This standard specifies the method for graphical representation of particle size analysis results. This standard applies to the graphical representation of the cumulative distribution and density distribution of solid particles, liquid droplets or bubbles of any particle size. GB/T 15445-1995 Graphical representation of particle size analysis results GB/T15445-1995 Standard download decompression password: www.bzxz.net
This standard specifies the method for graphical representation of particle size analysis results. This standard applies to the graphical representation of the cumulative distribution and density distribution of solid particles, liquid droplets or bubbles of any particle size.

National Standard of the People's Republic of China
Graphical representation or results of particle size analysis
GB/T 15445—1995
This standard adopts the international standard IS09276-1:1990 "Representation of particle size analysis results - Part 1: Graphical representation". 1 Subject content and scope of application
This standard specifies the method of graphical representation of particle size analysis results. This standard is applicable to the graphical representation of the cumulative distribution and density distribution of solid particles, droplets or bubbles in any size range. 2 Terms and symbols
2.1 Terms
2.1.1 Particle size
The size and coarseness of granular materials are generally expressed in equivalent diameters. 2.1.2 Equivalent dianeter The diameter of a sphere that has the same geometric or physical properties as the particle in some respects. 2.1.3 Equivalent projected area diameter The diameter of a circle with the same projected area as the particle. 2.1.4 Equivalent surface diameter The diameter of a sphere with the same surface area as the particle. 2.1.5 Equivalent volume diameter The diameter of a sphere with the same volume as the particle.
2.1.6 Equivalent Stokes diameter The diameter of a homogeneous sphere with the same free settling velocity as the particle in the same fluid during laminar flow. 2.1.7 Sieve diameter The minimum sieve size through which a particle passes.
2.1. B Feret's diameter The distance between the parallel lines tangent to the two sides of the particle's projected contour. 2.1.9 Martin's diameter The length of the chord that divides the particle's projected contour into two equal parts. 2.1.10 Particle size distribution The percentage of particles of different size grades in the material. 2.1.11 Cumulative distribution (cumulative percentage) The percentage of particles smaller than a certain size in the material. 2.1.12 Density distribution The ratio of the relative cumulative percentage of a fraction to the particle size distribution of the fraction. Approved by the State Administration of Technical Supervision on January 10, 1995 and implemented on October 1, 1995
GB/T15445-1995
2.1.13 Number distribution Number distribution Particle size distribution based on the number of particles. 2.1.14 Length distribution Length distribution Particle size distribution based on the length of the particle. 2.1,15 Area distribution Surface ur projected area distribution Particle size distribution based on the surface area or projected area of ​​the particle. 2. 1.16 Volume distribution Volume distribution Particle size distribution based on the volume of the particle. 2.1.17 Mass distribution Particle size distribution based on the mass of the particles. 2.2 Symbols The symbols used in this standard are listed in Table 1. Geometric ratio Number of fractions Number of fractions Digital density distribution Length density distribution Surface area or projected area density distribution Volume or mass density distribution General symbols for density distribution Average sieve size of one fraction Average density distribution expressed in semi-logarithmic coordinates Number of cumulative distributions Length Cumulative distribution Cumulative distribution of area Cumulative distribution of volume or mass Cumulative distribution General symbols for cumulative distribution The difference between two cumulative percentages and the sum of the cumulative percentages Fractional particle size
Average particle size
: Particle size range of a fraction
Sieving diameter
Ferritt diameter
Ma's diameter
Equivalent base projected area diameter
Equivalent surface area diameter
Equivalent residual volume diameter
Equivalent Stokes diameter
3 Forms and types of particle size distribution
3.1 Forms of particle size distribution
There are two forms of particle size distribution:
Cumulative distribution Q
