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International Journal of Engineering Inventions
e-ISSN: 2278-7461, p-ISSN: 2319-6491
Volume 3, Issue 7 (February 2014) PP: 06-08

Sonochemical Reactor with Phase Control
S. Shestakov, T. Shlenskaya, O. Krasulya, T. Baulina
Moscow State University of Technology and Management, Russia

Abstract: Describes the ability a managing the symmetric sonochemical reactor for physic-chemical treatment
of chemically pure water, true and colloidal aqueous solutions, as well as disperse systems with the speed of
sound in them more than at water. Such reactors are useful, for example, in the food industry, where are
processed of different concentrations the solutions NaCl. Demonstrated that the development allows you to get
the highest acoustic power dissipated on the cavitation and maximum performance of reactor without
increasing the electrical power input but by nonparametric control cavitation. Describes the reactor with two
tightly fastened by elastic gaskets and flanges at the nodes of the vibration displacement of the acoustic
transformers to opposite ends of the housing which distribute in the treated solution coherent plane elastic
waves. The distance between the ends of the radiating transformers reactor is multiple of the number of half
wavelengths of these oscillations in chemically pure water. Effect is achieved due to the fact that the phases of
emitters must always be shifted relative each other in a predetermined angle.
Keywords: sonochemical reactor, nonparametric control cavitation.

I. Introduction
Here we will talk about sonochemical reactor – apparatus for physical-chemical treatment ultrasound
cavitation water, and true colloidal aqueous solutions, as well as disperse systems the speed of sound is higher
than that of water. This processing is done in order to change their physico-chemical state the change of dipoledipole and ion- dipole interactions in their environment and phases for intensification of chemical reactions. In
sonochemical reactor the energy transfer into treated liquid has epithermal character and initiates processes
characteristic of high-energy chemistry when she on a certain time is exit of the thermodynamic equilibrium.
This allows to accumulate, for example, in water, without heating, a certain amount of energy and when
returning to an equilibrium state return it as the heat of hydration of dissolved substances and dispersed
component or herself by means of creating a molecular structure by hydrogen bonds among its molecules. In the
non-equilibrium state the water has a high ability to solubility and intensely hydrates the molecules and ions of
dissolved substances, creating them dense hydrate shells [1]. This process of relaxation of nonequilibrium state.
Sonochemical reactors are used, for example, in the food industry, pharmaceuticals and production of fuels
[2,3].

II.

Short Review Of Technical Literature

There are many designs of sonochemical reactors called still the cavitation reactors. They use as a
technological factor elastic energy of the ultrasonic wave in the water which generates the acoustic cavitation. In
some of them in creating this acoustic wave participates one ultrasonic transducer and one their reflective
element (wall of the chamber, reflector) [4]. But no matter how this reflector is arranged in the acoustic cell of
reactor on it dissipated some of the energy of the elastic wave, that reducing the efficiency of conversion to this
energy into energy cavitation, ie the efficiency of the reactor. Moreover, from the acoustics theory it is known
that the reflection coefficient of the wave reflector is the negative, because the materials from which made
reflectors have acoustic impedances are usually higher than that of water. Plane-elastic wave attenuates along a
wave beam from the surface of radiation, when some part of energy is dissipates in the water at internal friction
and cavitation [5]. Practically acceptable law of attenuating of amplitude wave is described in [6,7]. Therefore
are more effective sonochemical reactors have symmetric acoustic cell, which composed of two emitters
emitting coherent waves propagating along axis towards each other [8]. The superposition of these waves
creates a general wave in reactor. In this case, the general wave has a damping to direction of the geometric
center of the reactor. However, the bulk density of erosion power cavitation, more often, in reactors with a
length of the beam of up to three half-wavelengths has a maximum value in the geometric center. This is due to
the effect of non-parametric amplification cavitation [9]. This effect directionally is used to amplify cavitation
without any change of the acoustic parameters of the liquid and the dissolved therein gas [10] in the construction
of reactors with several independent waves in volume a fluid. This is done in two ways: by using a special
mutual location of the sources of coherent waves, or by controlling the phases of waves of these sources. The
second is known only for reactor where there is no superposition of waves initiating of cavitation. Therefore, in
a reactor with a two oppositely directed emitters on the same axis, if being processed the liquid, in which the
www.ijeijournal.com

Page | 6
Sonochemical Reactor with Phase Control
speed of sound is different from the speed of sound in the fluid for which it is designed, a part of energy is lost.
Specific acoustic impedance, for example, is water and saturated sodium chloride solution differs by 36%.
When processing the last to achieve the same sound pressure amplitude how in the water, which determines the
energy of cavitation, required a corresponding increase in the radiation power.

