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Blagojevič M, Zupanc M, Gostiša J, Stres B, Šmid A, Dular M, Slemenik Perše L, Gradišar Centa U, Bizjan B, Rak G, Novak U, Likozar B, Kolbl Repinc S. The impact of radicals on physicochemical properties of waste activated sludge during hydrodynamic cavitation treatment. ULTRASONICS SONOCHEMISTRY 2025; 115:107291. [PMID: 40020275 PMCID: PMC11910674 DOI: 10.1016/j.ultsonch.2025.107291] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/25/2024] [Revised: 02/19/2025] [Accepted: 02/24/2025] [Indexed: 03/03/2025]
Abstract
In this study, laboratory-scale Pinned Disc Rotary Generator of Hydrodynamic Cavitation was used to treat waste-activated sludge with a Total Solids concentration of 0.7 %. Five different rotor-stator arrangements were tested, focusing on waste-activated sludge physicochemical and rheological parameters of industrial relevance: general chemical analysis, rheometry, dewaterability, interfacial tension, UV-Vis and FTIR spectroscopy. Radical formation in all five arrangements was confirmed using salicylic acid dosimetry before sample testing. Three of the arrangements generated twice the radical concentration of the other two and achieved a disintegration degree three times higher (17 % compared to 5 %). Capillary Suction Time tests demonstrated a 14-fold reduction in filterability across all arrangements, accompanied by an increase in interfacial tension exceeding 10 %. Statistically significant changes in the UV-Vis spectra indicated alterations in dissolved organic matter humification, aromaticity, and molecular size of colorimetric dissolved organic matter, DNA, and RNA. FTIR analysis revealed characteristic peaks at 1537 cm-1 and 1648 cm-1, signifying microbial cell wall damage. Rheological analysis showed a reduction in apparent viscosity within the low shear stress zone (τ < 5 Pa) and a shift in the yield stress point to lower shear stresses (τ < 0.14 Pa compared to τ = 0.17 Pa for the untreated samples). Pearson's correlation test revealed strong, statistically significant correlations between cell wall damage (as identified by FTIR) and hydrodynamic conditions in the reactor, while the correlation with radical formation was not statistically significant. This suggests that hydrodynamic forces were the primary drivers of cell wall damage, with potential synergetic effects from radicals.
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Affiliation(s)
- Marko Blagojevič
- Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova cesta 2, 1000 Ljubljana, Slovenia
| | - Mojca Zupanc
- Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva cesta 6, 1000 Ljubljana, Slovenia
| | - Jurij Gostiša
- Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva cesta 6, 1000 Ljubljana, Slovenia
| | - Blaž Stres
- Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova cesta 2, 1000 Ljubljana, Slovenia; Biotechnical Faculty, University of Ljubljana, Jamnikarjeva ulica 101, 1000 Ljubljana, Slovenia; Jozef Stefan Institute, Jamova cesta 39, 1000 Ljubljana, Slovenia; National Institute of Chemistry, Hajdrihova ulica 19, 1000 Ljubljana, Slovenia
| | - Alenka Šmid
- Faculty of Pharmacy, University of Ljubljana, Ljubljana, Slovenia
| | - Matevž Dular
- Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva cesta 6, 1000 Ljubljana, Slovenia
| | - Lidija Slemenik Perše
- Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva cesta 6, 1000 Ljubljana, Slovenia
| | - Urška Gradišar Centa
- Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva cesta 6, 1000 Ljubljana, Slovenia
| | - Benjamin Bizjan
- Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova cesta 2, 1000 Ljubljana, Slovenia; Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva cesta 6, 1000 Ljubljana, Slovenia
| | - Gašper Rak
- Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva cesta 6, 1000 Ljubljana, Slovenia
| | - Uroš Novak
- National Institute of Chemistry, Hajdrihova ulica 19, 1000 Ljubljana, Slovenia
| | - Blaž Likozar
- National Institute of Chemistry, Hajdrihova ulica 19, 1000 Ljubljana, Slovenia
| | - Sabina Kolbl Repinc
- Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova cesta 2, 1000 Ljubljana, Slovenia; National Institute of Chemistry, Hajdrihova ulica 19, 1000 Ljubljana, Slovenia.
