Philippe Blanc-benon - Academia.edu (original) (raw)

Papers by Philippe Blanc-benon

Research paper thumbnail of Measurement of acoustic velocity in the stack of a thermoacoustic refrigerator using particle image velocimetry

Heat and Mass Transfer, Aug 8, 2007

Research paper thumbnail of Acoustic field measurements in a standing wave thermoacoustic refrigerator using time-resolved particle image velocimetry

Journal of the Acoustical Society of America, Apr 1, 2012

A standing-wave thermoacoustic refrigerator consists of a stack of plates placed in an acoustic r... more A standing-wave thermoacoustic refrigerator consists of a stack of plates placed in an acoustic resonator. Two heat exchangers are located at each stack extremity. The thermoacoustic effect takes place in the thermal and viscous boundary layers along each plate of the stack. It results in a heat transport along the plates and in a temperature difference between the two stack ends. In such devices, the full understanding of the heat transfer between the stack and the heat exchangers is a key issue to improve the global efficiency of these devices. The aim of this work is to investigate the vortex structures, which appear at the ends of the stack and modify the heat transfer. Here, the aerodynamic in the gap stack-exchanger is characterized using a time-resolved particle image velocimetry technique. Measurements are performed in a device operating at a frequency of 200 Hz. Instantaneous velocity fields are recorded at a frequency of 3125 Hz (ie 15 maps per acoustic period). Measurements show that vortex shedding occur at high pressure levels, when a nonlinear acoustic regime prevails, leading to an additional heating generated by viscous dissipation in the gap and a loss of efficiency.

Research paper thumbnail of Vortex identification and tracking in unsteady flows

Comptes Rendus Mecanique, Feb 1, 2009

Research paper thumbnail of Velocity measurements in a thermoacoustic refrigerator using Time-Resolved Particle Image Velocimetry

Bulletin of the American Physical Society, Nov 22, 2011

Research paper thumbnail of Instantaneous Temperature Measurements using Constant-Voltage Anemometry

Bulletin of the American Physical Society, Nov 22, 2011

Research paper thumbnail of Analysis of the acoustic field in a thermoacoustic system using time-resolved particle image velocimetry and constant-voltage anemometry

Research paper thumbnail of Investigation of the aerodynamic field in a standing wave thermoacoustic refrigerator using Time-Resolved Particle Image Velocimetry

ABSTRACT In thermoacoustic devices, the full understanding of the heat transfer between the stack... more ABSTRACT In thermoacoustic devices, the full understanding of the heat transfer between the stack and the heat exchangers is a key issue to improve the global efficiency of these devices. The goal of this paper is to investigate the vortex structures, which appear at the stack plates extremities and may impact the heat transfer. Here, the aerodynamic field between a stack and a heat exchanger is characterised with a time-resolved particle image velocimetry (TR-PIV) set-up. Measurements are performed in a standing wave thermoacoustic refrigerator operating at a frequency of 200 Hz. The employed TR-PIV set-up offers the possibility to acquire 3000 instantaneous velocity fields at a frequency of 3125 Hz (15 instantaneous velocity fields per acoustic period). Measurements show that vortex shedding can occur at high pressure level, when a nonlinear acoustic regime preveals, leading to an additional heating generated by viscous dissipation in the gap between the stack and the heat exchangers and a loss of efficiency.

Research paper thumbnail of Effect of a 2D Hill on the Propagation of Wind Turbine Noise

28th AIAA/CEAS Aeroacoustics 2022 Conference

Research paper thumbnail of Caractérisation expérimentale de matériaux poreux et de leur effets de bords pour application à la réfrigération thermoacoustique

HAL (Le Centre pour la Communication Scientifique Directe), Apr 11, 2022

Research paper thumbnail of Mesure de flux de chaleur dans un réfrigérateur thermoacoustique miniature

HAL (Le Centre pour la Communication Scientifique Directe), Aug 24, 2009

Dans le cadre de la miniaturisation de systèmes thermoacoustiques réfrigérants, un démonstrateur ... more Dans le cadre de la miniaturisation de systèmes thermoacoustiques réfrigérants, un démonstrateur de dimension réduite, muni d'un couple stack-échangeurs de chaleur, qui a la capacité de refroidir un liquide jusqu'à son changement de phase vers l'état solide aété construit. L'évolution temporelle de la température et le flux de chaleur transverse sont mesurésà l'aide de microcapteurs spécifiquement développés. Les premiers résultats expérimentaux sont présentés.

