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露点温度和湿球温度计算公式
已知湿球温度和露点温度是40°C,相对湿度为50%,实际地面压力是3毫巴。
T = 40°C Rh = 50% Psta = 3 hPA
在公式中替换给定值 |
饱和蒸汽压 (es) 计算
es = 6.112 x e(17.67x40)/(40+243.5)
es = 6.112 x e2.493121693
es = 73.9490
蒸汽压力(e) 计算 e = (73.9490 x 50)/100 e = 3697.45/100 e = 36.9745
露点温度计算
Td=[243.5xln(36.9745/6.112)]/[17.67-ln(36.9745/6.112)]
Td=438.2938/15.87
Td=27.6177°C
在公式中替换给定值
Ewg = 6.112 x e(17.67xTw)/(Tw+243.5)
eg = Ewg - Psta x (T - Tw) x 0.00066 x (1 + (0.00115 x Tw)) Tw = ΣN ∀ Ed ≠ 0 Ed = e - eg 这里:Tw = 湿球温度 , T=温度,Psta=实际地面压力, e = 蒸汽压力, Ed = 蒸汽压差, N = 增量10和连续的 Ed是相反的符号, 增量除以10.其达到 Ed 是零或绝对值 Ed 是大于 0.05 |
蒸汽压力 (e) 计算露点温度计算得到的蒸汽压力 (e) 值是, 36.9745
湿球温度计算
Tw | = 0 | |
Ewg | = 6.112 x e(17.67x0)/(0+243.5) | = 6.112 |
eg | = 6.112 - 3x(40-0) x 0.00066 x (1+(0.00115 x 0)) | = 6.0328 |
Tw | = 10 | |
Ed | = 36.9745 - 6.0328 | = 30.9417 |
Tw | = 20 | |
Ewg | = 6.112 x e(17.67x20)/(20+243.5) | = 23.3695 |
eg | =23.3695-3x(40-20) x0.00066x(1+(0.00115x20)) | =23.329 |
Tw | = 20 + 10 | = 30 |
Ed | = 36.9745 - 23.329 | = 13.6455 |
Tw | = 27.65 | |
Ewg | = 6.112 x e(17.67x27.65)/(27.65+243.5) | =37.0444 |
eg | =37.0444-3x(40-27.65)x0.00066x(1+(0.00115x27.65)) | =37.0192 |
Tw | = 27.65 - 0.01 | =27.64 |
Ed | = 36.9745 - 37.0192 | =-0.0447 |
在这个迭代 17 Ed 值小于0.05, 所以停止迭代。最后 Tw 是 27.64°C.
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网友[匿名]评论:谢谢分享,但湿球温度计算是否有误?迭代最后还是露点温度。—2018-04-25 22:59:11