CN112345434A - Micro-nano bubble internal pressure calculation method - Google Patents
Micro-nano bubble internal pressure calculation method Download PDFInfo
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- CN112345434A CN112345434A CN202011144104.1A CN202011144104A CN112345434A CN 112345434 A CN112345434 A CN 112345434A CN 202011144104 A CN202011144104 A CN 202011144104A CN 112345434 A CN112345434 A CN 112345434A
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- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume, or surface-area of porous materials
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- G01L—MEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
- G01L9/00—Measuring steady of quasi-steady pressure of fluid or fluent solid material by electric or magnetic pressure-sensitive elements; Transmitting or indicating the displacement of mechanical pressure-sensitive elements, used to measure the steady or quasi-steady pressure of a fluid or fluent solid material, by electric or magnetic means
Abstract
The invention belongs to the field of micro-nano bubble property measurement, and relates to a micro-nano bubble internal pressure calculation method. The method is used for accurately estimating the internal pressure of the micro-nano bubbles. The method is characterized in that a Zeta potentiometer is used for measuring the average Zeta potential of the micro-Nano bubbles, the Nano-Sight NS300 obtains the average particle size of the micro-Nano bubbles, the charge density of the surfaces of the bubbles is calculated through an equation, the surface tension coefficient is calculated by utilizing the relation between the surface charge density and the surface tension coefficient, and the Laplace equation is substituted to calculate the internal pressure of the bubbles. The method breaks through the calculation limitation of the traditional Laplace equation method, avoids errors caused by neglecting the surface charge of the bubbles in the calculation process, makes up for the defect that the pressure inside the micro-nano bubbles is calculated by independently depending on the Laplace equation method, and provides a more complete micro-nano bubble internal pressure calculation method.
Description
Technical Field
The invention belongs to the field of micro-nano bubble property measurement, and relates to a method for calculating the internal pressure of micro-nano bubbles by combining a Zeta and Laplace equation.
Background
The micro-nano bubbles have extremely small particle size and have physical and chemical properties which are not possessed by the conventional bubbles. Because the micro-nano bubbles have extremely small particle sizes, the micro-nano bubbles have the characteristics of large specific surface area, slow rising speed, charged surface and high gas dissolution rate. Because the micro-nano bubbles have the characteristics, the micro-nano bubbles are widely applied to various fields: in the aspect of crop cultivation, water rich in oxygen micro-nano bubbles is used for irrigation, so that dissolved oxygen in the water can be increased, and the growth and development of plant roots are promoted; in the aspect of sewage treatment, water rich in micro-nano bubbles can promote the biological activity of microorganisms, and the micro-nano bubbles have the characteristics of charged surfaces, rich free radicals with strong oxidizing property and the like, so that the decomposition of organic pollutants can be effectively accelerated; in the aspect of cleaning fruits and vegetables, the ozone micro-nano bubbles can effectively sterilize under the condition of maintaining plant types and original qualities. The survival life of the micro-nano bubbles is a key parameter of the application of the micro-nano bubbles, and is also a hot problem of the current research on the micro-nano bubbles, and the research on the life of the micro-nano bubbles cannot be separated from the research on the internal pressure of the micro-nano bubbles.
At present, an effective means for directly measuring the internal pressure of the micro-nano bubbles does not exist, and most researchers estimate the internal pressure of the bubbles according to the existing Laplace equation. According to the classical Laplace equation, the internal pressure of the bubbles with the particle size of 200nm can reach 1.56MPa, the algorithm directly ignores the charges existing on the surfaces of the bubbles, further ignores the effect of the surface charges on the internal pressure of the bubbles, leads to inaccuracy of the calculation result, and cannot make a rational explanation for the long service life of the micro-nano bubbles. Therefore, the internal pressure of the micro-nano bubbles can be more accurately obtained only by considering the combination of the calculation of the internal pressure of the micro-nano bubbles and the surface charge of the nano bubbles, and the method has great significance for the application field and the relevant mechanism explanation of the micro-nano bubbles.
Disclosure of Invention
The invention aims to overcome the problems in the prior art, and develops a method for calculating the internal pressure of the micro-nano bubbles by combining the Zeta potential and Laplace, so as to accurately estimate the internal pressure of the micro-nano bubbles. The Zeta potentiometer is used for measuring the average Zeta potential of the micro-Nano bubbles, the Nano-Sight NS300 obtains the average particle size of the micro-Nano bubbles, the charge density of the surfaces of the bubbles is calculated through an equation, the corresponding surface tension coefficient can be calculated by utilizing the relation between the surface charge density and the surface tension coefficient, and the corresponding surface tension coefficient is substituted into the Laplace equation to calculate the internal pressure of the bubbles. The method breaks through the calculation limitation of the traditional Laplace equation method, avoids errors caused by neglecting the surface charge of the bubbles in the calculation process, makes up for the defect that the pressure inside the micro-nano bubbles is calculated by independently depending on the Laplace equation method, and provides a more complete micro-nano bubble internal pressure calculation method.
