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Nano-particle drag prediction at low Reynolds number using a direct Boltzmann–BGK solution approach

B. Evans
<span title="">2018</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f7kkigxhzjakref5b42jt4uoya" style="color: black;">Journal of Computational Physics</a> </i> &nbsp;
of a nano-scale particle by means of direct solution of the Boltzmann equation.  ...  However, the author is unaware of any successful attempts to use the LBM approach for nano-particle drag prediction in the literature.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2017.09.038">doi:10.1016/j.jcp.2017.09.038</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wlo3kjemwvay5gl4tdd5hrulbm">fatcat:wlo3kjemwvay5gl4tdd5hrulbm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190428073929/https://cronfa.swan.ac.uk/Record/cronfa35652/Download/0035652-04102017103312.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/53/05/53053e63d8ff3cb1db0476e958fc20bbacaa5565.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2017.09.038"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Aerodynamic optimisation of a hypersonic reentry vehicle based on solution of the Boltzmann–BGK equation and evolutionary optimisation

B. Evans, S.P. Walton
<span title="">2017</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gtpvsgujvfb5fjb2m4xzlxum6a" style="color: black;">Applied Mathematical Modelling</a> </i> &nbsp;
Acknowledgements The authors would like to acknowledge the support provided by the Zienkiewicz Centre for Computational Engineering at Swansea University for the provision of the computational resources  ...  the prediction of the drag forces on a nano-particle.  ...  Figure 8 shows a comparison of the drag coefficient predicted by the Boltzmann-BGK solver across the considered Re range with the molecular gas dynamics (MGD) approach used by Hafezi et al [20] and  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.apm.2017.07.024">doi:10.1016/j.apm.2017.07.024</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/otm35vaacrdzpgua2i4hi5q4ly">fatcat:otm35vaacrdzpgua2i4hi5q4ly</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190427042053/https://cronfa.swan.ac.uk/Record/cronfa34691/Download/0034691-31072017092051.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ca/6b/ca6be09a7e805aae3f5bfde86b5ae6a2e659dbf0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.apm.2017.07.024"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Particle-based hybrid and multiscale methods for nonequilibrium gas flows

Jun Zhang, Benzi John, Marcel Pfeiffer, Fei Fei, Dongsheng Wen
<span title="2019-05-30">2019</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ibgyh77y5nbwnpfkp37wy5a5dm" style="color: black;">Advances in Aerodynamics</a> </i> &nbsp;
Over the past half century, a variety of computational fluid dynamics (CFD) methods and the direct simulation Monte Carlo (DSMC) method have been widely and successfully applied to the simulation of gas  ...  In this paper, we review two particle-based strategies developed for the simulation of multiscale nonequilibrium gas flows, i.e., DSMC-CFD hybrid methods and multiscale particle methods.  ...  Particle BGK method The BGK approach simplifies the Boltzmann collision integral with a linear relaxation form, ∂f ∂t þ v i ∂ f ∂x i ¼ 1 τ BGK f e −f ð Þ; ð6Þ here the particle distribution function f  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s42774-019-0014-7">doi:10.1186/s42774-019-0014-7</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tfvubwniznemlhiiukczkt36s4">fatcat:tfvubwniznemlhiiukczkt36s4</a> </span>
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A New Formulation for Prediction of Permeability of Nano Porous Structures using Lattice Botzmann Method

M. Mostafavi, A. H. Meghdadi Isfahani
<span title="2017-03-01">2017</span> <i title="CASRP: Center of Advanced Scientific Research and Publications"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7drrvjne4ve6xk65b2g4karvsu" style="color: black;">Journal of Applied Fluid Mechanics</a> </i> &nbsp;
A new correlation between the permeability, the porosity and the Knudsen number is then proposed which is able to predict the permeability of in-line and staggered nano porous structures in slip and transitional  ...  The standard lattice Boltzmann equation, LBE, is inadequate for simulating gas flows in nano scale flows with Knudsen numbers higher than 0.1.  ...  This method is a particle-based mesoscopic method independent of actual number of molecules, so it has a low computational cost.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.18869/acadpub.jafm.73.239.26702">doi:10.18869/acadpub.jafm.73.239.26702</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tf7bipyrkrg3dao3jxbdphkmki">fatcat:tf7bipyrkrg3dao3jxbdphkmki</a> </span>
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Application of lattice Boltzmann method to the fluid analysis in a rectangular microchannel

Chyung Ay, Chao-Wang Young, Chuen-Fu Young
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nkrwe4pmozafvnd72yxufztpku" style="color: black;">Computers and Mathematics with Applications</a> </i> &nbsp;
In addition, LBM was also used to simulate pipe flow in a rectangular microchannel and investigate the effect of drag force, dielectrophoresis, and buoyancy on the motion of biological particles.  ...  The lattice Boltzmann method (LBM) is a computation and modeling method different from traditional numerical methods.  ...  approaches Maxwell distribution and proposed that the Boltzmann equation can be approximated to Boltzmann BGK collision approximate equation [9] as follows: f α (x + e α δ t , t + δ t ) − f α (x, t)  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.camwa.2012.03.025">doi:10.1016/j.camwa.2012.03.025</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/w4dcsmrubngq3d26soskc5s5sy">fatcat:w4dcsmrubngq3d26soskc5s5sy</a> </span>
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A Review on the development of lattice Boltzmann computation of macro fluid flows and heat transfer

