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Large-scale energetic coherent structures and their effects on wall mass transfer rate behind orifice in round pipe

Published online by Cambridge University Press:  21 September 2021

F. Shan*
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China China-EU Institute for Clean and Renewable Eenergy, Huazhong University of Science and Technology, Wuhan 430074, PR China
S.Y. Qin
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China
Y. Xiao
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China
A. Watanabe
Affiliation:
Department of Energy Engineering and Science, Nagoya University, Nagoya 464-8603, Japan
M. Kano
Affiliation:
Department of Energy Engineering and Science, Nagoya University, Nagoya 464-8603, Japan
F.Y. Zhou
Affiliation:
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, PR China
Z.C. Liu
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China
W. Liu
Affiliation:
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China
Y. Tsuji*
Affiliation:
Department of Energy Engineering and Science, Nagoya University, Nagoya 464-8603, Japan
*
Email addresses for the correspondence: [email protected], [email protected]
Email addresses for the correspondence: [email protected], [email protected]

Abstract

This paper first uses a low-speed stereoscopic particle image velocimetry (SPIV) system to measure the convergent statistical quantities of the flow field and then simultaneously measure the time-resolved flow field and the wall mass transfer rate by a high-speed SPIV system and an electrochemical system, respectively. We measure the flow field and wall mass transfer rate under upstream pipe Reynolds numbers between 25 000 and 55 000 at three specific locations behind the orifice plate. Moreover, we apply proper orthogonal decomposition (POD), stochastic estimation and spectral analysis to study the properties of the flow field and the wall mass transfer rate. More importantly, we investigate the large-scale coherent structures’ effects on the wall mass transfer rate. The collapse of the wall mass transfer rates’ spectra by the corresponding time scales at the three specific positions of orifice flow suggest that the physics of low-frequency wall mass transfer rates are probably the same, although the flow fields away from the wall are quite different. Furthermore, the spectra of the velocity reconstructed by the most energetic eigenmodes agree well with the wall mass transfer rate in the low-frequency region, suggesting that the first several energetic eigenmodes capture the flow dynamics relevant to the low-frequency variation of the wall mass transfer. Stochastic estimation results of the velocity field associated with large wall mass transfer rate at all three specific locations further reveal that the most energetic coherent structures are correlated with the wall mass transfer rate.