Research paper thumbnail of Aerodynamic and Thermal Measurements in a Standing Wave Thermoacoustic Refrigerator

Thermoacoustic refrigerators produce a cooling power from an acoustic energy. Over the last decad... more Thermoacoustic refrigerators produce a cooling power from an acoustic energy. Over the last decades, these devices have been extensively studied since they are environment-friendly, robust and miniaturizable. Despite all these advantages, their commercialization is limited by their low efficiency. One reason for this limitation comes from the complex thermo-fluid process between the stack and the two heat exchangers which is still not sufficiently understood to allow for optimization. In particular, at high acoustic pressure level, vortex shedding can occur behind the stack as highlight by [Berson & al., Heat Mass Trans, 44, 10151023 (2008)]. The created vortex can affect heat transfer between the stack and the heat exchangers and thus, they can reduce the system performance. In this work, aerodynamic and thermal measurements are both conducted in a standing wave thermoacoustic refrigerator allowing investigation of vortex influence on the system performance. The proposed device consists on a resonator operated at frequency of 200 Hz, with hot and cold heat exchangers placed at the stack extremities. The working fluid is air at ambient temperature and atmospheric pressure. The aerodynamic field behind the stack is described using high-speed Particle Image Velocimetry. This technique allows the acoustic velocity field measurement at a frequency up to 3000 Hz. Thermal measurements consist on the acquisition of both the temperature evolution along the stack and the heat fluxes extracted at the cold heat exchanger. These measurements are performed by specific micro-sensors developed by MEMS technology. The combination of these two measurements should be helpful for the further understanding of the heat transfer between the stack and the heat exchangers.

Research paper thumbnail of Cold wire constant voltage anemometry to measure temperature fluctuations and its application in a thermoacoustic system

Review of Scientific Instruments, Apr 1, 2017

The knowledge of temperature fluctuations is essential for most thermoacoustic systems. In the pr... more The knowledge of temperature fluctuations is essential for most thermoacoustic systems. In the present paper, cold wire constant-voltage anemometry (CVA) to measure temperature fluctuations is presented. Corrections for the thermal inertia and for the end losses of the wire are applied during the post-processing. The correction for the thermal inertia of the cold wire is achieved by applying a time dependent thermal lag as proposed originally for a constant-current anemometry (CCA) system. This thermal lag is measured in parallel by a hot wire. The thermal end losses of the wires to their supports are also considered and approximate corrections are proposed. The procedure for the cold wire CVA is validated in the acoustic field of an acoustic resonator with wires of different lengths. A comparison between a CVA and a CCA measurement also confirms the CVA measurement. Furthermore, the proposed measurement procedure is applied close to the stack of a thermoacoustic refrigerator. Supposing a two-dimensional flow, the simultaneous measurement of velocity and temperature fluctuations is possible. This allows a detailed examination of the acoustic field close to the stack, including the study of the correlation between temperature and velocity.

Research paper thumbnail of Mesure de l' Élasticité de la membrane cellulaire pour l'OPtimisation de l'administration de médicaments anticancéreux par UltraSons - ÉlastOPUS

HAL (Le Centre pour la Communication Scientifique Directe), Oct 17, 2022

HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific re... more HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

Research paper thumbnail of Low-boom and classical N-wave sonic boom propagation in random inhomogeneous layers using nonlinear wide-angle parabolic equation: statistical data comparison

