簡易檢索 / 詳目顯示

研究生: 劉朝勝
Liu, Chao-Sheng
論文名稱: 基於計算流體力學 (CFD) 之散熱鰭片熱傳性能與流場機制研究
CFD Investigation into the Heat Transfer Performance and Flow Mechanisms of Heat Sink Fins
指導教授: 李崇綱
Li, Chung-Gang
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: 97
中文關鍵詞: 強制對流性能評估準則沉浸式邊界法渦流產生器交錯鰭片可壓縮流
外文關鍵詞: Forced Convection, Performance Evaluation Criterion, Immersed Boundary Method, Vortex Generators, Offset Strip Fins, Compressible Flow
相關次數: 點閱:15下載:0
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 本研究針對高功率伺服器在強制對流環境下之散熱需求,提出系統性的鰭片構型優化策略。有別於傳統不可壓縮流假設,本數值模擬採用全域可壓縮流求解器以保留流體受熱加速之真實物理效應,並導入 BCM(Building–Cube Method)之笛卡爾網格系統,結合沉浸式邊界法(Immersed Boundary Method, IBM)精確解析複雜固體邊界。為全面評估不同工況,研究設定入口流速為 1 m/s(靜音節能模式)、4 m/s(常規運行模式)與8 m/s(極限運轉模式),並系統性分析直線、波浪(Wave Fins)、交錯鰭片(Offset Strip Fins, OSF)及三角翼渦流產生器(Delta Winglet Pairs, VG)等多元結構之熱傳性能。
    研究結果顯示,散熱效能的提升並非單純取決於表面積的增加,而是高度仰賴流場微觀機制與運行雷諾數的匹配。在 1 m/s 的低速工況下,流場受黏滯力主導,複雜構型易引發流動停滯與無效壓降,此時維持流道暢通的寬間距直線鰭片展現出最佳的能效比(η = 1.06)。當流速提升至 4 m/s 時,慣性力促使流動機制產生顯著變化:交錯鰭片透過持續促使熱邊界層重新發展,展現出高達 34.2的平均紐塞數與230 W 的總熱傳量,但其高達 63 Pa 的壓降使其能效比顯著下降至 0.76;相反地,三角翼渦流產生器在高速下成功誘發強烈的三維縱向渦流,在維持與基準模型相近之極低壓降(24 Pa)的前提下,將總熱傳量提升至 129 W,使其能效比達到 1.10。最後,在 8 m/s 的極端工況下,本研究證實了大振幅波浪鰭片因嚴重的流動分離導致流體動力學機制失效,壓降呈非線性大幅上升;反觀交錯鰭片仍維持優異之散熱能力,且壓降損失處於可接受範圍。總結而言,針對伺服器散熱設計,若以極限熱傳能力為首要目標,交錯鰭片為較佳選擇;若追求系統整體能效最佳化,則三角翼渦流產生器為具有工業應用價值之設計方案。

    This study provides an in-depth investigation into the design and optimization of heat dissipation fins for high-power servers under forced convection. Unlike traditional incompressible flow assumptions, this study employs a fully compressible flow solver to preserve the physical effects of flow acceleration due to thermal expansion. The simulation utilizes the Building–Cube Method (BCM) with an orthogonal grid structure, combined with the Immersed Boundary Method (IBM) to accurately resolve complex solid boundaries. To comprehensively evaluate thermal-hydraulic performance, inlet velocities of 1 m/s (low-noise/energy-saving mode), 4 m/s (normal operational mode), and 8 m/s (extreme operational mode) were simulated across various fin geometries, including straight fins, wavy fins, offset strip fins (OSF), and delta winglet pairs (VG).
    The results reveal that heat transfer enhancement depends not merely on increased surface area, but heavily on the coupling between micro-flow mechanisms and the operating Reynolds number. Under the low-speed condition of 1 m/s, viscous forces dominate, and complex geometries tend to cause flow stagnation and ineffective pressure drops. Consequently, straight fins with a wider pitch exhibit the best energy efficiency ratio (1.06) by maintaining unobstructed flow channels. Conversely, at 4 m/s, inertial forces trigger significant changes in the flow mechanism. The OSF achieves a high average Nusselt number of 34.2 and a total heat transfer rate exceeding 230 W by continuously restarting the thermal boundary layer; however, its substantial pressure drop of 63 Pa significantly reduces its energy efficiency ratio to 0.76. In contrast, the VG successfully induces strong three-dimensional longitudinal vortices at this higher flow speed, effectively mitigating thermal dead zones while maintaining a low pressure drop (24 Pa) comparable to the baseline model and raising the total heat transfer to 129 W. Consequently, the VG achieves the highest energy efficiency ratio of 1.10 among all configurations, representing the optimal balance between heat transfer enhancement and pumping-power penalty. Finally, under the extreme condition of 8 m/s, this study demonstrates that large-amplitude wavy fins suffer significant flow-induced performance degradation due to severe flow separation, leading to an non-linear increase in pressure drop and a substantially reduced energy efficiency ratio. In contrast, the OSF not only maintains its high heat dissipation capability but also exhibits an acceptable pressure drop penalty. This study concludes that for server cooling designs, OSF represents the most effective solution for extreme heat dissipation, whereas VG represents a promising design solution for maximizing system energy efficiency.

