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Статті в журналах з теми "Reentrant Cavity"

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Автор: Grafiati

Опубліковано: 6 вересня 2023

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1

Migliuolo, M., and T. G. Castner. "Novel tunable reentrant microwave cavity." Review of Scientific Instruments 59, no. 2 (February 1988): 388–90. http://dx.doi.org/10.1063/1.1140216.

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2

Paoloni, Claudio. "Periodically Allocated Reentrant Cavity Klystron." IEEE Transactions on Electron Devices 61, no. 6 (June 2014): 1687–91. http://dx.doi.org/10.1109/ted.2014.2301813.

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3

Uhlman, James S. "A Note on the Development of a Nonlinear Axisymmetric Reentrant Jet Cavitation Model." Journal of Ship Research 50, no. 03 (September 1, 2006): 259–67. http://dx.doi.org/10.5957/jsr.2006.50.3.259.

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Анотація:

The boundary integral method is formulated for the problem of the fully nonlinear, axisymmetric potential flow past a body of revolution. A model is devised for the exact formulation of the reentrant jet cavity closure condition. It is demonstrated that the solution obtained is essentially independent of the length selected for the jet. Results obtained using the reentrant jet cavity closure model are compared with those obtained using the Riabouchinsky-type cavity closure model used by Uhlman (1987, 1989) and with experimental results. The agreement between the two cavity closure models is seen to be excellent, with the Riabouchinsky wall results deviating only slightly at short cavity lengths. The agreement of the reentrant jet model with the experimental data is also excellent, although the addition of the viscous component of drag is seen to be required for cavitating cones of sufficiently small half-angle.

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4

Sheng-Lung Huang, Ying-Hui Chen, Pi-Ling Huang, Jui-Yun Yi, and Huy-Zu Cheng. "Multi-reentrant nonplanar ring laser cavity." IEEE Journal of Quantum Electronics 38, no. 10 (October 2002): 1301–8. http://dx.doi.org/10.1109/jqe.2002.802955.

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5

Carvalho, N. C., Y. Fan, J.-M. Le Floch, and M. E. Tobar. "Piezoelectric voltage coupled reentrant cavity resonator." Review of Scientific Instruments 85, no. 10 (October 2014): 104705. http://dx.doi.org/10.1063/1.4897482.

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6

Tiwari, Ashish Kumar, and P. R. Hannurkar. "Electromagnetic Analysis of Reentrant Klystron Cavity." Journal of Infrared, Millimeter, and Terahertz Waves 31, no. 10 (August 25, 2010): 1221–24. http://dx.doi.org/10.1007/s10762-010-9701-5.

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7

Bansiwal, Ashok, Sushil Raina, K. J. Vinoy, and Subrata Kumar Datta. "Effect of Beam tunnels on Resonant Frequency of Cylindrical Reentrant Cavity." Defence Science Journal 71, no. 03 (May 17, 2021): 332–36. http://dx.doi.org/10.14429/dsj.71.16814.

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Analytical formulations for the resonant frequency of a reentrant cavity for klystron are available in the literature only for such cavities having a single beam-tunnel. An improved analytical formulation has been proposed in this paper for the calculation of cavity gap-capacitance of reentrant cavities having single and multiple beam-tunnels and its effects on the resonant frequency are studied. The results obtained through analysis have been validated against those obtained from the 3D electromagnetic field simulations and measurements. The proposed analytical formulation provides good estimation of resonant frequency of cavity with single and multiple beam-tunnels.

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8

Nouroozi, M., M. Pasandidehfard, and M. H. Djavareshkian. "Simulation of Partial and Supercavitating Flows around Axisymmetric and Quasi-3D Bodies by Boundary Element Method Using Simple and Reentrant Jet Models at the Closure Zone of Cavity." Mathematical Problems in Engineering 2016 (2016): 1–13. http://dx.doi.org/10.1155/2016/1593849.

