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

doi:10.1063/5.0212553

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

	Error analysis of asymptotic solution of a heavy particle motion equation in fluid flows
	Shen, Chendong 1,2; Jin, Guodong 1,2
刊名	PHYSICS OF FLUIDS
	2024-06-01
卷号	36 期号:6 页码:15
ISSN号	1070-6631
DOI	10.1063/5.0212553
通讯作者	Jin, Guodong(gdjin@lnm.imech.ac.cn)
英文摘要	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.
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
WOS关键词	DIRECT NUMERICAL-SIMULATION ; INTERMITTENT DISTRIBUTION ; INERTIAL PARTICLES ; MODEL ; TURBULENCE ; SPHERE
WOS研究方向	Mechanics ; Physics
语种	英语
WOS记录号	WOS:001244474200004
资助机构	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
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/95684]
专题	力学研究所_非线性力学国家重点实验室
通讯作者	Jin, Guodong
作者单位	1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Shen, Chendong,Jin, Guodong. Error analysis of asymptotic solution of a heavy particle motion equation in fluid flows[J]. PHYSICS OF FLUIDS,2024,36(6):15.
APA	Shen, Chendong,&Jin, Guodong.(2024).Error analysis of asymptotic solution of a heavy particle motion equation in fluid flows.PHYSICS OF FLUIDS,36(6),15.
MLA	Shen, Chendong,et al."Error analysis of asymptotic solution of a heavy particle motion equation in fluid flows".PHYSICS OF FLUIDS 36.6(2024):15.