Modeling and simulation of the discharge process of isothermal chamber to determine the isothermal characteristic
Isothermal chamber is filled with a certain density of high thermal conductivity porous material, which has a wide range of applications in the flow measurement of pneumatic field, and its isothermal characteristic is critical to its application results. In this paper, in order to improve the numeri...
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| Published in | Journal of Thermal Science and Technology Vol. 17; no. 1; p. 21-00353 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Tokyo
The Japan Society of Mechanical Engineers and The Heat Transfer Society of Japan
2022
Japan Science and Technology Agency The Japan Society of Mechanical Engineers |
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| Online Access | Get full text |
| ISSN | 1880-5566 1880-5566 |
| DOI | 10.1299/jtst.21-00353 |
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| Abstract | Isothermal chamber is filled with a certain density of high thermal conductivity porous material, which has a wide range of applications in the flow measurement of pneumatic field, and its isothermal characteristic is critical to its application results. In this paper, in order to improve the numerical calculation accuracy of the isothermal characteristics during discharge process, a discharge model of isothermal chamber with fractal effective thermal conductivity (ETC) for determining the isothermal characteristic is reported. Firstly, the stuffer in isothermal chamber is considered as porous random fiber bundle, and an ETC prediction model of anisotropic porous random fiber bundle in both vertical and horizontal directions is established by fractal theory. This model with two directions is in good agreement with the experimental results, and the relative root mean square errors (RRMSE) are 3.94% and 9.85%, respectively. Secondly, the discharge model with fractal ETCs is built, and the isothermal characteristics of isothermal chambers with three different porosities are determined by numerical simulation. Finally, experiments to determine the isothermal characteristic are carried out. The numerical simulation results are in good agreement with the experimental results, and the relative errors are less than 3%. It could be concluded that accurately determining the ETC of the stuffer in isothermal chamber can improve the numerical calculation accuracy of the isothermal characteristic. Moreover, compared with the experimental method, numerical method is energy-saving and timesaving. |
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| AbstractList | Isothermal chamber is filled with a certain density of high thermal conductivity porous material, which has a wide range of applications in the flow measurement of pneumatic field, and its isothermal characteristic is critical to its application results. In this paper, in order to improve the numerical calculation accuracy of the isothermal characteristics during discharge process, a discharge model of isothermal chamber with fractal effective thermal conductivity (ETC) for determining the isothermal characteristic is reported. Firstly, the stuffer in isothermal chamber is considered as porous random fiber bundle, and an ETC prediction model of anisotropic porous random fiber bundle in both vertical and horizontal directions is established by fractal theory. This model with two directions is in good agreement with the experimental results, and the relative root mean square errors (RRMSE) are 3.94% and 9.85%, respectively. Secondly, the discharge model with fractal ETCs is built, and the isothermal characteristics of isothermal chambers with three different porosities are determined by numerical simulation. Finally, experiments to determine the isothermal characteristic are carried out. The numerical simulation results are in good agreement with the experimental results, and the relative errors are less than 3%. It could be concluded that accurately determining the ETC of the stuffer in isothermal chamber can improve the numerical calculation accuracy of the isothermal characteristic. Moreover, compared with the experimental method, numerical method is energy-saving and timesaving. |