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A fixed-length Boundary Element Method (BEM) is used to investigate the super- and partial cavitating flows around various axisymmetric bodies using simple and reentrant jet models at the closure zone of cavity. Also, a simple algorithm is proposed to model the quasi-3D cavitating flows over elliptical-head bodies using the axisymmetric method. Cavity and reentrant jet lengths are the inputs of the problem and the cavity shape and cavitation number are some of the outputs of this simulation. A numerical modeling based on Navier-Stokes equations using commercial CFD code (Fluent) is performed to evaluate the BEM results (in 2D and 3D cases). The cavitation properties approximated by the present research study (especially with the reentrant jet model) are very close to the results of other experimental and numerical solutions. The need for a very short time (only a few minutes) to reach the desirable convergence and relatively good accuracy are the main advantages of this method.

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9

Seo, Dongjin, Alex M. Schrader, Szu-Ying Chen, Yair Kaufman, Thomas R. Cristiani, Steven H. Page, Peter H. Koenig, Yonas Gizaw, Dong Woog Lee, and Jacob N. Israelachvili. "Rates of cavity filling by liquids." Proceedings of the National Academy of Sciences 115, no. 32 (July 19, 2018): 8070–75. http://dx.doi.org/10.1073/pnas.1804437115.

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Understanding the fundamental wetting behavior of liquids on surfaces with pores or cavities provides insights into the wetting phenomena associated with rough or patterned surfaces, such as skin and fabrics, as well as the development of everyday products such as ointments and paints, and industrial applications such as enhanced oil recovery and pitting during chemical mechanical polishing. We have studied, both experimentally and theoretically, the dynamics of the transitions from the unfilled/partially filled (Cassie–Baxter) wetting state to the fully filled (Wenzel) wetting state on intrinsically hydrophilic surfaces (intrinsic water contact angle <90°, where the Wenzel state is always the thermodynamically favorable state, while a temporary metastable Cassie–Baxter state can also exist) to determine the variables that control the rates of such transitions. We prepared silicon wafers with cylindrical cavities of different geometries and immersed them in bulk water. With bright-field and confocal fluorescence microscopy, we observed the details of, and the rates associated with, water penetration into the cavities from the bulk. We find that unconnected, reentrant cavities (i.e., cavities that open up below the surface) have the slowest cavity-filling rates, while connected or non-reentrant cavities undergo very rapid transitions. Using these unconnected, reentrant cavities, we identified the variables that affect cavity-filling rates: (i) the intrinsic contact angle, (ii) the concentration of dissolved air in the bulk water phase (i.e., aeration), (iii) the liquid volatility that determines the rate of capillary condensation inside the cavities, and (iv) the presence of surfactants.

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10

Fan, Yaohui, Zhengyu Zhang, Natalia C. Carvalho, Jean-Michel Le Floch, Qingxiao Shan, and Michael E. Tobar. "Investigation of Higher Order Reentrant Modes of a Cylindrical Reentrant-Ring Cavity Resonator." IEEE Transactions on Microwave Theory and Techniques 62, no. 8 (August 2014): 1657–62. http://dx.doi.org/10.1109/tmtt.2014.2331625.

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11

Brown, M. R., T. E. Sheridan, and M. A. Hayes. "Reentrant cavity as a low‐power plasma source." Review of Scientific Instruments 57, no. 12 (December 1986): 2957–60. http://dx.doi.org/10.1063/1.1139023.

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12

Carter, R. G., Jinjun Feng, and U. Becker. "Calculation of the Properties of Reentrant Cylindrical Cavity Resonators." IEEE Transactions on Microwave Theory and Techniques 55, no. 12 (December 2007): 2531–38. http://dx.doi.org/10.1109/tmtt.2007.909750.

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13

Bansiwal, Ashok, Sushil Raina, K. J. Vinoy, and S. K. Datta. "A Broadband Rectangular Reentrant Cavity for Multiple-Beam Klystron." IEEE Transactions on Electron Devices 66, no. 7 (July 2019): 3168–70. http://dx.doi.org/10.1109/ted.2019.2916222.