D. Arumuga Perumal, Anoop K. Dass
<span title="">2015</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/n5qql4thwzfabg3mmrkliwx42e" style="color: black;">Alexandria Engineering Journal</a> </i> &nbsp;
The LBM received a tremendous impetus with their spectacular use in incompressible and compressible fluid flow and heat transfer problems.  ...  The present paper reviews the philosophy and the formal concepts behind the lattice Boltzmann approach and gives progress in the area of incompressible fluid flows, compressible fluid flows and free surface  ...  This situation takes place at high Reynolds numbers.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.aej.2015.07.015">doi:10.1016/j.aej.2015.07.015</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dlmer7urqbf4veefsw7ep4qfri">fatcat:dlmer7urqbf4veefsw7ep4qfri</a> </span>
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Progress of discrete unified gas-kinetic scheme for multiscale flows

Zhaoli Guo, Kun Xu
<span title="2021-02-06">2021</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ibgyh77y5nbwnpfkp37wy5a5dm" style="color: black;">Advances in Aerodynamics</a> </i> &nbsp;
Particularly, the distribution function at a cell interface is reconstructed from the characteristic solution of the kinetic equation in space and time, such that the particle transport and collision effects  ...  The DUGKS has been successfully applied to a number of flow problems with multiple flow regimes. This paper presents a brief review of the progress of this method.  ...  Acknowledgements The authors would like to thank many colleagues who have given many insightful suggestions, ideas, and contributions to their research on DUGKS, to name a few: Professors J.Q. Li  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s42774-020-00058-3">doi:10.1186/s42774-020-00058-3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yp5ur4kkgneirau7aorb5tdabm">fatcat:yp5ur4kkgneirau7aorb5tdabm</a> </span>
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Mathematical Modeling for Nanofluids Simulation: A Review of the Latest Works [chapter]

Mohammad Reza Safaei, AminHossein Jahanbin, Ali Kianifar, Samira Gharehkhani, Akeel Shebeeb Kherbeet, Marjan Goodarzi, Mahidzal Dahari
<span title="2016-08-31">2016</span> <i title="InTech"> Modeling and Simulation in Engineering Sciences </i> &nbsp;
For this purpose, a comprehensive review of different nanofluid computational fluid dynamics (CFD) approaches is carried out.  ...  Nanofluids having ultrafine solid particles promise new working fluids for application in energy devices.  ...  It was concluded that the single-phase model cannot predict the Nusselt number with accuracy as good as mixture and VOF models because the impacts of Brownian motion and non-uniform distribution of nano-particles  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/64154">doi:10.5772/64154</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rqhznp3svvdtxd2ujxga7l4ote">fatcat:rqhznp3svvdtxd2ujxga7l4ote</a> </span>
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Progress in particle-based multiscale and hybrid methods for flow applications

Tom-Robin Teschner, László Könözsy, Karl W. Jenkins
<span title="">2016</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vnao72rkkbf67e4x4qqlahtxse" style="color: black;">Microfluidics and Nanofluidics</a> </i> &nbsp;
, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.  ...  Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution  ...  They validated their approach against several test cases and used their solver to simulate 200 RBC at low Reynolds numbers in a microchannel.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10404-016-1729-y">doi:10.1007/s10404-016-1729-y</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/z7l5bu4o3fea3mcg5cznlodppu">fatcat:z7l5bu4o3fea3mcg5cznlodppu</a> </span>
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A Kinetic Perspective on k‒ε Turbulence Model and Corresponding Entropy Production

Pietro Asinari, Matteo Fasano, Eliodoro Chiavazzo
<span title="2016-03-31">2016</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
Reynolds number, the bigger the mesh size.  ...  Due to recent progress in high performance computing, the feasible Reynolds numbers are approaching those recovered in experimental facilities.  ...  " (PRIN 2012, MIUR) and the NANOSTEP project "NANOfluid-based direct Solar absorption for Thermal Energy and water Purification".  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e18040121">doi:10.3390/e18040121</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ljkdr2q3jjg6dozhkmdh373aiu">fatcat:ljkdr2q3jjg6dozhkmdh373aiu</a> </span>
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Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review [article]

