- mass fraction concentration [-] | |

- mean skin friction coefficient over the turbulent area of [-] | |

- mean drag resistance coefficient in the REV [-] | |

- mean form resistance coefficient in the REV [-] | |

- mean skin friction coefficient on the REV laminar region [-] | |

- drag resistance coefficient upon single sphere [-] | |

- specific heat [J/(kgK)] | |

- interface differential area in porous medium [m^{2}] | |

- character pore size in the cross section [m] | |

- molecular diffusion coefficient [m^{2}/_{s}] | |

- capillary morphology characteristic pore diameter [m] | |

- diameter [m] of i-th pore [m] | |

- mean diameter of medium's pores [m] | |

- particle diameter [m] | |

-porous medium Euler number [-] | |

-Fanning friction factor [-] | |

-gravitational constant [m^{2}/_{s}] | |

- pore scale microroughness layer thickness [m] | |

- internal surface in the REV [m^{2}] | |

- permeability [m^{2}] | |

- turbulent diffusion coefficient [m^{2}/_{s}] | |

- analytic longitudinal diffusion coefficient [m^{2}/_{s}] | |

- absorption equilibrium constant [-] | |

- turbulent eddy viscosity [m^{2}/_{s}] | |

- porous medium general scale [m] | |

- averaged porosity [-] | |

- number of pores [-] | |

- number of pores with diameter of type i [-] | |

- pressure [Pa] | |

- ={U}_{f} L_{por}/D , porous medium Peclet number [-] | |

- particle radius Peclet number [-] | |

- , Prandtl number [-] | |

- ={U}_{f} L_{por}/, porous medium Reynolds number [-] | |

- ={U}_{f} d_{m} / , mean Reynolds number based on mean pore diameter [-] | |

- cross sectional flow area [m^{2}] | |

- source or sink in diffusion equation [s-1] | |

- total cross sectional area available to flow [m^{2}] | |

- projected obstacle area on the cross perpendicular pore surface [m^{2}] | |

- specific surface of a porous medium [^{1}/_{m}] | |

- = [^{1}/_{m}] | |

- cross flow projected area of obstacles [m^{2}] | |

- time interval for averaging of turbulent variable [s] | |

- velocity fluctuation [m/s] | |

- dimensionless porous medium interstitial velocity [-] | |

- characteristic velocity in porous medium, equals to laminar regime velocity in dh tube, [m/s] | |

- square friction velocity at the upper boundary hr of averaged over surface [m^{2}/s^{2}] |

f | - fluid phase |

L | - laminar |

n | - nondimensional |

r | - roughness |

s | - solid phase |

T | - turbulent |

w | - wall |

i | - species or pore type |

- value in fluid phase averaged over the REV | |

- equilibrium values at the assigned surface | |

- value in solid phase averaged over the REV | |

- mean turbulent quantity | |

- mean cross-section quantity in a pore | |

- mean cross-section quantity in a pore |

- averaged mass transfer coefficient over [m/s] | |

- heat transfer coefficient in control volume [W/(m^{2}K)] | |

- averaged heat transfer coefficient over [W/(m^{2}K)] | |

- mean heat transfer coefficient across the layer [W/(m^{2}K)] | |

- = , characteristic heat transfer coefficient in the layer [W/(m^{2}K)] | |

- volumetric thermal expansion coefficient [1/K] | |

- smooth wall boundary layer thickness [m] | |

- representative elementary volume (REV) [m^{3}] | |

- turbulence dissipation rate [m^{2}/s^{3}] | |

- Darcy friction coefficient in tubes [-] | |

- dynamic viscosity [kg/(m s)] or [Pa s] | |

- kinematic viscosity [m^{2}/s] | |

- density [kg/m^{3}] | |

- turbulent dissipation rate coefficient exchange ratio [-] | |

- porous medium turbulent kinetic energy coefficient exchange ratio [-] | |

- conventional turbulent kinetic energy coefficient exchange ratio [-] | |

- porous medium fluid non-local temperature turbulent coefficient exchange ratio [-] | |

- turbulent friction stress tensor [kg/(m s^{2})] | |

- wall shear stress [N/m^{2}] | |

- roughness element slope angle [°] | |

- scalar field variable [-] |

Copyright © 2001...Monday, 20-Nov-2017 23:02:04 GMT V.S.Travkin, Hierarchical Scaled Physics and Technologies™