Pub Date : 2025-09-09DOI: 10.1134/S106377102460270X
N. Li, X. P. He, Y. Yuan
Sound field and radiation impedance are crucial acoustic performance parameters. Sound field calculation concerns sound propagation from a source and pertains to practical application problems within a specific environment. In contrast, radiation impedance is associated with the matching of the radiating elements with a circuit. Free boundary stepped radiators with high directional properties have significant application potential in the field of high-power gas medium ultrasonics. This study proposes a simulation for the computational estimation of the radiation field and impedance of stepped radiators based on the Rayleigh method. The axial sound pressure and directivity of the rectangular stepped radiator are calculated theoretically. At the same time, the radiation impedance is calculated. The results of the sound field test and radiation impedance calculations verified the validity of the proposed method. Thus, a practical and efficient approach to the analysis of the acoustic performance of arbitrary sound radiator was realized. The proposed method offers valuable insights and addresses a crucial gap in understanding these parameters for diverse radiator configurations.
{"title":"Research of a Stepped Ultrasonic Radiator","authors":"N. Li, X. P. He, Y. Yuan","doi":"10.1134/S106377102460270X","DOIUrl":"10.1134/S106377102460270X","url":null,"abstract":"<p>Sound field and radiation impedance are crucial acoustic performance parameters. Sound field calculation concerns sound propagation from a source and pertains to practical application problems within a specific environment. In contrast, radiation impedance is associated with the matching of the radiating elements with a circuit. Free boundary stepped radiators with high directional properties have significant application potential in the field of high-power gas medium ultrasonics. This study proposes a simulation for the computational estimation of the radiation field and impedance of stepped radiators based on the Rayleigh method. The axial sound pressure and directivity of the rectangular stepped radiator are calculated theoretically. At the same time, the radiation impedance is calculated. The results of the sound field test and radiation impedance calculations verified the validity of the proposed method. Thus, a practical and efficient approach to the analysis of the acoustic performance of arbitrary sound radiator was realized. The proposed method offers valuable insights and addresses a crucial gap in understanding these parameters for diverse radiator configurations<i>.</i></p>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 3","pages":"312 - 325"},"PeriodicalIF":1.2,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S106377102460270X.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145021634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-09-09DOI: 10.1134/S1063771024602590
A. S. Ivanenkov, N. A. Kutuzov, O. A. Potapov, A. A. Rodionov, M. B. Salin, I. A. Usacheva
Methods for studying the characteristics of sound waves radiated and scattered by shells in an aqueous medium in the low-frequency range are presented. The results of comparing these characteristics obtained by numerical modeling and measurements in an open water area are shown. The experimental study was carried out using an original methodology, and the calculations were carried out using the authors' software. The results allow a better understanding of the mechanism of sound radiation and scattering in water and optimization of the design of shells for various applications.
{"title":"Experimental and Numerical Investigation of Sound Radiation and Scattering by Shells in Water","authors":"A. S. Ivanenkov, N. A. Kutuzov, O. A. Potapov, A. A. Rodionov, M. B. Salin, I. A. Usacheva","doi":"10.1134/S1063771024602590","DOIUrl":"10.1134/S1063771024602590","url":null,"abstract":"<div><p>Methods for studying the characteristics of sound waves radiated and scattered by shells in an aqueous medium in the low-frequency range are presented. The results of comparing these characteristics obtained by numerical modeling and measurements in an open water area are shown. The experimental study was carried out using an original methodology, and the calculations were carried out using the authors' software. The results allow a better understanding of the mechanism of sound radiation and scattering in water and optimization of the design of shells for various applications.</p></div>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 3","pages":"401 - 412"},"PeriodicalIF":1.2,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145021607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-09-09DOI: 10.1134/S1063771025600482
G. S. Malyshkin
This paper describes the methodology and results of marine experiments on the construction and analysis of direction-finding reliefs and recorded trajectories from the standpoint of classifying observed sources (surface and underwater objects) in noise direction-finding mode as applied to autumn conditions in a coastal wedge area. It is shown that, in noise direction-finding mode, trajectory bearing modulation occurring when signals propagate with reflection from boundaries, namely, the surface and bottom, can be used in addition to the known classification features for distinguishing surface and underwater objects. This modulation is efficiently detected after the power of strong signals is limited.
