Methods for the calculation of Mean Particle size D50 using the Matlab

Curve fitting Technique

Steps:

• We have the results of particle size analyzer in excel sheet having particle size in a column and

other having the abundance in %

• Open new blank M file in matlab where you will write the code

Diameters

abundance

• Write “clear;” then “clc;” to remove the previous variables

• Select a variable “x=[];”

• Copy the column of diameters from excel and paste it in x

• Similarly select a variable y and paste the column of abundance in it i.e. “q”

• Then write “cftool;” then run the function from run key

• select “change folder” and a window of curve fit will appear

Run Key

• Select x matrix in x data and y matrix in y data and select and also select the method of method of curve

fitting and degree of fitting curve so that the new curve must be optimized

• The result part of the window indicate the equation and coefficients of equation we will use this to

calculate the particle size

• Now open another blank m file and generate a variable x with the diameters as done before

• Then copy all the coefficients from the curve fitting window as shown and paste it in the new file

• Then initialize variables as ps=0; product=0; and y=0;

• Then generate a for loop for the number of iteration equal to the data points of matrix x

• In that loop, paste the function as “y= ” as shown in fig with x changes to x(i)

• Multiply y with the same ordinate of x in variable product and add it in a variable of ps as shown then

close the loop

• Out of loop divide the variable ps by 100 and print the variable ps. This will give you the particle size of

material

Data Points Degree of Curve

Method

Equation of Curve

Coefficient of Equation