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Quench-Spot Detection for Superconducting Accelerator Cavities Via Flow Visualization in Superfluid Helium-4
Phys. Rev. Applied 11, 044003 – Published 1 April, 2019
DOI: https://doi.org/10.1103/PhysRevApplied.11.044003
Abstract
Superconducting radio-frequency (SRF) cavities, cooled by superfluid helium-4 ( II), are key components in modern particle accelerators. Quenches in SRF cavities caused by Joule heating from local surface defects can severely limit the maximum achievable accelerating field. Existing methods for quench-spot detection include temperature mapping and second-sound triangulation. These methods are useful but also have known limitations. Here we describe an alternative method for surface quench-spot detection by visualizing the heat transfer in II via tracking molecular tracer lines. A proof-of-concept experiment is conducted, in which a miniature heater mounted on a plate is pulsed on to simulate a surface quench spot. A tracer line created nearby the heater deforms due to the counterflow heat transfer in II. By analyzing the tracer-line deformation, we well reproduce the heater location within a few hundred microns, which clearly demonstrates the feasibility of this alternative technology. Our analysis also reveals that the heat content transported in II is only a small fraction of the total input heat energy. We show that the remaining energy is essentially consumed in the formation of a cavitation zone near the heater. By estimating the size of this cavitation zone, we discuss how the existence of the cavitation zone may explain a decades-long puzzle observed in many past second-sound triangulation experiments.
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References (67)
- A. Nassiri, B. Chase, P. Craievich, A. Fabris, H. Frischholz, J. Jacob, E. Jensen, M. Jensen, R. Kustom, and R. Pasquinelli, History and technology developments of radio frequency (RF) systems for particle accelerators, IEEE Trans. Nucl. Sci. 63, 707 (2016).
- H. Padamsee, 50 years of success for SRF accelerators—a review, Supercond. Sci. Technol. 30, 053003 (2017).
- H. Padamsee, J. Knobloch, and T. Hays, RF Superconductivity for Accelerators, Wiley Series in Beam Physics and Accelerator Technology (Wiley, New York, 2008).
- M. Ge, G. Wu, J. Ruan, J. Ozelis, E. Borissov, T. Nicol, D. Hicks, D. A. Sergatskov, and L. D. Cooley, in Proceedings of SRF2011 (Chicago, 2011), p. 740.
- K. Watanabe, H. Hayano, and Y. Iwashita, in Proceedings of SRF2011 (Chicago, 2011), p. 598.
- Z. A. Conway, M. Ge, and Y. Iwashita, Instrumentation for localized superconducting cavity diagnostics, Supercond. Sci. Technol. 30, 034002 (2017).
- J. Knobloch, H. Muller, and H. Padamsee, Design of a high speed, high resolution thermometry system for 1.5 GHz superconducting radio frequency cavities, Rev. Sci. Instrum. 65, 3521 (1994).
- A. Canabal, T. Tajima, F. Krawczyk, W. Haynes, R. Roybal, J. Sedillo, and S. Cohen, in Proceedings of EPAC08 (Genoa, 2008), p. 841.
- Q. S. Shu, T. Junquera, A. Caruette, G. Deppe, M. Fouaidy, W.-D. Moeller, M. Pekeler, D. Proch, D. Renken, and C. Stolzenburg, in Advances in Cryogenic Engineering, A Cryogenic Engineering Conference Publication (Springer, Boston, 1996), p. 895.
- H. Sakai, K. Shinoe, T. Furuya, T. Takahashi, K. Umemori, and M. Sawamura, in Proceedings of EPAC08 (Genoa, 2008), p. 907.
- Z. A. Conway, D. L. Hartill, H. S. Padamsee, and E. N. Smith, in Proceedings of SRF2009 (Berlin, 2009), p. 113.
- D. R. Tilley and J. Tilley, Superfluidity and Superconductivity (Institute of Physics Publishing, Bristol and Philadelphia, 1990), 3rd ed.
- L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, Oxford, 1987), 2nd ed., Vol. 6.
- S. W. Van Sciver, Helium Cryogenics, International Cryogenics Monograph Series (Springer, New York, 2012), 2nd ed.
- R. A. Sherlock and D. O. Edwards, Oscillating superleak second sound transducers, Rev. Sci. Instrum. 41, 1603 (1970).
- K. W. Shepard, C. H. Scheibelhut, P. Markovich, R. Benaroya, and L. M. Bollinger, Development and production of superconducting resonators for the argonne heavy ion linac, IEEE Trans. Magn. 15, 666 (1979).
- A. Lunt, Z. Kovács, H. Furci, T. Koettig, F. Léaux, and G. Vandoni, Towards robust design of thin film transition edge sensors for use in the next-generation superconducting radio frequency cavities, Mater. Des. 122, 403 (2017).