    摘要 I Abstract II 誌謝 X 目錄 XII 表目錄 XV 圖目錄 XVI 符號說明 XVIII 第一章 緒論 1 1.1 研究背景 1 1.2 文獻回顧 2 第二章 物理模型與邊界條件 5 2.1 物理模型 5 2.2 計算域建構與邊界條件設定 8 2.3流場假設與統御方程式 10 2.3.1 流場假設與物性控制 10 2.3.2 統御方程式 (Governing Equations) 12 第三章 數值方法 13 3.1 Building–Cube Method (BCM) 13 3.2 沉浸式邊界法 (Immersed Boundary Method) 15 3.3 全域統一解法 18 3.4 Roe scheme 20 3.4.1 特徵值分解與特徵變數 21 3.4.2 Roe 近似黎曼求解器之構建 21 3.4.3 Roe 平均物理量(Roe-Averaged Variables) 23 3.5 預處理法Preconditioning method與雙時間步階法 24 3.5.1 預處理統御方程式 25 3.5.2 預處理 Roe 格式(Preconditioned Roe Scheme) 26 3.5.3 雙時間步階法與隱式求解(Dual Time Stepping and Implicit Solver) 26 第四章 數值驗證與結果討論 29 4.1數據處理與數值模型驗證 29 4.1.1性能評估指標 29 4.1.2網格獨立性測試 32 4.1.3模擬參數設定 33 4.2低雷諾數下鰭片構型對流場與熱場之影響分析 35 4.2.1不同構型對整體流場特徵之影響 35 4.2.2不同構型對溫度場與熱傳效能之影響 38 4.2.3綜合性能評估與比較 40 4.3中雷諾數下鰭片構型對流場與熱場之影響分析 45 4.3.1不同構型對整體流場特徵之影響 45 4.3.2不同構型對溫度場與熱傳效能之影響 48 4.3.3綜合性能評估與比較 50 4.4 高雷諾數下鰭片構型對流場與熱場之影響分析 55 4.4.1 不同構型對整體流場特徵之影響 55 4.4.2 不同構型對溫度場與熱傳效能之影響 58 4.4.3綜合性能評估與比較 60 第五章 結論與未來展望 65 5.1結論 65 5.2未來展望 66 5.2.1基準模型之工業對標與標準化評估體系建立 67 5.2.2複雜幾何之多目標參數化最佳化設計 67 5.2.3伺服器架構擴展與三維流場效應分析 68 5.2.4真實物理邊界之還原與共軛熱傳(CHT)分析 69 5.2.5 變溫物性耦合與真實氣體效應分析 70 參考文獻 71

