Loading docs/source_docs/user_guide/inputs/model_options.rst +64 −8 Viewed Changes for docs/source_docs/user_guide/inputs/model_options.rst: 64 added lines, 8 removed lines. Original line number Diff line number Diff line Loading @@ -192,16 +192,33 @@ Drag coefficient The following input is defined using the prefix ``mfix.drag``: .. |VirtualMass_Eq| replace:: :math:`\mathbf{F}_p,vm = -C_{p,vm} \rho_f \left(\frac{D\mathbf{u}_f}{Dt} - \frac{d\mathbf{u}_p}{dt}\right)\mathcal{V}_p` .. |VirtualMass_Eq| replace:: :math:`\mathbf{F}_{p,vm} = -C_{p,vm} \rho_f \left(\frac{D\mathbf{u}_f}{Dt} - \frac{d\mathbf{u}_p}{dt}\right)\mathcal{V}_p` .. |VM_Zuber_Eq| replace:: :math:`C_{p,vm} = (\frac{1}{2})\frac{(1+2\varepsilon_p)}{(1-\varepsilon_p)}` .. |VM_Nijssen_Eq| replace:: :math:`C_{p,vm} = C_{0,vm} + \sum_{k=1}^3 \left\{ \left[a_{k,0} + a_{k,1} \ln\left(\frac{\rho_p}{\rho_f}\right)\right] \varepsilon_p^k \right\}` .. |Lift_Force_Eq| replace:: :math:`\mathbf{F}_{p,lift} = C_{p,L} \rho_f \left[ ( \mathbf{u}_f - \mathbf{u}_p) \times \omega \right] \mathcal{V}_p` +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ .. |LF_Tomiyama_Eq| replace:: :math:`C_L = \left\{ \begin{array}{ll} \min(0.288\tanh(0.121 \mathrm{Re}_p),f(\mathrm{Eo}_d^\ast)) & \mathrm{Eo}_d < 4 \\ f(\mathrm{Eo}_d^\ast) & 4 \le \mathrm{Eo}_d \le 10.7 \end{array} \right.` .. |LF_Tomiyama_Eq_fEo| replace:: :math:`f(\mathrm{Eo}_d^\ast) = 0.00105 \, {\mathrm{Eo}^\ast_d}^3 - 0.0159\, {\mathrm{Eo}^\ast_d}^2 - 0.0204\, {\mathrm{Eo}^\ast_d} + 0.474` .. |LF_Tomiyama_Eq_Eo_ast| replace:: :math:`\mathrm{Eo}^\ast_d = \min\left\{ \mathrm{Eo}_d, 10.7 \right\}` .. |LF_Saffman_Eq| replace:: :math:`C_L = \frac{1.61 d_p^2}{\mathcal{V}_p} \sqrt{\frac{\mu_f}{\rho_f \|\omega\|}}` .. |LF_SaffmanMei_Eq| replace:: :math:`C_L = C_L^{\mathrm{Saffman}} J(\mathrm{Re}_p,\epsilon)` .. |LF_SaffmanMei_Eq_J_Re_le_4| replace:: :math:`J = \left\{ \begin{array}{ll} 0.0524 \sqrt{\mathrm{Re}_\omega} & \epsilon \le 20 \\ 1 - 0.287/\epsilon^2 & \epsilon \gt 20 \end{array} \right.` .. |LF_SaffmanMei_Eq_J_Re_gt_4| replace:: :math:`J = (1−0.3314 \sqrt{\epsilon / 2}) \exp{(-\mathrm{Re}_p/10)} + 0.3314 \sqrt{\epsilon / 2}` +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | | Description | Type | Default | +==========================+===========================================================================================+===========+===========+ +===============================+===========================================================================================+===========+===========+ | model | Fluid-particle drag model. Options: | String | None | | | | | | | | * ``WenYu``- Wen-Yu :cite:p:`Wen66` | | | Loading @@ -211,10 +228,10 @@ The following input is defined using the prefix ``mfix.drag``: | | * ``UserDrag`` - User-supplied drag model | | | | | | | | | | | | | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | model.SyamOBrien.c1 | Fitting parameters for ``SyamOBrien`` drag model | Real | None | | model.SyamOBrien.d1 | | | | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | virtual_mass | Include virtual mass force in fluid-particle momentum transfer. | String | None | | | The virtual mass force is not included by default. | | | | | | | | Loading @@ -232,13 +249,52 @@ The following input is defined using the prefix ``mfix.drag``: | | * ``Nijssen`` - :cite:p:`nijssen20` | | | | | | | | | | |VM_Nijssen_Eq| | | | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | virtual_mass.constant | Constant virtual-mass coefficient. | Real | 0.5 | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | include_divtau | Interpolate the fluid shear stress to particles and include in the | Int | 0 | | | fluid-particle drag force. The force is applied to the fluid by | | | | | multiplying the shear stress by fluid volume fraction. | | | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | lift.model | Include lift force in fluid-particle momentum transfer. | String | None | | | | | | | | |Lift_Force_Eq| where :math:`\omega = \nabla \times \mathbf{u}_f` | | | | | | | | | | Options: | | | | | | | | | | * ``None`` - No lift force | | | | | * ``Null`` - zero lift force, :math:`C_{p,L} = 0` (for testing) | | | | | * ``Auton`` - specified constant coefficient :cite:p:`auton87` | | | | | * ``Tomiyama`` - :cite:p:`tomiyama02` | | | | | | | | | | |LF_Tomiyama_Eq| | | | | | | | | | | where |LF_Tomiyama_Eq_Eo_ast| and |LF_Tomiyama_Eq_fEo| | | | | | | | | | | * ``Saffman`` - :cite:p:`saffman65` | | | | | | | | | | |LF_Saffman_Eq| | | | | | | | | | | * ``Saffman-Mei`` - :cite:p:`mei92` | | | | | | | | | | |LF_SaffmanMei_Eq| | | | | | | | | | | For Re :math:`\le 4`: | | | | | | | | | | |LF_SaffmanMei_Eq_J_Re_le_4| | | | | | | | | | | For Re :math:`\gt 4`: | | | | | | | | | | |LF_SaffmanMei_Eq_J_Re_gt_4| | | | | | | | | | | where :math:`\epsilon = \mathrm{Re}_\omega / \mathrm{Re}_p` and | | | | | :math:`\mathrm{Re}_\omega = {\rho_f \|\omega\| d_p^2}/\mu_f` | | | | | | | | +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | lift.Auton.coeff | Constant coefficient for Auton lift force model. | Real | 0.5 | +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | lift.Tomiyama.surface_tension | Surface tension in Tomiyama lift force model. | Real | None | +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ .. note:: Loading docs/source_docs/refs.bib +40 −2 Viewed Changes for docs/source_docs/refs.bib: 40 added lines, 2 removed lines. Original line number Diff line number Diff line Loading @@ -63,6 +63,15 @@ pages = {379-402} pages = {123-130} } @article{auton87, title={The lift force on a spherical body in a rotational flow}, author={Auton, T. R.}, journal={Journal of Fluid Mechanics}, volume={183}, year={1987}, pages={199–218} } @article{Bee07, author = {Beetstra, R. and van der Hoef, M. A. and Kuipers, J. A.M.}, title = { Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres}, Loading Loading @@ -443,6 +452,17 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, publisher={Cambridge University Press} } @article{mei92, title = {An approximate expression for the shear lift force on a spherical particle at finite reynolds number}, journal = {International Journal of Multiphase Flow}, volume = {18}, number = {1}, pages = {145-147}, year = {1992}, issn = {0301-9322}, author = {R. Mei} } @article{nijssen20, author = {Tim M.J. Nijssen and Hans A.M. Kuipers and Jan {van der Stel} and Allert T. Adema and Kay A. Buist}, title = {Complete liquid-solid momentum coupling for unresolved CFD-DEM simulations}, Loading @@ -452,7 +472,6 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, year = {2020} } @article{Nonaka2018, author = {Andrew Nonaka and Marcus S. Day and John B. Bell}, title = {A conservative, thermodynamically consistent numerical approach for low Mach number combustion. Part I: Single-level integration}, Loading Loading @@ -503,6 +522,16 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, pages = {267} } @article{saffman65, title={The lift on a small sphere in a slow shear flow}, volume={22}, number={2}, journal={Journal of Fluid Mechanics}, author={Saffman, P. G.}, year={1965}, pages={385–400} } @article{sato81, author = {Sato, Y. and Sadatomi, M.}, title = {Momentum and heat transfer in two-phase bubble flow - I. Theory}, Loading Loading @@ -589,6 +618,16 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, doi = {https://doi.org/10.1016/j.ijmultiphaseflow.2011.05.010}, } @article{tomiyama02, title = {Transverse migration of single bubbles in simple shear flows}, author = {Akio Tomiyama and Hidesada Tamai and Iztok Zun and Shigeo Hosokawa}, journal = {Chemical Engineering Science}, volume = {57}, number = {11}, pages = {1849-1858}, year = {2002} } @article{vanleer79, author = "Bram [van Leer]", title = "Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method", Loading Loading @@ -678,7 +717,6 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, year = {1964} } @article{zhou1999, title={Rolling friction in the dynamic simulation of sandpile formation}, author={Zhou, YC and Wright, BD and Yang, RY and Xu, Bao Hua and Yu, Ai-Bing}, Loading Loading