III.

Theoretical Studies

The reactor is symmetric about the center of mass and consists of a supporting body of the working
chamber with filling and discharge nipples, two emitters of coherent plane elastic waves, adjointed by flexible
gaskets and flanges to each side of the hull at the nodes of the vibration displacement of acoustic transformers.
Flanges tightened to each other and form with pipe body and transformers the working volume to skip through
the reactor liquid to be treated. Sources vibrations - electro acoustic transducers attaching to transformers by
means of pins. (Fig. 1) When the distance between the emitting planes transformers is an odd number of halfwaves emitters operate in phase, even number - in opposition phase.

Fig.1. Photo symmetric cavitation reactor on a tripod.

Clearly, to adjust reactor for speed of sound in the specific liquid being processed so that the resulting
wave amplitude would be always maximal without increasing the input power one can for example to change
the distance between the radiating planes acoustic transformers or change the frequency of the radiation so that
the phases of the counterpropagating waves coincided. But it is technically difficult task. Easier set the phase
shift of these vibrations on their source , leaving unchanged their frequency , that is, leave them coherent. This
would require availability in delay line control circuit, as in [9].
Through holding researching the model multibubble cavitation and the criterion similarity of
sonochemical reactors was found that obtaining high power of cavitation and maximum reactor productivity due
to optimal superposition of emitted towards each other waves should be set phase shift between the waves of
radiation sources. But the cavitation areas adjacent to the radiating surfaces not be should in contact with them
so as not to cause of their erosion. Has been found angle  which satisfies these conditions. Its can be
expressed by the following additive function:
20
1
ïƒȘ1 ïƒș
(1)
 
ïŹï°    2ïƒȘ N ïƒș  N ï€Źï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ 
3
2
2 
where:ï€ ïŹï€ â€“ wavelength of ultrasound in processed liquid in m; N – the number of half-waves of vibrations on the
axis of the reactor chamber between radiating surfaces of acoustic cell in chemically pure water;   – lower
integer part of number (floor). Under such conditions, cavitation areas which formed near the antinodes of
pressure common wave will take the largest volume. This will make the reactor more productive.

IV.

Experimental Studies

Comparison of reactors was by computer experiment with the mathematical model of cavitation reactor
and the similarity principle of cavitation processes. To this a reactor was selected, with the design similar to that
described in [8]. Number of half-wave of ultrasound in water between the radiating surfaces N = 3. In the
comparison was calculated the total volume of cavitation regions. In the reactor without phase offset, he was
331 ml, with an offset - 369 ml. Average density of power cavitation erosion in the chamber of the reactor when
the phase shift is made has increased by 1.18 times.
www.ijeijournal.com

Page | 7
Sonochemical Reactor with Phase Control
Fig. 2. Graphics sound pressure amplitude on the axis
of the reactor in the treated polystyrene latex: ▬ for
each radiator; ▬ total sound pressure. On the left
without phase displacement, on the right with
displacement. Numbers on the x-axis shows the
lengths of the segments on which acts a cavitation.

Fig.3. General view with cut by the diameter of the
working chamber sonochemical reactor, on which
comparative experiments were performed. In the
plane of the section through tonal pattern is shown
the distribution density erosive power of cavitation
in the upper part of the section without phase
displacement, at the bottom - with displacement.

In the experiment was carried out comparative dispersion of polystyrene latex. When processing latex
by the pressure pulses of cavitation the work is done against the cyclic strength of polystyrene particles which is
proportional to the power of cavitation. Modified dispersion of latex can be used as a measure of this work. In
the experiment, the control samples of latex were treated in mode of commonmode operation of emitters. A test
sample at the same initial temperature was treated during the same time when the phase shift between the
emitters was equal to angle 0,127 ï€ź By method Geller is found that polystyrene particle diameters the control
.
samples is equal 150 ± 10 nm and experienced 120 ± 10 nm.

