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On the shear viscosity of dilute suspension containing elliptical porous particles at low Reynolds number
In view of the significance of non-spherical and permeable particles in liquid-solid and gas-liquid-solid reactors in industrial processes, it is essential to understand and quantify the rheological properties of multiphase flows in these processes. In this study, we investigate the shear viscosity...
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Published in: | Powder technology 2019-09, Vol.354, p.108-114 |
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creator | Liu, Jiajia Li, Chenggong Ye, Mao Liu, Zhongmin |
description | In view of the significance of non-spherical and permeable particles in liquid-solid and gas-liquid-solid reactors in industrial processes, it is essential to understand and quantify the rheological properties of multiphase flows in these processes. In this study, we investigate the shear viscosity of dilute suspension containing elliptical porous particles at low Reynolds number Re of O(0) by use of a modified lattice Boltzmann model. The fluid flow around and inside an elliptical porous particle is described by the volume-averaged macroscopic governing equations. The relative viscosity is calculated for an elliptical porous particle rotating in a two-dimensional (2D) simple shear flow, based on the relation between the shear stress and the second order moments of non-equilibrium particle distribution function. The effects of porous structure of the elliptical particle on the viscosity and flow field are investigated with different axis ratios in detail. Our results demonstrate that the relative viscosities of dilute suspension containing elliptical porous particles increase linearly with solid volume fraction at various Darcy number for particles with varying axis ratios. Moreover, a simple empirical expression for intrinsic viscosity is proposed as a function of Darcy number.
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•Relative viscosity of multiphase flow increases linearly with Darcy number.•Intrinsic viscosity of suspension decreases monotonously with Darcy number.•A simple empirical formula is proposed to account for the change of intrinsic viscosity. |
doi_str_mv | 10.1016/j.powtec.2019.05.068 |
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[Display omitted]
•Relative viscosity of multiphase flow increases linearly with Darcy number.•Intrinsic viscosity of suspension decreases monotonously with Darcy number.•A simple empirical formula is proposed to account for the change of intrinsic viscosity.</description><identifier>ISSN: 0032-5910</identifier><identifier>EISSN: 1873-328X</identifier><identifier>DOI: 10.1016/j.powtec.2019.05.068</identifier><language>eng</language><publisher>Lausanne: Elsevier B.V</publisher><subject>Computational fluid dynamics ; Darcy number ; Dilution ; Distribution functions ; Elliptical porous particle ; Fluid flow ; Intrinsic viscosity ; Lattice Boltzmann model ; Multiphase flow ; Particulates ; Relative viscosity ; Reynolds number ; Rheological properties ; Shear flow ; Shear stress ; Shear viscosity ; Two dimensional flow ; Viscosity</subject><ispartof>Powder technology, 2019-09, Vol.354, p.108-114</ispartof><rights>2019 Elsevier B.V.</rights><rights>Copyright Elsevier BV Sep 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c437t-2584e65e29ef1cac961d7ecd181077fd89867c1db0d3286b96007db932cf5c7d3</citedby><cites>FETCH-LOGICAL-c437t-2584e65e29ef1cac961d7ecd181077fd89867c1db0d3286b96007db932cf5c7d3</cites><orcidid>0000-0002-4019-8125</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781,27905,27906</link.rule.ids></links><search><creatorcontrib>Liu, Jiajia</creatorcontrib><creatorcontrib>Li, Chenggong</creatorcontrib><creatorcontrib>Ye, Mao</creatorcontrib><creatorcontrib>Liu, Zhongmin</creatorcontrib><title>On the shear viscosity of dilute suspension containing elliptical porous particles at low Reynolds number</title><title>Powder technology</title><description>In view of the significance of non-spherical and permeable particles in liquid-solid and gas-liquid-solid reactors in industrial processes, it is essential to understand and quantify the rheological properties of multiphase flows in these processes. In this study, we investigate the shear viscosity of dilute suspension containing elliptical porous particles at low Reynolds number Re of O(0) by use of a modified lattice Boltzmann model. The fluid flow around and inside an elliptical porous particle is described by the volume-averaged macroscopic governing equations. The relative viscosity is calculated for an elliptical porous particle rotating in a two-dimensional (2D) simple shear flow, based on the relation between the shear stress and the second order moments of non-equilibrium particle distribution function. The effects of porous structure of the elliptical particle on the viscosity and flow field are investigated with different axis ratios in detail. Our results demonstrate that the relative viscosities of dilute suspension containing elliptical porous particles increase linearly with solid volume fraction at various Darcy number for particles with varying axis ratios. Moreover, a simple empirical expression for intrinsic viscosity is proposed as a function of Darcy number.
