CN111773769B - Waste oil emulsion chaotic frequency pulse electric field demulsification method and system - Google Patents
Waste oil emulsion chaotic frequency pulse electric field demulsification method and system Download PDFInfo
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Abstract
The invention discloses a waste oil emulsion chaotic frequency pulse electric field demulsification method and a system, firstly, a chaotic high-voltage pulse electric field with constant amplitude and equal pulse width is generated by regulating and controlling chaotic pulse frequency; the frequency in the frequency chaos comprises the resonance frequency of emulsified liquid drops, and then a frequency chaos high-voltage pulse electric field acts on the waste oil emulsion to break the emulsion and dehydrate. The waste oil emulsion chaotic frequency pulse electric field demulsification method provided by the invention is characterized in that a chaotic frequency electric field with constant amplitude and equal pulse width is applied to demulsify and dehydrate the characteristics of the pulse electric field, so that the defect that the resonance frequency of liquid drops in emulsified oil cannot be covered by a common constant pulse electric field is overcome, the influence on demulsification efficiency caused by uncertain electric field amplitude and pulse width can be avoided by the constant amplitude and equal pulse width, the full coverage of the emulsion liquid drop electric field resonance frequency can be realized by the chaotic and adjustable and controllable pulse rate, the maximum efficiency of electric field demulsification is exerted, and the requirement of efficient demulsification and dehydration in the industrial waste oil recycling process is met.
Description
Technical Field
The invention relates to the technical field of waste oil treatment, in particular to a waste oil emulsion chaotic frequency pulse electric field demulsification method and a waste oil emulsion chaotic frequency pulse electric field demulsification system.
Background
Lubricating oil plays roles of lubrication, shock absorption, cooling and the like in equipment, and is known as 'blood' of modern industry. However, most or all of the lubricating oil is finally reduced to industrial waste oil due to physical, chemical or human factors during the use process. The production of industrial waste oil is large in the whole world every year, most of the industrial waste oil is incinerated and dumped, and a large amount of petroleum resources are wasted while the ecological safety of the atmosphere, water sources, soil and the like is greatly threatened. The resource utilization and harmless disposal of industrial waste oil are highly regarded by the national strategy, economic development and environmental protection of all countries.
In a plurality of industrial waste oil recycling processes, the primary link is demulsification and dehydration treatment. The conventional demulsification processes such as a sedimentation method, a centrifugal method, a chemical method, a vacuum heating method and the like are difficult to meet the requirements on high efficiency and economy, and the development of a waste oil recycling technology is restricted. Research shows that the pulsed electric field demulsification method has the advantages of simple structure, high demulsification speed and low working energy consumption, is more advantageous compared with other demulsification processes, and is widely applied to the field of petroleum engineering. Researches show that the main factors of the efficient demulsification of the pulse electric field are that harmonic resonance (resonance for short) occurs to liquid drops in oil under the action of the electric field, the collision probability of adjacent liquid drops is increased due to the severe stretching deformation of the liquid drops, the mechanical strength of an interface membrane of the liquid drops is weakened, and the demulsification effect is enhanced. However, the distribution span of the particle sizes of the droplets in the waste oil emulsion is large, and the droplets are dynamically distributed in a multi-scale manner, and have micron-sized droplets and millimeter-sized droplets, so that the harmonic resonance frequency of the droplets is uncertain and non-uniform.
Therefore, the common constant pulse electric field cannot cover the resonance frequency of all the liquid drops in the emulsified oil, so that the demulsification effect is greatly reduced, and the maximum efficiency of the method is difficult to exert.
Disclosure of Invention
In view of the above, the present invention provides a method and a system for demulsifying waste oil emulsion by using a chaotic frequency pulsed electric field.
In order to achieve the purpose, the invention provides the following technical scheme:
the invention provides a waste oil emulsion chaotic frequency pulse electric field demulsification method, which comprises the following steps:
obtaining physical parameters of the waste oil emulsion;
calculating to obtain the amplitude and the pulse width of an electric field suitable for demulsification of the waste oil emulsion;
generating a frequency chaotic high-voltage pulse electric field with constant amplitude and equal pulse width;
and (3) applying a frequency chaotic high-voltage pulse electric field to the waste oil emulsion to perform demulsification and dehydration.
