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bb6ceba4ac
This appears to be critical for work of breathing so it might be worthwhile to compute. So far only in infobox. For background, see https://www.youtube.com/watch?v=QBajM3xmOtc Signed-off-by: Robert C. Helling <helling@atdotde.de>
83 lines
2.4 KiB
C
83 lines
2.4 KiB
C
// SPDX-License-Identifier: GPL-2.0
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/* gas-model.c */
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/* gas compressibility model */
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#include <stdio.h>
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#include <stdlib.h>
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#include "dive.h"
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/* "Virial minus one" - the virial cubic form without the initial 1.0 */
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#define virial_m1(C, x1, x2, x3) (C[0]*x1+C[1]*x2+C[2]*x3)
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/*
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* Z = pV/nRT
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*
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* Cubic virial least-square coefficients for O2/N2/He based on data from
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*
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* PERRY’S CHEMICAL ENGINEERS’ HANDBOOK SEVENTH EDITION
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*
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* with the lookup and curve fitting by Lubomir.
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*
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* The "virial" form of the compression factor polynomial is
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*
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* Z = 1.0 + C[0]*P + C[1]*P^2 + C[2]*P^3 ...
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*
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* and these tables do not contain the initial 1.0 term.
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*
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* NOTE! Helium coefficients are a linear mix operation between the
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* 323K and one for 273K isotherms, to make everything be at 300K.
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*/
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double gas_compressibility_factor(struct gasmix *gas, double bar)
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{
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static const double o2_coefficients[3] = {
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-7.18092073703e-04,
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+2.81852572808e-06,
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-1.50290620492e-09
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};
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static const double n2_coefficients[3] = {
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-2.19260353292e-04,
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+2.92844845532e-06,
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-2.07613482075e-09
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};
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static const double he_coefficients[3] = {
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+4.87320026468e-04,
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-8.83632921053e-08,
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+5.33304543646e-11
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};
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int o2, he;
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double x1, x2, x3;
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double Z;
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o2 = get_o2(gas);
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he = get_he(gas);
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x1 = bar; x2 = x1*x1; x3 = x2*x1;
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Z = virial_m1(o2_coefficients, x1, x2, x3) * o2 +
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virial_m1(he_coefficients, x1, x2, x3) * he +
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virial_m1(n2_coefficients, x1, x2, x3) * (1000 - o2 - he);
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/*
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* We add the 1.0 at the very end - the linear mixing of the
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* three 1.0 terms is still 1.0 regardless of the gas mix.
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*
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* The * 0.001 is because we did the linear mixing using the
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* raw permille gas values.
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*/
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return Z * 0.001 + 1.0;
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}
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/* Compute the new pressure when compressing (expanding) volome v1 at pressure p1 bar to volume v2
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* taking into account the compressebility (to first order) */
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double isothermal_pressure(struct gasmix *gas, double p1, int volume1, int volume2)
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{
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double p_ideal = p1 * volume1 / volume2 / gas_compressibility_factor(gas, p1);
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return p_ideal * gas_compressibility_factor(gas, p_ideal);
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}
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inline double gas_density(struct gasmix *gas, int pressure) {
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int density = gas->he.permille * HE_DENSITY + gas->o2.permille * O2_DENSITY + (1000 - gas->he.permille - gas->o2.permille) * N2_DENSITY;
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return density * (double) pressure / gas_compressibility_factor(gas, pressure / 1000.0) / SURFACE_PRESSURE / 1000000.0;
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}
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