Drag coefficients of flows past a sphere at high Mach numbers and low Reynolds numbers

LI Ruiyuan; CHEN Feiguo; GE Wei; ZHANG Yongmin

doi:10.7638/kqdlxxb-2021.0051

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Drag coefficients of flows past a sphere at high Mach numbers and low Reynolds numbers

更新时间：2026-05-28

- Drag coefficients of flows past a sphere at high Mach numbers and low Reynolds numbers
- Vol. 39, Issue 3, Pages: 201-208(2021)
- 作者机构：
  
  1. 中国科学院过程工程研究所多相复杂系统国家重点实验室,北京,100190
  2. 中国石油大学（北京）重质油国家重点实验室,北京,102249
  3. 中国科学院绿色过程制造创新研究院,北京,100190
  4. 中国科学院大学化学工程学院,北京,100049
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2021.0051
  CLC： O354
- Published：2021
- 稿件说明：
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李瑞元, 陈飞国, 葛蔚, 等. 高马赫数低雷诺数条件下圆球绕流曳力系数[J]. 空气动力学学报, 2021, 39(3): 201−208.

LI Ruiyuan, CHEN Feiguo, GE Wei, et al. Drag coefficients of flows past a sphere at high Mach numbers and low Reynolds numbers[J]. 2021, 39(3): 201-208.
李瑞元, 陈飞国, 葛蔚, 等. 高马赫数低雷诺数条件下圆球绕流曳力系数[J]. 空气动力学学报, 2021, 39(3): 201−208. DOI： 10.7638/kqdlxxb-2021.0051

LI Ruiyuan, CHEN Feiguo, GE Wei, et al. Drag coefficients of flows past a sphere at high Mach numbers and low Reynolds numbers[J]. 2021, 39(3): 201-208. DOI： 10.7638/kqdlxxb-2021.0051.

摘要

圆球绕流曳力系数通常表示为雷诺数的函数。而随着马赫数增大，曳力系数与马赫数的相关性逐渐增强。本文应用硬球-拟颗粒模型方法模拟研究1≤

≤20和0.1≤

≤3条件下的圆球绕流过程。分析了模拟区域设置和拟颗粒-圆球作用的热适应系数对曳力系数结果的影响，得到合适的区域设置条件和热适应系数，获得高马赫数低雷诺数条件下圆球绕流曳力系数，并依此初步建立1≤

≤20和0.1≤

≤3范围内马赫数对曳力系数的修正模型。

Abstract

It is well accepted that the drag coefficients of incompressible flows past a sphere only depend on the Reynolds number

. However

the influence of the Mach number

on the drag coefficient becomes increasingly obvious for flows with higher Mach numbers. Unfortunately

this influence has not yet been well understood. In this work

a numerical method coupling the hard-sphere and the pseudo-particle models (HS-PPM) is used to simulate flows past a sphere at 1≤

≤20 and 0.1≤

≤3. The influences of the simulating domain and accommodation coefficients of the interactions between pseudo-particles and the solid sphere on drag coefficients are studied firstly. Then

approporiate simulation domains and reasonable accommodation coefficients are

obtained to simulate flows past a sphere. Finally

based on the drag coefficients obtained from the HS-PPM simulations

a preliminary Mach-number correction model of drag coefficients is proposed.

关键词

Keywords

references

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