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研究生: 池逸華
Chr, Yi-Hau
論文名稱: 鋼材放射率行為之實驗研究與線性及對數線性放射率模組在多光譜輻射測溫法之應用
Experimental Investigation of Steel Emissivity Behaviors and Temperature Determination Using Multispectral Radiation Thermometry with Linear and Log-Linear Emissivity Models
指導教授: 溫昌達
Wen, Chang-Da
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: 2008
畢業學年度: 96
語文別: 中文
論文頁數: 84
中文關鍵詞: 放射率多光譜輻射測溫法
外文關鍵詞: steel, emissivity, multispectral radiation thermometry
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  • 本研究首先是透過實驗來探討不鏽鋼(AISI410、AISI420、AISI630)與工具鋼(H12、A6)表面光譜放射率隨著波長、溫度、合金成份與加熱時間的變化。吾人發現:(1)波長在3μm ~ 4.8μm的範圍內,光譜放射率有隨波長增加而降低之趨勢;(2)鋼材表面光譜放射率有隨溫度增加而上升之趨勢;(3)鋼材含鉻量越高時,其表面放射率也越低;(4)鋼材在加熱4小時後,由於氧化層成長趨於緩和,以至於光譜放射率趨於穩定。
    接著應用多光譜輻射測溫法(MRT),搭配線性放射率模組(LEM)與對數線性放射率模組(LLE)來預測鋼材表面的溫度。吾人利用增加求解波長數、加熱時間、增加放射率模組中的階數等因子,來探討能否有效提升預測溫度的精確性。吾人發現:(1)增加求解波長數與加熱時間,並無法改善溫度誤差;(2)增加線性放射率模組與對數線性放射率模組中的階數,並無法有效降低溫度誤差;(3)線性與對數線性放射率模組,分別在700K與900K,可獲得較佳的溫度預測;(4)整體來看,一階線性放射率模組與一階對數線性放射率模組,對不同合金成份與溫度,預測效果最好;(5)當放射率模組越能模擬鋼材表面放射率行為,所推測的溫度誤差也越小。

    In this study, experiments were first conducted to investigate stainless steel and tool steel spectral emissivity which is varied with wavelength, temperature, alloy composition and heating time. Results show that (1)the spectral emissivity increases with increasing wavelength from 3μm to 4.8μm;(2)the spectral emissivity increases with increasing temperature;(3)steel with higher chromium constituent has lower emissivity value;(4)the spectral emissivity reaches steady state after the fourth hour heating due to the surface oxidation becoming fully developed.
    Multispectral radiation thermometry (MRT) with linear emissivity models (LEM) and log-linear emissivity models (LLE) were then applied to predict the sample surface temperature. The effects of wavelength number, heating time and order of emissivity models were also examined. Results show that (1)increasing either wavelength number or heating time can not improve measurement accuracy;(2)increasing order does not decrease temperature error for both LEM and LLE;(3)overall, LEM at 700 K and LLE at 900 K showed better performance;(4)the first-order LEM and the first-order LLE showed the best overall accuracy for different alloys and temperatures;(5)the better emissivity model to suitably represent the real surface emissivity behaviors, the more accurate inferred temperature by MRT.

