基于牛頓迭代法高溫光譜溫度和發(fā)射率的反演研究
發(fā)布時間:2018-01-31 14:05
本文關(guān)鍵詞: 溫度反演 材料發(fā)射率 牛頓迭代法 高溫光譜 出處:《光譜學(xué)與光譜分析》2017年05期 論文類型:期刊論文
【摘要】:針對基于光譜數(shù)據(jù)進(jìn)行溫度與發(fā)射率分離過程中存在的n個方程包含n+1個未知數(shù)這一欠定問題,提出利用牛頓迭代法來實(shí)現(xiàn)材料表面真溫及發(fā)射率的反演計(jì)算,通過給定溫度和發(fā)射率初值,利用泰勒級數(shù)的線性項(xiàng)建立迭代公式,通過迭代得到溫度和發(fā)射率的近似解。分別利用理論熱輻射譜和腔黑體的實(shí)驗(yàn)數(shù)據(jù)進(jìn)行驗(yàn)證,結(jié)果表明,任意給定溫度和發(fā)射率初值均可獲得與真實(shí)溫度接近的計(jì)算溫度值,相對誤差小于0.09。發(fā)射率反演結(jié)果與真實(shí)發(fā)射率線形一致,當(dāng)溫度和發(fā)射率初值越接近真實(shí)溫度和發(fā)射率時,發(fā)射率反演結(jié)果越精確。該方法消除了發(fā)射率假定模型限制,有望應(yīng)用于高溫及超高溫下各種材料真實(shí)溫度和光譜發(fā)射率研究。
[Abstract]:In the process of temperature and emissivity separation based on spectral data, n equations contain n 1 unknown number. Newton iteration method is used to calculate the true temperature and emissivity of the material surface. The iterative formula is established by using the linear term of Taylor series through the initial values of given temperature and emissivity. The approximate solutions of temperature and emissivity are obtained by iteration. The experimental data of theoretical thermal radiation spectrum and cavity blackbody are used to verify the results. At any given temperature and initial emissivity, the calculated temperature values close to the real temperature can be obtained, and the relative error is less than 0.09.The result of emissivity inversion is consistent with the true emissivity line shape. When the initial values of temperature and emissivity are closer to the real temperature and emissivity, the inversion results of emissivity are more accurate. This method eliminates the limitation of the assumed emissivity model. It is expected to be applied to the study of real temperature and spectral emissivity of various materials at high and ultra high temperatures.
【作者單位】: 長春理工大學(xué)理學(xué)院;西安應(yīng)用光學(xué)研究所;
【分類號】:O433.1
【正文快照】: 引言多光譜輻射測溫屬于非接觸測溫,因其精度高,不受物質(zhì)狀態(tài)、氣氛及等離子體干擾而具有廣泛應(yīng)用。光譜測溫建立的理論基礎(chǔ)是普朗克定律,但在應(yīng)用中涉及到實(shí)際物體的發(fā)射率,而實(shí)際物體的發(fā)射率表現(xiàn)復(fù)雜,給深入研究和實(shí)際應(yīng)用帶來了很多困難和不確定性,發(fā)射率問題成為輻射測溫
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