A variational multiscale method for natural convection of nanofluids

doi:10.1016/j.mechrescom.2022.103960

IMECH-IR > 非线性力学国家重点实验室

	A variational multiscale method for natural convection of nanofluids
	Zhu LX(朱力行); AGoraya, Shoaib; Masud, Arif
通讯作者	Masud, Arif(amasud@illinois.edu)
发表期刊	MECHANICS RESEARCH COMMUNICATIONS
	2023
卷号	127 页码:13
ISSN	0093-6413
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.
关键词	Stabilized methods Nanofluids Heat transfer Boussinesq approximation Natural convection Wavy wall Variational multiscale Finite elements
DOI	10.1016/j.mechrescom.2022.103960
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000909154800001
关键词[WOS]	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
WOS类目	Mechanics
资助项目	US-NSF ; US-NSF Teragrid/XSEDE program ; [NSF-DMS-16-20231] ; [TG-DMS100004]
项目资助者	US-NSF ; US-NSF Teragrid/XSEDE program
论文分区	二类
力学所作者排名	1
RpAuthor	Masud, Arif
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/91449
专题	非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Zhu LX,AGoraya, Shoaib,Masud, Arif. A variational multiscale method for natural convection of nanofluids[J]. MECHANICS RESEARCH COMMUNICATIONS,2023,127:13.
APA	朱力行,AGoraya, Shoaib,&Masud, Arif.(2023).A variational multiscale method for natural convection of nanofluids.MECHANICS RESEARCH COMMUNICATIONS,127,13.
MLA	朱力行,et al."A variational multiscale method for natural convection of nanofluids".MECHANICS RESEARCH COMMUNICATIONS 127(2023):13.

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