{"title":"On a Method for Classifying Hydroacoustic Radiation Sources at the Output of Adaptive Spatial Processing","authors":"G. S. Malyshkin","doi":"10.1134/S1063771025600482","DOIUrl":"10.1134/S1063771025600482","url":null,"abstract":"<p>This paper describes the methodology and results of marine experiments on the construction and analysis of direction-finding reliefs and recorded trajectories from the standpoint of classifying observed sources (surface and underwater objects) in noise direction-finding mode as applied to autumn conditions in a coastal wedge area. It is shown that, in noise direction-finding mode, trajectory bearing modulation occurring when signals propagate with reflection from boundaries, namely, the surface and bottom, can be used in addition to the known classification features for distinguishing surface and underwater objects. This modulation is efficiently detected after the power of strong signals is limited.</p>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 3","pages":"453 - 466"},"PeriodicalIF":1.2,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145021556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-09-09DOI: 10.1134/S1063771024602681
F. A. Nartov, M. M. Karzova, V. A. Khokhlova
A number of novel noninvasive surgical technologies utilizing high-intensity focused ultrasound (HIFU) are based on using nonlinear acoustic effects that lead to distortion of the wave when it propagates from an ultrasound transducer and formation of shock fronts at the focus. Typically, such transducers that generate a high-power ultrasound beam, have near axially symmetric shape with a central circular opening to accommodate a diagnostic probe for visualization purposes. To predict the focal field parameters of such transducer geometries, an equivalent source model of a spherical segment is convenient, as nonlinear effects in its field are well studied. The equivalent source parameters (diameter, focal length, and amplitude) are optimized to closely approximate the focal region of the original transducer along the axial coordinate. This paper investigates the effect of the central opening size on the nonlinear field characteristics and applicability of the equivalent source model for a typical therapeutic ultrasound transducer with a frequency of 1 MHz and F# = 0.9. It is demonstrated that the size of the central opening significantly affects the degree of nonlinear waveform distortion in the focal region, and the equivalent source model can be applied only when the diameter of the central opening is less than 20% of the transducer diameter.
{"title":"Effect of the Diameter of the Central Opening on Nonlinear Acoustic Field Characteristics of High-Intensity Focused Ultrasound Transducers","authors":"F. A. Nartov, M. M. Karzova, V. A. Khokhlova","doi":"10.1134/S1063771024602681","DOIUrl":"10.1134/S1063771024602681","url":null,"abstract":"<div><p>A number of novel noninvasive surgical technologies utilizing high-intensity focused ultrasound (HIFU) are based on using nonlinear acoustic effects that lead to distortion of the wave when it propagates from an ultrasound transducer and formation of shock fronts at the focus. Typically, such transducers that generate a high-power ultrasound beam, have near axially symmetric shape with a central circular opening to accommodate a diagnostic probe for visualization purposes. To predict the focal field parameters of such transducer geometries, an equivalent source model of a spherical segment is convenient, as nonlinear effects in its field are well studied. The equivalent source parameters (diameter, focal length, and amplitude) are optimized to closely approximate the focal region of the original transducer along the axial coordinate. This paper investigates the effect of the central opening size on the nonlinear field characteristics and applicability of the equivalent source model for a typical therapeutic ultrasound transducer with a frequency of 1 MHz and <i>F</i><sub>#</sub> = 0.9. It is demonstrated that the size of the central opening significantly affects the degree of nonlinear waveform distortion in the focal region, and the equivalent source model can be applied only when the diameter of the central opening is less than 20% of the transducer diameter.</p></div>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 3","pages":"346 - 356"},"PeriodicalIF":1.2,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S1063771024602681.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145021710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-18DOI: 10.1134/S1063771024602619
S. A. Nazarov
A periodic isotropic and homogeneous elastic waveguide composed of identical massive bodies connected to each other by thin horizontal rods and attached to a rigid half-space by vertical rods was studied. Using the dimension reduction procedure on the rods and analyzing the interaction between rigid displacements and singular fields in a body, the asymptotics of eigenvalues depending on the Floquet parameters was constructed in the model problem on a periodicity cell. As a result, asymptotic formulas were found for the lengths and positions of spectral (wave pass) bands, and open spectral gaps (wave stop bands) were revealed.