Furthermore, the fixed-amplitude equal-pulse-width frequency chaotic high-voltage pulse electric field is realized by regulating and controlling chaotic pulse frequency, and the frequency in the frequency chaos comprises the resonance frequency of the emulsified liquid drops.
Furthermore, the generation of the constant-amplitude constant-pulse-width frequency chaotic high-voltage pulse electric field is realized by constructing a one-dimensional chaotic sequence, modulating the generated chaotic sequence, mapping the chaotic sequence to a low-level period of the pulse electric field through chaotic pulse position modulation, programming and simulating a mapped chaotic signal through a DSP controller, and controlling the on-off of a pulse switch to realize the generation of the chaotic frequency pulse electric field.
Further, the chaotic frequency pulse electric field is realized according to the following formula:
wherein: angular frequency of electric field
E is the magnitude of the electric field intensity,
τ is the pulse width, tiIs the interval between the ith pulse and the (i + 1) th pulse; t is the action time of the electric field; and n is the iteration number.
Further, the pulse interval after mapping by modulation is calculated according to the following formula:
wherein the pulse width is tau and the amplitude is E, so that the pulse interval tnIn [ T ]l,Tu]Internal chaos, TlAt a lower limit, TuIs the upper limit.
Further, a dynamic model of the liquid drops in the oil in the waste oil emulsion in the chaotic frequency pulse electric field is expressed according to the following formula:
wherein,
χ is the drop vibration amplitude; a is an oil resistance constant term; b is an oil-water interfacial tension constant term; g is an electric field excitation force constant term; mu is the viscosity of the oil liquid; gamma is interfacial tensile stress; epsilon0Is a vacuum dielectric constant; epsilon2The relative dielectric constant of the oil is shown; r is the initial radius of the liquid drop; ρ is the droplet density; c (t) is a chaotic frequency pulse electric field signal function;
is a nonlinear function term of oil resistance; f (χ) is a nonlinear function term of oil-water interfacial tension; e (χ) is a nonlinear function term of the excitation force of the electric field.
c (t) is a function of the chaotic frequency pulsed electric field signal,
τ0is a long spherical surface of liquid drops; a is the major axis of the droplet; λ is the drop draw ratio; n isxAs a function of the internal potential of the droplet.
Further, the chaotic pulse position modulation is realized according to the following steps:
constructing a one-dimensional chaotic sequence;
determining a pulse interval range according to the pulse width and the pulse frequency variation range;
and mapping the constructed one-dimensional chaotic sequence into a pulse interval range.
The invention provides a waste oil emulsion chaotic frequency pulsed electric field demulsification system which comprises a waste oil emulsion parameter unit, a demulsification electric field parameter generation unit, a frequency chaotic high-voltage pulsed electric field generator and a control regulator, wherein the waste oil emulsion parameter unit is used for generating a frequency chaotic high-voltage pulsed electric field;
the waste oil emulsion parameter unit is used for acquiring physical parameters of the waste oil emulsion;
the demulsification electric field parameter generating unit is used for calculating to obtain the amplitude and the pulse width of a demulsification electric field suitable for the waste oil emulsion;
the frequency chaotic high-voltage pulse electric field generator is used for generating a frequency chaotic high-voltage pulse electric field with constant amplitude and equal pulse width;
the control regulator is used for controlling the action of the frequency chaotic high-voltage pulse electric field generator on the waste oil emulsion so as to be suitable for acting the frequency chaotic high-voltage pulse electric field on the waste oil emulsion to break emulsion and dehydrate.
Furthermore, the generation of the constant-amplitude constant-pulse-width frequency chaotic high-voltage pulse electric field is realized by constructing a one-dimensional chaotic sequence, modulating the generated chaotic sequence, mapping the chaotic sequence to a low-level period of the pulse electric field through chaotic pulse position modulation, programming and simulating a mapped chaotic signal through a DSP controller, and controlling the on-off of a pulse switch to realize the generation of the chaotic frequency pulse electric field.
Further, the chaotic frequency pulse electric field is realized according to the following formula:
wherein: angular frequency of electric field
E is the magnitude of the electric field intensity,
τ is the pulse width, tiIs the interval between the ith pulse and the (i + 1) th pulse; t is the action time of the electric field; and n is the iteration number.
