| 研究生: |
粘蒨宜 Nien, Chien-Yi |
|---|---|
| 論文名稱: |
具有PCM之垂直平板上之三維暫態自然對流熱傳特徵預測 Prediction of 3D Transient Natural Convection Heat Transfer Characteristics on a Vertical Flat Plate with PCM |
| 指導教授: |
陳寒濤
Chen, Han-Taw |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 機械工程學系 Department of Mechanical Engineering |
| 論文出版年: | 2026 |
| 畢業學年度: | 114 |
| 語文別: | 中文 |
| 論文頁數: | 108 |
| 中文關鍵詞: | 暫態逆向CFD 、自然對流 、垂直平板 、邊界層 |
| 外文關鍵詞: | Transient inverse CFD, Natural convection, Vertical plate, Boundary layer |
| 相關次數: | 點閱:3 下載:0 |
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本研究以具有聚丙烯材料配置之複合垂直平板模擬燃燒室外殼,探討其受內部熱源加熱後之暫態自然對流熱傳特性。研究方法結合實驗溫度量測、三維計算流體力學模擬與逆向分析,並利用最小平方法反推加熱過程中之有效熱源。數值模型以 ANSYS Fluent 建立,包含加熱片、聚丙烯、S45C 鋼材、陶瓷纖維板及外部空氣計算域。流動模型之選定則以均方根誤差、熱傳係數與最大速度作為判斷依據,比較不同模型於暫態自然對流過程中之適用性。
結果顯示,暫態加熱過程中之外部流場可分為層流區、過渡區及紊流區。加熱初期以Laminar模型較適用,過渡階段則以ZEM模型較能描述流場特性;當流場逐漸發展至後期時,RNG k-ε模型與熱傳及流速估算結果較為一致。此外,穩態分析結果顯示,垂直平板沿高度方向會呈現不同局部流場型態,且速度邊界層與熱邊界層厚度皆隨高度增加而改變。
This study investigates transient natural convection heat transfer from a composite vertical plate containing a polypropylene layer and subjected to an internal heat source. Experimental temperature measurements, three-dimensional computational fluid dynamics simulations, and an inverse analysis based on the least squares method are combined to estimate the effective heat generation rate and predict thermal and flow quantities that are difficult to measure directly. Four flow models - laminar, zero-equation (ZEM), standard k-ε, and RNG k-ε - are assessed using the root mean square error, heat transfer coefficient, and maximum velocity. The laminar model is appropriate before 400 s, ZEM is selected for the transitional period from 800 to 1200 s, and RNG k-ε provides the most consistent results after 2000 s and at steady state. A comparison between transient Rayleigh numbers and steady local Rayleigh numbers indicates laminar, transitional, and turbulent-development regions along the lower, middle, and upper portions of the plate, respectively. Both the thermal and velocity boundary layers grow with height, while the thermal boundary layer remains thicker for air with Pr ≈ 0.7. Piecewise height-corrected correlations are proposed for their thickness ratio.
[1] C. Y. Warner and V. S. Arpaci, "An experimental investigation of turbulent natural convection in air at low pressure along a vertical heated flat plate," International Journal of Heat and Mass Transfer, vol. 11, no. 3, pp. 397–406, 1968.
[2] T. Tsuji and Y. Nagano, "Characteristics of a turbulent natural convection boundary layer along a vertical flat plate," International journal of heat and mass transfer, vol. 31, no. 8, pp. 1723–1734, 1988.
[3] T. Tsuji and Y. Nagano, "Turbulence measurements in a natural convection boundary layer along a vertical flat plate," International journal of heat and mass transfer, vol. 31, no. 10, pp. 2101–2111, 1988.
[4] T. Wei, Y. Wang, and J. Abraham, "Layered structure of turbulent natural convection over a vertical flat plate," International Journal of Heat and Mass Transfer, vol. 181, p. 121866, 2021.
[5] M. Z. Abedin, T. Tsuji, and Y. Hattori, "Direct numerical simulation for a time-developing natural-convection boundary layer along a vertical flat plate," International Journal of Heat and Mass Transfer, vol. 52, no. 19, pp. 4525–4534, 2009.
[6] T. Aberra, S. Armfield, M. Behnia, and G. McBain, "Boundary layer instability of the natural convection flow on a uniformly heated vertical plate," International Journal of Heat and Mass Transfer, vol. 55, pp. 6097–6108, 10/01 2012.
[7] Y. Zhao, C. Lei, and J. C. Patterson, "The K-type and H-type transitions of natural convection boundary layers," Journal of Fluid Mechanics, vol. 824, pp. 352–387, 2017.