{"title":"Wave Stop Bands in a Double-Periodic Elastic Waveguide from Bodies Connected to Each Other by Thin Rods","authors":"S. A. Nazarov","doi":"10.1134/S1063771024602619","DOIUrl":"10.1134/S1063771024602619","url":null,"abstract":"<p>A periodic isotropic and homogeneous elastic waveguide composed of identical massive bodies connected to each other by thin horizontal rods and attached to a rigid half-space by vertical rods was studied. Using the dimension reduction procedure on the rods and analyzing the interaction between rigid displacements and singular fields in a body, the asymptotics of eigenvalues depending on the Floquet parameters was constructed in the model problem on a periodicity cell. As a result, asymptotic formulas were found for the lengths and positions of spectral (wave pass) bands, and open spectral gaps (wave stop bands) were revealed.</p>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 2","pages":"170 - 179"},"PeriodicalIF":1.2,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-18DOI: 10.1134/S1063771025600172
P. A. Pestova, A. N. Rybyanets, O. A. Sapozhnikov, M. M. Karzova, P. V. Yuldashev, S. A. Tsysar, L. M. Kotelnikova, I. A. Shvetsov, V. A. Khokhlova
One of the undesirable effects of using ultrasound for extracorporeal therapy is skin overheating, caused by both ultrasound absorption and contact with the heated surface of the acoustic transducer. To suppress this effect, a forcibly cooled contact medium can be placed between the skin and the irradiating surface. A novel ultrasound applicator implementing this approach has recently been proposed and developed at Southern Federal University. It uses a rectangular piezoelectric transducer bonded to an aluminum plate for volumetric heating of subcutaneous biological tissue. The plate is cooled by circulating cold water through laterally drilled channels. This article presents a numerical algorithm for calculating the three-dimensional temperature field in tissue during the operation of this applicator. The simulation was based on the inhomogeneous heat equation. Experimental acoustic holography data obtained for the developed transducer were used to calculate the heat sources in tissue. An example of heating bovine liver tissue ex vivo is considered, with irradiation times ranging from several seconds to several min. The simulation results were compared with experimental data on tissue thermal ablation at an acoustic power of 12 W and an ultrasound frequency of 6.96 MHz. It is shown that the combination of thermal tissue exposure and contact boundary cooling allows for volumetric tissue heating with a temperature maximum at a depth of 8 to 15 mm, while maintaining a negligible temperature change at depths up to 2–3 mm.
{"title":"Numerical Simulation of Volumetric Ultrasound Heating of Biological Tissue with Surface Cooling","authors":"P. A. Pestova, A. N. Rybyanets, O. A. Sapozhnikov, M. M. Karzova, P. V. Yuldashev, S. A. Tsysar, L. M. Kotelnikova, I. A. Shvetsov, V. A. Khokhlova","doi":"10.1134/S1063771025600172","DOIUrl":"10.1134/S1063771025600172","url":null,"abstract":"<div><p>One of the undesirable effects of using ultrasound for extracorporeal therapy is skin overheating, caused by both ultrasound absorption and contact with the heated surface of the acoustic transducer. To suppress this effect, a forcibly cooled contact medium can be placed between the skin and the irradiating surface. A novel ultrasound applicator implementing this approach has recently been proposed and developed at Southern Federal University. It uses a rectangular piezoelectric transducer bonded to an aluminum plate for volumetric heating of subcutaneous biological tissue. The plate is cooled by circulating cold water through laterally drilled channels. This article presents a numerical algorithm for calculating the three-dimensional temperature field in tissue during the operation of this applicator. The simulation was based on the inhomogeneous heat equation. Experimental acoustic holography data obtained for the developed transducer were used to calculate the heat sources in tissue. An example of heating bovine liver tissue <i>ex vivo</i> is considered, with irradiation times ranging from several seconds to several min. The simulation results were compared with experimental data on tissue thermal ablation at an acoustic power of 12 W and an ultrasound frequency of 6.96 MHz. It is shown that the combination of thermal tissue exposure and contact boundary cooling allows for volumetric tissue heating with a temperature maximum at a depth of 8 to 15 mm, while maintaining a negligible temperature change at depths up to 2–3 mm.</p></div>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 2","pages":"190 - 200"},"PeriodicalIF":1.2,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-18DOI: 10.1134/S1063771024602127
I. A. Usacheva, I. A. V’yushkina, P. I. Korotin, M. B. Salin
The article describes the absorption properties of acoustic materials. The emphasis is on rubberlike materials with inclusions of cavities that provide resonance dissipation mechanisms. Testing of the developed methodology and a study of the accuracy of the method by comparison with previously published results are presented. Changes in the acoustic properties of a heterogeneous material under external load conditions in a linear formulation are analyzed.