Density distribution
3.2 Types of particle size distribution
CB/T 154451995
There are four main types of particle size distribution, represented by different values ​​of the subscript, : Number distribution
Length distribution
Area distribution
Volume distribution or mass distribution
Various density distributions and cumulative distributions are listed in Table 2. 2
Distribution forms
Types of distribution
Number distribution
Length distribution
Area distribution
Volume or mass distribution
Graphical representation of particle size distribution
Degree distribution (X>
Cumulative score ()
In the graphical representation of particle size distribution, the horizontal axis represents the particle size X, and the vertical axis represents the particle size distribution Q(X) or (X). D
Figure 1 Coordinate system used to represent particle size distribution data There are three basic forms of graphical representation of particle size distribution: histogram, cumulative distribution curve and density distribution curve (Figures 2 to 4). 4.1 Histogram (x..x.+1)
Figure 2 is a standard histogram of density distribution (X). It is composed of a series of rectangular columns, in which the area of ​​each shape represents the relative cumulative percentage AQ(XX). www.bzxz.net
AQ.(X,,X,-) (X.,X+DAX
4.(X.Xi+1) = AQ.(X,,X++)/AX
Sum all △Q. and we get the area under the histogram, which is normalized to 100% or 1 (normalization condition)..(1)
+-*(2)
GB/T 15445—1995
2AQ(X,X-) =
(X,,X+)AX = 100% = 1
x..x..ax-Qr(Xr, Xr-
Figure 2 Histogram of density distribution (x, x+)
4.2 Cumulative distribution curve Q.(X)
Figure 3 is a typical normalized cumulative distribution curve. Each separation point Q,(X) corresponds to the cumulative percentage of particles smaller than a certain equivalent diameter. The normalized cumulative distribution takes values ​​between 0 and . Q =
Ea(XXi+)AX
whereotsn
Figure 3 Cumulative distribution curve
Xma length)
4.3 Density distribution curve 9(X)
GB/T 15445—1995
According to the slow assumption, the cumulative right Q(X) is differentiable, so the continuous density distribution 9(X) can be obtained: g.(x)- dQ.)—1.19x,ar(x,.x,)(9)
Sieving experimental data and analysis
GB/T15445—1995
Appendix A
Application example of graphical representation of particle size analysis results (reference)
Particle size screening experimental data and analysis results are represented by graphs as shown in Table A1 and Figure A1, Figure A2, Figure A2 Notes
A2.1 The second column in Table A1 indicates the basic size of the sieve holes selected for screening, which conforms to the basic size of the sieve holes of GB 6005 "Test sieve metal wire woven mesh, and the basic size of the sieve holes of the electroformed thin plate".
A2.2 The third column in Table A1 indicates the amount of particles remaining in the test sieve, and its amount is determined by the actual weighing in the experiment. A2.3 The 4th column in Table A1 is the particle size interval 4X,. Calculated by the following formula: x, = Xm X,
A2.4 Histogram representation
The ordinate of the histogram in the 5th column in Table A1 is calculated by the following formula: 9+(X.,X,.-) = AQ,(X.,X,+/AX. - Its particle size distribution diagram is shown in Figure A1,
A2.5 Mass cumulative distribution
The 6th column Q in Table A1 is calculated according to equation (4). Its particle size distribution diagram is shown in Figure A1. A2.6 Particle size distribution in semi-logarithmic coordinate system. The 7th column in Table A1 is calculated according to equation (8), and its particle size histogram and required mass distribution diagram are shown in Figure A2. Table A1: Calculation of self-weight diagram and cumulative distribution from screening data 1
.2.400
4AQ/AX
GB/T 15445—1995
X(mm)
Figure A1 Histogram 9a(X,X:+) and cumulative mass distribution Q(X)16 on linear coordinate paper
gi(mm-)
GB/T15445—1995
Figure A2 Histogram a(InX;X,11) and cumulative mass distribution Q(InX,) on semi-logarithmic coordinate paper with logarithmic abscissa Additional remarks:
This standard is proposed by the Chinese Academy of Sciences.
This standard is under the jurisdiction of the National Technical Committee for Screen Screening Standardization. This standard was drafted by the Institute of Chemical Metallurgy, Chinese Academy of Sciences and the Institute of Mechanical Standardization, Ministry of Machinery and Electronics. The main drafters of this standard are Wang Song, Shen Tianlin, Huang Changxiong and Qi Ping.
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