Type
JFM Papers
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

Adrian, R.J. 1977 On the role of conditional averages in turbulence theory. Turbulence in Liquids, 323332.Google Scholar
Adrian, R.J. 1994 Stochastic estimation of conditional structure: a review. Appl. Sci. Res. 53 (3), 291303.CrossRefGoogle Scholar
Adrian, R.J., Christensen, K.T. & Liu, Z.C. 2000 Analysis and interpretation of instantaneous turbulent velocity fields. Exp. Fluids 29 (3), 275290.CrossRefGoogle Scholar
Ahmed, W.H., Bello, M.M., El Nakla, M. & Al Sarkhi, A. 2012 Flow and mass transfer downstream of an orifice under flow accelerated corrosion conditions. Nucl. Engng Des. 252, 5267.CrossRefGoogle Scholar
Chilton, T.H. & Colburn, A.P. 1934 Mass transfer (absorption) coefficients prediction from data on heat transfer and fluid friction. Ind. Engng Chem. 26 (11), 11831187.CrossRefGoogle Scholar
Citriniti, J. & George, W.K. 2000 Reconstruction of the global velocity field in the axisymmetric mixing layer utilizing the proper orthogonal decomposition. J. Fluid Mech. 418, 137166.CrossRefGoogle Scholar
Durst, F. & Wang, A.-B. 1989 Experimental and numerical investigations of the axisymmetric, turbulent pipe flow over a wall-mounted thin obstacle. In Proceedings of the 7th Symposium on Turbulent Shear Flows, Stanford, CA, 21st to 23rd August, 1989. Vol. 1, pp. 10.4.1–10.4.6 (A90-35176 15-34). University Park, PA, Pennsylvania State University.Google Scholar
El-Gammal, M., Ahmed, W.H. & Ching, C.Y. 2012 Investigation of wall mass transfer characteristics downstream of an orifice. Nucl. Engng Des. 242, 353360.CrossRefGoogle Scholar
Gamard, S., George, W.K., Jung, D. & Woodward, S. 2002 Application of a “slice” proper orthogonal decomposition to the far field of an axisymmetric turbulent jet. Phys. Fluids 14 (7), 25152522.CrossRefGoogle Scholar
George, W.K. 1988 Insight into the dynamics of coherent structures from a proper orthogonal decomposition. In Symposium on Near Wall Turbulence, Dubrovnik, Yugoslavia, 16–20 May, 1988.Google Scholar
Glauser, M. & George, W. 1987. Orthogonal decomposition of the axisymmetric jet mixing layer including azimuthal dependence. In Advances in Turbulence, pp. 357–366. Springer.CrossRefGoogle Scholar
Gordeyev, S.V. & Thomas, F.O. 2000 Coherent structure in the turbulent planar jet. Part 1. Extraction of proper orthogonal decomposition eigenmodes and their self-similarity. J. Fluid Mech. 414, 145194.CrossRefGoogle Scholar
Guezennec, Y.G. 1989 Stochastic estimation of coherent structures in turbulent boundary layers. Phys. Fluids A: Fluid Dyn. 1 (6), 10541060.CrossRefGoogle Scholar
Hanratty, T.J. 1983 Measurement of wall shear stress. Fluid Mech. Meas. 559615.Google Scholar
Hellström, L.H., Ganapathisubramani, B. & Smits, A.J. 2015 The evolution of large-scale motions in turbulent pipe flow. J. Fluid Mech. 779, 701715.CrossRefGoogle Scholar
Hellström, L.H., Marusic, I. & Smits, A.J. 2016 Self-similarity of the large-scale motions in turbulent pipe flow. J. Fluid Mech. 792, R1.CrossRefGoogle Scholar
Hellstrom, L. & Smits, A. 2014 The energetic motions in turbulent pipe flow. Phys. Fluids 26 (12), 125102.CrossRefGoogle Scholar
Iqbal, M.O. & Thomas, F.O. 2007 Coherent structure in a turbulent jet via a vector implementation of the proper orthogonal decomposition. J. Fluid Mech. 571, 281326.CrossRefGoogle Scholar
Johansson, P.B.V., George, W.K. & Woodward, S.H. 2002 Proper orthogonal decomposition of an axisymmetric turbulent wake behind a disk. Phys. Fluids 14 (7), 25082514.CrossRefGoogle Scholar
Liu, Z., Adrian, R.J. & Hanratty, T.J. 2001 Large-scale modes of turbulent channel flow: transport and structure. J. Fluid Mech. 448, 5380.CrossRefGoogle Scholar
Lumley, J.L. 1970 Stochastic tools in turbulence. Courier Corporation.Google Scholar
Lumley, J.L. 1981 Coherent structures in turbulence. In Transition and Turbulence (ed. R.E. Meyer), pp. 215–242. Academic Press.CrossRefGoogle Scholar
Marusic, I., Mathis, R. & Hutchins, N. 2010 Predictive model for wall-bounded turbulent flow. Science 329 (5988), 193196.CrossRefGoogle ScholarPubMed
