband random vibrations , 2009 .

[21]  D. Anderson,et al.  Algorithms for minimization without derivatives , 1974 .

[22]  S. Corrsin,et al.  The use of a contraction to improve the isotropy of grid-generated turbulence , 1966, Journal of Fluid Mechanics.

[23]  John C. LaRue,et al.  The decay power law in grid-generated turbulence , 1990, Journal of Fluid Mechanics.

[24]  Robert H. Kraichnan,et al.  An almost-Markovian Galilean-invariant turbulence model , 1971, Journal of Fluid Mechanics.

[25]  A. Barrero-Gil,et al.  Energy harvesting from transverse galloping , 2010 .

[26]  Borue,et al.  Inverse energy cascade in stationary two-dimensional homogeneous turbulence. , 1994, Physical review letters.

[27]  Y. Andreopoulos,et al.  Fluidic energy harvesting beams in grid turbulence , 2015 .

[28]  Yiannis Andreopoulos,et al.  Energy harvesting prospects in turbulent boundary layers by using piezoelectric transduction , 2015 .

[29]  Heath Hofmann,et al.  Damping as a result of piezoelectric energy harvesting , 2004 .

[30]  N. Elvin,et al.  Energy Harvesting from Highly Unsteady Fluid Flows using Piezoelectric Materials , 2010 .

[31]  A. A. Elvin,et al.  Vibrational Energy Harvesting From Human Gait , 2013, IEEE/ASME Transactions on Mechatronics.

[32]  Yiannis Andreopoulos,et al.  Green׳s function method for piezoelectric energy harvesting beams , 2014 .

[33]  Norbert Schwesinger,et al.  A Novel Hydropower Harvesting Device , 2004, 2004 International Conference on MEMS, NANO and Smart Systems (ICMENS'04).