    [1] Z. Khattak and H. M. Ali, "Air cooled heat sink geometries subjected to forced flow: A critical review," Int. J. Heat Mass Transf., vol. 130, pp. 141–161, 2019.
    [2] D. B. Tuckerman and R. F. W. Pease, "High-performance heat sinking for VLSI," IEEE Electron Device Lett., vol. 2, no. 5, pp. 126–129, 1981.
    [3] X. Yu, J. Feng, Q. Feng, and Q. Wang, "Development of a plate-pin fin heat sink and its performance comparisons with a plate fin heat sink," Appl. Therm. Eng., vol. 25, no. 2–3, pp. 173–182, 2005.
    [4] W. M. Kays and A. L. London, Compact Heat Exchangers, 3rd ed. New York, NY, USA: McGraw-Hill, 1984.
    [5] R. K. Yadav, R. Basak, and K. M. Pandey, "Review on heat transfer from fins," IOP Conf. Ser.: Mater. Sci. Eng., vol. 225, no. 1, p. 012145, 2017.
    [6] X. Hu, H. Wan, and S. S. Patnaik, "Numerical modeling of heat transfer in open-cell micro-foam with phase change material," Int. J. Heat Mass Transf., vol. 88, pp. 617–626, 2015.
    [7] M. Mokhtari, M. Barzegar Gerdroodbary, R. Yeganeh, and K. Fallah, "Numerical study of mixed convection heat transfer of various fin arrangements in a horizontal channel," Eng. Sci. Technol. Int. J., vol. 20, no. 3, pp. 1106–1114, 2017.
    [8] W. M. Yan and P. J. Sheen, "Heat transfer and friction characteristics of fin-and-tube heat exchangers with wavy fin geometry," Int. J. Heat Mass Transf., vol. 43, no. 6, pp. 1121–1132, 2000.
    [9] C. X. Lin et al., "Wave fins for heat transfer enhancement," Appl. Therm. Eng., vol. 102, pp. 152–161, 2016.
    [10] M. M. Awad et al., "Heat transfer enhancement in wave fins," Exp. Therm. Fluid Sci., vol. 83, pp. 31–39, 2017.
    [11] A. Bejan et al., "Constructal theory of design in engineering and nature," J. Heat Transfer, vol. 123, no. 4, pp. 657–666, 2001.
    [12] H.-W. Tseng, "Evaluation of thermal performance of extruded aluminum fins applied to industrial computer enclosures," M.S. thesis, National Taipei Univ. of Technol., Taipei, Taiwan, 2010.
    [13] Z. L. Lin, "Numerical study of flow and heat transfer in heat sink arrays with varied fin geometries," M.S. thesis, Dept. Mech. Eng., National Cheng Kung Univ., Tainan, Taiwan, 2025.
    [14] A. Bejan and E. Sciubba, "The optimal spacing of parallel plates cooled by forced convection," Int. J. Heat Mass Transf., vol. 35, pp. 3259–3264, 1992.
    [15] G. Wang and S. P. Vanka, "Convective heat transfer in periodic wavy passages," Int. J. Heat Mass Transf., vol. 38, no. 14, pp. 3219–3230, 1995.
    [16] R. M. Manglik and A. E. Bergles, "Heat transfer and pressure drop correlations for the rectangular offset strip fin compact heat exchanger," Exp. Therm. Fluid Sci., vol. 10, no. 2, pp. 171–180, 1995.
    [17] M. Fiebig, "Vortex generators for compact heat exchangers," J. Enhanc. Heat Transf., vol. 5, no. 1, pp. 43–61, 1998.
    [18] T. Colonius, "Modeling artificial boundary conditions for compressible flow," Annu. Rev. Fluid Mech., vol. 36, pp. 315–345, 2004.
    [19] W.-S. Fu, C.-G. Li, C.-P. Huang, and J.-C. Huang, "An investigation of high temperature difference natural convection in a finite length channel without Boussinesq assumption," Int. J. Heat Mass Transf., vol. 52, no. 11–12, pp. 2571–2580, 2009.
    [20] J. D. Anderson, Hypersonic and High Temperature Gas Dynamics. New York, NY, USA: McGraw-Hill, 1989.
    [21] K. Nakahashi and L. Kim, "Building-Cube Method for large-scale, high resolution flow computations," in 42nd AIAA Aerosp. Sci. Meet. and Exhibit, Reston, VA, USA, 2004.
    [22] K. Komatsu et al., "Parallel processing of the Building-Cube Method on a GPU platform," Comput. Fluids, vol. 45, no. 1, pp. 122–128, 2011.
    [23] C.-G. Li et al., "A sharp interface immersed boundary method for thin-walled geometries in viscous compressible flows," Int. J. Mech. Sci., vol. 253, p. 108401, 2023.
    [24] C.-G. Li, M. Tsubokura, and R. Bale, "Framework for simulation of natural convection in practical applications," Int. Commun. Heat Mass Transf., vol. 75, pp. 52–58, 2016.
    [25] P. L. Roe, "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes," J. Comput. Phys., vol. 135, no. 2, pp. 250–258, 1997.
    [26] K. H. Kim and C. Kim, "Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows: Part I: Spatial discretization," J. Comput. Phys., vol. 208, no. 2, pp. 527–569, 2005.
    [27] J. M. Weiss and W. A. Smith, "Preconditioning applied to variable and constant density flows," AIAA J., vol. 33, no. 11, pp. 2050–2057, 1995.
    [28] W. Fu, C. Li, W. Lin, and Y. Chen, "Roe scheme with preconditioning method for large eddy simulation of compressible turbulent channel flow," Int. J. Numer. Methods Fluids, vol. 61, no. 8, pp. 888–910, 2009.
    [29] C.-G. Li, M. Tsubokura, and K. Onishi, "Feasibility investigation of compressible direct numerical simulation with a preconditioning method at extremely low Mach numbers," Int. J. Comput. Fluid Dyn., vol. 28, no. 6–10, pp. 411–419, 2014.
    [30] C. G. Li, "A compressible solver for the laminar–turbulent transition in natural convection with high temperature differences using implicit large eddy simulation," Int. Commun. Heat Mass Transf., vol. 117, p. 104721, 2020.
    [31] R. L. Webb, "Performance evaluation criteria for use of enhanced heat transfer surfaces in heat exchanger design," Int. J. Heat Mass Transf., vol. 24, no. 4, pp. 715–726, 1981.
    [32] R. L. Webb and N.-H. Kim, Principles of Enhanced Heat Transfer, 2nd ed. New York, NY, USA: Taylor & Francis, 2005.
    [33] B. Ren, C. G. Li, and M. Tsubokura, "Direct numerical simulation of vertically heated natural convection over 3D irregular roughness," Comput. Fluids, vol. 257, p. 105866, 2023.
    [34] B. Ren, C. G. Li, and M. Tsubokura, "The effects of irregular roughness with different surface power spectrums on the heat transfer of natural convection in enclosures," Int. Commun. Heat Mass Transf., vol. 141, p. 106581, 2023.

    QR CODE