A note on the kinetic theory of polydisperse granular flow

Polydisperse granular flow has been extensively studied using kinetic theory, where approximations, such as the Taylor series expansion and/or neglect of the contribution of certain terms, were made to derive the constitutive relation due to the difficulties faced in the analytical integration relat...

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Bibliographic Details
Published inChemical engineering science Vol. 223; p. 115730
Main Authors Zhao, Bidan, Wang, Junwu
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 21.09.2020
Subjects
Constitutive relation
Granular flow
Granular temperature
Kinetic theory
Pair distribution function
Polydispersity
Granular flow
Granular temperature
Kinetic theory
Constitutive relation
Pair distribution function
Polydispersity
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Summary:Polydisperse granular flow has been extensively studied using kinetic theory, where approximations, such as the Taylor series expansion and/or neglect of the contribution of certain terms, were made to derive the constitutive relation due to the difficulties faced in the analytical integration related to pair distribution function. In this note, a new method was proposed to exactly calculate the integration related to pair distribution function without any approximations. It was found that different integration methods can result in several orders of magnitude difference of collision frequency, which highlights the importance of proper calculation of the integration related to pair distribution function in the derivation of constitutive relations.
ISSN:0009-2509
1873-4405
DOI:10.1016/j.ces.2020.115730