File:Vapor pressure ice supercooled water.svg

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Original file ‎(SVG file, nominally 562 × 337 pixels, file size: 46 KB)

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Summary

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Description
English: Saturation pressure of water vapor with respect to supercooled liquid water (dotted line) and ice (solid line), in the range of -50°C to 0°C.
Date
Source

Own work

Formulae (7) and (10) from D. M. Murphy and T. Koop: "Review of the vapour pressures of ice and supercooled water for atmospheric applications", Q. J. R. Meteorol. Soc. 131 (2005), pp. 1539–1565, doi:10.1256/qj.04.94
Author Földhegy
Other versions
Difference of the two curves
SVG development
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Source code
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Python code

import numpy as np
import matplotlib.pyplot as plt
# Vapor pressure of ice and supercooled water (Temperature T in K)
def p_ice(T):
    return np.exp(9.550426-5723.265/T+3.53068*np.log(T)-0.00728332*T)
def p_liq(T):
    ln_p_liq=54.842763-6763.22/T-4.210*np.log(T)+0.000367*T+np.tanh(0.0415*(T-218.8))*(53.878-1331.22/T-9.44523*np.log(T)+0.014025*T)
    return np.exp(ln_p_liq)

T1=-50
T2=0
ls=np.linspace(T1,T2,500)
fig,ax=plt.subplots(figsize=(7,4.1))
ax.plot(ls,p_ice(ls+273.15),'k-',label='Ice')
ax.plot(ls,p_liq(ls+273.15),'k:',label='Supercooled water')

ax.legend(loc='upper left')
ax.minorticks_on()
ax.grid(alpha=0.3)
ax.set(xlim=(T1,T2))

ax.set_ylabel('Partial pressure of water vapor [Pa]',fontsize=12)
ax.set_xlabel('Temperature [°C]',fontsize=12)
fig.savefig('Vapor_pressure_ice_supercooled_water.svg', format='svg', bbox_inches='tight')

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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Date/TimeThumbnailDimensionsUserComment
current11:51, 2 February 2020Thumbnail for version as of 11:51, 2 February 2020562 × 337 (46 KB)Földhegy (talk | contribs){{Information |description ={{en|1={{w|Vapor pressure|Saturation pressure}} of water vapor with respect to supercooled liquid water (dotted line) and ice (solid line).}} |date =2020-01-02 |source ={{own}} |author ={{u|Földhegy}} }}

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