Actuating characteristics and influencing factors of magnetohydrodynamic momentum wheel

doi:10.3785/j.issn.1008-973X.2021.09.009

Journal of ZheJiang University (Engineering Science)

2021, Vol. 55

Issue (9): 1676-1683 DOI: 10.3785/j.issn.1008-973X.2021.09.009

Actuating characteristics and influencing factors of magnetohydrodynamic momentum wheel

Ji-dong LI(

),Ying ZHONG,Xing-fei LI*(

)

State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China

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Abstract

Based on Navier-Stokes equations for incompressible fluids and magnetohydrodynamics (MHD) basic equations, a complete transfer function model for Hartmann flow of metallic fluid in a rectangular annular tube under current and voltage control mode were built up, and the effects of viscous force and boundary layer on the output performance of the momentum wheel were analyzed. By using the finite element simulation software COMSOL, the fluid motion characteristics and velocity distribution were simulated and verified. The influencing factors of output indexs, including current, magnetic field and characteristic parameters of the fluid, were totally analyzed. In current control mode, the angular momentum output scale factor of the momentum wheel is about 9.68×10^-5 N·m·s/A, which can provide the basis for the design and optimization of the momentum wheel.

Key words： magnetohydrodynamic (MHD) momentum wheel Hartmann flow finite element simulation Navier-Stokes equation

Received: 31 August 2020 Published: 20 October 2021

CLC:

TH 73

Fund: 国家自然科学基金重点项目（61733012）；国家自然科学基金国家重大科研仪器研制项目（61427810）

Corresponding Authors: Xing-fei LI E-mail: lijidong1996@tju.edu.cn;lixftju@sina.com

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Cite this article:

Ji-dong LI,Ying ZHONG,Xing-fei LI. Actuating characteristics and influencing factors of magnetohydrodynamic momentum wheel. Journal of ZheJiang University (Engineering Science), 2021, 55(9): 1676-1683.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2021.09.009 OR https://www.zjujournals.com/eng/Y2021/V55/I9/1676

磁流体动力学动量轮的致动特性和影响因素

结合不可压缩流体的纳维?斯托克斯方程和磁流体动力学基本方程，针对电流和电压控制模式下矩形截面环管内金属流体的哈脱曼流动问题建立完整的传递函数模型，深入分析流体中黏滞力项和边界层效应对动量轮输出性能的影响. 通过有限元仿真软件COMSOL对流体运动特性和流场分布进行仿真验证，分析电流、磁场和流体特征参数对动量轮输出指标的影响. 在电流控制模式下，动量轮的角动量输出标度因数约为9.68×10^?5 N·m·s/A，可作为动量轮的设计与优化依据.

关键词： 磁流体动力学（MHD）, 动量轮, 哈脱曼流动, 有限元仿真, 纳维?斯托克斯方程

Fig.1 Schematic diagram of MHD momentum wheel

Fig.2 Velocity distribution of Hartmann flow model

Fig.3 Cross section diagram of conductive fluid ring

Fig.4 Cross-section of simplified assembly

Tab.1 Component material parameter

Fig.5 Core components’ design scheme of mesh

Fig.6 Flow velocity distribution

Fig.7 Curve of simulation and theoretical velocity versus current

Fig.8 Curve of relative deviation versus current

Fig.9 Curve of velocity versus magnetic induction intensity

Fig.10 Curve of relative deviation versus magnetic induction intensity

Fig.11 Curve of velocity versus conductivity

Fig.12 Curve of velocity versus kinetic viscosity


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