Koutsoyiannis has just derived a formula for calculating saturation steam stress out of water according to the Clausius–Clapeyron equation and you can indicated that the new www.datingranking.net/fr/rencontres-detenu-fr/ cousin variation regarding reference datasets are short regarding ?40° to help you fifty°C (Koutsoyiannis 2012)
There’s been much browse on the formulating the saturation vapor pressure. Bosen provided an algorithm for calculating the newest saturation vapor pressure out of drinking water which have reasonable reliability on temperatures are normally taken for ?51.1° to 54.4°C (Bosen 1960). Langlois build an excellent fractional formula getting calculating the saturation vapor tension from liquids and you may opposed the outcome on noticed values within the Byers (1959) together with algorithm in the Berry et al. (1945). The newest commission mistake vs the newest observations are found to be reduced than 0.5% across the heat range of 0°–35°C (Langlois 1967). Richards derived a four-education polynomial to the saturation vapor tension from h2o in the heat range between ?50° to 140°C (Richards 1971). Tabata ideal an excellent quadratic formula you to yielded new saturation vapor tension having a mean percentage error out of 0.17% inside temperature are priced between 0° so you can thirty-five°C (Tabata 1973). Lowe offered a sixth-education polynomial algorithm to have calculating the new saturation steam tension off water off ?50° so you’re able to 50°C and you may examined they resistant to the Goff’s formula. The outcomes showed that the precision is very high (Lowe 1977). Rasmussen showed a four-degree polynomial and a 6th-education polynomial to own figuring the brand new saturation vapor tension over water (away from ?50° to fifty°C) as well as over freeze (out of ?50° to 0°C) and something five-studies polynomial with the saturation vapor stress more than ice. The utmost relative mistake is very low (Rasmussen 1978). Gueymard made use of a minimum squares method to obtain around three algorithms to own this new saturation steam stress more drinking water and you will opposed the determined overall performance into the the new ASHRAE resource research. It actually was revealed these three algorithms you will estimate this new saturation vapor pressure that have high accuracy (Gueymard 1993). Sanjari suggested a nonlinear picture having calculating the latest saturation steam stress regarding 75 sheer substances that with multiple regression studies, and you may analysis of the calculated show additionally the data in the literary works showed that the fresh new mean cousin departure was about 0.1% having liquid (Sanjari 2013). The warmth range wasn’t considering inside the Sanjari (2013).
Buck made use of good minimax fitted process over the temperature range of most interest in meteorology and derived two equations having calculating the new saturation vapor tension from h2o (out-of ?20° in order to 50°C) and of freeze (from ?50° in order to 0°C), respectively (Dollar 1981)
The above-stated formulas will always be cutting-edge. Certain experts made various tries to establish simple equations suited for the brand new reference studies in the form of regression research. Tetens recommended a few quick formulas, certainly one of that was of Magnus means, to own measuring the brand new saturation steam stress away from h2o as well as freeze (Tetens 1930). The newest vapor tension philosophy given by that it algorithm was appropriate for extremely meteorological purposes (Murray 1967), although cousin error provided with the newest Tetens algorithm improved having ). In particular, in the temperature less than ?25°C brand new problems was basically over 1% (Murray 1967). Bolton introduced an empirical algorithm to the saturation steam pressure from water and you can indexed your error are 0.4% over the temperatures are priced between ?35° so you can thirty five°C (Bolton 1980). Alduchov and you can Eskridge generated a accessibility a keen iterative process and you will minimum squares approach to optimize the newest coefficients of your Magnus formula and recommended a couple equations to have figuring the latest saturation vapor stress more liquids (of ?40° so you can 50°C) as well as ice (of ?80° to help you 0°C), correspondingly. These equations produced restriction cousin error away from less than 0.384% and you may 0.213%, respectively (Alduchov and you may Eskridge 1996). Leckner determined the fresh new saturation steam pressure from liquids using a simple rapid form (Leckner 1978). Stephens projected the new saturation steam stress away from water that with an effective simple formula that has been according to the Clausius–Clapeyron picture (Stephens 1990).