The invention has the beneficial effects that:
the waste oil emulsion chaotic frequency pulse electric field demulsification method provided by the invention is characterized in that a chaotic frequency electric field with constant amplitude and equal pulse width is applied to demulsify and dehydrate the characteristics of the pulse electric field, so that the defect that the resonance frequency of liquid drops in emulsified oil cannot be covered by a common constant pulse electric field is overcome, the influence on demulsification efficiency caused by uncertain electric field amplitude and pulse width can be avoided by the constant amplitude and equal pulse width, the full coverage of the emulsion liquid drop electric field resonance frequency can be realized by the chaotic and adjustable and controllable pulse rate, the maximum efficiency of electric field demulsification is exerted, and the requirement of efficient demulsification and dehydration in the industrial waste oil recycling process is met.
Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention. The objectives and other advantages of the invention may be realized and attained by the means of the instrumentalities and combinations particularly pointed out hereinafter.
Drawings
In order to make the object, technical scheme and beneficial effect of the invention more clear, the invention provides the following drawings for explanation:
FIG. 1 is a flow chart of a waste oil emulsion chaotic frequency pulsed electric field demulsification method.
FIG. 2 is a schematic diagram of chaos frequency electric field excited liquid drop resonance in oil.
Fig. 3 is a chaotic frequency pulse electric field generating circuit and a signal waveform diagram.
FIG. 4 is a time curve of the variation of the pulse electric field and the angular frequency.
FIG. 5 is a graph of the vibrational response of droplets of different particle sizes.
FIG. 6 shows the vibration response of droplets with different particle sizes under the action of two pulsed electric fields.
Detailed Description
The present invention is further described with reference to the following drawings and specific examples so that those skilled in the art can better understand the present invention and can practice the present invention, but the examples are not intended to limit the present invention.
Example 1
As shown in fig. 1, fig. 1 is a schematic diagram of resonance of droplets in oil excited by a chaotic frequency electric field, and the chaotic frequency pulsed electric field demulsification method for waste oil emulsion provided by the embodiment has the following basic ideas:
constructing a chaotic sequence and modulating a pulse electric field chaotic frequency signal; the chaotic signal after mapping is simulated by programming through a DSP controller of the high-voltage chaotic pulse power supply, and the on-off of a pulse switch is controlled to realize the generation of a chaotic frequency pulse electric field;
the waste oil emulsion is subjected to demulsification and dehydration by applying a chaotic pulse electric field with regulated and controlled frequency, and a high-voltage pulse electric field with fixed amplitude, equal pulse width and chaotic frequency is applied, so that liquid drops in the waste oil can be fully stretched and deformed without cracking, and can resonate near respective resonant frequency, thereby realizing efficient coalescence and demulsification.
The high-voltage chaotic pulse power supply is used for regulation, the output voltage of the power supply is controlled to regulate the amplitude of a load pulse electric field, the on-time of a power supply pulse switch is controlled to realize the regulation of pulse width, and the off-time of the power supply pulse switch is controlled to realize the chaos of pulse frequency.
Meanwhile, in the embodiment, the amplitude and the pulse width of the electric field applied to different waste oil emulsions are different, physical parameters of the waste oil emulsions need to be detected first, then the optimal amplitude and pulse width of the electric field are obtained through numerical calculation, and finally the power supply parameters are set to perform chaotic electric field demulsification.
The method for calculating the optimal pulse width and the optimal amplitude provided by the embodiment comprises the following steps:
1. constructing an MATLAB/Simulink mathematical model according to the emulsion droplet chaotic vibration dynamics model;
2. modifying electric field parameters, and calculating the vibration amplitude change condition of the emulsified liquid drops under the conditions of different pulse widths and electric field amplitudes;
3. and obtaining the maximum electric field intensity under the condition that the liquid drops are not broken as the optimal electric field amplitude, and obtaining the minimum pulse width when the liquid drops deform to the maximum under the condition of the optimal electric field amplitude as the optimal pulse width.