HAL (Le Centre pour la Communication Scientifique Directe), Dec 7, 2020

International audienceA modern concept of supersonic civilian aircraft relies on the idea of fuse... more International audienceA modern concept of supersonic civilian aircraft relies on the idea of fuselage and wings profiling aimed to avoid the coalescence of individual shocks generated by different parts of an aircraft to a single shock. Without profiling, the shock wave propagating from near field to the ground is transformed into a sonic boom with classical N-wave waveform due to acoustic nonlinear effects. The N-wave is perceived as very loud and annoying impulse noise. With profiling, the resulting low-boom waveform usually has a flat-top form or an increased rise time onset and produces much less noise than the N-wave. However, after propagating through the planetary boundary layer sonic boom waveforms are randomly altered due to refraction on sound speed inhomogeneities and wind fluctuations of different scales which are attributed to the turbulence. For example, focusing inhomogeneities result in the formation of caustics where sonic boom peak overpressure is amplified by several times and classical N-wave waveform is transformed to a U-wave. This randomly occurring physical process potentially increases noise level perceived by the public. In this work, a two-dimensional one-way wide-angle nonlinear parabolic equation is used to simulate classical N-wave and model low-boom wave propagation through a layer with random sound speed inhomogeneities constructed from the energy spectrum of homogeneous isotropic turbulence. Using a large number of realizations of random acoustic field we analyzed the statistics of the peak overpressure, the rise time and the shock front steepness at the ground after propagation through the inhomogeneous layer. The advantage of low-boom waveform over classical N-wave in producing less noise is discussed. This work is supported by RSF grant №18-72-00196 and also by the LABEX CeLyA (ANR-10-LABX-0060) of Université de Lyon, within the program «Investissements d’Avenir» (ANR-16-IDEX-0005) operated by the French National Research Agency (ANR)

Research paper thumbnail of Application of Mach-Zehnder interferometer to characterize spark-generated spherical N-waves in air. (ASA Meeting Abstract)

Journal of the Acoustical Society of America, 2013

Research paper thumbnail of Statistics of peak overpressure and shock steepness for linear and nonlinear <i>N</i>-wave propagation in a kinematic turbulence

Journal of the Acoustical Society of America, Dec 1, 2017

Linear and nonlinear propagation of high amplitude acoustic pulses through a turbulent layer in a... more Linear and nonlinear propagation of high amplitude acoustic pulses through a turbulent layer in air is investigated using a two-dimensional KZK-type (Khokhlov-Zabolotskaya-Kuznetsov) equation. Initial waves are symmetrical N-waves with shock fronts of finite width. A modified von K arm an spectrum model is used to generate random wind velocity fluctuations associated with the turbulence. Physical parameters in simulations correspond to previous laboratory scale experiments where N-waves with 1.4 cm wavelength propagated through a turbulence layer with the outer scale of about 16 cm. Mean value and standard deviation of peak overpressure and shock steepness, as well as cumulative probabilities to observe amplified peak overpressure and shock steepness, are analyzed. Nonlinear propagation effects are shown to enhance pressure level in random foci for moderate initial amplitudes of N-waves thus increasing the probability to observe highly peaked waveforms. Saturation of the pressure level is observed for stronger nonlinear effects. It is shown that in the linear propagation regime, the turbulence mainly leads to the smearing of shock fronts, thus decreasing the probability to observe high values of steepness, whereas nonlinear effects dramatically increase the probability to observe steep shocks. V

Research paper thumbnail of Irregular reflection of weak acoustic shock pulses on rigid boundaries : Schlieren experiments and direct numerical simulation based on a Navier-Stokes solver

Physics of Fluids, Feb 1, 2016

The local interactions occurring between incident and reflected shock waves in the vicinity of ri... more The local interactions occurring between incident and reflected shock waves in the vicinity of rigid surfaces are investigated. Both regular and irregular-also called von Neumann-regimes of reflection are studied, via experimental and numerical simulations. Shock waves are produced experimentally with a 20 kV electrical spark source which allows the generation of spherically diverging acoustic shocks. The behaviour of the resulting weak acoustic shocks near rigid boundaries is visualized with a Schlieren optical technique which allows the spatial structure of the shocks to be studied. In particular, the evolution of the Mach stem forming above a flat surface is examined, and its height is observed to be directly linked to the angle of incidence and the pressure amplitude of the incident shock. The propagation of an acoustic shock between two parallel rigid boundaries is also studied. It is shown that the strong interactions between the Mach stems emerging from the two boundaries can lead to a drastic modification of the morphology of the acoustic field in the waveguide. Experimental results are compared to numerical results obtained from high-order finite-difference based simulations of the 2D Navier-Stokes equations. The good agreement between the experimental distribution of the acoustic field and numerical results suggests that numerical simulations are promising as a predictive tool to study nonlinear acoustic propagation of acoustic waves in complex geometrical configurations with rigid boundaries.

