engineeringmaterials

Rosin Rammler

Freely available under GPL terms only
get a GPL licence
viewed 1977 times and licensed 12 times
www.codecogs.com/d-ox/engineering/materials/rosin_rammler.php
Controller: CodeCogs    Contact Controller

Interface

#include <codecogs/engineering/materials/rosin_rammler.h>

double Rosin_CDF (double Dm, int n, double D)
Rosin-Rammler cumulative distribution

Function Documentation

Add calculator to your site or email
 
doubleRosin_CDFdoubleDm
intn
doubleD )
The Rosin-Rammler distribution is frequently used to describe the particle size distribution of powers of various types and sizes. The function is particularyly suited to representing particles generated by grinding, milling and crushing operations. The conventional Rosin-Rammler function is described by
(1)
\displaystyle R = exp \left [ - \left ( \frac{D}{D_m} \right )^n \right ]
where R is the retained weight fraction of particles with a diameter greater than D, D is the particle size and D_m is the mean particle size, and n is a measure of the spread of particle sizes.

The Cumulative Distribution Function (CDF) is therefore
(2)
\displaystyle R_{cdf} = 1- exp \left [ - \left ( \frac{D}{D_m} \right )^n \right ]

As an additional note, the PDF is:
(3)
\displaystyle R_{pdf} = -\frac{n}{D} \left ( \frac{D}{D_m} \right )^n exp \left [- \left( \frac{D}{D_m} \right )^n \right ]

\graph  Dm=0.1e-3, n=2, D=0:0.3e-3

If you have observed data, then a least square regression analysis can used to fit the data points.
Parameters:
Dmmean particle diameter
nmeasure of the spread of particle sizes
Dparticle size
References:
K.M. Djamarani and I.M. Clark, 1997. Powder Technology, Elsevier Science. 93, No 2, pp. 101-108(8)
Authors:
Will Bateman (2006)
Source Code:
Register

- To get code register with CodeCogs. Already a Member, then Login.


Last Modified: 16 Mar 08 @ 21:58     Page Rendered: 2008-05-09 11:07:03

Page Comments

  You must login to leave a messge


Valid CSS!   Valid XHTML 1.0 Transitional