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14

Huang, Pi-Ling, Chun-Jen Weng, Hung-T'sang Tuan, Shen-Chuang Pei, Yung-Hsin Chang, and Sheng-Lung Huang. "Polarization Analysis of a Nonplanar Reentrant Ring Laser Cavity." Japanese Journal of Applied Physics 42, Part 1, No. 6A (June 15, 2003): 3403–8. http://dx.doi.org/10.1143/jjap.42.3403.

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15

Tuan, Hung-Tsang, and Sheng-Lung Huang. "Analysis of reentrant two-mirror nonplanar ring laser cavity." Journal of the Optical Society of America A 22, no. 11 (November 1, 2005): 2476. http://dx.doi.org/10.1364/josaa.22.002476.

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16

de Paula, L. A. N., M. Goryachev, and M. E. Tobar. "Experiments match simulations in a multiple post reentrant cavity." Review of Scientific Instruments 88, no. 12 (December 2017): 125104. http://dx.doi.org/10.1063/1.4997626.

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17

Ishihara, Y., and N. Wadamori. "Localized heating characteristics of hyperthermia using a reentrant cavity." Journal of Medical Engineering & Technology 32, no. 5 (January 2008): 348–57. http://dx.doi.org/10.1080/03091900802058953.

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18

Li, XiaoJing, ShunQi Zheng, BaoRong Zhao, XiWen Zhang, and WeiZhong Tang. "Design and Numerical Simulation of Novel Reentrant Microwave Cavity." Physics Procedia 22 (2011): 101–6. http://dx.doi.org/10.1016/j.phpro.2011.11.016.

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19

Onodera, T., and T. Hoashi. "Generalized representation of beam coupling coefficient in ungridded reentrant cavity." IEEE Transactions on Electron Devices 45, no. 8 (1998): 1858–60. http://dx.doi.org/10.1109/16.704395.

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20

Lu, Fei, Yanjie Guo, Qiulin Tan, Tanyong Wei, Guozhu Wu, Haixing Wang, Lei Zhang, Xiaowei Guo, and Jijun Xiong. "Highly Sensitive Reentrant Cavity-Microstrip Patch Antenna Integrated Wireless Passive Pressure Sensor for High Temperature Applications." Journal of Sensors 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/3417562.

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Анотація:

A novel reentrant cavity-microstrip patch antenna integrated wireless passive pressure sensor was proposed in this paper for high temperature applications. The reentrant cavity was analyzed from aspects of distributed model and equivalent lumped circuit model, on the basis of which an optimal sensor structure integrated with a rectangular microstrip patch antenna was proposed to better transmit/receive wireless signals. In this paper, the proposed sensor was fabricated with high temperature resistant alumina ceramic and silver metalization with weld sealing, and it was measured in a hermetic metal tank with nitrogen pressure loading. It was verified that the sensor was highly sensitive, keeping stable performance up to 300 kPa with an average sensitivity of 981.8 kHz/kPa at temperature 25°C, while, for high temperature measurement, the sensor can operate properly under pressure of 60–120 kPa in the temperature range of 25–300°C with maximum pressure sensitivity of 179.2 kHz/kPa. In practical application, the proposed sensor is used in a method called table lookup with a maximum error of 5.78%.

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21

Srinivasan, Sudharsan, and Pierre-André Duperrex. "Dielectric-Filled Reentrant Cavity Resonator as a Low-Intensity Proton Beam Diagnostic." Instruments 2, no. 4 (November 7, 2018): 24. http://dx.doi.org/10.3390/instruments2040024.