Research paper thumbnail of Modelling statistics of sonic boom parameters in turbulent media using nonlinear parabolic equation

Journal of the Acoustical Society of America, Apr 1, 2021

Over the past decade, plans to develop a new generation of supersonic passenger aircrafts have sp... more Over the past decade, plans to develop a new generation of supersonic passenger aircrafts have spurred interest in sonic boom propagation in the atmosphere. New designs are focused on reducing its loudness on the ground. Sonic boom waves are affected by propagation in turbulence of the planetary boundary layer occurring in few kilometers above the ground. Therefore, sonic boom wave parameters such as peak pressure and rise time, as well as corresponding noise levels, become random, which requires statistical characterization. Theoretical analysis of the effects of the presence of turbulent layer is frequently based on one-way model equations of different complexity, of which the basic equation is the nonlinear parabolic Khokhlov-Zabolotskaya-Kuznetsov-type (KZK) equation. Here, sonic boom propagation through homogeneous isotropic turbulence is simulated using the KZK equation. Classical N-waves with different amplitudes and several examples of low-boom waveforms are considered as input waveforms at the entrance to turbulent layer. Statistical data of the peak pressure, shock front steepness, and perceived loudness metric are analyzed. It is shown than unless sonic boom amplitude exceeds a certain threshold, perceived loudness variability is mainly determined by waveform spectral components at mid-range frequencies around 100 Hz. [Work supported by RSF-18-72-00196 and ANR-10-LABX-0060/ANR-16-IDEX-0005.]

Research paper thumbnail of The use of optical methods for measuring weak acoustic shock waves in homogeneous air and close to reflecting boundaries

Journal of the Acoustical Society of America, Oct 1, 2020

Measuring blast waves in laboratory-scale experiments using acoustical methods is a challenge. Op... more Measuring blast waves in laboratory-scale experiments using acoustical methods is a challenge. Optical methods provide an attractive possibility for recording pressure signatures of weak acoustic shocks. In this presentation, recent experiments for reconstructing pressure waveforms of spark-generated spherically divergent blast waves (1.8 kPa amplitude and 50 μs duration at 15 cm distance from the source) both in homogeneous air and close to reflecting surfaces are overviewed. Three methods were employed: shadowgraphy, schlieren, and interferometry. It was shown that shadowgraphy method allowed for measuring shock thickness and its amplitude. Schlieren technique provided reconstruction of the pressure waveforms in homogeneous air. In the reconstruction process the front geometry was assumed to be spherical or cylindrical. The exposure time of the high-speed camera was a limiting factor for the time resolution. Mach-Zehnder interferometer method was the most relevant for laboratory-scale measurements. The method reached 0.4 μs of time resolution, which was more than 6 times higher than that of 1/8-in condenser microphones. Moreover, the Mach-Zehnder interferometry allowed quantitative reconstruction of the pressure waveform without additional calibrations. The method was successfully applied for measuring waveforms in homogeneous air and reflected waves from rigid smooth and rough surfaces. [Work supported by ANR-10-LABX-0060/ANR-16-IDEX-0005.]

Research paper thumbnail of Nonlinear reflection of weak shock waves from a rough surface in air

Journal of the Acoustical Society of America, Sep 1, 2018

Irregular reflection of weak acoustic shock waves occurs under the framework of the von Neumann p... more Irregular reflection of weak acoustic shock waves occurs under the framework of the von Neumann paradox. In this study, the influence of the surface roughness on the reflection pattern was studied experimentally using spark-generated spherically divergent N-waves of 1.4 cm length reflecting from rigid rough surfaces in air. Dimensions of the roughness were varied from 20 up to 500 μm for different surfaces. A Mach-Zehnder interferometry method was used to reconstruct the pressure waveforms near the surface. The reconstruction was performed by applying the inverse Abel transform to the phase of the signal measured by the interferometer. It was shown that the height of the Mach stem became shorter for surfaces with larger dimensions of the roughness and disappeared when the surface roughness was large enough. Such tendency was also observed in simulations based on the Euler equations where the acoustic source was introduced as a Gaussian-envelope energy injection and the roughness was either sinusoidal or random and described by a Gaussian correlation function. [Work supported by RSF-17-72-10277 and by the Labex CeLyA of Université de Lyon, operated by the French National Research Agency (ANR-10-LABX-0060/ ANR-11-IDEX-0007).]