{"title":"Investigation of Sound Reflection and Transmission through an Elastic Layer with Inclusions Using the Finite Element Method","authors":"I. A. Usacheva, I. A. V’yushkina, P. I. Korotin, M. B. Salin","doi":"10.1134/S1063771024602127","DOIUrl":"10.1134/S1063771024602127","url":null,"abstract":"<p>The article describes the absorption properties of acoustic materials. The emphasis is on rubberlike materials with inclusions of cavities that provide resonance dissipation mechanisms. Testing of the developed methodology and a study of the accuracy of the method by comparison with previously published results are presented. Changes in the acoustic properties of a heterogeneous material under external load conditions in a linear formulation are analyzed.</p>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 2","pages":"180 - 189"},"PeriodicalIF":1.2,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-18DOI: 10.1134/S1063771024603054
A. A. Tsukanov, A. V. Gorbatikov
Using a mathematical model within the framework of the linear theory of elasticity, the problem—interesting from both theoretical and practical points of view—of surface wave irradiation of an elastic half-space containing a single buried body whose physical properties are different from those of the host medium material, but whose elastic moduli and density change in a consistent manner so that the velocity of both P- and S-waves do not differ from those in the host medium, is considered. It is shown that such buried heterogeneities, despite the lack of velocity contrast, can be detected and mapped both in plan view and at depth in the broadband field of Rayleigh surface waves based on variations in the spectral amplitude of the signal recorded at several points on the surface.
{"title":"The Possibility of Detecting Geological Bodies without Velocity Contrast in the Field of Surface Waves","authors":"A. A. Tsukanov, A. V. Gorbatikov","doi":"10.1134/S1063771024603054","DOIUrl":"10.1134/S1063771024603054","url":null,"abstract":"<p>Using a mathematical model within the framework of the linear theory of elasticity, the problem—interesting from both theoretical and practical points of view—of surface wave irradiation of an elastic half-space containing a single buried body whose physical properties are different from those of the host medium material, but whose elastic moduli and density change in a consistent manner so that the velocity of both P- and S-waves do not differ from those in the host medium, is considered. It is shown that such buried heterogeneities, despite the lack of velocity contrast, can be detected and mapped both in plan view and at depth in the broadband field of Rayleigh surface waves based on variations in the spectral amplitude of the signal recorded at several points on the surface.</p>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 2","pages":"253 - 262"},"PeriodicalIF":1.2,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S1063771024603054.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-18DOI: 10.1134/S1063771024602565
I. Ya. Chebotareva
The fine structure of the seismic background in the territory of an oil field was studied using polyspectral analysis and surrogate models. The statistical test for Gaussianity and linearity showed that the natural seismic background in the 1–50 Hz frequency range is a nonlinear process. Bicoherence graphs revealed statistically significant peaks of phase-coupled triplets with a characteristic geometry of peak clustering in the triangular principal domain. To analyze the quasi-noise component of the seismic background, surrogate time series with a randomized phase spectrum were generated, the bispectra of which are free of triplet peaks. Bispectral analysis of surrogate series showed the presence of a non-Gaussian quasi-noise component in the seismic background in the frequency range of 1–6 Hz. Previously, the results of the analysis of the used set of records by two completely different methods, each of which extracts information from different components of the seismic background, quasi-noise and regular, were published. These studies showed that each of the two components contains information sufficient to estimate the total thickness of the productive intervals under the recording point. Based on the results of the bispectral analysis and the features of the algorithms of the two methods, a conclusion was made that the quadratically phase-coupled triplets and the non-Gaussian quasi-noise component in the field territory are manifestations of endogenic seismic emission and are generated by the same nonlinear process developing in the vicinity of an oil-saturated reservoir. The mechanism of seismic emission should be sought in the class of phenomena with quadratic nonlinearity. The statistical characteristics of the internal structure of the seismic background near oil wells have similar features that differ greatly from the statistical characteristics of the seismic record near a “dry” well located outside the reservoir and not producing oil. Previously unknown prognostic features of the oil/water saturation type of rocks have been identified.