| ArticleNumber | 21-00353 |
| Author | YANG, Lihong MENG, Guoxiang SHEN, Hangming |
| Author_xml | – sequence: 1 fullname: YANG, Lihong organization: School of Mechanical Engineering, University of Shanghai for Science and Technology – sequence: 1 fullname: MENG, Guoxiang organization: School of Mechanical Engineering, Shanghai Jiao Tong University – sequence: 1 fullname: SHEN, Hangming organization: School of Mechanical Engineering, University of Shanghai for Science and Technology |
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| Cites_doi | 10.1155/2017/7905218 10.1016/j.applthermaleng.2004.03.010 10.1016/j.physleta.2017.08.003 10.1115/1.4006623 10.1016/j.precisioneng.2009.01.008 10.1016/S0263-2241(03)00003-4 10.1016/j.expthermflusci.2014.10.020 10.1016/j.msea.2015.02.017 10.1142/S0218348X01000804 10.2514/3.299 10.1016/S0017-9310(02)00014-5 10.5545/sv-jme.2015.3339 10.1016/j.applthermaleng.2015.04.035 10.4236/jfcmv.2015.34016 10.1007/s10765-011-1066-z 10.1016/j.expthermflusci.2012.11.019 10.1088/0957-0233/18/3/036 10.5739/jfps.50.25 10.1115/1.482439 10.1016/j.ijheatmasstransfer.2007.11.062 |
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| Copyright | 2022 by The Japan Society of Mechanical Engineers and The Heat Transfer Society of Japan 2022. This work is published under https://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| References | Haruki, N., Horibe, A. and Nakashima, K., Anisotropic effective thermal conductivity measurement of various kinds of metal fiber materials, International Journal of Thermophysics, Vol.34, No.12 (2013), pp. 2385-2399. Kawashima, K., Kagawa, T. and Fujita, T., Instantaneous flow rate measurement of ideal gases, Journal of Dynamic Systems, Measurement, and Control, Vol.122, No.1 (2000), pp. 174-178. Kawashima, K. and Kagawa, T., Unsteady flow generator for gases using an isothermal chamber, Measurement, Vol.33, No.4 (2003), pp. 333-340. Yang, L. and Shen, H., Effects of the porous media distribution on the performance improvement for isothermal chamber, Applied Thermal Engineering, Vol.86, No.1 (2015), pp. 301-308. Yu, B. and Cheng, P., A fractal permeability model for bi-dispersed porous media, International Journal of Heat and Mass Transfer, Vol.45, No.14 (2002), pp. 2983-2993. Peng, J., Youn, C., Takeuchi, T. and Kagawa, T., Improvement of characteristics of gas pressure control system using porous materials, Journal of Flow Control Measurement & Visualization, Vol.3, No.4 (2015), pp. 161-171. Yang, L., Shen, H., Song, Y., Wang, J. and Bo, Z., Experimental study of the convection heat transfer model of porous media for isothermal chamber during discharging, Experimental Thermal and Fluid Science, No.61 (2015), pp. 87-95. Kato, T., Kawashima, K., Funaki, T., Tadano, K. and Kagawa, T., A new, high precision, quick response pressure regulator for active control of pneumatic vibration isolation tables, Precision Engineering, Vol.34, No.1 (2009), pp. 43-48. Iida, K., Kobayashi, T., Tadano, K., Cai, M., Fujita, T., Xiao, F. and Kagawa, T., Consideration of the effects of atmospheric pressure change in determination of flow-rate characteristics of components using compressible fluids by isothermal discharge method, Transactions of The Japan Fluid Power System Society, Vol.50, No.1 (2019), pp. 25-30 (in Japanese). Solorzano, E., Reglero, J.A., Rodriguez-Perez, M.A., Lehmhus, D., Wichmann, M. and Saja, J., An experimental study on the thermal conductivity of aluminium foams by using the transient plane source method, International Journal of Heat & Mass Transfer, Vol.51, No.25 (2008), pp. 6259-6267. Kamali, M., Jazayeri, S.A., Najafi, F., Kawashima, K. and Kagawa, T., Study on the performance and control of a piezo-actuated nozzle-flapper valve with an isothermal chamber, Strojniski