1997
DOI: 10.1119/1.18555
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On the barometric formula

Abstract: The barometric formula, relating the pressure p(z) of an isothermal, ideal gas of molecular mass m at some height z to its pressure p͑0͒ at height zϭ0, is discussed. After a brief historical review, several derivations are given. Generalizations of the barometric formula for a nonuniform gravitational field and for a vertical temperature gradient are also presented. © 1997 American Association of Physics Teachers.

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Cited by 139 publications
(91 citation statements)
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“…Temperature, precipitation, and dew point temperature were scaled by means of the application of daily elevation adjustment rates. Atmospheric pressure is adjusted to different altitudinal planes by applying the following barometric correction (Berberan-Santos et al 1997):…”
Section: Methodsmentioning
confidence: 99%
“…Temperature, precipitation, and dew point temperature were scaled by means of the application of daily elevation adjustment rates. Atmospheric pressure is adjusted to different altitudinal planes by applying the following barometric correction (Berberan-Santos et al 1997):…”
Section: Methodsmentioning
confidence: 99%
“…A relação entre densidade do ar e pressão atmosférica vem da equação do gás ideal: Historicamente, a fórmula barométrica foi deduzida por considerações da hidrostática 6 . A pressão em uma coluna com altura H contendo um gás com comportamento ideal apresenta pressão, numa determinada altura, z, igual a P(z) = P(H) + M(z)g, se z<H. M(z) é a massa do gás por unidade de área desde a altura z até H:…”
Section: Fundamentos Teóricos Parte I: a Fórmula Barométrica (Modelo I)unclassified
“…T 0 e a são independentes da altura. Substituindo a Equação 5 na Equação 4a, se a massa molar e a aceleração da gravidade forem independentes da altura, obtém-se após integração: (6) O termo a não pode ser nulo porque o expoente torna-se indeterminado. Assim, a análise do comportamento de P com o aumento da altura depende somente do sinal de a. Como a temperatura termodinâmica é sempre positiva, o termo entre parênteses é maior ou menor que a unidade, respectivamente, se a for positivo ou negativo.…”
Section: Modelo II -Efeito Da Temperaturaunclassified
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“…Since the SPhR-retrieved air temperature vertical profiles comprise 43 pressure levels that cover the 0.1-1013.3 hPa range [52], the first stage of this operation is the conversion of each coarse-scale pixel's orthometric elevation (increased by 2 m) to pressure level. This process is based on the barometric formula (Equation (1)), which relates the pressure of an isothermal ideal gas at an elevation h to its pressure at the bottom of the atmospheric layer and applies well to the lower troposphere (the estimation error is less than 5% for altitudes ď6 km [54]). The orthometric data are retrieved from SRTM DEM [47].…”
Section: Gfs Nwp Forecast Data Cma Sphrmentioning
confidence: 99%