{"title":"Statistical Characteristics of the Internal Structure of the Seismic Background over a Hydrocarbon Deposit","authors":"I. Ya. Chebotareva","doi":"10.1134/S1063771024602565","DOIUrl":"10.1134/S1063771024602565","url":null,"abstract":"<div><p>The fine structure of the seismic background in the territory of an oil field was studied using polyspectral analysis and surrogate models. The statistical test for Gaussianity and linearity showed that the natural seismic background in the 1–50 Hz frequency range is a nonlinear process. Bicoherence graphs revealed statistically significant peaks of phase-coupled triplets with a characteristic geometry of peak clustering in the triangular principal domain. To analyze the quasi-noise component of the seismic background, surrogate time series with a randomized phase spectrum were generated, the bispectra of which are free of triplet peaks. Bispectral analysis of surrogate series showed the presence of a non-Gaussian quasi-noise component in the seismic background in the frequency range of 1–6 Hz. Previously, the results of the analysis of the used set of records by two completely different methods, each of which extracts information from different components of the seismic background, quasi-noise and regular, were published. These studies showed that each of the two components contains information sufficient to estimate the total thickness of the productive intervals under the recording point. Based on the results of the bispectral analysis and the features of the algorithms of the two methods, a conclusion was made that the quadratically phase-coupled triplets and the non-Gaussian quasi-noise component in the field territory are manifestations of endogenic seismic emission and are generated by the same nonlinear process developing in the vicinity of an oil-saturated reservoir. The mechanism of seismic emission should be sought in the class of phenomena with quadratic nonlinearity. The statistical characteristics of the internal structure of the seismic background near oil wells have similar features that differ greatly from the statistical characteristics of the seismic record near a “dry” well located outside the reservoir and not producing oil. Previously unknown prognostic features of the oil/water saturation type of rocks have been identified.</p></div>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 2","pages":"263 - 276"},"PeriodicalIF":1.2,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-08-18DOI: 10.1134/S1063771024603108
M. A. Demyanov, V. F. Kopiev, M. A. Yudin
The problem of finding the spatiotemporal correlation function of pressure thermal fluctuations of gas near thermodynamic equilibrium is considered. The correlation function of pressure field equilibrium thermal fluctuations is obtained for viscous heat-conducting perfect gas filling an unbounded Euclidean space. The influence of the boundary on the correlation characteristics of thermal fluctuations of pressure is investigated using the example of a viscous isentropic perfect gas filling a small-section pipe with boundary conditions of a solid wall at the ends and periodic conditions for the case of a pipe closed in a circle.
{"title":"Correlation Function of Equilibrium Thermal Pressure Fluctuations in Viscous Heat-Conducting Gas","authors":"M. A. Demyanov, V. F. Kopiev, M. A. Yudin","doi":"10.1134/S1063771024603108","DOIUrl":"10.1134/S1063771024603108","url":null,"abstract":"<div><p>The problem of finding the spatiotemporal correlation function of pressure thermal fluctuations of gas near thermodynamic equilibrium is considered. The correlation function of pressure field equilibrium thermal fluctuations is obtained for viscous heat-conducting perfect gas filling an unbounded Euclidean space. The influence of the boundary on the correlation characteristics of thermal fluctuations of pressure is investigated using the example of a viscous isentropic perfect gas filling a small-section pipe with boundary conditions of a solid wall at the ends and periodic conditions for the case of a pipe closed in a circle.</p></div>","PeriodicalId":455,"journal":{"name":"Acoustical Physics","volume":"71 2","pages":"240 - 252"},"PeriodicalIF":1.2,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}