The fixed amplitude value, namely the fixed optimal electric field amplitude value is used, so that the problems that the liquid drop cannot reach the ideal deformation amount due to the over-small electric field amplitude value (namely, the output energy is smaller) and the liquid drop is deformed excessively and is broken due to the over-large amplitude value are solved; equal pulse width, namely equal optimal pulse width is adopted, so that the phenomenon that the demulsification effect of an electric field is weakened due to insufficient stretching deformation of liquid drops caused by too narrow pulse width is prevented; the frequency is chaotic, and the chaotic pulse frequency is regulated and controlled to completely cover the resonance frequency of the emulsified liquid drops and exert the maximum efficiency of a pulse electric field.
The waste oil emulsion chaotic frequency pulse electric field demulsification method provided by the embodiment specifically comprises the following steps:
chaotic frequency pulse electric field action form: the chaotic sequence is introduced into the pulse interval of an electric field through chaotic position modulation, so that the duty ratio of the electric field is chaotic, and the frequency chaos is realized, and the specific realization method comprises the following steps:
and constructing a one-dimensional chaotic sequence by using logistic full mapping, and modulating the generated chaotic sequence in a certain range so as to map the chaotic sequence into a required range.
Constructing a one-dimensional chaotic sequence, wherein the iterative formula of the one-dimensional logistic full mapping is as follows:
selecting an initial value a1，a1∈[-1,1]After n iterations, the one-dimensional chaotic sequence that can be obtained is:
(a1,a2,a3,…an)；
a1is the initial value of the chaotic sequence; a isnIs the chaos value after the nth iteration, and n is the iteration number.
And chaotic pulse position modulation, namely mapping a one-dimensional chaotic sequence constructed by logistic full mapping to a low-level period of a pulse electric field, programming and simulating a mapped chaotic signal through a DSP controller, and controlling the on-off of a pulse switch to realize the generation of a chaotic frequency pulse electric field.
As shown in fig. 2 and 3, fig. 2 is a schematic diagram of a chaotic frequency electric field exciting resonance of liquid droplets in oil, fig. 3 is a chaotic frequency pulsed electric field generating circuit and a signal waveform diagram, and the chaotic frequency pulsed electric field generating circuit provided by the embodiment includes a DSP controller, a triode, a capacitor and a resistor; the output end of the DSP controller is connected with the base electrode of the triode, the emitter electrode of the triode is connected with the grounding end in parallel with the capacitor and the resistor, and the space between the collector electrode of the triode and the grounding end is used as the output end of the chaotic frequency pulse electric field.
In the figure, E is the output voltage of a high-voltage direct-current power supply, a parallel capacitor and a resistor are an equivalent load model of waste oil emulsion, a triode is used as a pulse switch, a collector of the triode is connected with the direct-current power supply, an emitter of the triode is connected with a load end (the parallel capacitor and the resistor), a base of the triode is connected with a DSP controller, the on-off frequency of the triode is controlled through the controller, and a high-voltage pulse electric field with constant amplitude, equal pulse width and chaotic frequency is provided for the load end.
As can be seen from the waveform diagram of the pulse signal shown in FIG. 3, all the pulses have a width τ and an amplitude E, and are spaced apart by a pulse interval tnIn [ T ]l,Tu]Internal chaos, wherein TlAt a lower limit, TuFor the upper limit, the pulse interval after mapping by modulation is:
the chaotic frequency pulsed electric field can be expressed as:
in the formula: angular frequency of electric field
E is the amplitude of the electric field intensity, τ is the pulse width, tiIs the interval between the ith pulse and the (i + 1) th pulse; t is the electric field application time.
A liquid drop chaotic electric field vibration dynamics model:
the dynamic model expression of the liquid drop in the oil in the chaotic frequency pulse electric field is as follows:
in the formula:
χ is the drop vibration amplitude; a is an oil resistance constant term; b is an oil-water interfacial tension constant term; g is an electric field excitation force constant term; mu is the viscosity of the oil liquid; gamma is interfacial tensile stress; epsilon0Is a vacuum dielectric constant; epsilon2The relative dielectric constant of the oil is shown; r is the initial radius of the liquid drop; ρ is the droplet density; c (t) is a chaotic frequency pulse electric field signal function;
is a nonlinear function term of oil resistance; f (χ) is a nonlinear function term of oil-water interfacial tension; e (χ) is a nonlinear function term of the excitation force of the electric field.
c (t) is a chaos generation signal,
τ0is a long spherical surface of liquid drops; a is the major axis of the droplet; λ is the drop draw ratio; n isxAs a function of the internal potential of the droplet.
