Bubble volume measurement method based on Delaunay triangulation

A technology of triangulation and measurement method, which is applied in the field of chemical industry, can solve problems such as error, inability to accurately reflect the number of three-dimensional space, size characteristics, and base plane projection method cannot be accurately solved, and achieve the effect of accurate measurement and high precision

Active Publication Date: 2019-05-28
CHINA UNIV OF PETROLEUM (BEIJING)
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Problems solved by technology

However, the data obtained by the two-dimensional method is one-sided and random, and the two-dimensional section of the bubble cannot accurately reflect the number and size characteristics in

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  • Bubble volume measurement method based on Delaunay triangulation
  • Bubble volume measurement method based on Delaunay triangulation
  • Bubble volume measurement method based on Delaunay triangulation

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Embodiment Construction

[0046] The present invention will be described in detail below in conjunction with the accompanying drawings and embodiments.

[0047] Such as figure 1 Shown, the present invention provides a kind of bubble volume measurement method based on Delaunay triangulation, and it comprises the following steps:

[0048] 1) Obtain the point coordinates a(x, y, z) of a single bubble in the gas-solid bubbling bed at a certain moment and the number N of the bubble to form a data point cloud A of size n for a single bubble (such as figure 2 shown),

[0049] A={a i (x i ,y i ,z i )|i=1,2,…,n} (1)

[0050] In the formula, a i (x i ,y i ,z i ) is the i-th data point in the data point cloud A;

[0051] 2) Calculate the Euclidean distance between any two points in the data point cloud A to obtain the total Euclidean distance matrix M. The specific process is as follows:

[0052] 2.1) Calculate and calculate the i-th data point a in the data point cloud A i Euclidean distance with o...

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Abstract

The invention discloses a bubble volume measurement method based on Delaunay triangulation. The bubble volume measurement method is characterized by comprising the steps that 1) a point coordinate a (x,y,z) on a single bubble in a gas-solid bubble bed at a certain moment is obtained to form a data point cloud A, of which the scale is n, of the single bubble; 2) the Euclidean distance of any two points in the data point cloud A is calculated to obtain a total Euclidean distance matrix M; 3) normal vectors of all the data points in the data point cloud A are obtained; 4) Delaunay triangulation is carried out on the data point cloud A to obtain a tetrahedral set Ttra containing subdivision results; 5) positive directions of the normal vectors of all the data points in the data point cloud A are determined; 6) an in-vitro tetrahedron in the tetrahedral set Ttra is removed to obtain the bubble volume.

Description

technical field [0001] The present invention relates to a method for measuring the volume of three-dimensional bubbles based on Delaunay triangulation, in particular to a method for measuring the volume of three-dimensional bubbles in gas-solid bubbling beds in experiments, industries and flow field simulations based on Delaunay algorithm , belonging to the field of chemical industry. Background technique [0002] Studies have shown that the characteristics of bubbles are important parameters in gas-solid bubbling beds. Bubbles change the flow state of the gas itself through the particle bed, and at the same time induce specific motion patterns of surrounding particles. In the gas-solid bubbling bed, the existence of bubbles causes the rapid and sufficient mixing of the materials in the bed, and at the same time enhances the contact efficiency between gas and solid, providing good mass and heat transfer conditions. The change of the bubble size parameter has a decisive impa...

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Application Information

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IPC IPC(8): G01B21/00
Inventor 蓝兴英石孝刚张梦轩高金森李成祥姜源吴迎亚
Owner CHINA UNIV OF PETROLEUM (BEIJING)
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