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author | Dirk Hohndel <dirk@hohndel.org> | 2016-04-04 22:02:03 -0700 |
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committer | Dirk Hohndel <dirk@hohndel.org> | 2016-04-04 22:33:58 -0700 |
commit | 7be962bfc2879a72c32ff67518731347dcdff6de (patch) | |
tree | d05bf7ab234a448ee37a15b608e2b939f2285d07 /core/compressibility.r | |
parent | 2d760a7bff71c46c5aeba37c40d236ea16eefea2 (diff) | |
download | subsurface-7be962bfc2879a72c32ff67518731347dcdff6de.tar.gz |
Move subsurface-core to core and qt-mobile to mobile-widgets
Having subsurface-core as a directory name really messes with
autocomplete and is obviously redundant. Simmilarly, qt-mobile caused an
autocomplete conflict and also was inconsistent with the desktop-widget
name for the directory containing the "other" UI.
And while cleaning up the resulting change in the path name for include
files, I decided to clean up those even more to make them consistent
overall.
This could have been handled in more commits, but since this requires a
make clean before the build, it seemed more sensible to do it all in one.
Signed-off-by: Dirk Hohndel <dirk@hohndel.org>
Diffstat (limited to 'core/compressibility.r')
-rw-r--r-- | core/compressibility.r | 115 |
1 files changed, 115 insertions, 0 deletions
diff --git a/core/compressibility.r b/core/compressibility.r new file mode 100644 index 000000000..66310f3aa --- /dev/null +++ b/core/compressibility.r @@ -0,0 +1,115 @@ +# Compressibility data gathered by Lubomir I Ivanov: +# +# "Data obtained by finding two books online: +# +# [1] +# PERRY’S CHEMICAL ENGINEERS’ HANDBOOK SEVENTH EDITION +# pretty serious book, from which the wiki AIR values come from! +# +# http://www.unhas.ac.id/rhiza/arsip/kuliah/Sistem-dan-Tekn-Kendali-Proses/PDF_Collections/REFERENSI/Perrys_Chemical_Engineering_Handbook.pdf +# page 2-165 +# +# [*](Computed from pressure-volume-temperature tables in Vasserman monographs) +# ^ i have no idea idea what this means, but the values might not be exactly +# experimental?! +# +# the only thing this book is missing is helium, thus [2]! +# +# [2] +# VOLUMETRIC BEHAVIOR OF HELIUM-ARGON MIXTURES AT HIGH PRESSURE AND MODERATE TEMPERATURE. +# +# https://shareok.org/bitstream/handle/11244/2062/6614196.PDF?sequence=1 +# page 108 +# +# +# the book has some tables with pressure values in atmosphere units. i'm +# converting them bars. one of the relevant tables is for 323K and one for 273K +# (both almost equal distance from 300K). +# +# this again is a linear mix operation between isotherms, which is probably not +# the most accurate solution but it works. +# +# all data sets contain Z values at 300k, while the pressures are in bars in +# the 1 to 500 range +# +# + +x = c(1, 5, 10, 20, 40, 60, 80, 100, 200, 300, 400, 500) +o2 = c(0.9994, 0.9968, 0.9941, 0.9884, 0.9771, 0.9676, 0.9597, 0.9542, 0.9560, 0.9972, 1.0689, 1.1572) +n2 = c(0.9998, 0.9990, 0.9983, 0.9971, 0.9964, 0.9973, 1.0000, 1.0052, 1.0559, 1.1422, 1.2480, 1.3629) +he = c(1.0005, 1.0024, 1.0048, 1.0096, 1.0191, 1.0286, 1.0381, 1.0476, 1.0943, 1.1402, 1.1854, 1.2297) + +options(digits=15) + +# +# Get the O2 virial coefficients +# +plot(x,o2) +o2fit = nls(o2 ~ 1.0 + p1*x + p2 *x^2 + p3*x^3, start=list(p1=0,p2=0,p3=0)) +summary(o2fit) + +new = data.frame(x = seq(min(x),max(x),len=200)) +lines(new$x,predict(o2fit,newdata=new)) + +# +# Get the N2 virial coefficients +# +plot(x,n2) +n2fit = nls(n2 ~ 1.0 + p1*x + p2 *x^2 + p3*x^3, start=list(p1=0,p2=0,p3=0)) +summary(n2fit) + +new = data.frame(x = seq(min(x),max(x),len=200)) +lines(new$x,predict(n2fit,newdata=new)) + +# +# Get the He virial coefficients +# +# NOTE! This will not confirm convergence, thus the warnOnly. +# That may be a sign that the data is possibly artificial. +# +plot(x,he) +hefit = nls(he ~ 1.0 + p1*x + p2 *x^2 + p3*x^3, + start=list(p1=0,p2=0,p3=0), + control=nls.control(warnOnly=TRUE)) +summary(hefit) + +new = data.frame(x = seq(min(x),max(x),len=200)) +lines(new$x,predict(hefit,newdata=new)) + +# +# Raw data from VOLUMETRIC BEHAVIOR OF HELIUM-ARGON MIXTURES [..] +# T=323.15K (50 C) +p323atm = c(674.837, 393.223, 237.310, 146.294, 91.4027, 57.5799, 36.4620, 23.1654, 14.7478, 9.4017, 5.9987, 3.8300, + 540.204, 319.943, 195.008, 120.951, 75.8599, 47.9005, 30.3791, 19.3193, 12.3080, 7.8495, 5.0100, 3.1992) + +Hez323 = c(1.28067, 1.16782, 1.10289, 1.06407, 1.04028, 1.02548, 1.01617, 1.01029, 1.00656, 1.00418, 1.00267, 1.00171, + 1.22738, 1.13754, 1.08493, 1.05312, 1.03349, 1.02122, 1.01349, 1.00859, 1.00548, 1.00349, 1.00223, 1.00143) + + +# T=273.15 (0 C) +p273atm = c(683.599, 391.213, 233.607, 143.091, 89.0521, 55.9640, 35.3851, 22.4593, 14.2908, 9.1072, 5.8095, 3.7083, + 534.047, 312.144, 188.741, 116.508, 72.8529, 45.9194, 29.0883, 18.4851, 11.7702, 7.5040, 4.7881, 3.0570) + +Hez273 = c(1.33969, 1.19985, 1.12121, 1.07494, 1.04689, 1.02957, 1.01874, 1.01191, 1.00758, 1.00484, 1.00309, 1.00197, + 1.26914, 1.16070, 1.09837, 1.06118, 1.03843, 1.02429, 1.01541, 1.00980, 1.00625, 1.00398, 1.00254, 1.00162) + +p323 = p323atm * 1.01325 +p273 = p273atm * 1.01325 + +x2=append(p323,p273) +he2=append(Hez323,Hez273) + +plot(x2,he2) + +hefit2 = nls(he2 ~ 1.0 + p1*x2 + p2*x2^2 + p3*x2^3, + start=list(p1=0,p2=0,p3=0)) +summary(hefit2) + +he3 = function(bar) +{ + 1.0 +0.00047961098687979363 * bar -0.00000004077670019935 * bar^2 +0.00000000000077707035 * bar^3 +} + +new = data.frame(x2 = seq(min(x2),max(x2),len=200)) +lines(new$x2,predict(hefit2,newdata=new)) +curve(he3, min(x2),max(x2),add=TRUE) |