A variational multiscale method for natural convection of nanofluids

doi:10.1016/j.mechrescom.2022.103960

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	A variational multiscale method for natural convection of nanofluids
	Zhu, Lixing 2; A. Goraya, Shoaib 1; Masud, Arif 1
刊名	MECHANICS RESEARCH COMMUNICATIONS
	2023
卷号	127 页码:13
关键词	Stabilized methods Nanofluids Heat transfer Boussinesq approximation Natural convection Wavy wall Variational multiscale Finite elements
ISSN号	0093-6413
DOI	10.1016/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.
资助项目	US-NSF ; US-NSF Teragrid/XSEDE program ; [NSF-DMS-16-20231] ; [TG-DMS100004]
WOS关键词	EFFECTIVE THERMAL-CONDUCTIVITY ; INCLINED SQUARE ENCLOSURE ; HEAT-TRANSFER ENHANCEMENT ; FINITE-ELEMENT-METHOD ; DYNAMICS SIMULATION ; LAMINAR ; VISCOSITY ; CAVITY ; SUSPENSIONS ; FORMULATION
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
内容类型	期刊论文
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.