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A variational multiscale method for natural convection of nanofluids

文献类型:期刊论文

作者Zhu, Lixing2; A. Goraya, Shoaib1; Masud, Arif1
刊名MECHANICS RESEARCH COMMUNICATIONS
出版日期2023
卷号127页码:13
ISSN号0093-6413
关键词Stabilized methods Nanofluids Heat transfer Boussinesq approximation Natural convection Wavy wall Variational multiscale Finite elements
DOI10.1016/j.mechrescom.2022.103960
通讯作者Masud, Arif(amasud@illinois.edu)
英文摘要The notion of enhanced thermal convection via particle laden fluids has been around for a long time. Technological challenges associated with the development of micro to nano particles with desired properties and their uniform dispersion in the base fluid have been a bottleneck. Relatively recently, the advent of modern manufacturing techniques from micro to nanoscales have rekindled extreme interest in this class of fluids for innovative applications in advanced engineering systems. Buoyancy-induced convection and heat transfer involves conservation laws of mass, momentum, and energy. The mathematical model is comprised of two-way coupled system of mixed-field and convection-dominated partial differential equations. A stabilized method for nonlinearly coupled system is presented, and a systematic approach to develop the sub-grid scale (SGS) physics-based models is described. Explicit structure of the stabilization tensor is derived and it is shown to preserve nonlinear coupling in the SGS models that plays a critical role when nonlinear coupling of mechanical and thermal fields leads to anisotropy across the scales. The formulation is variationally consistent and results in optimal spatial convergence rates on structured meshes for linear triangles and bilinear quadrilaterals. Consistent linearization of the nonlinear system of equations yields quadratic rate of convergence of nonlinear iterations in the Newton-Raphson method. The method is tested on problems with increasing level of complexity to highlight the mathematical attributes of the method and its range of applicability.
WOS关键词EFFECTIVE THERMAL-CONDUCTIVITY ; INCLINED SQUARE ENCLOSURE ; HEAT-TRANSFER ENHANCEMENT ; FINITE-ELEMENT-METHOD ; DYNAMICS SIMULATION ; LAMINAR ; VISCOSITY ; CAVITY ; SUSPENSIONS ; FORMULATION
资助项目US-NSF ; US-NSF Teragrid/XSEDE program ; [NSF-DMS-16-20231] ; [TG-DMS100004]
WOS研究方向Mechanics
语种英语
WOS记录号WOS:000909154800001
资助机构US-NSF ; US-NSF Teragrid/XSEDE program
源URL[http://dspace.imech.ac.cn/handle/311007/91448]  
专题力学研究所_非线性力学国家重点实验室
通讯作者Masud, Arif
作者单位1.Univ Illinois, Dept Civil & Environm Engn, Urbana, IL 61801 USA
2.Chinese Acad Sci, Inst Mech, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714
Zhu, Lixing,A. Goraya, Shoaib,Masud, Arif. A variational multiscale method for natural convection of nanofluids[J]. MECHANICS RESEARCH COMMUNICATIONS,2023,127:13.
APA Zhu, Lixing,A. Goraya, Shoaib,&Masud, Arif.(2023).A variational multiscale method for natural convection of nanofluids.MECHANICS RESEARCH COMMUNICATIONS,127,13.
MLA Zhu, Lixing,et al."A variational multiscale method for natural convection of nanofluids".MECHANICS RESEARCH COMMUNICATIONS 127(2023):13.

入库方式: OAI收割

来源:力学研究所

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