[Display omitted]
•Relative viscosity of multiphase flow increases linearly with Darcy number.•Intrinsic viscosity of suspension decreases monotonously with Darcy number.•A simple empirical formula is proposed to account for the change of intrinsic viscosity.</description><subject>Computational fluid dynamics</subject><subject>Darcy number</subject><subject>Dilution</subject><subject>Distribution functions</subject><subject>Elliptical porous particle</subject><subject>Fluid flow</subject><subject>Intrinsic viscosity</subject><subject>Lattice Boltzmann model</subject><subject>Multiphase flow</subject><subject>Particulates</subject><subject>Relative viscosity</subject><subject>Reynolds number</subject><subject>Rheological properties</subject><subject>Shear flow</subject><subject>Shear stress</subject><subject>Shear viscosity</subject><subject>Two dimensional flow</subject><subject>Viscosity</subject><issn>0032-5910</issn><issn>1873-328X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kM1LxDAQxYMouK7-Bx4Cnlsn_Up7EWTxCxYWRMFbaJOpm9JNapLusv-9XerZ0zDMe294P0JuGcQMWHHfxYM9BJRxAqyKIY-hKM_IgpU8jdKk_DonC4A0ifKKwSW58r4DgCJlsCB6Y2jYIvVbrB3day-t1-FIbUuV7scwXUY_oPHaGiqtCbU22nxT7Hs9BC3rng7W2dHToXbT3qOndaC9PdB3PBrbK0_NuGvQXZOLtu493vzNJfl8fvpYvUbrzcvb6nEdySzlIUryMsMix6TClslaVgVTHKViJQPOW1VWZcElUw2oqVrRVAUAV02VJrLNJVfpktzNuYOzPyP6IDo7OjO9FEnKWJ5UWQmTKptV0lnvHbZicHpXu6NgIE5QRSdmqOIEVUAuJqiT7WG24dRgr9EJLzUaiUo7lEEoq_8P-AX1aIRy</recordid><startdate>20190901</startdate><enddate>20190901</enddate><creator>Liu, Jiajia</creator><creator>Li, Chenggong</creator><creator>Ye, Mao</creator><creator>Liu, Zhongmin</creator><general>Elsevier B.V</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7ST</scope><scope>8BQ</scope><scope>8FD</scope><scope>C1K</scope><scope>JG9</scope><scope>SOI</scope><orcidid>https://orcid.org/0000-0002-4019-8125</orcidid></search><sort><creationdate>20190901</creationdate><title>On the shear viscosity of dilute suspension containing elliptical porous particles at low Reynolds number</title><author>Liu, Jiajia ; Li, Chenggong ; Ye, Mao ; Liu, Zhongmin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c437t-2584e65e29ef1cac961d7ecd181077fd89867c1db0d3286b96007db932cf5c7d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Computational fluid dynamics</topic><topic>Darcy number</topic><topic>Dilution</topic><topic>Distribution functions</topic><topic>Elliptical porous particle</topic><topic>Fluid flow</topic><topic>Intrinsic viscosity</topic><topic>Lattice Boltzmann model</topic><topic>Multiphase flow</topic><topic>Particulates</topic><topic>Relative viscosity</topic><topic>Reynolds number</topic><topic>Rheological properties</topic><topic>Shear flow</topic><topic>Shear stress</topic><topic>Shear viscosity</topic><topic>Two dimensional flow</topic><topic>Viscosity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Jiajia</creatorcontrib><creatorcontrib>Li, Chenggong</creatorcontrib><creatorcontrib>Ye, Mao</creatorcontrib><creatorcontrib>Liu, Zhongmin</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Environment Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Materials Research Database</collection><collection>Environment Abstracts</collection><jtitle>Powder technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Jiajia</au><au>Li, Chenggong</au><au>Ye, Mao</au><au>Liu, Zhongmin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the shear viscosity of dilute suspension containing elliptical porous particles at low Reynolds number</atitle><jtitle>Powder technology</jtitle><date>2019-09-01</date><risdate>2019</risdate><volume>354</volume><spage>108</spage><epage>114</epage><pages>108-114</pages><issn>0032-5910</issn><eissn>1873-328X</eissn><abstract>In view of the significance of non-spherical and permeable particles in liquid-solid and gas-liquid-solid reactors in industrial processes, it is essential to understand and quantify the rheological properties of multiphase flows in these processes. In this study, we investigate the shear viscosity of dilute suspension containing elliptical porous particles at low Reynolds number Re of O(0) by use of a modified lattice Boltzmann model. The fluid flow around and inside an elliptical porous particle is described by the volume-averaged macroscopic governing equations. The relative viscosity is calculated for an elliptical porous particle rotating in a two-dimensional (2D) simple shear flow, based on the relation between the shear stress and the second order moments of non-equilibrium particle distribution function. The effects of porous structure of the elliptical particle on the viscosity and flow field are investigated with different axis ratios in detail. Our results demonstrate that the relative viscosities of dilute suspension containing elliptical porous particles increase linearly with solid volume fraction at various Darcy number for particles with varying axis ratios. Moreover, a simple empirical expression for intrinsic viscosity is proposed as a function of Darcy number.
[Display omitted]
•Relative viscosity of multiphase flow increases linearly with Darcy number.•Intrinsic viscosity of suspension decreases monotonously with Darcy number.•A simple empirical formula is proposed to account for the change of intrinsic viscosity.</abstract><cop>Lausanne</cop><pub>Elsevier B.V</pub><doi>10.1016/j.powtec.2019.05.068</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0002-4019-8125</orcidid></addata></record> |
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subjects | Computational fluid dynamics Darcy number Dilution Distribution functions Elliptical porous particle Fluid flow Intrinsic viscosity Lattice Boltzmann model Multiphase flow Particulates Relative viscosity Reynolds number Rheological properties Shear flow Shear stress Shear viscosity Two dimensional flow Viscosity |
title | On the shear viscosity of dilute suspension containing elliptical porous particles at low Reynolds number |
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