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Measurement of the proton beam current (0.1–40 nA) at the medical treatment facility PROSCAN at the Paul Scherrer Institut (PSI) is performed with ionization chambers. To mitigate the scattering issues and to preserve the quality of the beam delivered to the patients, a non-interceptive monitor based on the principle of a reentrant cavity resonator has been built. The resonator with a fundamental resonance frequency of 145.7 MHz was matched to the second harmonic of the pulse repetition rate (72.85 MHz) of the beam extracted from the cyclotron. This was realized with the help of ANSYS HFSS (High Frequency Structural Simulator) for network analysis. Both, the pickup position and dielectric thickness were optimized. The prototype was characterized with a stand-alone test bench. There is good agreement between the simulated and measured parameters. The observed deviation in the resonance frequency is attributed to the frequency dependent dielectric loss tangent. Hence, the dielectric had to be resized to tune the resonator to the design resonance frequency. The measured sensitivity performances were in agreement with the expectations. We conclude that the dielectric reentrant cavity resonator is a promising candidate for measuring low proton beam currents in a non-destructive manner.

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22

Muzhaimey, Syarif Syahrul Syazwan, Nik Nazri Nik Ghazali, Mohd Zamri Zainon, Irfan Anjum Badruddin, Mohamed Hussien, Sarfaraz Kamangar, and N. Ameer Ahammad. "Numerical Investigation of Heat Transfer Enhancement in a Microchannel with Conical-Shaped Reentrant Cavity." Mathematics 10, no. 22 (November 18, 2022): 4330. http://dx.doi.org/10.3390/math10224330.

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The current study is focused on improving the thermal performance of the microchannel heat sink (MCHS) using the passive reentrant cavity approach. The MCHS physical model’s single channel was used in a three-dimensional numerical simulation. The basic geometrical layout of the MCHS’s computational domain was drawn from previously published research and verified using numerical and analytical correlations that were already in existence. The innovative conical-shaped microchannel heat sink’s (CMCHS) properties for heat transmission and fluid flow were examined numerically under steady-state conditions with laminar flow and a constant heat flux. At various flow velocities and configurations, the impacts of the geometrical parameters on pressure drops and heat transfer were examined. The outcome demonstrates a tremendously positive thermal performance with a significantly greater pressure drop than the traditional straight channel. In the microchannels with the conical-shaped reentrant cavities and minimal pressure loss, convection heat transfer is significantly improved. The findings of the present investigation demonstrate that the conical-shaped MCHS is practical and has a good chance of being used in real-world settings.

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23

Wang, Minwen, Xin Zhuo, Mingtong Zhao, Mengtong Qiu, Wei Chen, and Zhongming Wang. "Design and prototype test of a high-sensitivity reentrant-cavity based Schottky pickup." Review of Scientific Instruments 94, no. 3 (March 1, 2023): 033301. http://dx.doi.org/10.1063/5.0134286.

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Schottky diagnostics is an important measure for the debunched beam during the injection phase of the Xi’an Proton Application Facility (XiPAF). The existing capacitive Schottky pickup has a relatively low sensitivity and a poor signal-to-noise ratio for the low-intensity beam. A resonant Schottky pickup based on the principle of a reentrant cavity is proposed. The effects of cavity geometric parameters on cavity properties are systematically studied. A prototype was built and tested to validate the simulation results. The prototype has a resonance frequency of 24.23 MHz, a Q value of 635, and a shunt impedance of 19.75 kΩ. The resonant Schottky pickup has the capability to detect as few as 2.3 × 106 protons with an energy of 7 MeV and a momentum spread of about 1% at the injection phase of XiPAF. The sensitivity is two orders of magnitude higher than the existing capacitive pickup.

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24

Xia, Z. X., Y. J. Cheng, and Y. Fan. "Frequency-reconfigurable TM010-mode reentrant cylindrical cavity for microwave material processing." Journal of Electromagnetic Waves and Applications 27, no. 5 (January 30, 2013): 605–14. http://dx.doi.org/10.1080/09205071.2013.758224.

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25

Kedzierski, M. A., and L. Lin. "Pool boiling of HFO-1336mzz(Z) on a reentrant cavity surface." International Journal of Refrigeration 104 (August 2019): 476–83. http://dx.doi.org/10.1016/j.ijrefrig.2019.02.022.