The technical scheme of the invention is as follows:
a method for calculating internal pressure of micro-Nano bubbles includes the steps that a Zeta potentiometer obtains average Zeta potential of the micro-Nano bubbles, Nano-Sight NS300 obtains average particle size of the micro-Nano bubbles, then surface charge density of the bubbles is calculated, surface tension coefficients are inquired through the surface charge density, and the internal pressure of the micro-Nano bubbles is accurately solved by substituting Laplace equation.
The method comprises the following specific steps:
the first step is as follows: acquiring the Zeta potential and the grain diameter of the micro-nano bubbles;
injecting the solution containing the micro-nano bubbles into a Marvens electrophoresis tank by using an injector to ensure that no giant bubbles are generated in the injection process, placing the electrolysis tank into a potential tank of a Zeta potentiometer, and selecting appropriate parameters to measure the Zeta potential of the micro-nano bubbles; injecting the solution containing the micro-Nano bubbles into a Nano-Sight NS300 sample pool by using an injector, and measuring to obtain the average particle size of the micro-Nano bubbles;
the second step is that: calculating the surface charge density of the bubbles;
substituting the Zeta potential and the particle size obtained by the last step into a Grahame equation corrected by Debye-shock, and calculating the surface charge density of the bubbles:
sigma is the surface charge density of the micro-nano bubbles, epsilon is the dielectric constant of water, epsilon0Is a dielectric constant of a vacuum, and,
zeta potential, lambda of micro-nano bubblesDIs the Debye length, R is the radius of the micro-nano bubble;
the third step: calculating the surface tension coefficient of water;
substituting the surface charge density obtained in the second step into a fitting formula of the surface charge density and the surface tension coefficient of the micro-nano bubbles:
σ＝Aexp(-Bγ/t)+C
in the formula, A is 0.09864, B is 0.001, C is-0.67769, t is-38.04158, sigma is the surface charge density of the micro-nano bubbles, and gamma is the surface tension coefficient of water;
the fourth step: calculating the internal pressure of the micro-nano bubbles;
substituting the surface tension coefficient obtained in the third step into a Laplace equation to obtain the internal pressure of the micro-nano bubbles:
Pinis the internal pressure of the micro-nano bubbles, PoutIs the ambient pressure, gamma is the surface tension coefficient of water, and R is the radius of the nanobubble.
The invention has the beneficial effects that:
the invention utilizes the combination of the Zeta potential and the Laplace equation to more accurately obtain the internal pressure of the nano bubbles.
The method comprises the steps of obtaining the average Zeta potential of the micro-Nano bubbles by using a Zeta potentiometer, obtaining the average particle size of the micro-Nano bubbles by using a Nano-Sight NS300, effectively calculating the surface charge density of the micro-Nano bubbles, accurately obtaining the change of the surface charge coefficient of water under the action of the surface charge by inquiring the surface charge coefficient of the water under the action of the surface charge, and avoiding the error caused by neglecting the surface charge effect of the micro-Nano bubbles in the internal pressure calculation process. The calculation result shows that the methane nanobubble with the particle diameter of 95nm and the Zeta potential of-14 mV has the internal pressure of 1.3632 MPa; the methane nanobubble with the particle size of 90nm and the Zeta potential of-16 mV has the internal pressure of 1.3667MPa, the accuracy of the calculation result is respectively improved by 18.53 percent and 24.39 percent compared with the conventional Laplace equation, and the accuracy of the calculation of the internal pressure of the bubble is higher as the particle size of the nanobubble is reduced and the Zeta potential is reduced.
Drawings
Fig. 1 is a flow chart of a method for calculating the internal pressure of the micro-nano bubbles.
FIG. 2 is a graph of surface charge density versus surface tension coefficient.
Detailed Description
The following detailed description of the invention refers to the accompanying drawings. The examples are intended to further illustrate the invention, but not to limit it.
Comparative example
In order to quantify the accuracy of the method for calculating the internal pressure of the micro-nano bubbles by combining the Zeta potential and the Laplace equation, the method is compared with a result of singly using the Laplace equation to calculate the internal pressure of the micro-nano bubbles. The comparative examples are neutral aqueous solution with a particle size of 25 ℃, methane micro-nano bubbles, an average Zeta potential of-14 mV, an average particle size of 95 nm:
using the above method to calculate:
using conventional methods to calculate:
as can be seen from the calculation results, the internal pressure of the bubbles is calculated by neglecting the surface charge effect of the micro-nano bubbles, and only the Laplace equation is adopted, so that an error of 18.53% is caused.
