Purpose: Fitting a 2-value data set to a Rosin-Rammler formula. Method: The general form of the Rosin-Rammler equation is: R=e − D D n n where: R is the %retained at a size D and !oth D n and n are fitting parameters. "iven two points R1 retained at size D1 and R2 retained at size D2 the two fitted parameters ma# !e determined as follows: D n =e$p ln ln R ×ln D 2 −ln ln R 2 ×ln D ln ln R ln R 2 and n = ln ln R ln D D n &n'e fitted the %retained R at an# size D 'an !e estimated form the general form of the equation: R=e − D D n n and an# size D that sees a %retained R 'an !e determined !#: D= n ln % R × D n n or rearranged as D = [ ln R × D n n ] / n (is'laimer: )*+ ,T &)R &/ R0*1. The author will not a''ept an# responsi!ilit# for loss or damage 'aused !# use of these formulae. The equations have not !een tested under stringent 'onditi ons that allow them to !e 'onsi dered ro!ust enough for +ngineerin g use. People usi ng this method must themselves a''ept responsi!ilit# to 'onfirm that results are 'orre't and appli'a!le to the appli'ation !eing 'al'ulated. omments wel'ome: ale$.doll3agd'onsulting.'a CALCULATION COVE R SHE E T Dat e: 28-Nov-06 Author: Alex Do ll Project: General engineering Calc No: Title: Deriving general fitting equations for Rosin-Rammler formula for 2-point case 1

Rosin Ramml Er Fitting

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7/24/2019 Rosin Ramml Er Fitting

http://slidepdf.com/reader/full/rosin-ramml-er-fitting 1/1

Purpose:

Fitting a 2-value data set to a Rosin-Rammler formula.

Method:

The general form of the Rosin-Rammler equation is:

R=e

− D Dnn

where: R is the %retained at a size D and !oth Dn and n are fitting parameters.

"iven two points R1 retained at size D1 and R2 retained at size D2 the two fitted parameters ma# !e

determined as follows:

Dn=e$p

lnln

R×ln D2−lnln

R2×ln D

lnln

R2 and n=

lnln

ln D

&n'e fitted the %retained R at an# size D 'an !e estimated form the general form of the equation:

R=e

− D Dnn

and an# size D that sees a %retained R 'an !e determined !#:

D=n

ln%

R× Dn

n or rearranged as D=[ln

R × Dn

n]/n

(is'laimer: )*+ ,T &)R &/ R0*1.The author will not a''ept an# responsi!ilit# for loss or damage 'aused !# use of these formulae. The equations have not

!een tested under stringent 'onditions that allow them to !e 'onsidered ro!ust enough for +ngineering use. People using thismethod must themselves a''ept responsi!ilit# to 'onfirm that results are 'orre't and appli'a!le to the appli'ation !eing

'al'ulated.

omments wel'ome: ale$.doll3agd'onsulting.'a

CALCULATION COVER SHEET Date: 28-Nov-06

Author: Alex Doll

Project: General engineering Calc No:

Title: Deriving general fitting equations for Rosin-Rammler

formula for 2-point case 1