vestnik-Journal of Mechanical Engineering, Vol.62, No.5 (2016), pp. 318-328. Jagjiwanram and Singh, R., Effective thermal conductivity of highly porous two-phase systems, Applied Thermal Engineering, Vol.24, No.17 (2004), pp. 2727-2735. Liu, J., Wu, M., Zhu, Z. and Shao, Z., A Study on the mechanical properties of the representative volume element in fractal porous media, Geofluids, Vol.2017, No.7905218 (2017), pp. 1-10. Mantle, W.J. and Chang, W.S., Effective thermal conductivity of sintered metal fibers, Journal of Thermophysics & Heat Transfer, Vol.5, No.4 (1991), pp. 545-549. Shen, H., Ye, Q. and Meng, G., Anisotropic fractal model for the effective thermal conductivity of random metal fiber porous media with high porosity, Physics Letters A, Vol.381, No.37 (2017), pp. 3193-3196. Yang, L., Gan, Y. and Liu, P., Study on heat transfer of porous media for isothermal chamber, Experimental Thermal and Fluid Science, Vol.46, No.4 (2013), pp. 46-53. Yu, B. and Li, J., Some fractal characters of porous media, Fractals, Vol.9, No.3 (2001), pp. 365-372. Zhou, J., Gokhale, A.M., Gurumurthy, A. and Bhat, S.P., Realistic microstructural RVE-based simulations of stress-strain behavior of a dual-phase steel having high martensite volume fraction, Materials Science and Engineering A, Vol.630, No.4 (2015), pp. 107-115. Funaki, T., Kawashima, K., Yamazaki, S. and Kagawa, T., Generator of variable gas flows using an isothermal chamber, Measurement Science and Technology, Vol.18, No.3 (2007), pp. 835-842. ISO 6358-2, Pneumatic fluid power-Determination of flow-rate characteristics of components using compressible fluids — Part2: Alternative Test Methods, (2013). Wang, T., Zhao, L., Fan, Z.W. and Kagawa, T., Determination of flow rate characteristics for pneumatic components during isothermal discharge by integral algorithm, Journal of Dynamic Systems Measurement & Control, Vol.134, No.6 (2012), pp. 8122-8130. 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 20 10 21 |
| References_xml | – reference: Mantle, W.J. and Chang, W.S., Effective thermal conductivity of sintered metal fibers, Journal of Thermophysics & Heat Transfer, Vol.5, No.4 (1991), pp. 545-549. – reference: Yang, L., Shen, H., Song, Y., Wang, J. and Bo, Z., Experimental study of the convection heat transfer model of porous media for isothermal chamber during discharging, Experimental Thermal and Fluid Science, No.61 (2015), pp. 87-95. – reference: Yu, B. and Cheng, P., A fractal permeability model for bi-dispersed porous media, International Journal of Heat and Mass Transfer, Vol.45, No.14 (2002), pp. 2983-2993. – reference: Yu, B. and Li, J., Some fractal characters of porous media, Fractals, Vol.9, No.3 (2001), pp. 365-372. – reference: Solorzano, E., Reglero, J.A., Rodriguez-Perez, M.A., Lehmhus, D., Wichmann, M. and Saja, J., An experimental study on the thermal conductivity of aluminium foams by using the transient plane source method, International Journal of Heat & Mass Transfer, Vol.51, No.25 (2008), pp. 6259-6267. – reference: Wang, T., Zhao, L., Fan, Z.W. and Kagawa, T., Determination of flow rate characteristics for pneumatic components during isothermal discharge by integral algorithm, Journal of Dynamic Systems Measurement & Control, Vol.134, No.6 (2012), pp. 8122-8130. – reference: Funaki, T., Kawashima, K., Yamazaki, S. and Kagawa, T., Generator of variable gas flows using an isothermal chamber, Measurement Science and Technology, Vol.18, No.3 (2007), pp. 835-842. – reference: Zhou, J., Gokhale, A.M., Gurumurthy, A. and Bhat, S.P., Realistic microstructural RVE-based simulations of stress-strain behavior of a dual-phase steel having high martensite volume fraction, Materials Science and Engineering A, Vol.630, No.4 (2015), pp. 107-115. – reference: ISO 6358-2, Pneumatic fluid power-Determination of flow-rate characteristics of components using compressible fluids — Part2: Alternative Test Methods, (2013). – reference: Shen, H., Ye, Q. and Meng, G., Anisotropic fractal model for the effective thermal