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Fan J, Xie L, Zhang X, Zou P, Zheng Y, Fan Y, Wang H, Jiang X, Chang Y. Mechanically Induced Green Targeted Conversion of Ammonia Nitrogen to N 2: Based on Cavitation Effects and ROS Oxidation. ENVIRONMENTAL SCIENCE & TECHNOLOGY 2024; 58:21569-21577. [PMID: 39520400 DOI: 10.1021/acs.est.4c08077] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2024]
Abstract
Addressing the mounting challenge of ammonia nitrogen pollution in aquatic ecosystems necessitates the selective oxidation of ammonia nitrogen to nitrogen gas, a pivotal aspect of eco-friendly nitrogen removal processes. Ultrasound cavitation, renowned for its capacity to generate reactive oxygen species (ROS), has garnered considerable attention in environmental remediation. This study reveals a highly synergistic mechanism in ultrasound coupled stirring (US-ST), establishing optimal coupling conditions through sound field monitoring and quantification of ROS. In comparison to ultrasound treatment alone (US), the sound pressure amplitude significantly increased from ±18 to ±30 kPa in US-ST, markedly reducing the cavitation nucleation threshold and augmenting the steady-state concentration of hydroxyl radicals (HO•) by 13-fold. Further, with appropriate charge transfer conditions enabled by the acoustoelectric characteristics of the passive film on stirring paddles, the concentrations of superoxide (•O2-) and singlet oxygen (1O2) elevated to 9.54 × 10-10 M and 8.43 × 10-13 M, respectively. Under the regulation of 500 rpm stirring vortex, a maximum sonochemical efficiency of 6.5 × 10-5 mg J-1 was achieved. In the context of domestic wastewater, ammonia nitrogen degradation was achieved through the oxidation and thermal dissociation effects of US-ST. The concentration decreased from 27.5 to 3.4 mg/L after 2 h, with an impressive N2 selectivity of 96.8%. This study elucidates the targeted conversion mechanism of ammonia nitrogen in US-ST, introducing an emerging water treatment technology propelled by mechanical energy.
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Affiliation(s)
- Jianan Fan
- College of Architecture & Environment, Sichuan University, Chengdu 610065, P.R. China
| | - Lu Xie
- Chengdu Municipal Engineering Design & Research Institude, Co.,Ltd, Chengdu 610023, P.R. China
| | - Xianggang Zhang
- College of Architecture & Environment, Sichuan University, Chengdu 610065, P.R. China
| | - Ping Zou
- College of Architecture & Environment, Sichuan University, Chengdu 610065, P.R. China
| | - Yili Zheng
- Chengdu Municipal Engineering Design & Research Institude, Co.,Ltd, Chengdu 610023, P.R. China
| | - Ying Fan
- Chengdu Municipal Engineering Design & Research Institude, Co.,Ltd, Chengdu 610023, P.R. China
| | - Hualin Wang
- National Engineering Laboratory for Industrial Wastewater Treatment, East China University of Science and Technology, Shanghai 200237, P.R. China
| | - Xia Jiang
- College of Carbon Neutrality Future Technology, Sichuan University, Chengdu 610065, P.R. China
- Tianfu Yongxing Laboratory, Chengdu 610213, P.R. China
| | - Yulong Chang
- College of Carbon Neutrality Future Technology, Sichuan University, Chengdu 610065, P.R. China
- Tianfu Yongxing Laboratory, Chengdu 610213, P.R. China
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Mandal TK. Nanomaterial-Enhanced Hybrid Disinfection: A Solution to Combat Multidrug-Resistant Bacteria and Antibiotic Resistance Genes in Wastewater. NANOMATERIALS (BASEL, SWITZERLAND) 2024; 14:1847. [PMID: 39591087 PMCID: PMC11597552 DOI: 10.3390/nano14221847] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/18/2024] [Revised: 11/09/2024] [Accepted: 11/18/2024] [Indexed: 11/28/2024]
Abstract
This review explores the potential of nanomaterial-enhanced hybrid disinfection methods as effective strategies for addressing the growing challenge of multidrug-resistant (MDR) bacteria and antibiotic resistance genes (ARGs) in wastewater treatment. By integrating hybrid nanocomposites and nanomaterials, natural biocides such as terpenes, and ultrasonication, this approach significantly enhances disinfection efficiency compared to conventional methods. The review highlights the mechanisms through which hybrid nanocomposites and nanomaterials generate reactive oxygen species (ROS) under blue LED irradiation, effectively disrupting MDR bacteria while improving the efficacy of natural biocides through synergistic interactions. Additionally, the review examines critical operational parameters-such as light intensity, catalyst dosage, and ultrasonication power-that optimize treatment outcomes and ensure the reusability of hybrid nanocomposites and other nanomaterials without significant loss of photocatalytic activity. Furthermore, this hybrid method shows promise in degrading ARGs, thereby addressing both microbial and genetic pollution. Overall, this review underscores the need for innovative wastewater treatment solutions that are efficient, sustainable, and scalable, contributing to the global fight against antimicrobial resistance.
