CN109063236B - Method for calculating diffusion angle of air conditioner air supply outlet by applying fractal dimension - Google Patents
Method for calculating diffusion angle of air conditioner air supply outlet by applying fractal dimension Download PDFInfo
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Abstract
The invention discloses a method for calculating a diffusion angle of an air-conditioning air supply outlet by applying fractal dimension, which comprises the following steps: obtaining speed data, calculating fractal dimension and calculating diffusion angle of air conditioner air supply outlet. The invention obtains the fractal dimension of the speed signal by measuring the instantaneous speed time sequence data of the air conditioner air supply outlet and calculating the measured instantaneous speed time sequence data, and further obtains the diffusion angle of the air conditioner air supply outlet by calculating the fractal dimension of the speed signal. Compared with the diffusion angle of the air conditioner air supply outlet obtained by the current measurement, the diffusion angle of the air conditioner air supply outlet obtained by the invention has higher accuracy, and meanwhile, the measurement error in the measurement process is directly avoided. Compared with the current measuring method, the invention is more convenient for the user to operate, and simultaneously, the diffusion angle of the air supply outlet of the air conditioner can be more visually displayed.
Description
Technical Field
The invention belongs to the technical field of air conditioners, and particularly relates to a method for calculating a diffusion angle of an air conditioner air supply outlet by applying fractal dimension.
Background
In the design of an air conditioner, the calculation of airflow organization is an important link, the mixing degree, the jet flow direction, the jet flow section shape and the like of air supply jet flow are influenced by the shape, the size and the installation position of an air supply outlet, so that the air supply outlet plays an important role in an air conditioning ventilation system, and the jet flow pattern and the movement rule of the air supply outlets in different shapes are different.
The diffusion angle of the air supply outlet is one of the structural characteristics, and the diffusion angle is measured by experiments at present, so that the conclusion of the diffusion angle measured by each country is very different, and certain difficulty is caused to the engineering.
Disclosure of Invention
The invention is provided for solving the problems in the prior art, and aims to provide a method for calculating the diffusion angle of an air conditioner air supply outlet by applying fractal dimension.
The technical scheme of the invention is as follows:
a method for calculating the diffusion angle of an air conditioner air supply outlet by applying fractal dimension is characterized in that: the method comprises the following steps:
obtaining velocity data
And acquiring the speed data of the section of the air outlet of the air conditioner.
Ii, calculating fractal dimension
Calculating the fractal dimension of the velocity signal by using a box dimension method according to the velocity data obtained in the step (i), wherein the formula is as follows:
wherein N (r) refers to the minimum number of N-dimensional boxes with the side length r required for covering the air outlet of the air conditioner;
d refers to the fractal dimension of the measured object.
Iii, calculating the diffusion angle of the air conditioner air supply outlet
And calculating the diffusion angle of the air conditioner air supply outlet according to a formula, wherein the formula is as follows:
wherein theta refers to the diffusion angle of the air conditioner air supply outlet;
k denotes the experimental coefficient;
d denotes the fractal dimension of the object under test.
And the experiment coefficient K in the step iii comprises a circular section coefficient and a strip seam section coefficient.
The value of the circular section coefficient is 3.4.
The value of the section coefficient of the strip seam is 2.44.
The velocity data in step i is instantaneous velocity time series data.
The speed data is obtained through a speed measuring device arranged at an air supply port of the air conditioner.
The speed measuring device is one of a velocimeter and a speed measuring sensor.
The invention obtains the fractal dimension of the speed signal by measuring the instantaneous speed time sequence data of the air conditioner air supply outlet and calculating the measured instantaneous speed time sequence data, and further obtains the diffusion angle of the air conditioner air supply outlet by calculating the fractal dimension of the speed signal.
Compared with the diffusion angle of the air conditioner air supply outlet obtained by the current measurement, the diffusion angle of the air conditioner air supply outlet obtained by the invention has higher accuracy, and meanwhile, the measurement error in the measurement process is directly avoided.
Compared with the current measuring method, the method is more convenient for a user to operate, and meanwhile, the diffusion angle of the air inlet of the air conditioner can be displayed more visually.
Drawings
FIG. 1 is a flow chart of the method of the present invention;
FIG. 2 is a graph of data measured by a velocimeter according to a first embodiment of the present invention;
FIG. 3 is a data diagram of fractal dimension of the object under test according to one embodiment of the present invention;
FIG. 4 is a graph of data measured by a velocimeter according to a second embodiment of the present invention;
fig. 5 is a data diagram of the fractal dimension of the object to be measured in the second embodiment of the present invention.
Detailed Description
The present invention is described in detail below with reference to the accompanying drawings and examples:
as shown in fig. 1, a method for calculating a diffusion angle of an air conditioner air outlet by applying a fractal dimension includes the following steps:
obtaining velocity data
And acquiring speed data of the section of the air outlet of the air conditioner.
Ii, calculating fractal dimension
Calculating the fractal dimension of the velocity signal by using a box dimension method according to the velocity data obtained in the step (i), wherein the formula is as follows:
wherein N (r) refers to the minimum number of N-dimensional boxes with the side length r required for covering the air outlet of the air conditioner;
d denotes the fractal dimension of the object under test.
Iii, calculating the diffusion angle of the air conditioner air supply outlet
And calculating the diffusion angle of the air conditioner air supply outlet according to a formula, wherein the formula is as follows:
wherein theta refers to the diffusion angle of the air conditioner air supply outlet;
k denotes the experimental coefficient;
d denotes the fractal dimension of the object under test.