The example analysis provided in this example is as follows:
is arranged in emulsified oil with radius of 0.2 × 10-3m、0.4×10-3m、0.6×10-3m、0.8×10-3m, four groups of liquid drops, the density of each group is rho 103kg·m-3The viscosity of the oil is 47.2 × 10%-3Pa · s, relative dielectric constant of ε25, oil-water interfacial tension γ 5 × 10-3N·m-1The intensity of the applied chaotic pulse is E ═ 3 × 105V·m-1。
Setting an initial chaos value a10.2, the upper limit of the pulse interval is Tu0.03s, with a lower limit of the pulse interval of TlThe chaotic pulse electric field width is 0.01 s.
As shown in fig. 4, fig. 4 is a time curve of the chaotic pulse electric field and the angular frequency variation; the amplitudes of the chaotic frequency pulse electric fields are all E-3 multiplied by 105V·m-1The pulse width is tau-0.01 s, and the pulse interval is chaotically distributed between 0.001s and 0.03s, so that the electric field is generatedEach pulse period is never repeated, the pulse frequency is chaotic, and the frequency range is controlled to be 150rad & s-1To 600rad · s-1In the meantime. Namely, the amplitude of the electric field applied to the emulsified oil droplets is 3 multiplied by 105V·m-1Pulse width of 0.01s and frequency of 150rad · s-1To 600rad · s-1High-voltage pulse electric fields which are distributed in a chaotic way.
As shown in fig. 5, fig. 5 is a graph showing the vibration response results of the obtained droplets with different particle sizes; under the action of the chaotic frequency pulse electric field, 4 groups of liquid drops with different particle diameters generate unsteady vibration response within 1s, because the pulse frequency of the electric field applied to each liquid drop at the same moment is the same, when resonance does not occur, the vibration deformation trends of the liquid drops with different particle diameters under the action of the chaotic electric field are basically consistent, and at a certain moment, part of the liquid drops can generate violent amplitude fluctuation to generate larger deformation amount, and the larger the particle diameter of the liquid drop is, the more violent amplitude fluctuation is, and the larger the vibration deformation is.
As shown in FIG. 6, FIG. 6 shows the vibration response of droplets with different particle diameters under two pulsed electric fields, under the same electric field amplitude and the same pulse width, i.e., E ═ 3X 105V·m-1And tau is 0.01s, and the vibration response results of the liquid drops with different particle diameters under the conditions of periodic pulse and chaotic pulse are compared and analyzed, so that the frequency of the electric field exciting force applied to the liquid drops is consistent under the action of a periodic pulse electric field, the liquid drops generate steady harmonic vibration, the vibration frequency and the phase of each liquid drop are kept consistent, the amplitude is unchanged, and the rule that the amplitude of the liquid drops is increased along with the increase of the particle diameters exists. Compared with a periodic pulse electric field, the vibration of the liquid drop in the chaotic pulse electric field is unstable, the amplitude of the liquid drop under the action of each electric field frequency is different, and even double the amplitude of the periodic pulse can be generated at a certain moment, so that the chaotic pulse electric field can more easily cause the liquid drop to generate larger stretching deformation, thereby reducing the strength of an oil-water interface film, causing the liquid drop to generate oscillation coalescence, and being more beneficial to efficient coalescence demulsification of waste oil emulsion.
The method aims at the characteristics of demulsification and dehydration of the pulse electric field, and overcomes the defect that the common constant pulse electric field cannot cover the resonance frequency of liquid drops in emulsified oil by applying the method of the chaotic frequency electric field with constant amplitude and equal pulse width. The fixed amplitude value and the equal pulse width can avoid the influence on the emulsion breaking efficiency due to the uncertainty of the amplitude value and the pulse width of the electric field, the pulse rate is chaotic and adjustable and controllable, the full coverage of the electric field resonance frequency of the emulsion droplet can be realized, the maximum efficiency of the electric field emulsion breaking can be exerted, and the requirement of the high-efficiency emulsion breaking and dehydration in the industrial waste oil recycling process can be met.