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Affiliation(s)
- Tapas Kumar Mandal
- School of Mechanical Engineering, Yeungnam University, Gyeongsan 38541, Republic of Korea
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Fan Z, Xing Y, Gao Y, San Y, Zheng L, Wang Z, Regenstein JM. Soy proteins modified using cavitation jet technology. Int J Biol Macromol 2024; 278:134988. [PMID: 39181369 DOI: 10.1016/j.ijbiomac.2024.134988] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/13/2024] [Revised: 08/07/2024] [Accepted: 08/21/2024] [Indexed: 08/27/2024]
Abstract
Soy proteins are seen as a promising alternative food source for meat with environmentally friendly properties. The problem is that the functional properties of soy proteins do not meet the needs of the food industry, and some existing modification technologies have adverse effects. Recently, cavitation jet technology (CJT) has been studied because it generates high heat, high pressure, strong shear and strong shock waves. This review summarizes the history and mechanism of cavitation jets. The energy generated during the cavitation jet process can open molecular structures, and the shock waves and microjets generated can pulverize the materials by erosion. The impact of the CJT on the morphology, structure, and functionality of soy proteins is discussed. The impact of combining CJT with other techniques on the production of soy proteins was also reviewed. The modification of proteins using two or more methods with complementary strengths, avoiding the disadvantages of certain techniques, makes the modification of proteins more effective. One of the most prominent effects is the combined treatment of cavitation jets with physical techniques. Finally, the review provides a comprehensive analysis of the application of modified soy proteins in the food industry and highlights promising avenues for future research.
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Affiliation(s)
- Zhijun Fan
- College of Food Science, Northeast Agricultural University, Harbin, Heilongjiang 150030, China; Heilongjiang Beidahuang Green Health Food Co., Ltd., Kiamusze, Heilongjiang 154007, China
| | - Yuejiao Xing
- College of Food Science, Northeast Agricultural University, Harbin, Heilongjiang 150030, China
| | - Yue Gao
- College of Food Science, Northeast Agricultural University, Harbin, Heilongjiang 150030, China
| | - Yue San
- College of Food Science, Northeast Agricultural University, Harbin, Heilongjiang 150030, China
| | - Li Zheng
- College of Food Science, Northeast Agricultural University, Harbin, Heilongjiang 150030, China.
| | - Zhongjiang Wang
- College of Food Science, Northeast Agricultural University, Harbin, Heilongjiang 150030, China.
| | - Joe M Regenstein
- Department of Food Science, Cornell University, Ithaca, NY 14853-7201, USA.
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Seyfali E, Khoshtaghaza MH, Rouhi M, Sarlak Z, Najafi G. The potential of pulsed electromagnetic field-generated shock waves for reducing microbial load and improving homogenization in raw milk. Heliyon 2024; 10:e32204. [PMID: 38868044 PMCID: PMC11168425 DOI: 10.1016/j.heliyon.2024.e32204] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2023] [Revised: 05/23/2024] [Accepted: 05/29/2024] [Indexed: 06/14/2024] Open
Abstract
Milk is a highly nutritious food essential for human consumption. However, traditional thermal processing methods can reduce its nutritional value and cause unwanted changes. The use of shock waves produced by pulsed electromagnetic fields (PEMFs) has been explored as a means to reduce pathogenic microorganisms. The effect of shock wave treatment on microbial load and particle distribution in packaged fresh cow's milk was investigated. Additionally, the impact of shock wave treatment on Salmonella enterica counts in a bacterial suspension of phosphate-buffered saline (PBS) was evaluated, as this bacterium is a significant milkborne pathogen. Treatment with 1000 impulses from an electromagnetic shock wave generator resulted in a 0.7-log reduction in the total bacterial count of milk. In a separate experiment, a 300-impulse shock wave treatment applied to a Salmonella enterica suspension achieved a 3-log reduction in bacterial counts. Furthermore, shock wave treatment resulted in a decrease in milk particle size compared to untreated milk. Notably, the volume of milk used in this study aligns with commercially available packaged products, enhancing the experiment's industrial relevance. The use of PEMF to generate shock waves could provide a novel approach for future studies focused on reducing the microbial load of milk and improving its homogenization.