Research paper thumbnail of Measurement of acoustic velocity in the stack of a thermoacoustic refrigerator using particle image velocimetry

Heat and Mass Transfer, Aug 8, 2007

Research paper thumbnail of Acoustic field measurements in a standing wave thermoacoustic refrigerator using time-resolved particle image velocimetry

Journal of the Acoustical Society of America, Apr 1, 2012

A standing-wave thermoacoustic refrigerator consists of a stack of plates placed in an acoustic r... more A standing-wave thermoacoustic refrigerator consists of a stack of plates placed in an acoustic resonator. Two heat exchangers are located at each stack extremity. The thermoacoustic effect takes place in the thermal and viscous boundary layers along each plate of the stack. It results in a heat transport along the plates and in a temperature difference between the two stack ends. In such devices, the full understanding of the heat transfer between the stack and the heat exchangers is a key issue to improve the global efficiency of these devices. The aim of this work is to investigate the vortex structures, which appear at the ends of the stack and modify the heat transfer. Here, the aerodynamic in the gap stack-exchanger is characterized using a time-resolved particle image velocimetry technique. Measurements are performed in a device operating at a frequency of 200 Hz. Instantaneous velocity fields are recorded at a frequency of 3125 Hz (ie 15 maps per acoustic period). Measurements show that vortex shedding occur at high pressure levels, when a nonlinear acoustic regime prevails, leading to an additional heating generated by viscous dissipation in the gap and a loss of efficiency.

Research paper thumbnail of Vortex identification and tracking in unsteady flows

Comptes Rendus Mecanique, Feb 1, 2009

Research paper thumbnail of Velocity measurements in a thermoacoustic refrigerator using Time-Resolved Particle Image Velocimetry

Bulletin of the American Physical Society, Nov 22, 2011

Research paper thumbnail of Instantaneous Temperature Measurements using Constant-Voltage Anemometry

Bulletin of the American Physical Society, Nov 22, 2011

Research paper thumbnail of Analysis of the acoustic field in a thermoacoustic system using time-resolved particle image velocimetry and constant-voltage anemometry

Research paper thumbnail of Investigation of the aerodynamic field in a standing wave thermoacoustic refrigerator using Time-Resolved Particle Image Velocimetry

ABSTRACT In thermoacoustic devices, the full understanding of the heat transfer between the stack... more ABSTRACT In thermoacoustic devices, the full understanding of the heat transfer between the stack and the heat exchangers is a key issue to improve the global efficiency of these devices. The goal of this paper is to investigate the vortex structures, which appear at the stack plates extremities and may impact the heat transfer. Here, the aerodynamic field between a stack and a heat exchanger is characterised with a time-resolved particle image velocimetry (TR-PIV) set-up. Measurements are performed in a standing wave thermoacoustic refrigerator operating at a frequency of 200 Hz. The employed TR-PIV set-up offers the possibility to acquire 3000 instantaneous velocity fields at a frequency of 3125 Hz (15 instantaneous velocity fields per acoustic period). Measurements show that vortex shedding can occur at high pressure level, when a nonlinear acoustic regime preveals, leading to an additional heating generated by viscous dissipation in the gap between the stack and the heat exchangers and a loss of efficiency.

Research paper thumbnail of Effect of a 2D Hill on the Propagation of Wind Turbine Noise

28th AIAA/CEAS Aeroacoustics 2022 Conference

Research paper thumbnail of Caractérisation expérimentale de matériaux poreux et de leur effets de bords pour application à la réfrigération thermoacoustique

HAL (Le Centre pour la Communication Scientifique Directe), Apr 11, 2022

Research paper thumbnail of Mesure de flux de chaleur dans un réfrigérateur thermoacoustique miniature

HAL (Le Centre pour la Communication Scientifique Directe), Aug 24, 2009

Dans le cadre de la miniaturisation de systèmes thermoacoustiques réfrigérants, un démonstrateur ... more Dans le cadre de la miniaturisation de systèmes thermoacoustiques réfrigérants, un démonstrateur de dimension réduite, muni d'un couple stack-échangeurs de chaleur, qui a la capacité de refroidir un liquide jusqu'à son changement de phase vers l'état solide aété construit. L'évolution temporelle de la température et le flux de chaleur transverse sont mesurésà l'aide de microcapteurs spécifiquement développés. Les premiers résultats expérimentaux sont présentés.

