The normalised Kumaraswamy breakage function

A simple model for wheat roller milling

Fernán Mateos-Salvador, Jhuma Sadhukhan, Grant M. Campbell

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A simplified model describing wheat breakage during roller milling is presented. Previous work introduced the breakage equation describing First Break roller milling of wheat in terms of a breakage function that incorporated relevant input and processing parameters such as roll gap, kernel diameter and kernel hardness. The resulting empirical function, based on polynomial fits, was sufficiently flexible to describe the range of particle size distributions encountered in typical milling operations, but contained a high number of coefficients, making the interpretation of the physical significance of the coefficients difficult and requiring an excessive amount of experimental data. The current work simplifies the breakage function by normalising the output particle size distribution against the milling ratio raised to a power. The Kumaraswamy probability distribution function is then used to describe the normalised data obtained following First Break milling of a wide range of wheat at different roll gaps under both Sharp-to-Sharp and Dull-to-Dull roll dispositions. Using this approach, the effects of roll gap and kernel diameter on wheat breakage can be described using just four parameters. This simplified equation is more practical and versatile for implementation in process integration strategies for the purpose of design and optimisation of cereal processes for food and non-food uses.

Original languageEnglish
Pages (from-to)144-157
Number of pages14
JournalPowder Technology
Volume208
Issue number1
Early online date21 Dec 2010
DOIs
Publication statusPublished - 10 Mar 2011
Externally publishedYes

Fingerprint

Particle size analysis
Probability distributions
Distribution functions
Hardness
Polynomials
Processing

Cite this

Mateos-Salvador, Fernán ; Sadhukhan, Jhuma ; Campbell, Grant M. / The normalised Kumaraswamy breakage function : A simple model for wheat roller milling. In: Powder Technology. 2011 ; Vol. 208, No. 1. pp. 144-157.
@article{23064f5107ea4e569fd45fbca9868f56,
title = "The normalised Kumaraswamy breakage function: A simple model for wheat roller milling",
abstract = "A simplified model describing wheat breakage during roller milling is presented. Previous work introduced the breakage equation describing First Break roller milling of wheat in terms of a breakage function that incorporated relevant input and processing parameters such as roll gap, kernel diameter and kernel hardness. The resulting empirical function, based on polynomial fits, was sufficiently flexible to describe the range of particle size distributions encountered in typical milling operations, but contained a high number of coefficients, making the interpretation of the physical significance of the coefficients difficult and requiring an excessive amount of experimental data. The current work simplifies the breakage function by normalising the output particle size distribution against the milling ratio raised to a power. The Kumaraswamy probability distribution function is then used to describe the normalised data obtained following First Break milling of a wide range of wheat at different roll gaps under both Sharp-to-Sharp and Dull-to-Dull roll dispositions. Using this approach, the effects of roll gap and kernel diameter on wheat breakage can be described using just four parameters. This simplified equation is more practical and versatile for implementation in process integration strategies for the purpose of design and optimisation of cereal processes for food and non-food uses.",
keywords = "Biorefinery, Breakage equation, Flour, Process integration, Roller milling, Wheat",
author = "Fern{\'a}n Mateos-Salvador and Jhuma Sadhukhan and Campbell, {Grant M.}",
year = "2011",
month = "3",
day = "10",
doi = "10.1016/j.powtec.2010.12.013",
language = "English",
volume = "208",
pages = "144--157",
journal = "Powder Technology",
issn = "0032-5910",
publisher = "Elsevier",
number = "1",

}

The normalised Kumaraswamy breakage function : A simple model for wheat roller milling. / Mateos-Salvador, Fernán; Sadhukhan, Jhuma; Campbell, Grant M.

In: Powder Technology, Vol. 208, No. 1, 10.03.2011, p. 144-157.

Research output: Contribution to journalArticle

TY - JOUR

T1 - The normalised Kumaraswamy breakage function

T2 - A simple model for wheat roller milling

AU - Mateos-Salvador, Fernán

AU - Sadhukhan, Jhuma

AU - Campbell, Grant M.

PY - 2011/3/10

Y1 - 2011/3/10

N2 - A simplified model describing wheat breakage during roller milling is presented. Previous work introduced the breakage equation describing First Break roller milling of wheat in terms of a breakage function that incorporated relevant input and processing parameters such as roll gap, kernel diameter and kernel hardness. The resulting empirical function, based on polynomial fits, was sufficiently flexible to describe the range of particle size distributions encountered in typical milling operations, but contained a high number of coefficients, making the interpretation of the physical significance of the coefficients difficult and requiring an excessive amount of experimental data. The current work simplifies the breakage function by normalising the output particle size distribution against the milling ratio raised to a power. The Kumaraswamy probability distribution function is then used to describe the normalised data obtained following First Break milling of a wide range of wheat at different roll gaps under both Sharp-to-Sharp and Dull-to-Dull roll dispositions. Using this approach, the effects of roll gap and kernel diameter on wheat breakage can be described using just four parameters. This simplified equation is more practical and versatile for implementation in process integration strategies for the purpose of design and optimisation of cereal processes for food and non-food uses.

AB - A simplified model describing wheat breakage during roller milling is presented. Previous work introduced the breakage equation describing First Break roller milling of wheat in terms of a breakage function that incorporated relevant input and processing parameters such as roll gap, kernel diameter and kernel hardness. The resulting empirical function, based on polynomial fits, was sufficiently flexible to describe the range of particle size distributions encountered in typical milling operations, but contained a high number of coefficients, making the interpretation of the physical significance of the coefficients difficult and requiring an excessive amount of experimental data. The current work simplifies the breakage function by normalising the output particle size distribution against the milling ratio raised to a power. The Kumaraswamy probability distribution function is then used to describe the normalised data obtained following First Break milling of a wide range of wheat at different roll gaps under both Sharp-to-Sharp and Dull-to-Dull roll dispositions. Using this approach, the effects of roll gap and kernel diameter on wheat breakage can be described using just four parameters. This simplified equation is more practical and versatile for implementation in process integration strategies for the purpose of design and optimisation of cereal processes for food and non-food uses.

KW - Biorefinery

KW - Breakage equation

KW - Flour

KW - Process integration

KW - Roller milling

KW - Wheat

UR - http://www.scopus.com/inward/record.url?scp=79951682683&partnerID=8YFLogxK

U2 - 10.1016/j.powtec.2010.12.013

DO - 10.1016/j.powtec.2010.12.013

M3 - Article

VL - 208

SP - 144

EP - 157

JO - Powder Technology

JF - Powder Technology

SN - 0032-5910

IS - 1

ER -