And the experiment coefficient K in the step iii comprises a circular section coefficient and a strip seam section coefficient.
The value of the circular section coefficient is 3.4.
The value of the section coefficient of the strip seam is 2.44.
The velocity data in step i is instantaneous velocity time series data.
The speed data is obtained through a speed measuring device arranged at an air supply opening of the air conditioner.
The speed measuring device is one of a speed meter and a speed measuring sensor.
Example one
Take the cross section of the air outlet as a slit
Obtaining velocity data
Acquiring speed data at the section of an air outlet of the air conditioner, wherein the speed data is time series speed data in a period T, and the data measured by a velocimeter is shown in figure 2:
ii, calculating fractal dimension
Calculating the fractal dimension of the velocity signal by using a box dimension method according to the velocity data obtained in the step (i), wherein the formula is as follows:
wherein N (r) refers to the minimum number of N-dimensional boxes with the side length r required for covering the air outlet of the air conditioner;
d refers to the fractal dimension of the object to be measured,
calculated D =1.6902, as in fig. 3:
iii, calculating the diffusion angle of the air conditioner air supply outlet
And calculating the diffusion angle of the air conditioner air supply outlet according to a formula, wherein the formula is as follows:
wherein, theta refers to the diffusion angle of the air supply outlet of the air conditioner;
k refers to an experimental coefficient, and the value of the section coefficient of the strip seam is 2.44;
d denotes the fractal dimension of the object under test.
Calculated to give θ =27 °
Example two
Take the cross-section of the air outlet as a round cross-section
Obtaining velocity data
The method comprises the steps of obtaining speed data of a section of an air outlet of the air conditioner, wherein the speed data are time series speed data in a period T, and data measured through a velometer are shown in a figure 4:
ii, calculating fractal dimension
Calculating the fractal dimension of the velocity signal by using a box dimension method according to the velocity data obtained in the step (i), wherein the formula is as follows:
wherein N (r) refers to the minimum number of N-dimensional boxes with the side length r required for covering the air outlet of the air conditioner;
d refers to the fractal dimension of the object to be measured,
calculated D =1.6780, as in fig. 5:
iii, calculating the diffusion angle of the air conditioner air supply outlet
And calculating the diffusion angle of the air conditioner air supply outlet according to a formula, wherein the formula is as follows:
wherein, theta refers to the diffusion angle of the air supply outlet of the air conditioner;
k refers to an experimental coefficient, and the value of the circular section coefficient is 3.4;
d denotes the fractal dimension of the object under test.
Calculated to result in θ =34.9 °
The invention obtains the fractal dimension of the speed signal by measuring the instantaneous speed time sequence data of the air conditioner air supply outlet and calculating the measured instantaneous speed time sequence data, and further obtains the diffusion angle of the air conditioner air supply outlet by calculating the fractal dimension of the speed signal.
Compared with the diffusion angle of the air conditioner air supply outlet obtained by the current measurement, the diffusion angle of the air conditioner air supply outlet obtained by the invention has higher accuracy, and meanwhile, the measurement error in the measurement process is directly avoided.
Compared with the current measuring method, the method is more convenient for a user to operate, and meanwhile, the diffusion angle of the air inlet of the air conditioner can be displayed more visually.
Claims (7)
1. A method for calculating the diffusion angle of an air conditioner air supply outlet by applying fractal dimension is characterized in that: the method comprises the following steps:
obtaining velocity data
Acquiring speed data of the section of an air outlet of the air conditioner; the velocity data in the step (i) is instantaneous velocity time series data;
(ii) calculating the fractal dimension
Calculating the fractal dimension of the velocity signal by using a box dimension method according to the velocity data obtained in the step (i), wherein the formula is as follows:
wherein N (r) refers to the minimum number of N-dimensional boxes with the side length r required for covering the air outlet of the air conditioner;
d refers to the fractal dimension of the object to be measured;
(iii) calculating the diffusion angle of the air-conditioning air supply outlet
And calculating the diffusion angle of the air conditioner air supply outlet according to a formula, wherein the formula is as follows:
θ＝arctan K(0.4827D-0.6045)
wherein theta refers to the diffusion angle of the air conditioner air supply outlet;
k denotes the experimental coefficient;
d denotes the fractal dimension of the object under test.
2. The method for calculating the diffusion angle of the air conditioner air supply outlet by applying the fractal dimension as claimed in claim 1, wherein the method comprises the following steps: the experiment coefficient K in the step (iii) comprises a circular section coefficient and a strip seam section coefficient.
3. The method for calculating the diffusion angle of the air conditioner air supply outlet by applying the fractal dimension as claimed in claim 2, wherein the method comprises the following steps: the value of the circular section coefficient is 3.4.
4. The method for calculating the diffusion angle of the air conditioner air supply outlet by applying the fractal dimension as claimed in claim 2, wherein the method comprises the following steps: the value of the section coefficient of the strip seam is 2.44.
5. The method for calculating the diffusion angle of the air conditioner air supply outlet by applying the fractal dimension as claimed in claim 1, wherein the method comprises the following steps: the velocity data in step (i) is instantaneous velocity time series data.
6. The method for calculating the diffusion angle of the air conditioner air supply outlet by applying the fractal dimension as claimed in claim 1, wherein the method comprises the following steps: the speed data is obtained through a speed measuring device arranged at an air supply port of the air conditioner.
7. The method for calculating the diffusion angle of the air conditioner air supply outlet by applying the fractal dimension as claimed in claim 6, wherein the method comprises the following steps: the speed measuring device is one of a speed meter and a speed measuring sensor.
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