Example 2
The embodiment provides a waste oil emulsion chaotic frequency pulsed electric field demulsification system which comprises a waste oil emulsion parameter unit, a demulsification electric field parameter generation unit, a frequency chaotic high-voltage pulsed electric field generator and a control regulator, wherein the waste oil emulsion parameter unit is connected with the demulsification electric field parameter generation unit;
the waste oil emulsion parameter unit is used for acquiring physical parameters of the waste oil emulsion;
the demulsification electric field parameter generating unit is used for calculating to obtain the amplitude and the pulse width of a demulsification electric field suitable for the waste oil emulsion;
the frequency chaotic high-voltage pulse electric field generator is used for generating a frequency chaotic high-voltage pulse electric field with constant amplitude and equal pulse width;
the control regulator is used for controlling the action of the frequency chaotic high-voltage pulse electric field generator on the waste oil emulsion so as to be suitable for acting the frequency chaotic high-voltage pulse electric field on the waste oil emulsion to break emulsion and dehydrate.
The frequency chaotic high-voltage pulse electric field with constant amplitude and equal pulse width is generated by constructing a one-dimensional chaotic sequence, modulating the generated chaotic sequence, mapping the chaotic sequence to a low-level period of the pulse electric field through chaotic pulse position modulation, programming and simulating a mapped chaotic signal through a DSP controller, and controlling the on-off of a pulse switch to realize the generation of the chaotic frequency pulse electric field.
The chaotic frequency pulse electric field is realized according to the following formula:
wherein: angular frequency of electric field
E is the magnitude of the electric field intensity,
τ is the pulse width, tiIs the interval between the ith pulse and the (i + 1) th pulse; t is the action time of the electric field; and n is the iteration number.
The above-mentioned embodiments are merely preferred embodiments for fully illustrating the present invention, and the scope of the present invention is not limited thereto. The equivalent substitution or change made by the technical personnel in the technical field on the basis of the invention is all within the protection scope of the invention. The protection scope of the invention is subject to the claims.
Claims (8)
1. A waste oil emulsion chaotic frequency pulse electric field demulsification method is characterized by comprising the following steps: the method comprises the following steps:
obtaining physical parameters of the waste oil emulsion;
calculating to obtain the amplitude and the pulse width of an electric field suitable for demulsification of the waste oil emulsion;
generating a frequency chaotic high-voltage pulse electric field with constant amplitude and equal pulse width;
applying a frequency chaotic high-voltage pulse electric field to the waste oil emulsion to perform demulsification and dehydration;
the calculation method of the electric field amplitude and the pulse width is as follows:
constructing an MATLAB/Simulink mathematical model according to the emulsion droplet chaotic vibration dynamics model;
modifying electric field parameters, and calculating the vibration amplitude change condition of the emulsified liquid drops under the conditions of different pulse widths and electric field amplitudes;
obtaining the maximum electric field strength under the condition that the liquid drops are not broken as the optimal electric field amplitude, and taking the minimum pulse width when the liquid drops deform to the maximum under the condition of the optimal electric field amplitude as the optimal electric field pulse width;
the frequency chaotic high-voltage pulse electric field with constant amplitude and equal pulse width is generated by constructing a one-dimensional chaotic sequence, modulating the generated chaotic sequence, mapping the chaotic sequence to a low-level period of the pulse electric field through chaotic pulse position modulation, programming and simulating a mapped chaotic signal through a DSP controller, and controlling the on-off of a pulse switch to realize the generation of the chaotic frequency pulse electric field.
2. The demulsification method of waste oil emulsion by using chaotic frequency pulse electric field as claimed in claim 1, characterized in that: the fixed-amplitude equal-pulse-width frequency chaotic high-voltage pulse electric field is realized by regulating and controlling chaotic pulse frequency, and the frequency in the frequency chaos comprises the resonant frequency of emulsified liquid drops.
3. The demulsification method of waste oil emulsion by using chaotic frequency pulse electric field as claimed in claim 1, characterized in that: the frequency chaotic pulse electric field is realized according to the following formula:
wherein: angular frequency of electric field
E is the magnitude of the electric field intensity,
τ is the pulse width, tiIs the interval between the ith pulse and the (i + 1) th pulse; t is the action time of the electric field; and n is the iteration number.