    目 錄 摘要 i Abstract ii 誌謝 iii 目錄 iv 表目錄 vii 圖目錄 viii 符號說明 x 第一章 緒論 1-1研究動機 1 1-2研究目的 2 1-3文獻回顧 3 1-4本文架構 5 第二章 實驗設備 2-1紅外線光譜儀 6 2-1-1紅外線光譜儀偵測範圍 7 2-2加熱系統 7 2-3鋼 8 2-3-1鋼材表面形貌與粗糙度 9 2-4紅外線光譜儀的校正 9 2-5實驗流程 10 第三章 理論基礎與數值分析 3-1熱輻射基礎理論 11 3-2輻射測溫法的基礎理論 12 3-3輻射測溫法的分類 15 3-3-1單光譜輻射測溫法 15 3-3-2雙波長輻射測溫法 16 3-3-3多光譜輻射測溫法 18 3-4數值分析方法 19 3-4-1最小平方法的應用 20 3-4-2線性最小平方法的應用 21 3-4-3擬線性最小平方法的應用 24 第四章 放射率的實驗結果及多光譜輻射測溫法的分析應用 4-1鋼材放射率的探討與研究 27 4-1-1波長的影響 28 4-1-2溫度的影響 28 4-1-3合金成分的影響 29 4-1-4加熱時間的影響 30 4-2多光譜輻射測溫法的溫度誤差分析 31 4-2-1增加求解波長個數的影響 32 4-2-2增加放射率模組中的階數 33 4-2-3加熱溫度的影響 34 4-2-4加熱時間的影響 34 第五章 結論與未來展望 5-1鋼材表面放射率的特徵 36 5-2多光譜輻射測溫法的分析 37 5-3未來展望 38 參考文獻 39 表目錄 表1.1 利用多光譜輻射測溫法所預測出的結果 43 表1.2 利用LEM與LLE推測HSLA、LC、MLS與ULC的表面溫度 44 表2.1 鋼材的化學成份(此鋼材為榮剛材料科技股份有限公司所提供) 45 表2.2 鋼材的應用範圍 46 表3.1 在不同階數下的線性與對數線性放射率模組的數學形式,及所需要求解的最小波長個數 47 表3.2 線性與對數線性放射率模組,在數值分析上相異之處 48 表4.1 利用多光譜輻射測溫法搭配對數線性與線性放射率模組,所推測出的溫度誤差百分比 49 表4.2 針對不同溫度與合金成分,在分析上所獲得最佳的放射率模 50 表4.3 波長在2μm至4.8μm的範圍中,增加波長個數對於溫度誤差的影響 51 表4.4 利用一階對數線性與線性放射率模組,推測最初溫度達到穩定的狀態與加熱4~7小時的溫度誤差百分比 52 圖目錄 圖2.1 實驗架構配置圖 53 圖2.2 聚焦筒(Focus tube)外觀基本構造圖 54 圖2.3 狹縫(Slit)尺寸與目標物(Target)最小所需的尺寸大小 55 圖2.4 加熱系統分解圖及其尺寸大小 56 圖2.5 高解析掃瞄電子顯微鏡在40放大倍率下,觀察鋼材表面形貌 57 圖2.6 鋼材表面粗糙度 58 圖2.7 Planck光譜分佈與利用紅外線光譜儀所測量出的輻射強度 59 圖3.1 在相同溫度下,黑體與真實表面所放射出的光譜放射功率 60 圖3.2 紅外線光譜儀所偵測到的輻射強度 61 圖3.3 環境(300K)與不同表面溫度在不同溫度下,所放射出的輻射強度的比值 62 圖3.4 Planck分佈與Wien定律的光譜放射功率 63 圖3.5 多光譜輻射測溫法(MRT)的流程示意圖 64 圖4.1 在不同溫度下鋼材表面放射率的分佈 65 圖4.2 A-series(鋼材)在氧化(739K)與未氧化(768K)情況下,光譜放射率的分佈 66 圖4.3 溫度在700K下,不同合金成分對放射率的影響 67 圖4.4 放射率在波長3.5μm隨加熱時間的變化 68 圖4.5 分析AISI410的溫度誤差(應用不同階數下的對數線性與線性放射率模組) 69 圖4.6 AISI410在700K,利用線性放射率模組(LEM),所得到的輻射強度值 70 圖4.7 AISI410在700K時,利用線性放射率模組(LEM),所得到的放射率 71 圖4.8 在不同加熱溫度與放射率模組,所分析出的平均誤差 72 圖4.9 加熱溫度對一階對數線性與線性放射率模組的影響 73 圖4.10 鋼材表面溫度在800K與900K,應用一階對數線性與線性放射率模組,推測不鏽鋼(Stainless steel)與工具鋼(Tool steel )的平均溫度誤差 74 圖4.11 應用一階線性與對數線性放射率模組,預測AISI410、AISI420與A6放射率達到穩定時,隨加熱時間的溫度誤差變化 75 附錄 76

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