Effects of temperature change on the rheological property of modified multiwall carbon nanotubes

Weipeng HU, Zhen WANG, Yulu HUAI, Xiqiao FENG, Wenqi SONG, Zichen DENG

doi:10.1007/s10483-022-2906-7

Applied Mathematics and Mechanics >

2022 , Vol. 43 >Issue 10: 1503 - 1514

DOI: https://doi.org/10.1007/s10483-022-2906-7

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Effects of temperature change on the rheological property of modified multiwall carbon nanotubes

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1. School of Civil Engineering and Architecture, Xi'an University of Technology, Xi'an 710048, China;
2. State Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China, Xi'an University of Technology, Xi'an 710048, China;
3. School of Science, Xijing University, Xi'an 710123, China;
4. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China;
5. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, China

Received date: 2022-05-07

Revised date: 2022-07-12

Online published: 2022-10-25

Supported by

the National Natural Science Foundation of China (Nos. 12172281 and 11972284), the Distinguished Young Scholars of Shaanxi Province of China (No. 2019JC-29), the Foundation Strengthening Programme Technical Area Fund of Shaanxi Province of China (No. 2021-JCJQ-JJ-0565), the Science and Technology Innovation Team of Shaanxi Province of China (No. 2022TD-61), and the Youth Innovation Team of Shaanxi Universities and Doctoral Dissertation Innovation Fund of Xi'an University of Technology of China (Nos. 252072016 and 252072115)

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Abstract

Solvent-free nanofluids hold promise for many technologically significant applications. The liquid-like behavior, a typical rheological property of solvent-free nanofluids, has aroused considerable interests. However, there has been still lack of efficient methods to predict and control the liquid-like behavior of solvent-free nanofluids. In this paper, we propose a semi-discrete dynamic system with stochastic excitation describing the temperature change effects on the rheological property of multiwall carbon nanotubes (MWCNTs) modified by grafting sulfonic acid terminated organosilanes as corona and tertiary amine as canopy, which is a typical covalent-type solvent-free nanofluid system. The vibration of the grafting branches is simulated by employing a structure-preserving approach, and the shear force of grafting branches at the fixed end is computed subsequently. By taking the shear forces as an excitation acting on the MWCNTs, the axial motion of the MWCNTs is solved with the 7-point Gauss-Kronrod quadrature rule. The critical temperature associated with the appearance of the liquid-like behavior as well as the upper bound of the moving speed of the modified MWCNTs is determined, which can be used to predict and control the liquid-like behavior of the modified MWCNTs in engineering applications.

Key words： covalent-type solvent-free nanofluid; rheological property; temperature change; modified multiwall carbon nanotube (MWCNT); generalized stochastic multi-symplectic method

Cite this article

Weipeng HU, Zhen WANG, Yulu HUAI, Xiqiao FENG, Wenqi SONG, Zichen DENG . Effects of temperature change on the rheological property of modified multiwall carbon nanotubes[J]. Applied Mathematics and Mechanics, 2022 , 43(10) : 1503 -1514 . DOI: 10.1007/s10483-022-2906-7

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