最近30从www.hoelymoley.com 2023 - 07 - 07 - t16:57:45z //www.hoelymoley.com/feeds/question/20577 https://creativecommons.org/licenses/by-sa/4.0/rdf //www.hoelymoley.com/q/20577 8 大流士V。 //www.hoelymoley.com/users/21492 2020 - 12 - 14 - t15:31:50z 2021 - 10 - 16 - t09:46:17z

< p >我想找到一个公式来近似RH基于已知< em >空气温度< / em >和< em >露点< / em >。我需要之间的近似有效至少-20…+ 40摄氏度。我读了接受答案< a href = " //www.hoelymoley.com/questions/16570/how-to-calculate-relative-humidity-from-temperature-dew-point-and-pressure " > < / >这个问题,但不幸的是< / p > < ul > <李>的链接文档的列表值从不再检索工作< /李> <李>使用这些值产生奇怪的结果。我试过(RH常数的公式表的第一行)与T = 16.15和TD(露点)= -4.45,让215% RH(可能是<跨类= " math-container " > 100 ^ {m *……}$ < / span >而不是< span class = " math-container " > 100 * 10 ^ {m *…} $ < / span > ?…) < /李> < / ul > < p >任何帮助,我们将不胜感激。谢谢。< / p > < p > <强>更新< /强> < / p > < p > @BarocliniCplusplus感谢他的回答。如果有人读这需要实现在Python中近似RH,这里有一个:< / p > < pre > <代码> RH = 100 * (math.exp ((17.625 * TD) / (243.04 + TD)) / math.exp ((17.625 * T) / (243.04 + T))) < /代码> < / pre > < p > T是温度在摄氏度,和TD露点摄氏度。这个近似来源于“Conclusions"部分< a href = " https://journals.ametsoc.org/view/journals/apme/35/4/1520 - 0450 _1996_035_0601_imfaos_2_0_co_2.xml”rel = " nofollow noreferrer " >这篇文章< / >,建议使用时的相对误差0.384%或更少-40°C至50°C . < / p >

//www.hoelymoley.com/questions/20577/-/20578 # 20578 8 BarocliniCplusplus //www.hoelymoley.com/users/704 2020 - 12 - 14 - t16:54:38z 2020 - 12 - 14 - t16:54:38z

< p >的方程相对湿度<跨类= " math-container " > $ $ RH = 100 \ \压裂{e} {e_s (T)} = 100 \ \压裂{e_s (T_d)} {e_s (T)} \标记{1}$ $ < / span >, < span class = " math-container " > T_d < / span >是美元露点温度和<跨类= " math-container " > T < / span >是美元温度,< span class = " math-container " > e < / span >美元是水的蒸汽压,和<跨类= " math-container " > e_s < / span >美元是饱和蒸气压,也称为< a href = " https://glossary.ametsoc.org/wiki/Clausius-clapeyron_equation " rel = " noreferrer " >克劳修斯Clapeyeron方程。< / >,而前面的链接有一个像样的定义和方程,我喜欢方程(特别是因为它是可诱导的)是< a href = " https://en.wikipedia.org/wiki/Clausius%E2%80%93Clapeyron_relation # Ideal_gas_approximation_at_low_temperatures”rel = " noreferrer " >低温近似< / >:< / p > < p > <跨类= " math-container " > $ $ e_s (T) = e_s (273 \ mathrm {K})左\ exp \[\压裂{L_v} {R_v} \离开(273.15 ^ {1}- T ^{2} \) \右]\标记{2}$ $ < / span >, < span class = " math-container " > T < / span >是美元开尔文温度和露点温度<强> < /强>,< span class = " math-container " > L_v美元< / span >是< a href = " https://glossary.ametsoc.org/wiki/Latent_heat " rel = " noreferrer " >汽化潜热< / >、< span class = " math-container " > e_s美元(273 \ mathrm {K}) = 6.11美元hPa < / span >,和<跨类= " math-container " > R_v美元< / span >是< a href = " https://glossary.ametsoc.org/wiki/Gas_constant " rel = " noreferrer " >特定气体常数水蒸气< / >。注意,< span class = " math-container " > (2) < / span >美元是液态水。你可以替换< span class = " math-container " > L_v < / span >美元为<跨类= " math-container " > L_s < / span >美元升华/沉积。还请注意,这是“pure"相对湿度方程的形式。< a href = " https://en.wikipedia.org/wiki/Raoult%27s_law " rel = " noreferrer " >的存在溶质< / > (< a href = " https://en.wikipedia.org/wiki/Cloud_condensation_nuclei " rel = " noreferrer " >云凝结核< / >)可能更低的饱和蒸汽压,增加实际相对湿度。我会让结合< span class = " math-container " >(1)美元< / span >和<跨类= " math-container " > (2) < / span >美元留给读者的一个练习。< / p >

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