Theoretical Correction of Viscosity Coefficient Measurement by Falling Ball Method
The measurement of viscosity coefficient of liquids is vital in plentiful fields. There are numerous ways to measure the viscosity coefficient such as capillary and rotary rheometry in which falling ball method is mostly widely used. The uncertainty of the terminal velocity and the limit of the visc...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | International Transactions on Electrical Energy Systems |
| Online Access: | http://dx.doi.org/10.1155/2022/3897120 |
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| author | Ruiqi Wang Qingyu Zhang Shihan Xu Liyuan Cui Haonan Jiang |
| author_facet | Ruiqi Wang Qingyu Zhang Shihan Xu Liyuan Cui Haonan Jiang |
| author_sort | Ruiqi Wang |
| collection | DOAJ |
| description | The measurement of viscosity coefficient of liquids is vital in plentiful fields. There are numerous ways to measure the viscosity coefficient such as capillary and rotary rheometry in which falling ball method is mostly widely used. The uncertainty of the terminal velocity and the limit of the viscosity coefficient scale are the principled disadvantages of the method. In our work, the relationship between the displacement and time is obtained by integral calculation. What’s more, we considered the radius of the ball, the radius of the graduated cylinder, and the height of the graduated cylinder by theoretical correction of the stokes expression. The new correction expression broadens the measured viscosity coefficient scale and also improves the precision dramatically. Experimental verification is also well processed which fits well with our theory. The deviation between the viscosity coefficient of castor oil measured by the new correction method and the standard value is only 0.045. The relationship between displacement and time is consistent with the theoretical prediction, and the room mean square error of the two is 0.065. Based on them, this method can be widely used in scientific researches and teaching practices. |
| format | Article |
| id | doaj-art-6cbbfd05469f4f9ba4b866e31ba0003d |
| institution | Kabale University |
| issn | 2050-7038 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Transactions on Electrical Energy Systems |
| spelling | doaj-art-6cbbfd05469f4f9ba4b866e31ba0003d2025-08-20T03:34:09ZengWileyInternational Transactions on Electrical Energy Systems2050-70382022-01-01202210.1155/2022/3897120Theoretical Correction of Viscosity Coefficient Measurement by Falling Ball MethodRuiqi Wang0Qingyu Zhang1Shihan Xu2Liyuan Cui3Haonan Jiang4College of Food Science and EngineeringCollege of Water Resources and Architectural EngineeringCollege of Chemistry and PharmacyCollege of Landscape Architecture and ArtCollege of Food Science and EngineeringThe measurement of viscosity coefficient of liquids is vital in plentiful fields. There are numerous ways to measure the viscosity coefficient such as capillary and rotary rheometry in which falling ball method is mostly widely used. The uncertainty of the terminal velocity and the limit of the viscosity coefficient scale are the principled disadvantages of the method. In our work, the relationship between the displacement and time is obtained by integral calculation. What’s more, we considered the radius of the ball, the radius of the graduated cylinder, and the height of the graduated cylinder by theoretical correction of the stokes expression. The new correction expression broadens the measured viscosity coefficient scale and also improves the precision dramatically. Experimental verification is also well processed which fits well with our theory. The deviation between the viscosity coefficient of castor oil measured by the new correction method and the standard value is only 0.045. The relationship between displacement and time is consistent with the theoretical prediction, and the room mean square error of the two is 0.065. Based on them, this method can be widely used in scientific researches and teaching practices.http://dx.doi.org/10.1155/2022/3897120 |
| spellingShingle | Ruiqi Wang Qingyu Zhang Shihan Xu Liyuan Cui Haonan Jiang Theoretical Correction of Viscosity Coefficient Measurement by Falling Ball Method International Transactions on Electrical Energy Systems |
| title | Theoretical Correction of Viscosity Coefficient Measurement by Falling Ball Method |
| title_full | Theoretical Correction of Viscosity Coefficient Measurement by Falling Ball Method |
| title_fullStr | Theoretical Correction of Viscosity Coefficient Measurement by Falling Ball Method |
| title_full_unstemmed | Theoretical Correction of Viscosity Coefficient Measurement by Falling Ball Method |
| title_short | Theoretical Correction of Viscosity Coefficient Measurement by Falling Ball Method |
| title_sort | theoretical correction of viscosity coefficient measurement by falling ball method |
| url | http://dx.doi.org/10.1155/2022/3897120 |
| work_keys_str_mv | AT ruiqiwang theoreticalcorrectionofviscositycoefficientmeasurementbyfallingballmethod AT qingyuzhang theoreticalcorrectionofviscositycoefficientmeasurementbyfallingballmethod AT shihanxu theoreticalcorrectionofviscositycoefficientmeasurementbyfallingballmethod AT liyuancui theoreticalcorrectionofviscositycoefficientmeasurementbyfallingballmethod AT haonanjiang theoreticalcorrectionofviscositycoefficientmeasurementbyfallingballmethod |