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26

Ishihara, Y., Y. Kameyama, Y. Minegishi, and N. Wadamori. "Heating applicator based on reentrant cavity with optimized local heating characteristics." International Journal of Hyperthermia 24, no. 8 (January 2008): 694–704. http://dx.doi.org/10.1080/02656730802117064.

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27

Bansiwal, Ashok, Sushil Raina, K. J. Vinoy, and Subrata Kumar Datta. "A Post-Loaded Rectangular Reentrant Cavity for Broadband Multiple-Beam Klystron." IEEE Electron Device Letters 41, no. 6 (June 2020): 916–19. http://dx.doi.org/10.1109/led.2020.2989103.

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28

Beck, B. L., K. A. Jenkins, and J. R. Fitzsimmons. "Geometry comparisons of an 11-T coaxial reentrant cavity (ReCav) coil." Concepts in Magnetic Resonance 18B, no. 1 (July 2003): 24–27. http://dx.doi.org/10.1002/cmr.b.10074.

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29

Zhang, Guang Jian, and Wei Dong Shi. "Numerical Modeling of Unsteady Cloud Cavitation around a Clark-Y Hydrofoil Based on Modified SST Model." Applied Mechanics and Materials 448-453 (October 2013): 3340–43. http://dx.doi.org/10.4028/www.scientific.net/amm.448-453.3340.

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Анотація:

A density correction function was introduced into SST (shear stress transport) model in CFX by user defined subroutine. The unsteady cloud cavitation around a Clark-y hydrofoil was numerically simulated using the modified SST model, associated with Zwart cavitation model. The quasi-periodic evolution of cloud cavity and lift coefficient variation were analysed. The results compared with experimental data show that the modified SST model reduces turbulent viscosity in the rear part of cavity and the reentrant jet in cloud cavitation is predicted. The quasi-periodic evolution of cavity generation, development and collapse is captured accurately and the calculated lift coefficient curve is consistent with the experimental date. It can be concluded that the modified SST model used in this paper has a good applicability in the unsteady cloud cavitation simulation.

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30

Goryashko, V. A., M. Jobs, L. H. Duc, J. Ericsson, and R. Ruber. "12-Way 100 kW Reentrant Cavity-Based Power Combiner With Doorknob Couplers." IEEE Microwave and Wireless Components Letters 28, no. 2 (February 2018): 111–13. http://dx.doi.org/10.1109/lmwc.2017.2780619.

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31

Saimi, Motohiro, Eiji Shiohama, and Tsutomu Kobayashi. "A study of electrodeless microwave HID lamps with a reentrant-type cavity." JOURNAL OF THE ILLUMINATING ENGINEERING INSTITUTE OF JAPAN 86, Appendix (2002): 84. http://dx.doi.org/10.2150/jieij1980.86.appendix_84.

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32

Zeng, Jian, Lang Lin, Yong Tang, Yalong Sun, and Wei Yuan. "Fabrication and capillary characterization of micro-grooved wicks with reentrant cavity array." International Journal of Heat and Mass Transfer 104 (January 2017): 918–29. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2016.09.007.

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33

Le, Q., J. P. Franc, and J. M. Michel. "Partial Cavities: Global Behavior and Mean Pressure Distribution." Journal of Fluids Engineering 115, no. 2 (June 1, 1993): 243–48. http://dx.doi.org/10.1115/1.2910131.

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The results of an experimental work concerning the behavior of flows with partial cavities are presented. The tests were carried out using a plano-convex foil placed in the free surface channel of the I.M.G. Hydrodynamic Tunnel. The experimental conditions concerning ambient pressure, water velocity, and body size were such that various and realistic kinds of flows could be realized. The main flow regimes are described and correlated to the values of foil incidence and cavitation parameter. Attention is paid to the shedding of large vapor pockets into the cavity wake and its possible periodic character. Aside from classical consideration to the cavity length and shedding frequency in the periodic regime, results concerning the wall pressure distribution in the rear part of the cavity are given. They lead to distinguish thin, stable, and closed cavities from the thick ones in which the reentrant jet plays a dominant role for the shedding of vortical structures and the flow unsteadiness.