docs/source_docs/user_guide/inputs/model_options.rst +64 −8 Viewed Changes for docs/source_docs/user_guide/inputs/model_options.rst: 64 added lines, 8 removed lines. Original line number Diff line number Diff line Loading @@ -192,16 +192,33 @@ Drag coefficient The following input is defined using the prefix ``mfix.drag``: .. |VirtualMass_Eq| replace:: :math:`\mathbf{F}_p,vm = -C_{p,vm} \rho_f \left(\frac{D\mathbf{u}_f}{Dt} - \frac{d\mathbf{u}_p}{dt}\right)\mathcal{V}_p` .. |VirtualMass_Eq| replace:: :math:`\mathbf{F}_{p,vm} = -C_{p,vm} \rho_f \left(\frac{D\mathbf{u}_f}{Dt} - \frac{d\mathbf{u}_p}{dt}\right)\mathcal{V}_p` .. |VM_Zuber_Eq| replace:: :math:`C_{p,vm} = (\frac{1}{2})\frac{(1+2\varepsilon_p)}{(1-\varepsilon_p)}` .. |VM_Nijssen_Eq| replace:: :math:`C_{p,vm} = C_{0,vm} + \sum_{k=1}^3 \left\{ \left[a_{k,0} + a_{k,1} \ln\left(\frac{\rho_p}{\rho_f}\right)\right] \varepsilon_p^k \right\}` .. |Lift_Force_Eq| replace:: :math:`\mathbf{F}_{p,lift} = C_{p,L} \rho_f \left[ ( \mathbf{u}_f - \mathbf{u}_p) \times \omega \right] \mathcal{V}_p` +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ .. |LF_Tomiyama_Eq| replace:: :math:`C_L = \left\{ \begin{array}{ll} \min(0.288\tanh(0.121 \mathrm{Re}_p),f(\mathrm{Eo}_d^\ast)) & \mathrm{Eo}_d < 4 \\ f(\mathrm{Eo}_d^\ast) & 4 \le \mathrm{Eo}_d \le 10.7 \end{array} \right.` .. |LF_Tomiyama_Eq_fEo| replace:: :math:`f(\mathrm{Eo}_d^\ast) = 0.00105 \, {\mathrm{Eo}^\ast_d}^3 - 0.0159\, {\mathrm{Eo}^\ast_d}^2 - 0.0204\, {\mathrm{Eo}^\ast_d} + 0.474` .. |LF_Tomiyama_Eq_Eo_ast| replace:: :math:`\mathrm{Eo}^\ast_d = \min\left\{ \mathrm{Eo}_d, 10.7 \right\}` .. |LF_Saffman_Eq| replace:: :math:`C_L = \frac{1.61 d_p^2}{\mathcal{V}_p} \sqrt{\frac{\mu_f}{\rho_f \|\omega\|}}` .. |LF_SaffmanMei_Eq| replace:: :math:`C_L = C_L^{\mathrm{Saffman}} J(\mathrm{Re}_p,\epsilon)` .. |LF_SaffmanMei_Eq_J_Re_le_4| replace:: :math:`J = \left\{ \begin{array}{ll} 0.0524 \sqrt{\mathrm{Re}_\omega} & \epsilon \le 20 \\ 1 - 0.287/\epsilon^2 & \epsilon \gt 20 \end{array} \right.` .. |LF_SaffmanMei_Eq_J_Re_gt_4| replace:: :math:`J = (1−0.3314 \sqrt{\epsilon / 2}) \exp{(-\mathrm{Re}_p/10)} + 0.3314 \sqrt{\epsilon / 2}` +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | | Description | Type | Default | +==========================+===========================================================================================+===========+===========+ +===============================+===========================================================================================+===========+===========+ | model | Fluid-particle drag model. Options: | String | None | | | | | | | | * ``WenYu``- Wen-Yu :cite:p:`Wen66` | | | Loading @@ -211,10 +228,10 @@ The following input is defined using the prefix ``mfix.drag``: | | * ``UserDrag`` - User-supplied drag model | | | | | | | | | | | | | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | model.SyamOBrien.c1 | Fitting parameters for ``SyamOBrien`` drag model | Real | None | | model.SyamOBrien.d1 | | | | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | virtual_mass | Include virtual mass force in fluid-particle momentum transfer. | String | None | | | The virtual mass force is not included by default. | | | | | | | | Loading @@ -232,13 +249,52 @@ The following input is defined using the prefix ``mfix.drag``: | | * ``Nijssen`` - :cite:p:`nijssen20` | | | | | | | | | | |VM_Nijssen_Eq| | | | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | virtual_mass.constant | Constant virtual-mass coefficient. | Real | 0.5 | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | include_divtau | Interpolate the fluid shear stress to particles and include in the | Int | 0 | | | fluid-particle drag force. The force is applied to the fluid by | | | | | multiplying the shear stress by fluid volume fraction. | | | +--------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | lift.model | Include lift force in fluid-particle momentum transfer. | String | None | | | | | | | | |Lift_Force_Eq| where :math:`\omega = \nabla \times \mathbf{u}_f` | | | | | | | | | | Options: | | | | | | | | | | * ``None`` - No lift force | | | | | * ``Null`` - zero lift force, :math:`C_{p,L} = 0` (for testing) | | | | | * ``Auton`` - specified constant coefficient :cite:p:`auton87` | | | | | * ``Tomiyama`` - :cite:p:`tomiyama02` | | | | | | | | | | |LF_Tomiyama_Eq| | | | | | | | | | | where |LF_Tomiyama_Eq_Eo_ast| and |LF_Tomiyama_Eq_fEo| | | | | | | | | | | * ``Saffman`` - :cite:p:`saffman65` | | | | | | | | | | |LF_Saffman_Eq| | | | | | | | | | | * ``Saffman-Mei`` - :cite:p:`mei92` | | | | | | | | | | |LF_SaffmanMei_Eq| | | | | | | | | | | For Re :math:`\le 4`: | | | | | | | | | | |LF_SaffmanMei_Eq_J_Re_le_4| | | | | | | | | | | For Re :math:`\gt 4`: | | | | | | | | | | |LF_SaffmanMei_Eq_J_Re_gt_4| | | | | | | | | | | where :math:`\epsilon = \mathrm{Re}_\omega / \mathrm{Re}_p` and | | | | | :math:`\mathrm{Re}_\omega = {\rho_f \|\omega\| d_p^2}/\mu_f` | | | | | | | | +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | lift.Auton.coeff | Constant coefficient for Auton lift force model. | Real | 0.5 | +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ | lift.Tomiyama.surface_tension | Surface tension in Tomiyama lift force model. | Real | None | +-------------------------------+-------------------------------------------------------------------------------------------+-----------+-----------+ .. note:: Loading
docs/source_docs/refs.bib +40 −2 Viewed Changes for docs/source_docs/refs.bib: 40 added lines, 2 removed lines. Original line number Diff line number Diff line Loading @@ -63,6 +63,15 @@ pages = {379-402} pages = {123-130} } @article{auton87, title={The lift force on a spherical body in a rotational flow}, author={Auton, T. R.}, journal={Journal of Fluid Mechanics}, volume={183}, year={1987}, pages={199–218} } @article{Bee07, author = {Beetstra, R. and van der Hoef, M. A. and Kuipers, J. A.M.}, title = { Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres}, Loading Loading @@ -443,6 +452,17 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, publisher={Cambridge University Press} } @article{mei92, title = {An approximate expression for the shear lift force on a spherical particle at finite reynolds number}, journal = {International Journal of Multiphase Flow}, volume = {18}, number = {1}, pages = {145-147}, year = {1992}, issn = {0301-9322}, author = {R. Mei} } @article{nijssen20, author = {Tim M.J. Nijssen and Hans A.M. Kuipers and Jan {van der Stel} and Allert T. Adema and Kay A. Buist}, title = {Complete liquid-solid momentum coupling for unresolved CFD-DEM simulations}, Loading @@ -452,7 +472,6 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, year = {2020} } @article{Nonaka2018, author = {Andrew Nonaka and Marcus S. Day and John B. Bell}, title = {A conservative, thermodynamically consistent numerical approach for low Mach number combustion. Part I: Single-level integration}, Loading Loading @@ -503,6 +522,16 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, pages = {267} } @article{saffman65, title={The lift on a small sphere in a slow shear flow}, volume={22}, number={2}, journal={Journal of Fluid Mechanics}, author={Saffman, P. G.}, year={1965}, pages={385–400} } @article{sato81, author = {Sato, Y. and Sadatomi, M.}, title = {Momentum and heat transfer in two-phase bubble flow - I. Theory}, Loading Loading @@ -589,6 +618,16 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, doi = {https://doi.org/10.1016/j.ijmultiphaseflow.2011.05.010}, } @article{tomiyama02, title = {Transverse migration of single bubbles in simple shear flows}, author = {Akio Tomiyama and Hidesada Tamai and Iztok Zun and Shigeo Hosokawa}, journal = {Chemical Engineering Science}, volume = {57}, number = {11}, pages = {1849-1858}, year = {2002} } @article{vanleer79, author = "Bram [van Leer]", title = "Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method", Loading Loading @@ -678,7 +717,6 @@ doi = {https://doi.org/10.1016/j.jcp.2022.111305}, year = {1964} } @article{zhou1999, title={Rolling friction in the dynamic simulation of sandpile formation}, author={Zhou, YC and Wright, BD and Yang, RY and Xu, Bao Hua and Yu, Ai-Bing}, Loading