V. Conclusion
The reactor operates in the following manner. In a treated liquid which passed through fittings with flat
surfaces of acoustic transformers spreads elastic waves the pressure amplitude of which decreases with distance
from these surfaces. In the resulting in liquid is established the common elastic wave with decreasing amplitude
to the center. In that wave, where the amplitude exceeds the threshold of cavitation, arise zones of cavitation
with pulsating bubbles which make useful work in the liquid. If in reactor the phases oscillation of emitters are
offset, which allows them to shape the resulting wave with the maximum amplitude, and sizes of the cavitation
areas increase too. As a result, the average bulk density of the erosive power of cavitation in the reactor chamber
and the reactor performance are also obtained more.

REFERENCES
[1].
[2].
[3].
[4].
[5].
[6].
[7].
[8].
[9].
[10].

Shestakov S. et al. Sonochemistry of Foods and Medicaments – a New Developing Area of High Energy Chemistry. Transnational
Journal of Science and Technology, V3, 1, 2013, pp. 1-12
Ashokkumar M. et al. A New Look at Cavitation and the Applications of Its Liquid-Phase Effects in the Processing of Food and
Fuel. Applied Physics Research, V4, 1, 2012, pp. 19-29
Shestakov S. Food sonochemistry: concept, theoretical aspects and practical applications. Saarbruecken: LAMBERT Academic
Publishing, 2012
Shestakov S. Krasnov A. Gorodischensky P. Mathematical model and the similarity criterion cavitation in sonoreactors. Applied
Physics, 2012, 1, pp. 31-39
Physics and technology of high-intensity ultrasound. Powerful ultrasonic fields. ed. L. Rosenberg. Moscow: Nauka, 1968 (in
Russian)
Shestakov S. Mathematical Model for the Spatial Distributing of Erosive Power Density of Multibubble Cavitation. Abstracts
Book of 1th Asia-Oceania Sonochemical Society Meeting. Melbourne, 2013, pp. 111-112
Shestakov S., Befus A. Formulation similarity criterion sonochemical reactors in processing environments that do not provide
acoustic resonance. Moscow: Dep. VINITI RAS, № 840-2008
Rink R., Shestakov S.. Cavitational reactor with symmetric nonmonolithic oscillatory system of the acoustic cell for processes of
food sonochemistry. Electronic Journal “Technical Acoustics”, http://www.ejta.org, 2012, 2
Shestakov S. Study the possibility of nonparametric amplification multibubble cavitation. Applied Physics, 6, 2008
Flannigan D., Suslik K. Plasma formation and temperature measurement during single-bubble cavitation. Letters to Nature, 434,
2005, pp. 52-55

www.ijeijournal.com

Page | 8

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Sonochemical Reactor with Phase Control