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34

Ma, Jixu, Yukang Chen, and Jie Huang. "A Microwave Displacement Sensor Based on SIW Double Reentrant Cavity with Ring Gaps." Progress In Electromagnetics Research M 113 (2022): 35–45. http://dx.doi.org/10.2528/pierm22050102.

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35

Ishihara, Yasutoshi, Yuya Gotanda, Naoki Wadamori, and Jin-ichi Matsuda. "Hyperthermia applicator based on a reentrant cavity for localized head and neck tumors." Review of Scientific Instruments 78, no. 2 (February 2007): 024301. http://dx.doi.org/10.1063/1.2437203.

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36

Huang, Pi-Ling, Chun-Ren Weng, Huy-Zu Cheng, and Sheng-Lung Huang. "A Passively Q-Switched Laser Constructed by a Two-Mirror Reentrant Ring Cavity." Japanese Journal of Applied Physics 40, Part 2, No. 5B (May 15, 2001): L508—L510. http://dx.doi.org/10.1143/jjap.40.l508.

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37

Gu, Wei, Yousheng He, and Tianqun Hu. "Transcritical Patterns of Cavitating Flow and Trends of Acoustic Level." Journal of Fluids Engineering 123, no. 4 (June 6, 2001): 850–56. http://dx.doi.org/10.1115/1.1412233.

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Hydroacoustics of the transcritical cavitating flows on a NACA16012 hydrofoil at a 2/5/8-degree angle of attack and axisymmetric bodies with hemispherical and 45-degree conical headforms were studied, and the process of cloud cavitation shedding was observed by means of high-speed cinegraphy. By expressing the cavitation noise with partial acoustic level, it is found that the development of cavitation noise varies correspondingly with cavitation patterns. The instability of cavitation is a result of cavity-flow interaction, and is mainly affected by the liquid flow rather than by the cavitation bubbles. A periodic flow structure with a large cavitation vortex is observed and found to be responsible for inducing the reentrant-jet and consequent cavitation shedding, and explains the mechanism of periodic cavitation shedding from a new viewpoint. New terms for the three stages, growing, hatching and breaking, are used to describe the process of cavity shedding.

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38

Liao, Dong, Yinchuang Yang, and Huihe Qiu. "Droplet impact dynamics and heat transfer on nanostructured doubly reentrant cavity under freezing temperature." Physics of Fluids 33, no. 5 (May 2021): 052005. http://dx.doi.org/10.1063/5.0050400.

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39

Kazuma, Hiroyuki, Yoshiaki Saitoh, Michio Miyakawa, and Jun'ichi Hori. "Heating Characteristics with Reentrant Resonant-Cavity Applicator. An Experimental Study with Small Phantom Model." Thermal Medicine(Japanese Journal of Hyperthermic Oncology) 12, no. 4 (1996): 401–9. http://dx.doi.org/10.3191/thermalmedicine.12.401.

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40

Wang, Yonghui, Zhixian Ma, and Jili Zhang. "Precise determination of R134a boiling bundle effect on a column of reentrant cavity tubes." Applied Thermal Engineering 199 (November 2021): 117612. http://dx.doi.org/10.1016/j.applthermaleng.2021.117612.

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41

Yasui, Toshiaki, Hirokazu Tahara, and Takao Yoshikawa. "Plasma Generation and Beam Extraction on Reentrant-Cavity-Type Electron Cyclotron Resonance Ion Source." Japanese Journal of Applied Physics 33, Part 1, No. 8 (August 15, 1994): 4787–92. http://dx.doi.org/10.1143/jjap.33.4787.

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42

Goyal, A., R. C. Jaeger, S. H. Bhavnani, C. D. Ellis, N. K. Phadke, M. Azimi-Rashti, and J. S. Goodling. "Formation of silicon reentrant cavity heat sinks using anisotropic etching and direct wafer bonding." IEEE Electron Device Letters 14, no. 1 (January 1993): 29–32. http://dx.doi.org/10.1109/55.215090.

