The Rankine-Kirchhoff approximations for moist thermodynamics

Romps, David M.

doi:10.1002/qj.4154

The Rankine-Kirchhoff approximations for moist thermodynamics

Journal Article · Wed Sep 01 00:00:00 EDT 2021 · Quarterly Journal of the Royal Meteorological Society

DOI:https://doi.org/10.1002/qj.4154· OSTI ID:1818295

^[1]

Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

The Rankine-Kirchhoff equation for the saturation vapor pressure has been derived independently many times, sometimes with the presumption of novelty. As a result, the equation is referred to in the literature by a bewildering number of different names and, often, by no name at all. In this work, the history of the Rankine-Kirchhoff equation is reviewed. The three approximations used to derive it (ideal gas, constant heat capacities, and zero-volume condensates) can be used to derive a whole system of accurate and analytic expressions of relevance to the atmosphere. Consequently, it is proposed that this set of approximations be elevated to a named entity, e.g., the Rankine-Kirchhoff approximations.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Atmospheric Radiation Measurement (ARM) Data Center

Sponsoring Organization:: USDOE Office of Science (SC), Biological and Environmental Research (BER)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1818295

Journal Information:: Quarterly Journal of the Royal Meteorological Society, Journal Name: Quarterly Journal of the Royal Meteorological Society Journal Issue: 740 Vol. 147; ISSN 0035-9009

Publisher:: Royal Meteorological SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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saturation
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The Rankine-Kirchhoff approximations for moist thermodynamics

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