A fractional model for time-variant non-newtonian flow

Xu Yang; Wen Chen; Rui Xiao; Leevan LING

doi:10.2298/TSCI160426245Y

A fractional model for time-variant non-newtonian flow

Xu Yang, Wen Chen^*, Rui Xiao, Leevan LING

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

14 Citations (Scopus)

Abstract

This work applies a fractional flow model to describe a time-variant behavior of non-Newtonian substances. Specifically, we model the physical mechanism underlying the thixotropic and anti-thixotropic phenomena of non-Newtonian flow. This study investigates the behaviors of cellulose suspensions and starch-milk-sugar pastes under constant shear rate. The results imply that the presented model with only two parameters is adequate to fit experimental data. Moreover, the parameter of fractional order is an appropriate index to characterize the state of given substances. Its value indicates the extent of thixotropy and anti-thixotropy with positive and negative order, respectively.

Original language	English
Pages (from-to)	61-68
Number of pages	8
Journal	Thermal Science
Volume	21
DOIs	https://doi.org/10.2298/TSCI160426245Y
Publication status	Published - Jan 2017

Scopus Subject Areas

Renewable Energy, Sustainability and the Environment

User-Defined Keywords

Anti-thixotropic
Fractional calculus
Modeling
Non-Newtonian flow
Thixotropic
Time-dependent

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.2298/TSCI160426245Y

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title = "A fractional model for time-variant non-newtonian flow",

abstract = "This work applies a fractional flow model to describe a time-variant behavior of non-Newtonian substances. Specifically, we model the physical mechanism underlying the thixotropic and anti-thixotropic phenomena of non-Newtonian flow. This study investigates the behaviors of cellulose suspensions and starch-milk-sugar pastes under constant shear rate. The results imply that the presented model with only two parameters is adequate to fit experimental data. Moreover, the parameter of fractional order is an appropriate index to characterize the state of given substances. Its value indicates the extent of thixotropy and anti-thixotropy with positive and negative order, respectively.",

keywords = "Anti-thixotropic, Fractional calculus, Modeling, Non-Newtonian flow, Thixotropic, Time-dependent",

author = "Xu Yang and Wen Chen and Rui Xiao and Leevan LING",

note = "Funding information: This work was supposed by the National Natural Science Foundation Project of China (Grant No. 11372097, 11572111, 11528205), the 111 project under B12032, a GRF Grant of the Hong Kong Research Grant Council, and an FRG Grant of the Hong Kong Baptist University. Publisher copyright: {\textcopyright} 2017 Society of Thermal Engineers of Serbia",

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doi = "10.2298/TSCI160426245Y",

language = "English",

volume = "21",

pages = "61--68",

journal = "Thermal Science",

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T1 - A fractional model for time-variant non-newtonian flow

AU - Yang, Xu

AU - Chen, Wen

AU - Xiao, Rui

AU - LING, Leevan

N1 - Funding information: This work was supposed by the National Natural Science Foundation Project of China (Grant No. 11372097, 11572111, 11528205), the 111 project under B12032, a GRF Grant of the Hong Kong Research Grant Council, and an FRG Grant of the Hong Kong Baptist University. Publisher copyright: © 2017 Society of Thermal Engineers of Serbia

PY - 2017/1

Y1 - 2017/1

N2 - This work applies a fractional flow model to describe a time-variant behavior of non-Newtonian substances. Specifically, we model the physical mechanism underlying the thixotropic and anti-thixotropic phenomena of non-Newtonian flow. This study investigates the behaviors of cellulose suspensions and starch-milk-sugar pastes under constant shear rate. The results imply that the presented model with only two parameters is adequate to fit experimental data. Moreover, the parameter of fractional order is an appropriate index to characterize the state of given substances. Its value indicates the extent of thixotropy and anti-thixotropy with positive and negative order, respectively.

AB - This work applies a fractional flow model to describe a time-variant behavior of non-Newtonian substances. Specifically, we model the physical mechanism underlying the thixotropic and anti-thixotropic phenomena of non-Newtonian flow. This study investigates the behaviors of cellulose suspensions and starch-milk-sugar pastes under constant shear rate. The results imply that the presented model with only two parameters is adequate to fit experimental data. Moreover, the parameter of fractional order is an appropriate index to characterize the state of given substances. Its value indicates the extent of thixotropy and anti-thixotropy with positive and negative order, respectively.

KW - Anti-thixotropic

KW - Fractional calculus

KW - Modeling

KW - Non-Newtonian flow

KW - Thixotropic

KW - Time-dependent

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U2 - 10.2298/TSCI160426245Y

DO - 10.2298/TSCI160426245Y

M3 - Journal article

AN - SCOPUS:85015685601

SN - 0354-9836

VL - 21

SP - 61

EP - 68

JO - Thermal Science

JF - Thermal Science

ER -

A fractional model for time-variant non-newtonian flow

Abstract

Scopus Subject Areas

User-Defined Keywords

UN SDGs

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