Ya-Ling He, Qing Liu, Qing Li
<span title="2018-01-09">2018</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In this article, a comprehensive review of the LB methods for single-phase and solid-liquid phase-change heat transfer in porous media at both the pore scale and representative elementary volume (REV)  ...  In addition, applications of the LB method to predict effective thermal conductivity of porous materials are also provided.  ...  On the other hand, for large Reynolds number or Darcy number, the effect of the nonlinear drag force should be considered [63].  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1801.00504v2">arXiv:1801.00504v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ffkhw5ler5gavdkfybqsgguayy">fatcat:ffkhw5ler5gavdkfybqsgguayy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200824170728/https://arxiv.org/ftp/arxiv/papers/1801/1801.00504.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/2a/db/2adbab0bc789303b4780914ee57b32bcec4dfef9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1801.00504v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Thermophoresis of a spherical particle: modelling through moment-based, macroscopic transport equations

Juan C. Padrino, James E. Sprittles, Duncan A. Lockerby
<span title="2019-01-10">2019</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/npxt45v4ujbozk2ncu3tmta4ci" style="color: black;">Journal of Fluid Mechanics</a> </i> &nbsp;
We also consider the slow, streaming flow of gas past a sphere using the same model resulting in a drag force on the body.  ...  The thermophoretic force is compared with predictions from other theories, including Grad's 13-moment equations (G13), variants of the Boltzmann equation commonly used in kinetic theory, and with recently  ...  Bosworth and A. Ketsdever from the University of Colorado, Colorado Springs, regarding their experiments. We are grateful to Dr L. Gibelli at the University of Warwick for fruitful discussions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/jfm.2018.907">doi:10.1017/jfm.2018.907</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ebiy4lz5rjbsrgasfvsyd2aoca">fatcat:ebiy4lz5rjbsrgasfvsyd2aoca</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190503190834/https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9BAAA3BE6D8A74416B7C0FC32C4B1FEA/S0022112018009072a.pdf/div-class-title-thermophoresis-of-a-spherical-particle-modelling-through-moment-based-macroscopic-transport-equations-div.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3f/b8/3fb882f39eea5a2db60abfd5737f60968eb7afe8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/jfm.2018.907"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> cambridge.org </button> </a>

Non-Newtonian rheology in inertial suspensions of inelastic rough hard spheres under simple shear flow [article]

Rubén Gómez González, Vicente Garzó
<span title="2020-07-08">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The Boltzmann equation is solved by two different but complementary approaches: (i) by means of Grad's moment method, and (ii) by using a Bhatnagar-Gross-Krook (BGK)-type kinetic model adapted to inelastic  ...  As usual, each Fokker-Planck operator is constituted by a drag force term (proportional to v and/or ω) plus a stochastic Langevin term defined in terms of the background temperature T_ex.  ...  Jason Reese who made significant contributions to gas and liquid flows at the micro/nano scale. The present work has been supported by the Spanish Government through Grant No.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2005.12148v3">arXiv:2005.12148v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3mucwtlfmrbp7heu7geu3k3bw4">fatcat:3mucwtlfmrbp7heu7geu3k3bw4</a> </span>
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Wall heat transfer effects on the hydro/thermal behaviour of Poiseuille flow in micro/nanochannels

Hassan Akhlaghi, Ehsan Roohi, Mojtaba Balaj, S. Kokou Dadzie
<span title="">2014</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fbqxosazkbhcdjqeamob3s7wmm" style="color: black;">Physics of Fluids</a> </i> &nbsp;
Their study also showed that thermal creep effects become more pronounced at low Reynolds numbers.  ...  Kanki and Iuchi 8 presented a numerical solution of the Boltzmann equation with the Bhatnagar-Gross-Krook (BGK) model and showed that the effect of thermal creep on the velocity profile of Poiseuille flow  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4894856">doi:10.1063/1.4894856</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/orkafcg7ojf3ncxva65el5en3y">fatcat:orkafcg7ojf3ncxva65el5en3y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200709182021/https://pureapps2.hw.ac.uk/ws/files/7492130/Wall_hear_transfer_effects_on_the_hydrothermal_behaviour_of_Poiseuille_flow_in_micronanochannels.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/52/27/522756ee1ab5efc104a5d7881f8b2dc1e0258c50.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4894856"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Aggregation and flow behavior of magnetic particles in microchannel flow governed by a transverse magnetic field

Jianfeng Zhou, Shiliang Zhang, Chunlei Shao
<span title="2018-08-22">2018</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/zqtc2en5dfhftbwqwzllj2ulpy" style="color: black;">Journal of Physics Communications</a> </i> &nbsp;
On low Reynolds number condition, it is the Stokesian force, F S , that pushes or drags MP to move together base fluid.  ...  Π 3 requires that the Reynolds number of real flow should equal to that of the model and in this work, * n = v Z Re in which is termed as the lattice Reynolds number.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/2399-6528/aad741">doi:10.1088/2399-6528/aad741</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/b5aa7v2dijcezl5podampnlqsm">fatcat:b5aa7v2dijcezl5podampnlqsm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200311050316/https://iopscience.iop.org/article/10.1088/2399-6528/aad741/pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/92/66/9266f28e31881aea622689fc35224f441ecdb744.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/2399-6528/aad741"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> iop.org </button> </a>
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