conductivity of random metal fiber porous media with high porosity, Physics Letters A, Vol.381, No.37 (2017), pp. 3193-3196. – reference: Yang, L. and Shen, H., Effects of the porous media distribution on the performance improvement for isothermal chamber, Applied Thermal Engineering, Vol.86, No.1 (2015), pp. 301-308. – reference: Haruki, N., Horibe, A. and Nakashima, K., Anisotropic effective thermal conductivity measurement of various kinds of metal fiber materials, International Journal of Thermophysics, Vol.34, No.12 (2013), pp. 2385-2399. – reference: Yang, L., Gan, Y. and Liu, P., Study on heat transfer of porous media for isothermal chamber, Experimental Thermal and Fluid Science, Vol.46, No.4 (2013), pp. 46-53. – reference: Peng, J., Youn, C., Takeuchi, T. and Kagawa, T., Improvement of characteristics of gas pressure control system using porous materials, Journal of Flow Control Measurement & Visualization, Vol.3, No.4 (2015), pp. 161-171. – reference: Kamali, M., Jazayeri, S.A., Najafi, F., Kawashima, K. and Kagawa, T., Study on the performance and control of a piezo-actuated nozzle-flapper valve with an isothermal chamber, Strojniski vestnik-Journal of Mechanical Engineering, Vol.62, No.5 (2016), pp. 318-328. – reference: Kawashima, K., Kagawa, T. and Fujita, T., Instantaneous flow rate measurement of ideal gases, Journal of Dynamic Systems, Measurement, and Control, Vol.122, No.1 (2000), pp. 174-178. – reference: Iida, K., Kobayashi, T., Tadano, K., Cai, M., Fujita, T., Xiao, F. and Kagawa, T., Consideration of the effects of atmospheric pressure change in determination of flow-rate characteristics of components using compressible fluids by isothermal discharge method, Transactions of The Japan Fluid Power System Society, Vol.50, No.1 (2019), pp. 25-30 (in Japanese). – reference: Liu, J., Wu, M., Zhu, Z. and Shao, Z., A Study on the mechanical properties of the representative volume element in fractal porous media, Geofluids, Vol.2017, No.7905218 (2017), pp. 1-10. – reference: Kawashima, K. and Kagawa, T., Unsteady flow generator for gases using an isothermal chamber, Measurement, Vol.33, No.4 (2003), pp. 333-340. – reference: Jagjiwanram and Singh, R., Effective thermal conductivity of highly porous two-phase systems, Applied Thermal Engineering, Vol.24, No.17 (2004), pp. 2727-2735. – reference: Kato, T., Kawashima, K., Funaki, T., Tadano, K. and Kagawa, T., A new, high precision, quick response pressure regulator for active control of pneumatic vibration isolation tables, Precision Engineering, Vol.34, No.1 (2009), pp. 43-48. – ident: 10 doi: 10.1155/2017/7905218 – ident: 5 doi: 10.1016/j.applthermaleng.2004.03.010 – ident: 13 doi: 10.1016/j.physleta.2017.08.003 – ident: 15 doi: 10.1115/1.4006623 – ident: 4 – ident: 7 doi: 10.1016/j.precisioneng.2009.01.008 – ident: 8 doi: 10.1016/S0263-2241(03)00003-4 – ident: 18 doi: 10.1016/j.expthermflusci.2014.10.020 – ident: 21 doi: 10.1016/j.msea.2015.02.017 – ident: 20 doi: 10.1142/S0218348X01000804 – ident: 11 doi: 10.2514/3.299 – ident: 19 doi: 10.1016/S0017-9310(02)00014-5 – ident: 6 doi: 10.5545/sv-jme.2015.3339 – ident: 17 doi: 10.1016/j.applthermaleng.2015.04.035 – ident: 12 doi: 10.4236/jfcmv.2015.34016 – ident: 2 doi: 10.1007/s10765-011-1066-z – ident: 16 doi: 10.1016/j.expthermflusci.2012.11.019 – ident: 1 doi: 10.1088/0957-0233/18/3/036 – ident: 3 doi: 10.5739/jfps.50.25 – ident: 9 doi: 10.1115/1.482439 – ident: 14 doi: 10.1016/j.ijheatmasstransfer.2007.11.062 |
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| SubjectTerms | Accuracy Chambers Discharge Discharge process Effective thermal conductivity Errors Flow measurement Fractal models Fractal theory Fractals Heat conductivity Heat transfer Isothermal chamber Isothermal characteristic Numerical methods Porous materials Prediction models Simulation Thermal conductivity |
| Title | Modeling and simulation of the discharge process of isothermal chamber to determine the isothermal characteristic |
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