  • 1. International Journal of Engineering Inventions e-ISSN: 2278-7461, p-ISSN: 2319-6491 Volume 3, Issue 7 (February 2014) PP: 06-08 Sonochemical Reactor with Phase Control S. Shestakov, T. Shlenskaya, O. Krasulya, T. Baulina Moscow State University of Technology and Management, Russia Abstract: Describes the ability a managing the symmetric sonochemical reactor for physic-chemical treatment of chemically pure water, true and colloidal aqueous solutions, as well as disperse systems with the speed of sound in them more than at water. Such reactors are useful, for example, in the food industry, where are processed of different concentrations the solutions NaCl. Demonstrated that the development allows you to get the highest acoustic power dissipated on the cavitation and maximum performance of reactor without increasing the electrical power input but by nonparametric control cavitation. Describes the reactor with two tightly fastened by elastic gaskets and flanges at the nodes of the vibration displacement of the acoustic transformers to opposite ends of the housing which distribute in the treated solution coherent plane elastic waves. The distance between the ends of the radiating transformers reactor is multiple of the number of half wavelengths of these oscillations in chemically pure water. Effect is achieved due to the fact that the phases of emitters must always be shifted relative each other in a predetermined angle. Keywords: sonochemical reactor, nonparametric control cavitation. I. Introduction Here we will talk about sonochemical reactor – apparatus for physical-chemical treatment ultrasound cavitation water, and true colloidal aqueous solutions, as well as disperse systems the speed of sound is higher than that of water. This processing is done in order to change their physico-chemical state the change of dipoledipole and ion- dipole interactions in their environment and phases for intensification of chemical reactions. In sonochemical reactor the energy transfer into treated liquid has epithermal character and initiates processes characteristic of high-energy chemistry when she on a certain time is exit of the thermodynamic equilibrium. This allows to accumulate, for example, in water, without heating, a certain amount of energy and when returning to an equilibrium state return it as the heat of hydration of dissolved substances and dispersed component or herself by means of creating a molecular structure by hydrogen bonds among its molecules. In the non-equilibrium state the water has a high ability to solubility and intensely hydrates the molecules and ions of dissolved substances, creating them dense hydrate shells [1]. This process of relaxation of nonequilibrium state. Sonochemical reactors are used, for example, in the food industry, pharmaceuticals and production of fuels [2,3]. II. Short Review Of Technical Literature There are many designs of sonochemical reactors called still the cavitation reactors. They use as a technological factor elastic energy of the ultrasonic wave in the water which generates the acoustic cavitation. In some of them in creating this acoustic wave participates one ultrasonic transducer and one their reflective element (wall of the chamber, reflector) [4]. But no matter how this reflector is arranged in the acoustic cell of reactor on it dissipated some of the energy of the elastic wave, that reducing the efficiency of conversion to this energy into energy cavitation, ie the efficiency of the reactor. Moreover, from the acoustics theory it is known that the reflection coefficient of the wave reflector is the negative, because the materials from which made reflectors have acoustic impedances are usually higher than that of water. Plane-elastic wave attenuates along a wave beam from the surface of radiation, when some part of energy is dissipates in the water at internal friction and cavitation [5]. Practically acceptable law of attenuating of amplitude wave is described in [6,7]. Therefore are more effective sonochemical reactors have symmetric acoustic cell, which composed of two emitters emitting coherent waves propagating along axis towards each other [8]. The superposition of these waves creates a general wave in reactor. In this case, the general wave has a damping to direction of the geometric center of the reactor. However, the bulk density of erosion power cavitation, more often, in reactors with a length of the beam of up to three half-wavelengths has a maximum value in the geometric center. This is due to the effect of non-parametric amplification cavitation [9]. This effect directionally is used to amplify cavitation without any change of the acoustic parameters of the liquid and the dissolved therein gas [10] in the construction of reactors with several independent waves in volume a fluid. This is done in two ways: by using a special mutual location of the sources of coherent waves, or by controlling the phases of waves of these sources. The second is known only for reactor where there is no superposition of waves initiating of cavitation. Therefore, in a reactor with a two oppositely directed emitters on the same axis, if being processed the liquid, in which the www.ijeijournal.com Page | 6
  • 2. Sonochemical Reactor with Phase Control speed of sound is different from the speed of sound in the fluid for which it is designed, a part of energy is lost. Specific acoustic impedance, for example, is water and saturated sodium chloride solution differs by 36%. When processing the last to achieve the same sound pressure amplitude how in the water, which determines the energy of cavitation, required a corresponding increase in the radiation power. III. Theoretical Studies The reactor is symmetric about the center of mass and consists of a supporting body of the working chamber with filling and discharge nipples, two emitters of coherent plane elastic waves, adjointed by flexible gaskets and flanges to each side of the hull at the nodes of the vibration displacement of acoustic transformers. Flanges tightened to each other and form with pipe body and transformers the working volume to skip through the reactor liquid to be treated. Sources vibrations - electro acoustic transducers attaching to transformers by means of pins. (Fig. 1) When the distance between the emitting planes transformers is an odd number of halfwaves emitters operate in phase, even number - in opposition