Research paper thumbnail of Aerodynamic and Thermal Measurements in a Standing Wave Thermoacoustic Refrigerator

Thermoacoustic refrigerators produce a cooling power from an acoustic energy. Over the last decad... more Thermoacoustic refrigerators produce a cooling power from an acoustic energy. Over the last decades, these devices have been extensively studied since they are environment-friendly, robust and miniaturizable. Despite all these advantages, their commercialization is limited by their low efficiency. One reason for this limitation comes from the complex thermo-fluid process between the stack and the two heat exchangers which is still not sufficiently understood to allow for optimization. In particular, at high acoustic pressure level, vortex shedding can occur behind the stack as highlight by [Berson &amp;amp; al., Heat Mass Trans, 44, 10151023 (2008)]. The created vortex can affect heat transfer between the stack and the heat exchangers and thus, they can reduce the system performance. In this work, aerodynamic and thermal measurements are both conducted in a standing wave thermoacoustic refrigerator allowing investigation of vortex influence on the system performance. The proposed device consists on a resonator operated at frequency of 200 Hz, with hot and cold heat exchangers placed at the stack extremities. The working fluid is air at ambient temperature and atmospheric pressure. The aerodynamic field behind the stack is described using high-speed Particle Image Velocimetry. This technique allows the acoustic velocity field measurement at a frequency up to 3000 Hz. Thermal measurements consist on the acquisition of both the temperature evolution along the stack and the heat fluxes extracted at the cold heat exchanger. These measurements are performed by specific micro-sensors developed by MEMS technology. The combination of these two measurements should be helpful for the further understanding of the heat transfer between the stack and the heat exchangers.

Research paper thumbnail of Cold wire constant voltage anemometry to measure temperature fluctuations and its application in a thermoacoustic system

Review of Scientific Instruments, Apr 1, 2017

The knowledge of temperature fluctuations is essential for most thermoacoustic systems. In the pr... more The knowledge of temperature fluctuations is essential for most thermoacoustic systems. In the present paper, cold wire constant-voltage anemometry (CVA) to measure temperature fluctuations is presented. Corrections for the thermal inertia and for the end losses of the wire are applied during the post-processing. The correction for the thermal inertia of the cold wire is achieved by applying a time dependent thermal lag as proposed originally for a constant-current anemometry (CCA) system. This thermal lag is measured in parallel by a hot wire. The thermal end losses of the wires to their supports are also considered and approximate corrections are proposed. The procedure for the cold wire CVA is validated in the acoustic field of an acoustic resonator with wires of different lengths. A comparison between a CVA and a CCA measurement also confirms the CVA measurement. Furthermore, the proposed measurement procedure is applied close to the stack of a thermoacoustic refrigerator. Supposing a two-dimensional flow, the simultaneous measurement of velocity and temperature fluctuations is possible. This allows a detailed examination of the acoustic field close to the stack, including the study of the correlation between temperature and velocity.

Research paper thumbnail of Mesure de l' Élasticité de la membrane cellulaire pour l'OPtimisation de l'administration de médicaments anticancéreux par UltraSons - ÉlastOPUS

HAL (Le Centre pour la Communication Scientifique Directe), Oct 17, 2022

HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific re... more HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

Research paper thumbnail of Low-boom and classical N-wave sonic boom propagation in random inhomogeneous layers using nonlinear wide-angle parabolic equation: statistical data comparison

