| |
| import numpy as np |
| import openpnm as op |
| import matplotlib.pyplot as plt |
| import openpnm.models.geometry.diffusive_size_factors as gd |
| np.random.seed(10) |
|
|
| |
| Nx = 100 |
| shape = [Nx, Nx, 1] |
| spacing = 1e-2 |
| net = op.network.Cubic(shape=shape, spacing=spacing) |
|
|
| |
| geo = op.geometry.GenericGeometry(network=net, pores=net.Ps, throats=net.Ts) |
| geo.add_model(propname='pore.diameter', model=op.models.misc.constant, value=spacing) |
| geo.add_model(propname='throat.length', model=op.models.misc.constant, value=1e-15) |
| geo.add_model(propname='throat.diameter', model=op.models.misc.constant, value=spacing) |
| geo["pore.cross_sectional_area"] = spacing |
| geo["throat.cross_sectional_area"] = spacing |
| geo["pore.volume"] = spacing**2 |
| mod = gd.squares_and_rectangles |
| geo.add_model(propname='throat.diffusive_size_factors', model=mod) |
|
|
| |
| air = op.phase.Air(network=net) |
| phys = op.physics.GenericPhysics(network=net, phase=air, geometry=geo) |
|
|
| |
| air['pore.temperature'] = 300 |
| air.add_model(propname='pore.diffusivity', |
| model=op.models.misc.linear, |
| m=1.860793056e-06, |
| b=-0.0005375624384, |
| prop='pore.temperature') |
| phys.add_model(propname='throat.diffusive_conductance', |
| model=op.models.physics.diffusive_conductance.generic_diffusive) |
|
|
| |
| air.remove_model(propname='pore.thermal_conductivity') |
| air["pore.thermal_conductivity"] = 0.0262 |
|
|
| |
| phys.add_model(propname='throat.thermal_conductance', |
| model=op.models.physics.thermal_conductance.generic_thermal) |
|
|
| tfd_settings = { |
| "conductance": "throat.diffusive_conductance", |
| "quantity": "pore.concentration", |
| } |
| tfc_settings = { |
| "conductance": "throat.thermal_conductance", |
| "quantity": "pore.temperature", |
| "pore_volume": "pore.heat_capacity", |
| } |
|
|
| pardiso = op.solvers.PardisoSpsolve() |
| rk45 = op.integrators.ScipyRK45(verbose=True) |
|
|
| |
| |
| tfc = op.algorithms.TransientReactiveTransport(network=net, phase=air) |
| geo['pore.heat_capacity'] = geo['pore.volume'] * 1.0035 * 1000 * 1.225 |
| tfc.settings._update(tfc_settings) |
| tfc.set_value_BC(net.pores("left"), 400) |
|
|
| |
| tfd = op.algorithms.TransientReactiveTransport(network=net, phase=air) |
| tfd.settings._update(tfd_settings) |
| tfd.set_value_BC(net.pores("left"), 100) |
|
|
| |
| tfd.set_variable_props('pore.temperature') |
| tfc.set_variable_props('pore.concentration') |
|
|
| |
| T0 = np.ones(tfc.Np) * 300 |
| T0[net.pores('left')] = 400 |
| c0 = np.ones(tfd.Np)*50 |
| c0[net.pores('left')] = 100 |
| y0 = np.hstack((T0, c0)) |
|
|
| |
| t_initial = 0 |
| t_final = 50 |
| t_step = 5 |
| n_steps = int((t_final - t_initial)/t_step) + 1 |
| t = np.linspace(t_initial, t_final, n_steps) |
| tspan = [t_initial, t_final] |
|
|
| |
| tmp = op.contrib.TransientMultiPhysics(algorithms=[tfc, tfd], network=net) |
|
|
| |
| sol = tmp.run(y0, tspan, saveat=t) |
|
|
| |
| T = sol['pore.temperature'] |
| C = sol['pore.concentration'] |
|
|
| not_BC_pores = net.pores("left", mode='nor') |
| C_avg = C[not_BC_pores].mean(axis=0) |
|
|
| |
| time = np.linspace(0, 2000, 401) |
| data = np.load('tmp_comsol_data.npz') |
| C_comsol = data['a'] |
|
|
| |
| plt.figure(1) |
| fig, ax = plt.subplots(ncols=2) |
| im_1 = ax[0].imshow(T[:, -1].reshape((Nx, Nx))) |
| im_2 = ax[1].imshow(C[:, -1].reshape((Nx, Nx))) |
| fig.colorbar(im_1, ax=ax[0], fraction=0.046, pad=0.04) |
| fig.colorbar(im_2, ax=ax[1], fraction=0.046, pad=0.04) |
| ax[0].title.set_text('Temperature (K)') |
| ax[1].title.set_text('Concentration (mol m-3)') |
| ax[0].axis('off') |
| ax[1].axis('off') |
| im_1.set_clim(300, 400) |
| im_2.set_clim(0, 100) |
| fig.suptitle('OpenPNM', y=0.85) |
|
|
| |
| plt.figure(2) |
| fig1, ax1 = plt.subplots() |
| ax1.plot(t, C_avg, time, C_comsol) |
| ax1.legend(('OpenPNM', 'COMSOL')) |
| ax1.set_xlabel('Time (s)') |
| ax1.set_ylabel('Concentration mol/m3') |
| ax1.set_title('Average Concentration') |
|
|