phase. Fig.1. Photo symmetric cavitation reactor on a tripod. Clearly, to adjust reactor for speed of sound in the specific liquid being processed so that the resulting wave amplitude would be always maximal without increasing the input power one can for example to change the distance between the radiating planes acoustic transformers or change the frequency of the radiation so that the phases of the counterpropagating waves coincided. But it is technically difficult task. Easier set the phase shift of these vibrations on their source , leaving unchanged their frequency , that is, leave them coherent. This would require availability in delay line control circuit, as in [9]. Through holding researching the model multibubble cavitation and the criterion similarity of sonochemical reactors was found that obtaining high power of cavitation and maximum reactor productivity due to optimal superposition of emitted towards each other waves should be set phase shift between the waves of radiation sources. But the cavitation areas adjacent to the radiating surfaces not be should in contact with them so as not to cause of their erosion. Has been found angle  which satisfies these conditions. Its can be expressed by the following additive function: 20 1 ïƒȘ1 ïƒș (1)   ïŹï°    2ïƒȘ N ïƒș  N ï€Źï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€ ï€  3 2 2  where:ï€ ïŹï€ â€“ wavelength of ultrasound in processed liquid in m; N – the number of half-waves of vibrations on the axis of the reactor chamber between radiating surfaces of acoustic cell in chemically pure water;   – lower integer part of number (floor). Under such conditions, cavitation areas which formed near the antinodes of pressure common wave will take the largest volume. This will make the reactor more productive. IV. Experimental Studies Comparison of reactors was by computer experiment with the mathematical model of cavitation reactor and the similarity principle of cavitation processes. To this a reactor was selected, with the design similar to that described in [8]. Number of half-wave of ultrasound in water between the radiating surfaces N = 3. In the comparison was calculated the total volume of cavitation regions. In the reactor without phase offset, he was 331 ml, with an offset - 369 ml. Average density of power cavitation erosion in the chamber of the reactor when the phase shift is made has increased by 1.18 times. www.ijeijournal.com Page | 7
  • 3. Sonochemical Reactor with Phase Control Fig. 2. Graphics sound pressure amplitude on the axis of the reactor in the treated polystyrene latex: ▬ for each radiator; ▬ total sound pressure. On the left without phase displacement, on the right with displacement. Numbers on the x-axis shows the lengths of the segments on which acts a cavitation. Fig.3. General view with cut by the diameter of the working chamber sonochemical reactor, on which comparative experiments were performed. In the plane of the section through tonal pattern is shown the distribution density erosive power of cavitation in the upper part of the section without phase displacement, at the bottom - with displacement. In the experiment was carried out comparative dispersion of polystyrene latex. When processing latex by the pressure pulses of cavitation the work is done against the cyclic strength of polystyrene particles which is proportional to the power of cavitation. Modified dispersion of latex can be used as a measure of this work. In the experiment, the control samples of latex were treated in mode of commonmode operation of emitters. A test sample at the same initial temperature was treated during the same time when the phase shift between the emitters was equal to angle 0,127 ï€ź By method Geller is found that polystyrene particle diameters the control . samples is equal 150 ± 10 nm and experienced 120 ± 10 nm. V. Conclusion The reactor operates in the following manner. In a treated liquid which passed through fittings with flat surfaces of acoustic transformers spreads elastic waves the pressure amplitude of which decreases with distance from these surfaces. In the resulting in liquid is established the common elastic wave with decreasing amplitude to the center. In that wave, where the amplitude exceeds the threshold of cavitation, arise zones of cavitation with pulsating bubbles which make useful work in the liquid. If in reactor the phases oscillation of emitters are offset, which allows them to shape the resulting wave with the maximum amplitude, and sizes of the cavitation areas increase too. As a result, the average bulk density of the erosive power of cavitation in the reactor chamber and the reactor performance are also obtained more. REFERENCES [1]. [2]. [3]. [4]. [5]. [6]. [7]. [8]. [9]. [10]. Shestakov S. et al. Sonochemistry of Foods and Medicaments – a New Developing Area of High Energy Chemistry. Transnational Journal of Science and Technology, V3, 1, 2013, pp. 1-12 Ashokkumar M. et al. A New Look at Cavitation and the Applications of Its Liquid-Phase Effects in the Processing of Food and Fuel. Applied Physics Research, V4, 1, 2012, pp. 19-29 Shestakov S. Food sonochemistry: concept, theoretical aspects and practical applications. Saarbruecken: LAMBERT Academic Publishing, 2012 Shestakov S. Krasnov A. Gorodischensky P. Mathematical model and the similarity criterion cavitation in sonoreactors. Applied Physics, 2012, 1, pp. 31-39 Physics and technology of high-intensity ultrasound. Powerful ultrasonic fields. ed. L. Rosenberg. Moscow: Nauka, 1968 (in Russian) Shestakov S. Mathematical Model for the Spatial Distributing of Erosive Power Density of Multibubble Cavitation. Abstracts Book of 1th Asia-Oceania Sonochemical Society Meeting. Melbourne, 2013, pp. 111-112 Shestakov S., Befus A. Formulation similarity criterion sonochemical reactors in processing environments that do not provide acoustic resonance. Moscow: Dep. VINITI RAS, № 840-2008 Rink R., Shestakov S.. Cavitational reactor with symmetric nonmonolithic oscillatory system of the acoustic cell for processes of food sonochemistry. Electronic Journal “Technical Acoustics”, http://www.ejta.org, 2012, 2 Shestakov S. Study the possibility of nonparametric amplification multibubble cavitation. Applied Physics, 6, 2008 Flannigan D., Suslik K. Plasma formation and temperature measurement during single-bubble cavitation. Letters to Nature, 434, 2005, pp. 52-55 www.ijeijournal.com Page | 8