- Y. Maximenko, Can we locate the quench origin with second sound?, Fermilab PARTI 2010 Summer Internship Report Fermilab PARTI 2010 Summer Internship Report (Fermilab, USA, 2010).
- R. Eichhorn, D. Hartill, G. Hoffstaetter, and S. Markham, in Proceedings of SRF2015 (Whistler, 2015), p. 804.
- R. Eichhorn and S. Markham, On the mystery of using helium’s second sound for quench detection of a superconducting cavity, Phys. Procedia 67, 822 (2015).
- B. J. Peters, Diploma Thesis, Karlsruhe Institute of Technology, Karlsruhe, 2014.
- T. Junginger, P. Horn, T. Koettig, K. Liao, A. Macpherson, and B. J. Peters, in Proceedings of SRF2015 (Whistler, 2015), p. 201.
- J. Plouin, J. P. Charrier, C. Magne, L. Maurice, and J. Novo, in Proceedings of SRF2013 (Paris, 2013), p. 739.
- M. Bertucci, A. Bosotti, L. Garolfi, P. Michelato, L. Monaco, D. Sertore, and C. Pagani, in Proceedings of SRF2013 (Paris, 2013), p. 710.
- M. Wenskat, Automated optical inspection and image analysis of superconducting radio-frequency cavities, J. Instrum. 12, P05016 (2017).
- Y. Iwashita, Y. Tajima, and H. Hayano, Development of high resolution camera for observations of superconducting cavities, Phys. Rev. Spec. Top. - Accel. Beams 11, 093501 (2008).
- Y. Maximenko and D. A. Segatskov, Quench dynamics in SRF cavities: Can we locate the quench origin with 2nd sound?, FERMILAB-CONF-11-152-TD FERMILAB-CONF-11-152-TD (FERMILAB, United States, 2011).
- J. R. Torczynski, On the interaction of second sound shock waves and vorticity in superfluid helium, Phys. Fluids 27, 2636 (1984).
- W. Guo, M. La Mantia, D. P. Lathrop, and S. W. Van Sciver, Visualization of two-fluid flows of superfluid helium-4, Proc. Natl. Acad. Sci. U. S. A. 111, 4653 (2014).
- J. Gao, A. Marakov, W. Guo, B. T. Pawlowski, S. W. Van Sciver, G. G. Ihas, D. N. McKinsey, and W. F. Vinen, Producing and imaging a thin line of molecular tracers in helium-4, Rev. Sci. Instrum. 86, 093904 (2015).
- A. Marakov, J. Gao, W. Guo, S. W. Van Sciver, G. G. Ihas, D. N. McKinsey, and W. F. Vinen, Visualization of the normal-fluid turbulence in counterflowing superfluid , Phys. Rev. B 91, 094503 (2015).
- A. Quadt, B. Schröder, M. Uhrmacher, J. Weingarten, B. Willenberg, and H. Vennekate, Response of an oscillating superleak transducer to a pointlike heat source, Phys. Rev. Spec. Top. - Accel. Beams 15, 031001 (2012).
- M. Fouaidy, F. Dubois, J.-M. Dufour, D. Longuevergne, G. Michel, A. Maroni, and J.-F. Yaniche, in Proceedings of SRF2013 (Paris, 2013), p. 714.
- M. Fouaidy, D. Longuevergne, F. Dubois, O. Pochon, and J.-F. Yaniche, Detection and location of SRF bulk niobium cavities quench using second sound sensitive sensors in superfluid helium, IOP Conf. Ser. Mater. Sci. Eng. 171, 012110 (2017).
- A. V. Benderskii, R. Zadoyan, N. Schwentner, and V. A. Apkarian, Photodynamics in superfluid helium: Femtosecond laser-induced ionization, charge recombination, and preparation of molecular Rydberg states, J. Chem. Phys. 110, 1542 (1999).
- A. V. Benderskii, J. Eloranta, R. Zadoyan, and V. A. Apkarian, A direct interrogation of superfluidity on molecular scales, J. Chem. Phys. 117, 1201 (2002).
- D. N. McKinsey, C. R. Brome, J. S. Butterworth, S. N. Dzhosyuk, P. R. Huffman, C. E. H. Mattoni, J. M. Doyle, R. Golub, and K. Habicht, Radiative decay of the metastable () molecule in liquid helium, Phys. Rev. A 59, 200 (1999).
- W. G. Rellergert, S. B. Cahn, A. Garvan, J. C. Hanson, W. H. Lippincott, J. A. Nikkel, and D. N. McKinsey, Detection and Imaging of Molecules in Superfluid Helium, Phys. Rev. Lett. 100, 025301 (2008).
- J. Gao, W. Guo, and W. F. Vinen, Determination of the effective kinematic viscosity for the decay of quasiclassical turbulence in superfluid , Phys. Rev. B 94, 094502 (2016).
- J. Gao, W. Guo, V. S. L’vov, A. Pomyalov, L. Skrbek, E. Varga, and W. F. Vinen, Decay of counterflow in superfluid , JETP Lett. 103, 648 (2016).
