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On-line Access: 2023-12-29

Received: 2023-01-03

Revision Accepted: 2023-06-08

Crosschecked: 2024-01-04

Cited: 0

Clicked: 477

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Yaping ZHANG

https://orcid.org/0000-0002-1193-9107

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Journal of Zhejiang University SCIENCE A 2023 Vol.24 No.12 P.1131-1139

http://doi.org/10.1631/jzus.A2200617


Dynamics of buoyancy-driven microflow in a narrow annular space


Author(s):  Yanzhong WANG, Yaping ZHANG, Kai YANG, Boji LU, Hao GAO

Affiliation(s):  School of Mechanical Engineering & Automation, Beihang University, Beijing 100191, China; more

Corresponding email(s):   hellozyp5200@qq.com

Key Words:  Liquid floated gyroscope (LFG), Annular channel, Roughness feature, Fluid drag


Yanzhong WANG, Yaping ZHANG, Kai YANG, Boji LU, Hao GAO. Dynamics of buoyancy-driven microflow in a narrow annular space[J]. Journal of Zhejiang University Science A, 2023, 24(12): 1131-1139.

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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2200617"
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Abstract: 
This paper aims to investigate the dynamics of buoyancy-driven microflow in a narrow annular space inside a liquid floated gyroscope (LFG). Several theoretical models with a non-uniform thermal boundary for fluid flow in annular channels are given to analyze the effects of various parameters, such as the clearance size h, roughness height re, and rough density ε, on the flow and temperature profiles as well as on the fluid-drag torque. In the narrow annular regime, the relationship between the temperature and the angular displacement of the outer wall is defined as a cosine function, and the surface roughness of the inner wall is structured as a series of surface protrusions with a circular shape. With the increase of clearance size h, the flow velocity gradually increases to a stable level, and the drag torque increases initially and then decreases to a stable level. Furthermore, the increase of roughness height re and roughness density ε intensifies the frictional effect of fluid on the inner-wall surface. However, these two parameters have no significant effect on the flow velocity. This study can provide theoretical references for precision manufacturing and precision improvement of gyro instruments.

狭窄环形空间内浮力驱动微对流的动力学特性

作者:王延忠1,张亚萍1,杨凯2,鲁博佶1,高浩3
机构:1北京航空航天大学,机械工程及自动化学院,中国北京,100191;2北京卫星制造厂,中国北京,100094;3三明学院,机电工程学院,中国三明,365001
目的:液浮陀螺仪环形流道的宏微观特征影响内部浮油的动力学特性,与仪表精度水平密切相关。本文旨在探讨狭窄环形流道的间隙尺寸、粗糙高度、粗糙密度等因素对浮油流场、温度场、粘滞力矩的影响,为陀螺仪表的设计优化和精度提升提供理论参考。
创新点:1.抽取液浮陀螺仪内部环形流道的结构特征,建立流体域的流热耦合模型;2.提出一种表征壁面粗糙特征的方法,获取粗糙特征对浮油流热特性的影响规律。
方法:1.通过分析液浮陀螺仪的结构和工况,建立简化的理论分析模型(图2);2.采用几何微圆构造粗糙特征,并定义壁面粗糙参数(图3);3.建立陀螺仪环形流体域的流热耦合模型;4.通过耦合模型的求解计算,分析壁面宏微观尺寸对浮油动力学特性的影响规律。
结论:1.间隙效应对粘滞力矩的影响大于粘温效应,且力矩随着间隙尺寸的增加先增大后减小,最后趋于稳定;2.流道壁面粗糙度对浮油动力学特性有显著影响,粗糙度高度对粘滞力矩的影响大于粗糙度密度对粘滞力矩的影响。

关键词:液浮陀螺仪;环形通道;粗糙特征;流体阻力

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]BuonomoB, MancaO, 2012. Transient natural convection in a vertical microchannel heated at uniform heat flux. International Journal of Thermal Sciences, 56:35-47.

[2]DauVT, DinhTX, TranCD, et al., 2018. Fluidic mechanism for dual-axis gyroscope. Mechanical Systems and Signal Processing, 108:73-87.

[3]FrasierJT, ScottWE, 1971. Stability of a liquid-filled gyroscope-inviscid analysis, viscous corrections, and experiments. Journal of Spacecraft and Rockets, 8(5):523-526.

[4]FuMY, ChengSY, WangML, et al., 2017. Permeability modeling for porous transducer of liquid-circular angular accelerometer. Sensors and Actuators A: Physical, 257:145-153.

[5]JashitovВE, PankratovBM, 2013. Inertial Navigation Systems, Instruments and Sensors in Aviation, Space and Marine under Thermal Conditions. China Astronautic Publishing House, Beijing, China(in Chinese).

[6]KarpovBG, FrasierJT, D’amicoWP, 1972. Experimental studies with a liquid-filled gyroscope. Journal of Spacecraft and Rockets, 9(3):220-222.

[7]KleinstreuerC, KooJ, 2004. Computational analysis of wall roughness effects for liquid flow in micro-conduits. Journal of Fluids Engineering, 126(1):1-9.

[8]KooJ, KleinstreuerC, 2003. Liquid flow in microchannels: experimental observations and computational analyses of microfluidics effects. Journal of Micromechanics and Microengineering, 13(5):568-579.

[9]LiH, 2016. The Effect of Surface Roughness on Fluid Flow Between Contact Interface. MS Thesis, Hefei University of Technology, Hefei, China(in Chinese).

[10]LiY, DuanFH, 2019. Interference torque of a three-floated gyroscope with gas-lubricated bearings subject to a sudden change of the specific force. Chinese Journal of Aeronautics, 32(3):737-747.

[11]NikuradseJ, 1950. Laws of Flow in Rough Pipes. National Advisory Committee for Aeronautics, Washington, USA.

[12]RastogiP, MahulikarSP, 2022. Entropy generation and Poiseuille number link in developing isothermal laminar micro-flow. Journal of Energy Resources Technology, 144(4):042102.

[13]SongSS, GuoXY, 2012. Boussinesq approximation and numerical simulation of natural convection in a closed square cavity. Chinese Quarterly of Mechanics, 33(1):60-67 (in Chinese).

[14]SunJ, XuCX, HuangWX, 2017. Parametric effects on drag moments of a flow between two cylinders in a micro-gyroscope with a liquid-filled rotor. Chinese Journal of Computational Mechanics, 34(4):493-500 (in Chinese).

[15]TaoWD, 2001. Numerical Heat Transfer. Xi’an Jiaotong University Press, Xi’an, China(in Chinese).

[16]ValdésJR, MianaMJ, PelegayJL, et al., 2007. Numerical investigation of the influence of roughness on the laminar incompressible fluid flow through annular microchannels. International Journal of Heat and Mass Transfer, 50(9-10):1865-1878.

[17]WangYZ, ZhangYP, ZhangFL, et al., 2022. Effect of acceleration on the internal fluid characteristics of liquid floated gyro. European Journal of Mechanics-B/Fluids, 91:94-106.

[18]WilliamsonJ, 1951. The laws of flow in rough pipes. La Houille Blanche, (5):738-757.

[19]ZhangCB, ChenYP, ShiMH, 2010. Effects of roughness elements on laminar flow and heat transfer in microchannels. Chemical Engineering and Processing: Process Intensification, 49(11):1188-1192.

[20]ZhouH, 1980. Torque induced by the convective motion of the floating fluid in a gyroscope of single degree of freedom. Journal of Tianjin University (Science and Technology), (3):1-9 (in Chinese).

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