Murray, N. & Ukeiley, L. 2002 Estimating the shear layer velocity field above an open cavity from surface pressure measurements. In 32nd AIAA Fluid Dynamics Conference and Exhibit. 24-26 June 2002, St. Louis, Missouri, 2866-2873.Google Scholar
Naguib, A.M., Wark, C.E. & Juckenhöfel, O. 2001 Stochastic estimation and flow sources associated with surface pressure events in a turbulent boundary layer. Phys. Fluids 13 (9), 26112626.CrossRefGoogle Scholar
Prandtl, L. & Tietjens, O.K.G. 1934 Applied Hydro-and Aeromechanics. Engineering Socieries Monograph. McGraw Hill.Google Scholar
Rani, H.P., Divya, T., Sahaya, R.R., Kain, V. & Barua, D.K. 2013 Numerical investigation of energy and Reynolds stress distribution for a turbulent flow in an orifice. Engng Fail. Anal. 34, 451463.CrossRefGoogle Scholar
Rizk, T., Thompson, G. & Dawson, J. 1996 Mass transfer enhancement associated with sudden flow expansion. Corros. Sci. 38 (10), 18011814.CrossRefGoogle Scholar
Sciacchitano, A. 2019 Uncertainty quantification in particle image velocimetry. Meas. Sci. Technol. 30 (9), 092001.CrossRefGoogle Scholar
Selman, J.R. & Tobias, C.W. 1978 Mass-transfer measurements by the limiting-current technique. Adv. Chem. Engng 10 (21), 1318.Google Scholar
Shan, F., Fujishiro, A., Tsuneyoshi, T. & Tsuji, Y. 2013 Particle image velocimetry measurements of flow field behind a circular square-edged orifice in a round pipe. Exp. Fluids 54 (6), 1553.CrossRefGoogle Scholar
Shan, F., Fujishiro, A., Tsuneyoshi, T. & Tsuji, Y. 2014 Effects of flow field on the wall mass transfer rate behind a circular orifice in a round pipe. Intl J. Heat Mass Transfer 73, 542550.CrossRefGoogle Scholar
Shan, F., Liu, Z., Liu, W. & Tsuji, Y. 2016 On flow structures associated with large wall mass transfer coefficients in orifice flows. Intl J. Heat Mass Transfer 102, 19.CrossRefGoogle Scholar
Tinney, C., Glauser, M., Eaton, E. & Taylor, J. 2006 Low-dimensional azimuthal characteristics of suddenly expanding axisymmetric flows. J. Fluid Mech. 567, 141155.CrossRefGoogle Scholar
Tinney, C.E., Glauser, M.N. & Ukeiley, L.S. 2008 Low-dimensional characteristics of a transonic jet. Part 1. Proper orthogonal decomposition. J. Fluid Mech. 612, 107141.CrossRefGoogle Scholar
Tong, T., Bhatt, K., Tsuneyoshi, T. & Tsuji, Y. 2020 Effect of large-scale structures on wall shear stress fluctuations in pipe flow. Phys. Rev. Fluids 5 (10), 104601.CrossRefGoogle Scholar
Tong, T., Tsuneyoshi, T., Ito, T. & Tsuji, Y. 2018 Instantaneous mass transfer measurement and its relation to large-scale structures in pipe flow. Intl J. Heat Fluid Flow 71, 160169.CrossRefGoogle Scholar
Tong, T., Tsuneyoshi, T. & Tsuji, Y. 2019 Shear stress fluctuation measurements using an electrochemical method in pipe flow. J. Fluid Sci. Technol. 14 (2), JFST0013.CrossRefGoogle Scholar
Tutkun, M. & George, W.K. 2017 Lumley decomposition of turbulent boundary layer at high Reynolds numbers. Phys. Fluids 29 (2), 020707.CrossRefGoogle Scholar
Utanohara, Y., Nagaya, Y., Nakamura, A. & Murase, M. 2012 Influence of local flow field on flow accelerated corrosion downstream from an orifice. J. Power Energy Syst. 6 (1), 1833.CrossRefGoogle Scholar
Westerweel, J. & Scarano, F. 2005 Universal outlier detection for PIV data. Exp. Fluids 39 (6), 10961100.CrossRefGoogle Scholar
White, F.M. 2011 Fluid Mechanics. McGraw-Hill.Google Scholar
Wieneke, B. 2015 PIV uncertainty quantification from correlation statistics. Meas. Sci. Technol. 26 (7), 074002.CrossRefGoogle Scholar
Wieneke, B. & Pfeiffer, K. 2010 Adaptive PIV with variable interrogation window size and shape. In 15th Int Symp on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 05-08 July, 2010.Google Scholar
Yamagata, T., Ito, A., Sato, Y. & Fujisawa, N. 2014 Experimental and numerical studies on mass transfer characteristics behind an orifice in a circular pipe for application to pipe-wall thinning. Exp. Therm. Fluid Sci. 52, 239247.CrossRefGoogle Scholar