HAL (Le Centre pour la Communication Scientifique Directe), Dec 7, 2020

International audienceA modern concept of supersonic civilian aircraft relies on the idea of fuse... more International audienceA modern concept of supersonic civilian aircraft relies on the idea of fuselage and wings profiling aimed to avoid the coalescence of individual shocks generated by different parts of an aircraft to a single shock. Without profiling, the shock wave propagating from near field to the ground is transformed into a sonic boom with classical N-wave waveform due to acoustic nonlinear effects. The N-wave is perceived as very loud and annoying impulse noise. With profiling, the resulting low-boom waveform usually has a flat-top form or an increased rise time onset and produces much less noise than the N-wave. However, after propagating through the planetary boundary layer sonic boom waveforms are randomly altered due to refraction on sound speed inhomogeneities and wind fluctuations of different scales which are attributed to the turbulence. For example, focusing inhomogeneities result in the formation of caustics where sonic boom peak overpressure is amplified by several times and classical N-wave waveform is transformed to a U-wave. This randomly occurring physical process potentially increases noise level perceived by the public. In this work, a two-dimensional one-way wide-angle nonlinear parabolic equation is used to simulate classical N-wave and model low-boom wave propagation through a layer with random sound speed inhomogeneities constructed from the energy spectrum of homogeneous isotropic turbulence. Using a large number of realizations of random acoustic field we analyzed the statistics of the peak overpressure, the rise time and the shock front steepness at the ground after propagation through the inhomogeneous layer. The advantage of low-boom waveform over classical N-wave in producing less noise is discussed. This work is supported by RSF grant &#8470;18-72-00196 and also by the LABEX CeLyA (ANR-10-LABX-0060) of Université de Lyon, within the program «Investissements d’Avenir» (ANR-16-IDEX-0005) operated by the French National Research Agency (ANR)

Research paper thumbnail of Application of Mach-Zehnder interferometer to characterize spark-generated spherical N-waves in air. (ASA Meeting Abstract)

Journal of the Acoustical Society of America, 2013

Research paper thumbnail of Statistics of peak overpressure and shock steepness for linear and nonlinear <i>N</i>-wave propagation in a kinematic turbulence

Journal of the Acoustical Society of America, Dec 1, 2017

Linear and nonlinear propagation of high amplitude acoustic pulses through a turbulent layer in a... more Linear and nonlinear propagation of high amplitude acoustic pulses through a turbulent layer in air is investigated using a two-dimensional KZK-type (Khokhlov-Zabolotskaya-Kuznetsov) equation. Initial waves are symmetrical N-waves with shock fronts of finite width. A modified von K arm an spectrum model is used to generate random wind velocity fluctuations associated with the turbulence. Physical parameters in simulations correspond to previous laboratory scale experiments where N-waves with 1.4 cm wavelength propagated through a turbulence layer with the outer scale of about 16 cm. Mean value and standard deviation of peak overpressure and shock steepness, as well as cumulative probabilities to observe amplified peak overpressure and shock steepness, are analyzed. Nonlinear propagation effects are shown to enhance pressure level in random foci for moderate initial amplitudes of N-waves thus increasing the probability to observe highly peaked waveforms. Saturation of the pressure level is observed for stronger nonlinear effects. It is shown that in the linear propagation regime, the turbulence mainly leads to the smearing of shock fronts, thus decreasing the probability to observe high values of steepness, whereas nonlinear effects dramatically increase the probability to observe steep shocks. V

Research paper thumbnail of Irregular reflection of weak acoustic shock pulses on rigid boundaries : Schlieren experiments and direct numerical simulation based on a Navier-Stokes solver

Physics of Fluids, Feb 1, 2016

The local interactions occurring between incident and reflected shock waves in the vicinity of ri... more The local interactions occurring between incident and reflected shock waves in the vicinity of rigid surfaces are investigated. Both regular and irregular-also called von Neumann-regimes of reflection are studied, via experimental and numerical simulations. Shock waves are produced experimentally with a 20 kV electrical spark source which allows the generation of spherically diverging acoustic shocks. The behaviour of the resulting weak acoustic shocks near rigid boundaries is visualized with a Schlieren optical technique which allows the spatial structure of the shocks to be studied. In particular, the evolution of the Mach stem forming above a flat surface is examined, and its height is observed to be directly linked to the angle of incidence and the pressure amplitude of the incident shock. The propagation of an acoustic shock between two parallel rigid boundaries is also studied. It is shown that the strong interactions between the Mach stems emerging from the two boundaries can lead to a drastic modification of the morphology of the acoustic field in the waveguide. Experimental results are compared to numerical results obtained from high-order finite-difference based simulations of the 2D Navier-Stokes equations. The good agreement between the experimental distribution of the acoustic field and numerical results suggests that numerical simulations are promising as a predictive tool to study nonlinear acoustic propagation of acoustic waves in complex geometrical configurations with rigid boundaries.