[8] M. Schaub, M. Kriegel, and S. Brandt, "Analytical prediction of heat transfer by unsteady natural convection at vertical flat plates in air," International Journal of Heat and Mass Transfer, vol. 144, p. 118665, 2019.
[9] M. Schaub, M. Kriegel, and S. Brandt, "Experimental investigation of heat transfer by unsteady natural convection at a vertical flat plate," International Journal of Heat and Mass Transfer, vol. 136, pp. 1186–1198, 2019.
[10] T. H. Mehedi, R. B. Tahzeeb, and A. K. M. S. Islam, "Numerical analysis of steady and transient natural convection in an enclosed cavity," AIP Conference Proceedings, vol. 1851, no. 1, p. 020097, 2017.
[11] J. F. Hinojosa, C. A. Estrada, R. E. Cabanillas, and G. Alvarez, "Numerical Study of Transient and Steady-State Natural Convection and Surface Thermal Radiation in a Horizontal Square Open Cavity," Numerical Heat Transfer, Part A: Applications, vol. 48, no. 2, pp. 179–196, 2005.
[12] H. Cui, F. Xu, and S. C. Saha, "A three-dimensional simulation of transient natural convection in a triangular cavity," International Journal of Heat and Mass Transfer, vol. 85, pp. 1012–1022, 2015.
[13] H.-T. Chen, Y.-C. Huang, S. Rashidi, B.-L. Chen, and W.-M. Yan, "Numerical and experimental studies on heat transfer characteristics and ventilation for indoor vertical farming system," Thermal Science and Engineering Progress, vol. 52, p. 102667, 2024.
[14] H.-T. Chen, W.-Y. Su, Y.-J. Zheng, T.-S. Yang, and K.-X. Chen, "Prediction of 3D natural convection heat transfer characteristics in a shallow enclosure with experimental data," Progress in Nuclear Energy, vol. 153, p. 104425, 2022.
[15] H. T. Chen and H. W. Lo, "A review and novel study of 3D transient inverse natural convection heat transfer on upward-facing hot horizontal plate with phase change material," in Advances in Heat Transfer, vol. 61, J. P. Abraham, J. M. Gorman, and L. Cheng Eds.: Elsevier, 2026, pp. 121–176.
[16] P. Bradshaw, "Possible origin of Prandt's mixing-length theory," Nature, vol. 249, no. 5453, pp. 135–136, 1974, doi: 10.1038/249135b0.
[17] B. E. Launder and D. B. Spalding, "The numerical computation of turbulent flows," in Numerical prediction of flow, heat transfer, turbulence and combustion: Elsevier, 1983, pp. 96–116.
[18] V. Yakhot and S. A. Orszag, "Renormalization group analysis of turbulence. I. Basic theory," Journal of scientific computing, vol. 1, no. 1, pp. 3–51, 1986.
[19] H.-T. Chen, C.-W. Chang, S. Rashidi, J. Čespiva, and W.-M. Yan, "Natural convection heat transfer in isosceles prismatic roof with perforated partition and phase change material," Thermal Science and Engineering Progress, vol. 48, p. 102428, 2024.
[20] H.-T. Chen, M.-H. Hsu, K.-C. Yang, K.-H. Chang, and K.-C. Liu, "Study of inverse natural convection-conduction heat transfer for in-line tube heat exchanger in a hot box with experimental data," Journal of the Taiwan Institute of Chemical Engineers, vol. 141, p. 104600, 2022.
[21] 英. 武沢, "高アスペクト比放電穴加工における実加工深さ計測と加工条件の適応制御," 工学院大学, 2023年度自転車等機械振興補助事業報告書 2023.
[22] A. Ghajar and Y. Cengel, Heat and Mass Transfer - Fundamentals and Applications, 6th Edition, McGraw-Hill Education, New York, NY, 2020. 2021.
[23] F. Xu and S. C. Saha, "Transition to an unsteady flow induced by a fin on the sidewall of a differentially heated air-filled square cavity and heat transfer," International Journal of Heat and Mass Transfer, vol. 71, pp. 236–244, 2014.
[24] H. T. Chen, M. Y. Zeng, H. C. Chang, S. Rashidi, and W. M. Yan, "A novel study of 3D transient inverse natural convection heat in a cubic cavity with a horizontal fin on the hot wall," Journal of Thermal Analysis and Calorimetry, Article vol. 151, no. 3, pp. 2545–2565, 2026.
[25] J. C.-J. Lee, "Laminar free-convection on a vertical flat plate with uniform surface temperature or uniform surface heat flux," 1967.
[26] A. Bejan, Convection heat transfer. John wiley & sons, 2013.