4. The demulsification method of waste oil emulsion by using chaotic frequency pulse electric field as claimed in claim 1, characterized in that: the action of the chaotic frequency pulse electric field on the liquid drops in the oil in the waste oil emulsion is calculated according to the following dynamic model formula:
wherein,
χ is the drop vibration amplitude; a is an oil resistance constant term; b is an oil-water interfacial tension constant term; g is an electric field excitation force constant term; mu is the viscosity of the oil liquid; gamma is interfacial tensile stress; epsilon0Is a vacuum dielectric constant; epsilon2The relative dielectric constant of the oil is shown; r is the initial radius of the liquid drop; ρ is the droplet density; c (t) is a chaotic frequency pulse electric field signal function;
is a nonlinear function term of oil resistance; f (χ) is a nonlinear function term of oil-water interfacial tension; e (χ) is a nonlinear function term of the excitation force of the electric field;
τ0＝[1-(1+χ)-3]-1/2；
c (t) is a function of the chaotic frequency pulsed electric field signal,
τ0is a long spherical surface of liquid drops; a is the major axis of the droplet; λ is the drop draw ratio; n isxAs a function of the internal potential of the droplet.
5. The demulsification method of waste oil emulsion by using chaotic frequency pulse electric field as claimed in claim 2, characterized in that: the chaotic pulse position modulation is realized according to the following steps:
constructing a one-dimensional chaotic sequence;
determining a pulse interval range according to the pulse width and the pulse frequency variation range;
and mapping the constructed one-dimensional chaotic sequence into a pulse interval range.
6. The demulsification method of waste oil emulsion by using chaotic frequency pulse electric field as claimed in claim 5, wherein: the pulse interval for modulation mapping is calculated according to the following formula:
wherein the pulse width is tau and the amplitude is E, so that the pulse interval tnIn [ T ]l,Tu]Internal chaos, TlAt a lower limit, TuIs the upper limit.
7. The utility model provides a chaotic frequency pulsed electric field breakdown of emulsion system of waste oil emulsion which characterized in that: the device comprises a waste oil emulsion parameter unit, a demulsification electric field parameter generating unit, a frequency chaotic high-voltage pulse electric field generator and a control regulator;
the waste oil emulsion parameter unit is used for acquiring physical parameters of the waste oil emulsion;
the demulsification electric field parameter generating unit is used for calculating to obtain the amplitude and the pulse width of a demulsification electric field suitable for the waste oil emulsion;
the frequency chaotic high-voltage pulse electric field generator is used for generating a frequency chaotic high-voltage pulse electric field with constant amplitude and equal pulse width;
the control regulator is used for controlling the action of the frequency chaotic high-voltage pulse electric field generator on the waste oil emulsion so as to be suitable for acting the frequency chaotic high-voltage pulse electric field on the waste oil emulsion to perform demulsification and dehydration;
the calculation method of the electric field amplitude and the pulse width is as follows:
constructing an MATLAB/Simulink mathematical model according to the emulsion droplet chaotic vibration dynamics model;
modifying electric field parameters, and calculating the vibration amplitude change condition of the emulsified liquid drops under the conditions of different pulse widths and electric field amplitudes;
obtaining the maximum electric field strength under the condition that the liquid drops are not broken as the optimal electric field amplitude, and taking the minimum pulse width when the liquid drops deform to the maximum under the condition of the optimal electric field amplitude as the optimal electric field pulse width;
the frequency chaotic high-voltage pulse electric field with constant amplitude and equal pulse width is generated by constructing a one-dimensional chaotic sequence, modulating the generated chaotic sequence, mapping the chaotic sequence to a low-level period of the pulse electric field through chaotic pulse position modulation, programming and simulating a mapped chaotic signal through a DSP controller, and controlling the on-off of a pulse switch to realize the generation of the chaotic frequency pulse electric field.
8. The demulsification system of waste oil emulsion by using chaotic frequency pulse electric field as claimed in claim 7, wherein: the chaotic frequency pulse electric field is realized according to the following formula:
wherein: angular frequency of electric field
E is the magnitude of the electric field intensity,
τ is the pulse width, tiIs the interval between the ith pulse and the (i + 1) th pulse; t is the action time of the electric field; and n is the iteration number.
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