Koutsoyiannis recently derived an equation getting calculating saturation steam pressure out-of liquids in line with the Clausius–Clapeyron formula and you will showed that the brand new cousin differences on the site datasets was short of ?40° so you’re able to fifty°C (Koutsoyiannis 2012)
There’ve been far lookup into creating the saturation steam pressure. Bosen offered an algorithm for calculating this new saturation vapor pressure out of h2o with sensible reliability from the heat range from ?51.1° so you can 54.4°C (Bosen 1960). Langlois arranged a good fractional algorithm getting computing the brand new saturation vapor tension off liquid and you will opposed the outcomes towards noticed beliefs from inside the Byers (1959) while the algorithm inside the Berry ainsi que al. (1945). The fresh new percentage mistake compared to this new findings try discovered to be shorter than 0.5% along side temperatures set of 0°–35°C (Langlois 1967). Richards derived a several-studies polynomial towards saturation steam pressure from drinking water within the temperature are normally taken for ?50° to 140°C (Richards 1971). Tabata suggested good quadratic formula one to produced brand new saturation vapor pressure having a hateful fee mistake of 0.17% for the temperatures consist of 0° so you can 35°C (Tabata 1973). Lowe provided a 6th-knowledge polynomial algorithm to have computing the newest saturation vapor stress regarding water off ?50° in order to fifty°C and you may analyzed it resistant to the Goff’s equation. The outcome indicated that the accuracy was very high (Lowe 1977). Rasmussen demonstrated a beneficial five-training polynomial and you can a 6th-training polynomial having calculating the latest saturation vapor pressure more h2o (off ?50° so you’re able to fifty°C) and over frost (out-of ?50° in order to 0°C) and one four-education polynomial towards the saturation steam stress more than freeze. The maximum relative error was low (Rasmussen 1978). Gueymard utilized a least squares method to obtain three formulas getting the fresh new saturation steam tension over liquid and you may compared brand new determined performance with the the fresh ASHRAE https://datingranking.net/de/partnervermittlung/ source research. It had been revealed these about three algorithms you will estimate brand new saturation steam stress with higher accuracy (Gueymard 1993). Sanjari recommended an effective nonlinear formula to possess figuring new saturation steam stress of 75 pure substances that with several regression study, and you will analysis of one’s determined results plus the data on the literary works revealed that the fresh imply relative deviation involved 0.1% having liquid (Sanjari 2013). Heat diversity was not provided within the Sanjari (2013).
Dollars made use of a good minimax fitted techniques over the heat directory of extremely need for meteorology and derived one or two equations having calculating the newest saturation vapor pressure out of water (from ?20° so you’re able to 50°C) and of ice (from ?50° in order to 0°C), correspondingly (Dollars 1981)
The above mentioned-said algorithms are cutting-edge. Particular scientists produced various tries to expose easy equations suited for the fresh new resource analysis by means of regression data. Tetens proposed a couple of quick formulas, certainly one of which was of the Magnus mode, for measuring the latest saturation steam tension out-of liquid and of frost (Tetens 1930). The fresh new steam tension opinions supplied by which formula was appropriate for really meteorological purposes (Murray 1967), but the cousin error provided with the brand new Tetens algorithm enhanced which have ). In particular, from the heat lower than ?25°C the fresh problems had been significantly more than step 1% (Murray 1967). Bolton introduced an empirical formula into saturation steam tension regarding water and you will listed the mistake was 0.4% over the temperatures may include ?35° in order to thirty five°C (Bolton 1980). Alduchov and Eskridge generated a beneficial access to an iterative process and you will the very least squares method to enhance the fresh coefficients of Magnus formula and you will demanded a few equations to have figuring the fresh new saturation steam tension over liquid (away from ?40° in order to fifty°C) and over frost (away from ?80° in order to 0°C), respectively. Both of these equations produced maximum cousin error from lower than 0.384% and 0.213%, correspondingly (Alduchov and you will Eskridge 1996). Leckner calculated the fresh new saturation steam pressure off h2o playing with an easy rapid setting (Leckner 1978). Stephens projected the newest saturation steam tension off water by using an excellent effortless algorithm which was in line with the Clausius–Clapeyron equation (Stephens 1990).
