A Hydrodynamic Model for Measuring Fluid Density and Viscosity by Using Quartz Tuning Forks
A hydrodynamic model of using quartz tuning forks (QTFs) for density and viscosity sensing, by measuring the resonance frequency and quality factor, has been established based on the cantilever beam theory applied to the atomic force microscope (AFM). Two examples are presented to verify the usabili...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-12-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/20/1/198 |
| _version_ | 1798042430330634240 |
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| author | Mi Zhang Dehua Chen Xiao He Xiuming Wang |
| author_facet | Mi Zhang Dehua Chen Xiao He Xiuming Wang |
| author_sort | Mi Zhang |
| collection | DOAJ |
| description | A hydrodynamic model of using quartz tuning forks (QTFs) for density and viscosity sensing, by measuring the resonance frequency and quality factor, has been established based on the cantilever beam theory applied to the atomic force microscope (AFM). Two examples are presented to verify the usability of this model. Then, the Sobol index method is chosen for explaining quantitatively how the resonance frequency and quality factor of the QTFs are affected by the fluid density and viscosity, respectively. The results show that the relative mean square error in viscosity of the eight solutions evaluated by the hydrodynamic model is reduced by an order of magnitude comparing with Butterworth−Van Dyke equivalent circuit method. When the measured resonance frequency and quality factor of the QTFs vary from 25,800−26,100 Hz and 28−41, the sensitivities of the quality factor affected by the fluid density increase. This model provides an idea for improving the accuracy of fluid component recognition in real time, and lays a foundation for the application of miniaturized and cost-effective downhole fluid density and viscosity sensors. |
| first_indexed | 2024-04-11T22:35:25Z |
| format | Article |
| id | doaj.art-ea3ce2a2241c4b2cb296fdcde59bf709 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T22:35:25Z |
| publishDate | 2019-12-01 |
| publisher | MDPI AG |
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| series | Sensors |
| spelling | doaj.art-ea3ce2a2241c4b2cb296fdcde59bf7092022-12-22T03:59:14ZengMDPI AGSensors1424-82202019-12-0120119810.3390/s20010198s20010198A Hydrodynamic Model for Measuring Fluid Density and Viscosity by Using Quartz Tuning ForksMi Zhang0Dehua Chen1Xiao He2Xiuming Wang3State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, ChinaState Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, ChinaState Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, ChinaState Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, ChinaA hydrodynamic model of using quartz tuning forks (QTFs) for density and viscosity sensing, by measuring the resonance frequency and quality factor, has been established based on the cantilever beam theory applied to the atomic force microscope (AFM). Two examples are presented to verify the usability of this model. Then, the Sobol index method is chosen for explaining quantitatively how the resonance frequency and quality factor of the QTFs are affected by the fluid density and viscosity, respectively. The results show that the relative mean square error in viscosity of the eight solutions evaluated by the hydrodynamic model is reduced by an order of magnitude comparing with Butterworth−Van Dyke equivalent circuit method. When the measured resonance frequency and quality factor of the QTFs vary from 25,800−26,100 Hz and 28−41, the sensitivities of the quality factor affected by the fluid density increase. This model provides an idea for improving the accuracy of fluid component recognition in real time, and lays a foundation for the application of miniaturized and cost-effective downhole fluid density and viscosity sensors.https://www.mdpi.com/1424-8220/20/1/198density sensorviscosity sensorquartz tuning forksensitivity analysis |
| spellingShingle | Mi Zhang Dehua Chen Xiao He Xiuming Wang A Hydrodynamic Model for Measuring Fluid Density and Viscosity by Using Quartz Tuning Forks Sensors density sensor viscosity sensor quartz tuning fork sensitivity analysis |
| title | A Hydrodynamic Model for Measuring Fluid Density and Viscosity by Using Quartz Tuning Forks |
| title_full | A Hydrodynamic Model for Measuring Fluid Density and Viscosity by Using Quartz Tuning Forks |
| title_fullStr | A Hydrodynamic Model for Measuring Fluid Density and Viscosity by Using Quartz Tuning Forks |
| title_full_unstemmed | A Hydrodynamic Model for Measuring Fluid Density and Viscosity by Using Quartz Tuning Forks |
| title_short | A Hydrodynamic Model for Measuring Fluid Density and Viscosity by Using Quartz Tuning Forks |
| title_sort | hydrodynamic model for measuring fluid density and viscosity by using quartz tuning forks |
| topic | density sensor viscosity sensor quartz tuning fork sensitivity analysis |
| url | https://www.mdpi.com/1424-8220/20/1/198 |
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