Example 1
The method is a method for calculating the internal pressure of the bubbles by combining a Zeta potential and a Laplace equation under the conditions of 25 ℃, a neutral aqueous solution and methane micro-nano bubbles.
The method comprises the following specific steps:
the first step is as follows: acquiring the Zeta potential and the grain diameter of the micro-nano bubbles;
injecting a solution containing methane micro-nano bubbles into a Marvens electrophoresis tank by using an injector to ensure that no giant bubbles are generated in the injection process, placing the electrolysis tank into a potential tank of a Zeta potentiometer, selecting a sample measuring environment as water, and measuring the Zeta potential of the methane micro-nano bubbles; injecting a solution containing methane micro-Nano bubbles into a Nano-Sight NS300 sample pool by using an injector, and measuring to obtain the average particle size of the micro-Nano bubbles; the average Zeta potential of the methane bubbles obtained in the step is-16 mV, and the average grain diameter is 90 nm;
the second step is that: calculating the surface charge density of the bubbles;
substituting the Zeta potential and the particle size obtained by the last step into a Grahame equation corrected by Debye-shock, and calculating the surface charge density of the bubbles:
the liquid environment of the micro-nano bubbles is 100nm of the Debye length of water.
The third step: calculating the surface tension of the water;
according to the surface charge density obtained in the second step, a fitting formula of the surface charge density of the water and the surface tension coefficient is substituted:
the third step: calculating the internal pressure of the micro-nano bubbles;
firstly, inquiring according to the surface charge density of the nano bubbles obtained in the second step to obtain the surface tension coefficient of water, wherein the relation graph of the surface charge density and the surface tension coefficient is shown in an attached figure 2; substituting the surface tension coefficient into a Laplace equation to obtain the internal pressure of the micro-nano bubbles:
example 2
The method is a method for calculating the internal pressure of the bubbles by combining a Zeta potential and a Laplace equation under the conditions of 25 ℃, a neutral aqueous solution and methane micro-nano bubbles.
The specific steps are shown in example 1, and only the calculation results are given here: the average Zeta potential of the methane bubbles obtained by the measurement of the group is-14 mV, and the average grain diameter is 95 nm;
Claims (4)
1. a method for calculating the internal pressure of micro-nano bubbles is characterized by comprising the following steps:
the first step is as follows: acquiring the Zeta potential and the grain diameter of the micro-nano bubbles;
injecting the solution containing the micro-nano bubbles into an electrophoresis tank by using an injector to ensure that no giant bubbles are generated in the injection process, placing an electrolytic cell into a potential tank of a Zeta potentiometer, and measuring the Zeta potential of the micro-nano bubbles; injecting the solution containing the micro-nano bubbles into a sample cell by using an injector, and measuring to obtain the average particle size of the micro-nano bubbles;
the second step is that: calculating the surface charge density of the bubbles;
substituting the Zeta potential and the average particle size obtained by the first step of measurement into a Grahame equation corrected by Debye-shock, and calculating the surface charge density of the bubbles:
sigma is the surface charge density of the micro-nano bubbles, epsilon is the dielectric constant of water, epsilon0Is a dielectric constant of a vacuum, and,
zeta potential, lambda of micro-nano bubblesDIs the Debye length, R is the radius of the micro-nano bubble;
the third step: calculating the surface tension coefficient of water;
substituting the surface charge density of the micro-nano bubbles and a formula of the surface tension coefficient of water according to the surface charge density obtained in the second step:
σ＝Aexp(-Bγ/t)+C
in the formula, A is 0.09864, B is 0.001, C is-0.67769, t is-38.04158, sigma is the surface charge density of the micro-nano bubbles, and gamma is the surface tension coefficient of water;
the fourth step: calculating the internal pressure of the micro-nano bubbles;
substituting the water surface tension coefficient obtained in the third step into a Laplace equation to obtain the internal pressure of the micro-nano bubbles:
Pinis the internal pressure of the micro-nano bubbles, PoutIs the ambient pressure, gamma is the surface tension coefficient of water, and R is the radius of the micro-nano bubbles.
2. The method for calculating the internal pressure of the micro-nano bubble according to claim 1, wherein the first step is to clean or replace the electrophoresis tank before using the electrophoresis tank each time.
3. The method for calculating the internal pressure of the micro-nano bubble according to claim 1, wherein the second step is to calculate the surface charge density of the bubble, and parameters in a formula are selected as follows: the dielectric constant of the water is selected according to the measurement environment, and the liquid environment of the micro-nano bubbles is 100nm of the Debye length of the water.
4. The method for calculating the internal pressure of the micro-Nano bubble according to claim 1, wherein a sample cell for measuring the average particle size of the micro-Nano bubble in the first step is a Nano-Sight NS300 sample cell.
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