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43

Kedzierski, M. A., and L. Lin. "Pool boiling of R515A, R1234ze(E), and R1233zd(E) on a reentrant cavity surface." International Journal of Heat and Mass Transfer 161 (November 2020): 120252. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2020.120252.

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44

Kedzierski, M. A. "Effect of concentration on R134a/Al2O3 nanolubricant mixture boiling on a reentrant cavity surface." International Journal of Refrigeration 49 (January 2015): 36–48. http://dx.doi.org/10.1016/j.ijrefrig.2014.09.012.

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45

Wang, Yonghui, Jili Zhang, and Zhixian Ma. "Experimental study of pool boiling on a novel reentrant cavity tube surface with R134a." International Journal of Heat and Mass Transfer 135 (June 2019): 124–30. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2019.01.128.

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46

Ji, Wen-Tao, Chuang-Yao Zhao, Ding-Cai Zhang, Peng-Fei Zhao, Zeng-Yao Li, Ya-Ling He, and Wen-Quan Tao. "Pool boiling heat transfer of R134a outside reentrant cavity tubes at higher heat flux." Applied Thermal Engineering 127 (December 2017): 1364–71. http://dx.doi.org/10.1016/j.applthermaleng.2017.08.130.

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47

Duncan, J. H., and S. Zhang. "On the interaction of a collapsing cavity and a compliant wall." Journal of Fluid Mechanics 226 (May 1991): 401–23. http://dx.doi.org/10.1017/s0022112091002446.

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Анотація:

The collapse of a spherical vapour cavity in the vicinity of a compliant boundary is examined numerically. The fluid is treated as a potential flow and a boundary-element method is used to solve Laplace's equation for the velocity potential. Full nonlinear boundary conditions are applied on the surface of the cavity. The compliant wall is modelled as a membrane with a spring foundation. At the interface between the fluid and the membrane, the pressure and vertical velocity in the flow are matched to the pressure and vertical velocity of the membrane using linearized conditions. The results of calculations are presented which show the effect of the parameters describing the flow (the initial cavity size and position, the fluid density and the pressure driving the collapse) and the parameters describing the compliant wall (the mass per unit area, membrane tension, spring constant and coating radius) on the interaction between the two. When the wall is rigid, the collapse of the cavity is characterized by the formation of a re-entrant jet that is directed toward the wall. However, if the properties of the compliant wall are chosen properly, the collapse can be made to occur spherically, as if the cavity were in an infinite fluid, or with the reentrant jet directed away from the wall, as if the cavity were adjacent to a free surface. This behaviour is in qualitative agreement with the experiments of Gibson & Blake (1982) and Shima, et al. (1989). Calculations of the transfer of energy between the flow and the coating are also presented.

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48

Bansiwal, Ashok, Sushil Raina, K. J. Vinoy, and Subrata Kumar Datta. "Equivalent Circuit Analysis of a Rectangular Double-Reentrant Cavity With Circular Cylindrical Ferrule for Klystrons." IEEE Transactions on Electron Devices 66, no. 11 (November 2019): 4952–56. http://dx.doi.org/10.1109/ted.2019.2942778.

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49

Zhang, Shiwei, Lang Lin, Gong Chen, Heng Tang, Jian Zeng, Wei Yuan, and Yong Tang. "Experimental study on the capillary performance of aluminum micro-grooved wicks with reentrant cavity array." International Journal of Heat and Mass Transfer 139 (August 2019): 917–27. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2019.05.091.

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50

Kashiwa, T., M. Miyakawa, T. Tsukamoto, and Y. Kanai. "Resonant frequency analysis of reentrant resonant cavity applicator by using FEM and FD-TD method." IEEE Transactions on Magnetics 36, no. 4 (July 2000): 1750–53. http://dx.doi.org/10.1109/20.877782.

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