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Merge pull request #96 from bjodah/surf
Homogenous treatment of multiphase systems
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{ | ||
"cells": [ | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"This notebook shows how to treat surface reactions in reacting systems where diffusion is a much faster process in comparison to the chemical reactions (surface is treated as a \"homogenized\" concentration)." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"import matplotlib.pyplot as plt\n", | ||
"from collections import defaultdict\n", | ||
"from chempy import ReactionSystem, Species, Reaction\n", | ||
"from chempy.units import to_unitless, SI_base_registry, rescale, default_constants as const, default_units as u\n", | ||
"from chempy.kinetics.ode import (\n", | ||
" _create_odesys as create_odesys,\n", | ||
")\n", | ||
"%matplotlib inline" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"ads_token = '(ads)'\n", | ||
"phases = {'(aq)': 0, ads_token: 1}\n", | ||
"ads_comp = -1\n", | ||
"vacancy = Species('vacancy(ads)', composition={ads_comp: 1},\n", | ||
" phase_idx=phases[ads_token], latex_name='vacancy(ads)')\n", | ||
"\n", | ||
"def substance_factory(name):\n", | ||
" if name == vacancy.name:\n", | ||
" return vacancy\n", | ||
" s = Species.from_formula(name, phases=phases)\n", | ||
" if name.endswith(ads_token):\n", | ||
" s.composition[ads_comp] = 1\n", | ||
" return s\n", | ||
"\n", | ||
"rsys = ReactionSystem.from_string(\"\"\"\n", | ||
"vacancy(ads) + H2O2 -> H2O2(ads); 'k_ads_H2O2'\n", | ||
"H2O2(ads) + vacancy(ads) -> 2 OH(ads); 'k_split_H2O2ads'\n", | ||
"OH(ads) + H2O2 -> H2O + HO2 + vacancy(ads); 'k_abst_OHads_H2O2'\n", | ||
"HO2 + HO2 -> O2 + H2O2; 'k_disprop_HO2'\n", | ||
"\"\"\", substance_factory=substance_factory)\n", | ||
"rsys" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"ureg = SI_base_registry.copy()\n", | ||
"ureg['length'] = u.dm\n", | ||
"odesys, odesys_extra = create_odesys(rsys, unit_registry=ureg)" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"powder_mass = 42*u.g\n", | ||
"specific_surf_area = 35*u.m**2/u.g # e.g. from BET\n", | ||
"sample_volume = 250*u.cm3\n", | ||
"surf_volume_ratio = powder_mass*specific_surf_area/sample_volume\n", | ||
"\n", | ||
"adsorption_cross_section = 0.162*u.nm**2 # N2 at 77K on active carbon\n", | ||
"conc_vacancy = rescale(surf_volume_ratio/(adsorption_cross_section * const.Avogadro_constant), u.molar)\n", | ||
"conc_vacancy" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"c0 = defaultdict(lambda: 0*u.M, H2O2=.2*u.M, **{'vacancy(ads)': conc_vacancy})\n", | ||
"\n", | ||
"tend = 3600*u.s\n", | ||
"result, result_extra = odesys_extra['unit_aware_solve'](\n", | ||
" (1e-7*u.s, tend), c0,\n", | ||
" dict(\n", | ||
" k_ads_H2O2=.1/u.M/u.s,\n", | ||
" k_split_H2O2ads=.2/u.M/u.s,\n", | ||
" k_abst_OHads_H2O2=.3/u.M/u.s,\n", | ||
" k_disprop_HO2=.4/u.M/u.s\n", | ||
" ), integrator='cvode'\n", | ||
")" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"fig, axes = plt.subplots(1, 2, figsize=(14, 4))\n", | ||
"result.plot(ax=axes[0])\n", | ||
"result.plot(ax=axes[1], xscale='log', yscale='log')\n", | ||
"for ax in axes:\n", | ||
" #ax.set_ylabel('Concentration / M')\n", | ||
" #ax.set_xlabel('Time / min')\n", | ||
" ax.set_ylim(to_unitless([1e-6*u.molar, c0['H2O2']], result_extra['unit_conc']))\n", | ||
" ax.set_xlim(to_unitless([1*u.s, tend], result_extra['unit_time']))" | ||
] | ||
} | ||
], | ||
"metadata": { | ||
"kernelspec": { | ||
"display_name": "Python 3", | ||
"language": "python", | ||
"name": "python3" | ||
}, | ||
"language_info": { | ||
"codemirror_mode": { | ||
"name": "ipython", | ||
"version": 3 | ||
}, | ||
"file_extension": ".py", | ||
"mimetype": "text/x-python", | ||
"name": "python", | ||
"nbconvert_exporter": "python", | ||
"pygments_lexer": "ipython3", | ||
"version": "3.7.0+" | ||
} | ||
}, | ||
"nbformat": 4, | ||
"nbformat_minor": 2 | ||
} |
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