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Affiliation(s)
- Ehsan Seyfali
- Department of Biosystems Engineering, Tarbiat Modares University, Tehran, Iran
| | | | - Milad Rouhi
- Research Center of Oils and Fats, Kermanshah University of Medical Sciences, Kermanshah, Iran
| | - Zahra Sarlak
- Research Center of Oils and Fats, Kermanshah University of Medical Sciences, Kermanshah, Iran
| | - Gholamhassan Najafi
- Department of Biosystems Engineering, Tarbiat Modares University, Tehran, Iran
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Volk M, Molan K, Šavli D, Terlep S, Levičnik-Höfferle Š, Gašpirc B, Lukač M, Jezeršek M, Stopar D. Biofilm removal from Difficult-to-Reach places via secondary cavitation within a constrained geometry mimicking a Periodontal/Peri-Implant pocket. ULTRASONICS SONOCHEMISTRY 2024; 104:106832. [PMID: 38429168 PMCID: PMC10985801 DOI: 10.1016/j.ultsonch.2024.106832] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/29/2023] [Revised: 01/26/2024] [Accepted: 02/22/2024] [Indexed: 03/03/2024]
Abstract
Biofilm removal from the apical region of the periodontal or peri-implant pocket, which is very difficult to achieve with mechanical instruments, is a major unresolved issue in dentistry. Here, we propose the use of photoacoustically induced streaming and secondary cavitation to achieve superior cleaning efficacy in the apical region of the periodontal and peri-implant pocket. We have used a prefabricated narrow wedge system that mimics the consistency of periodontal and peri-implant pockets of both healthy and severely inflamed tissue. We studied the effect of single-pulse modality Er:YAG on Pseudomonas aeruginosa biofilm removal. We used different laser energies, fiber-tip positions, and laser treatment durations. The cleaning process was monitored in real-time with a high-speed camera after each individual laser pulse application. The obtained results suggest that biofilm cleaning efficacy in a difficult-to-reach place in healthy model tissue is directly related to the onset of secondary cavitation bubble formation, which correlates with a significant improvement of biofilm removal from the apical region of the periodontal or peri-implant pocket. In comparison to the healthy tissue model, the laser energy in inflamed tissue model had to be increased to obtain comparable biofilm cleaning efficacy. The advantage of photoacoustic cavitation compared to other methods is that laser-induced cavitation can trigger secondary cavitation at large distances from the point of laser application, which in principle allows biofilm removal at distant locations not reachable with a laser fiber tip or other mechanical instruments.
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Affiliation(s)
- Marko Volk
- University of Ljubljana, Biotechnical Faculty, Department of Microbiology, Večna pot 111, Ljubljana 1000, Slovenia
| | - Katja Molan
- University of Ljubljana, Biotechnical Faculty, Department of Microbiology, Večna pot 111, Ljubljana 1000, Slovenia
| | - Dominik Šavli
- University of Ljubljana, Faculty of Mechanical Engineering, Aškerčeva cesta 6, Ljubljana 1000, Slovenia
| | - Saša Terlep
- Fotona d.o.o., Stegne 7, Ljubljana 1000, Slovenia
| | | | - Boris Gašpirc
- University of Ljubljana, Medical Faculty, Department of Oral Medicine and Periodontology, Vrazov trg 2, 1000 Ljubljana, Slovenia
| | - Matjaž Lukač
- Fotona d.o.o., Stegne 7, Ljubljana 1000, Slovenia; Institut Jozef Stefan, Jamova 39, Ljubljana 1000, Slovenia; University of Ljubljana, Faculty of Mathematics and Physics, Jadranska 19, Ljubljana 1000, Slovenia
| | - Matija Jezeršek
- University of Ljubljana, Faculty of Mechanical Engineering, Aškerčeva cesta 6, Ljubljana 1000, Slovenia
| | - David Stopar
- University of Ljubljana, Biotechnical Faculty, Department of Microbiology, Večna pot 111, Ljubljana 1000, Slovenia.
