Error analysis of asymptotic solution of a heavy particle motion equation in fluid flows

doi:10.1063/5.0212553

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	Error analysis of asymptotic solution of a heavy particle motion equation in fluid flows
	Shen CD(申晨冬); Jin GD(晋国栋)
通讯作者	Jin, Guodong([email protected])
发表期刊	PHYSICS OF FLUIDS
	2024-06-01
卷号	36 期号:6 页码:15
ISSN	1070-6631
摘要	For weakly inertial particles subjected to volumetric forces and Stokes drag force in fluid flows, we can solve the simplified particle motion equation using the perturbation method. This method allows us to obtain a recursive formula for the nth-order correction of the asymptotic solution of particle velocity. We verified the error of the asymptotic solution under two typical flow fields: a time-varying uniform flow field with a volumetric force field and a two-dimensional non-uniform cellular flow field. In the former, the relative error of the asymptotic solution of particle velocity and position increases with the Stokes number, and we provided a quantitative analysis of the results. In the latter, we verify and analyze the asymptotic solution from two perspectives: the behavior of a single particle and the collective behaviors of many particles. For asymptotic solutions with maximum velocity and position errors of less than 5%, we select the solution with the lowest order correction and designate it as the optimal asymptotic solution. The order of the optimal asymptotic solution increases with increasing Stokes numbers and motion durations. However, in most cases, for weakly inertial particles [St similar to O(10(-3))], and the time t* similar to O(10), the first-order asymptotic solution can achieve accuracy, where both St and t* are defined using the flow field characteristic time, T-f = 4 pi s. The results validate the rationale behind utilizing first-order asymptotic solutions in the fast Eulerian method for turbulent dispersion of weakly inertial particles.
DOI	10.1063/5.0212553
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:001244474200004
关键词[WOS]	DIRECT NUMERICAL-SIMULATION ; INTERMITTENT DISTRIBUTION ; INERTIAL PARTICLES ; MODEL ; TURBULENCE ; SPHERE
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
资助项目	National Natural Science Foundation of China10.13039/501100001809[11988102] ; NSFC Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics[12272380] ; NSFC Program[GJXM92579] ; National Key Project ; China Manned Space Engineering Program
项目资助者	National Natural Science Foundation of China10.13039/501100001809 ; NSFC Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics ; NSFC Program ; National Key Project ; China Manned Space Engineering Program
论文分区	一类/力学重要期刊
力学所作者排名	1
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/95685
专题	非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Shen CD,Jin GD. Error analysis of asymptotic solution of a heavy particle motion equation in fluid flows[J]. PHYSICS OF FLUIDS,2024,36,6,:15.
APA	申晨冬,&晋国栋.(2024).Error analysis of asymptotic solution of a heavy particle motion equation in fluid flows.PHYSICS OF FLUIDS,36(6),15.
MLA	申晨冬,et al."Error analysis of asymptotic solution of a heavy particle motion equation in fluid flows".PHYSICS OF FLUIDS 36.6(2024):15.