Research paper thumbnail of Modelling statistics of sonic boom parameters in turbulent media using nonlinear parabolic equation

Journal of the Acoustical Society of America, Apr 1, 2021

Over the past decade, plans to develop a new generation of supersonic passenger aircrafts have sp... more Over the past decade, plans to develop a new generation of supersonic passenger aircrafts have spurred interest in sonic boom propagation in the atmosphere. New designs are focused on reducing its loudness on the ground. Sonic boom waves are affected by propagation in turbulence of the planetary boundary layer occurring in few kilometers above the ground. Therefore, sonic boom wave parameters such as peak pressure and rise time, as well as corresponding noise levels, become random, which requires statistical characterization. Theoretical analysis of the effects of the presence of turbulent layer is frequently based on one-way model equations of different complexity, of which the basic equation is the nonlinear parabolic Khokhlov-Zabolotskaya-Kuznetsov-type (KZK) equation. Here, sonic boom propagation through homogeneous isotropic turbulence is simulated using the KZK equation. Classical N-waves with different amplitudes and several examples of low-boom waveforms are considered as input waveforms at the entrance to turbulent layer. Statistical data of the peak pressure, shock front steepness, and perceived loudness metric are analyzed. It is shown than unless sonic boom amplitude exceeds a certain threshold, perceived loudness variability is mainly determined by waveform spectral components at mid-range frequencies around 100 Hz. [Work supported by RSF-18-72-00196 and ANR-10-LABX-0060/ANR-16-IDEX-0005.]

Research paper thumbnail of The use of optical methods for measuring weak acoustic shock waves in homogeneous air and close to reflecting boundaries

Journal of the Acoustical Society of America, Oct 1, 2020

Measuring blast waves in laboratory-scale experiments using acoustical methods is a challenge. Op... more Measuring blast waves in laboratory-scale experiments using acoustical methods is a challenge. Optical methods provide an attractive possibility for recording pressure signatures of weak acoustic shocks. In this presentation, recent experiments for reconstructing pressure waveforms of spark-generated spherically divergent blast waves (1.8 kPa amplitude and 50 μs duration at 15 cm distance from the source) both in homogeneous air and close to reflecting surfaces are overviewed. Three methods were employed: shadowgraphy, schlieren, and interferometry. It was shown that shadowgraphy method allowed for measuring shock thickness and its amplitude. Schlieren technique provided reconstruction of the pressure waveforms in homogeneous air. In the reconstruction process the front geometry was assumed to be spherical or cylindrical. The exposure time of the high-speed camera was a limiting factor for the time resolution. Mach-Zehnder interferometer method was the most relevant for laboratory-scale measurements. The method reached 0.4 μs of time resolution, which was more than 6 times higher than that of 1/8-in condenser microphones. Moreover, the Mach-Zehnder interferometry allowed quantitative reconstruction of the pressure waveform without additional calibrations. The method was successfully applied for measuring waveforms in homogeneous air and reflected waves from rigid smooth and rough surfaces. [Work supported by ANR-10-LABX-0060/ANR-16-IDEX-0005.]

Research paper thumbnail of Nonlinear reflection of weak shock waves from a rough surface in air

Journal of the Acoustical Society of America, Sep 1, 2018

Irregular reflection of weak acoustic shock waves occurs under the framework of the von Neumann p... more Irregular reflection of weak acoustic shock waves occurs under the framework of the von Neumann paradox. In this study, the influence of the surface roughness on the reflection pattern was studied experimentally using spark-generated spherically divergent N-waves of 1.4 cm length reflecting from rigid rough surfaces in air. Dimensions of the roughness were varied from 20 up to 500 μm for different surfaces. A Mach-Zehnder interferometry method was used to reconstruct the pressure waveforms near the surface. The reconstruction was performed by applying the inverse Abel transform to the phase of the signal measured by the interferometer. It was shown that the height of the Mach stem became shorter for surfaces with larger dimensions of the roughness and disappeared when the surface roughness was large enough. Such tendency was also observed in simulations based on the Euler equations where the acoustic source was introduced as a Gaussian-envelope energy injection and the roughness was either sinusoidal or random and described by a Gaussian correlation function. [Work supported by RSF-17-72-10277 and by the Labex CeLyA of Université de Lyon, operated by the French National Research Agency (ANR-10-LABX-0060/ ANR-11-IDEX-0007).]