- J. Gao, E. Varga, W. Guo, and W. F. Vinen, Energy spectrum of thermal counterflow turbulence in superfluid helium-4, Phys. Rev. B 96, 094511 (2017).
- J. Gao, W. Guo, S. Yui, M. Tsubota, and W. F. Vinen, Dissipation in quantum turbulence in superfluid above 1 K, Phys. Rev. B 97, 184518 (2018).
- E. Varga, J. Gao, W. Guo, and L. Skrbek, Intermittency enhancement in quantum turbulence in superfluid , Phys. Rev. Fluids 3, 094601 (2018).
- R. J. Donnelly and C. F. Barenghi, The observed properties of liquid helium at the saturated vapor pressure, J. Phys. Chem. Ref. Data 27, 1217 (1998).
- W. F. Vinen, Mutual friction in a heat current in liquid helium II I. Experiments on steady heat currents, Proc. R. Soc. A 240, 114 (1957).
- W. F. Vinen, Mutual friction in a heat current in liquid helium II III. Theory of the mutual friction, Proc. R. Soc. A 242, 493 (1957).
- R. J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991).
- T. Shimazaki, M. Murakami, and T. Iida, Second sound wave heat transfer, thermal boundary layer formation and boiling: Highly transient heat transport phenomena in II, Cryogenics 35, 645 (1995).
- T. Iida, M. Murakami, T. Shimazaki, and H. Nagai, Visualization study on the thermo-hydrodynamic phenomena induced by pulsative heating in II by the use of a laser holographic interferometer, Cryogenics 36, 943 (1996).
- D. K. Hilton and S. W. Van Sciver, Direct measurements of quantum turbulence induced by second sound shock pulses in helium II, J. Low Temp. Phys. 141, 47 (2005).
- H. Schlichting, Boundary-Layer Theory. McGraw-Hill Series in Mechanical Engineering (McGraw-Hill, NewYork, 1979), 7th ed.
- S. Pulkkinen, M. M. Mäkelä, and N. Karmitsa, A generative model and a generalized trust region Newton method for noise reduction, Comput. Optim. Appl. 57, 129 (2014).
- T. Zhang and S. W. Van Sciver, Use of the particle image velocimetry technique to study the propagation of second sound shock in superfluid helium, Phys. Fluids 16, L99 (2004).
- W. F. Vinen, Mutual friction in a heat current in liquid helium II II. Experiments on transient effects, Proc. R. Soc. A 240, 128 (1957).
- T. Shimazaki, M. Murakami, and T. Kanari, Measurement of characteristic time for quantized vortex tangle development in II, Cryogenics 38, 601 (1998).
- W. F. Vinen and J. J. Niemela, Quantum turbulence, J. Low Temp. Phys. 128, 167 (2002).
- A. Prosperetti, Vapor bubbles, Annu. Rev. Fluid Mech. 49, 221 (2017).
- M. K. Gupta, D. S. Sharma, and V. J. Lakhera, Vapor bubble formation, forces, and induced vibration: A review, Appl. Mech. Rev. 68, 030801 (2016).
- W. Lauterborn and H. Bolle, Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary, J. Fluid Mech. 72, 391 (1975).
- A. Vogel, W. Lauterborn, and R. Timm, Optical and acoustic investigations of the dynamics of laser-produced cavitation bubbles near a solid boundary, J. Fluid Mech. 206, 299 (1989).
- B. Liu, J. Cai, F. C. Li, and X. L. Huai, Simulation of heat transfer with the growth and collapse of a cavitation bubble near the heated wall, J. Therm. Sci. 22, 352 (2013).
- P. Zhang, M. Murakami, and R. Z. Wang, Study of liquid column oscillation and vapour bubble oscillation resulting from film boiling in II, J. Phys. Appl. Phys. 34, 3296 (2001).
- E. S. Bosque, R. C. Dhuley, and S. W. Van Sciver, Transient heat transfer in helium II due to sudden vacuum break, AIP Conf. Proc. 1573, 260 (2014).
- K. Liao, O. Brunner, E. Ciapala, T. Junginger, and W. Weingarten, in International Particle Accelerator Conference (N. Orleans, 2012).
- T. Koettig, B. J. Peters, S. Avellino, T. Junginger, and J. Bremer, Study of temperature wave propagation in superfluid helium focusing on radio-frequency cavity cooling, IOP Conf. Ser.: Mater. Sci. Eng. 101, 012164 (2015).
- H. Hu and M. M. Koochesfahani, Molecular tagging velocimetry and thermometry and its application to the wake of a heated circular cylinder, Meas. Sci. Technol. 17, 1269 (2006).
- D. G. Bohl, M. M. Koochesfahani, and B. J. Olson, Development of stereoscopic molecular tagging velocimetry, Exp. Fluids 30, 302 (2001).