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Sun X, Xia G, You W, Jia X, Manickam S, Tao Y, Zhao S, Yoon JY, Xuan X. Effect of the arrangement of cavitation generation unit on the performance of an advanced rotational hydrodynamic cavitation reactor. ULTRASONICS SONOCHEMISTRY 2023; 99:106544. [PMID: 37544171 PMCID: PMC10432248 DOI: 10.1016/j.ultsonch.2023.106544] [Citation(s) in RCA: 11] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/06/2023] [Revised: 07/24/2023] [Accepted: 07/28/2023] [Indexed: 08/08/2023]
Abstract
Hydrodynamic cavitation (HC) is widely considered a promising process intensification technology. The novel advanced rotational hydrodynamic cavitation reactors (ARHCRs), with considerably higher performance compared with traditional devices, have gained increasing attention of academic and industrial communities. The cavitation generation unit (CGU), located on the rotor and/or stator of an ARHCR, is utilized to generate cavitation and consequently, its geometrical structure is vital for the performance. The present work studied, for the first time, the effect of the arrangement of CGU on the performance of a representative ARHCR by employing computational fluid dynamics based on the "simplified flow field" strategy. The effect of CGU arrangement, which was neglected in the past, was evaluated: radial offset distance (c), intersection angle (ω), number of rows (N), circumferential offset angle (γ), and radial spacing (r). The results indicate that the CGU, with an arrangement of a low ω and moderate c, N, γ, and r, performed the highest cavitation efficiency. The corresponding reasons were analyzed by combining the flow field and cavitation pattern. Moreover, the results also exposed a weakness of the "simplified flow field" strategy which may induce the unfavorable "sidewall effect" and cause false high-pressure region. The findings of this work may provide a reference value to the design of ARHCRs.
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Affiliation(s)
- Xun Sun
- Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan 250061, China; National Demonstration Center for Experimental Mechanical Engineering Education, Shandong University, Jinan 250061, China.
| | - Gaoju Xia
- Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan 250061, China; National Demonstration Center for Experimental Mechanical Engineering Education, Shandong University, Jinan 250061, China
| | - Weibin You
- Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan 250061, China; National Demonstration Center for Experimental Mechanical Engineering Education, Shandong University, Jinan 250061, China
| | - Xiaoqi Jia
- Key Laboratory of Fluid Transmission Technology of Zhejiang Province, Zhejiang Sci-Tech University, Hangzhou 310018, China
| | - Sivakumar Manickam
- Petroleum and Chemical Engineering, Faculty of Engineering, Universiti Teknologi Brunei, Bandar Seri Begawan BE1410, Brunei Darussalam
| | - Yang Tao
- College of Food Science and Technology, Nanjing Agricultural University, Nanjing 210095, China
| | - Shan Zhao
- Shandong Key Laboratory of Water Pollution Control and Resource Reuse, School of Environmental Science and Engineering, Shandong University, Qingdao 266237, China
| | - Joon Yong Yoon
- Department of Mechanical Engineering, BK21 FOUR ERICA-ACE Center, Hanyang University, Ansan 15588, Republic of Korea
| | - Xiaoxu Xuan
- Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan 250061, China; National Demonstration Center for Experimental Mechanical Engineering Education, Shandong University, Jinan 250061, China
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Kalmár P, Hegedűs F, Nagy D, Sándor L, Klapcsik K. Memory-friendly fixed-point iteration method for nonlinear surface mode oscillations of acoustically driven bubbles: from the perspective of high-performance GPU programming. ULTRASONICS SONOCHEMISTRY 2023; 99:106546. [PMID: 37574642 PMCID: PMC10448217 DOI: 10.1016/j.ultsonch.2023.106546] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/27/2023] [Revised: 07/21/2023] [Accepted: 07/31/2023] [Indexed: 08/15/2023]
Abstract
A fixed-point iteration technique is presented to handle the implicit nature of the governing equations of nonlinear surface mode oscillations of acoustically excited microbubbles. The model is adopted from the theoretical work of Shaw [1], where the dynamics of the mean bubble radius and the surface modes are bi-directionally coupled via nonlinear terms. The model comprises a set of second-order ordinary differential equations. It extends the classic Keller-Miksis equation and the linearized dynamical equations for each surface mode. Only the implicit parts (containing the second derivatives) are reevaluated during the iteration process. The performance of the technique is tested at various parameter combinations. The majority of the test cases needs only a single reevaluation to achieve 10-9 error. Although the arithmetic operation count is higher than the Gauss elimination, due to its memory-friendly matrix-free nature, it is a viable alternative for high-performance GPU computations of massive parameter studies.
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Affiliation(s)
- Péter Kalmár
- Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary.
| | - Ferenc Hegedűs
- Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary.
| | - Dániel Nagy
- Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary.
| | - Levente Sándor
- Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary.
| | - Kálmán Klapcsik
- Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary.
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