22.2. Greek Equation Symbols

The table below shows the conventions used in this document for Greek equation symbols.

Table 22.2: Greek Symbols

Description	Chapter	CGS Units
Coordinate index: 0 for planar, 1 for radial coordinates	Boundary-layer Channel Flow	none
Temperature ratio across the incident shock,	Normal Shock Equations	none
Temperature ratio across the reflected shock,	Normal Shock Equations	none
Parameter in mechanism	Surface Chemical Rate Expressions	none
Polarizability of the k th species	Gas-phase Species Transport Properties	Å³
Reduced polarizability of the k th species.	Gas-phase Species Transport Properties	none
Enhanced third-body efficiency of the k th species in the i th reaction	Surface Chemical Rate Expressions	none
Temperature ratio across the incident shock,	Normal Shock Equations	none
Temperature exponent in the rate constant of the i th reaction	Gas-phase Chemical Rate Expressions, Surface Chemical Rate Expressions , Homogeneous 0-D Reactor Models , 1-D Premixed Laminar Flames	none
Temperature ratio across the reflected shock,	Normal Shock Equations	none
Site density for surface phase	Surface Chemical Rate Expressions	mole/cm²
Initial site density for surface phase	Surface Chemical Rate Expressions	mole/cm²
Site density summed over all surface phases	Surface Chemical Rate Expressions	mole/cm²
Characteristic time scale for the mixing process	Partially Stirred Reactor (PaSR) Model	sec
Reactor residence time	Partially Stirred Reactor (PaSR) Model	sec
Production rate for surface phase	Surface Chemical Rate Expressions	mole/(cm²sec)
User-specified parameter for solution curvature resolution	1-D Premixed Laminar Flames	none
Specified heat ratio	Normal Shock Equations	none
Sticking coefficient for the i th surface reaction	Surface Chemical Rate Expressions	none
Time step size for stochastic simulation	Partially Stirred Reactor (PaSR) Model	sec
Unit tensor	Gas-phase Species Transport Properties	none
Reduced dipole moment of the k th species	Gas-phase Species Transport Properties	none
Effective reduced dipole moment for the collision	Gas-phase Species Transport Properties	none
Small number (e.g. 1.E-12)	Gas-phase Species Transport Properties	none
Emissivity	Surface Chemical Rate Expressions	none
Averaged turbulent kinetic energy dissipation rate	Partially Stirred Reactor (PaSR) Model	cm²/sec³
Effective Lennard-Jones potential well depth for the collision	Gas-phase Species Transport Properties	ergs
Inlet mass fraction of the k th species	1-D Premixed Laminar Flames	none
Lennard-Jones potential well depth for the k th species	Gas-phase Species Transport Properties	ergs
Coverage parameter	Surface Chemical Rate Expressions	[cal/mole]*
Mixture viscosity	Gas-phase Species Transport Properties	g/(cm sec)
Density ratio across the incident shock,	Normal Shock Equations	none
Pure species viscosity of the k th species	Gas-phase Species Transport Properties	g/(cm sec)
Coverage parameter	Surface Chemical Rate Expressions	none
Viscosity of air for the IC HCCI engine model	Homogeneous 0-D Reactor Models	g/(cm sec)
Thermal diffusion ratio for mixture-averaged formula	Gas-phase Species Transport Properties, 1-D Premixed Laminar Flames	none
Angle between the crank arm and connecting rod for the engine model	Homogeneous 0-D Reactor Models	degrees
Bulk coefficient of viscosity	Gas-phase Species Transport Properties	g/(cm sec)
Averaged turbulent kinetic energy	Partially Stirred Reactor (PaSR) Model	cm²/sec²
Thermal conductivity of the gas mixture	Surface Chemical Rate Expressions, Gas-phase Species Transport Properties , Boundary-layer Channel Flow , 1-D Premixed Laminar Flames , Stagnation-Flow and Rotating-Disk CVD	ergs/cm ⋅ sec ⋅ K
Damping parameter for the nth iterate in the solution algorithm	1-D Premixed Laminar Flames	none
Multicomponent thermal conductivity of the species	Gas-phase Species Transport Properties	ergs/cm ⋅ sec ⋅ K
Thermal conductivity of the k th species	Gas-phase Species Transport Properties	ergs/cm ⋅ sec ⋅ K
Thermal conductivity of air for the IC HCCI engine model	Homogeneous 0-D Reactor Models	ergs/cm ⋅ sec ⋅ K
Mixture viscosity	Normal Shock Equations, Boundary-layer Channel Flow	g/(cm sec)
Effective dipole moment for the collision	Gas-phase Species Transport Properties	Debye
Chemical potential of the k th species	Surface Chemical Rate Expressions	none
Dipole moment of the k th species	Gas-phase Species Transport Properties	Debye
Chemical potential of the k th species	Surface Chemical Rate Expressions	none
Reduced dipole moment of the k th species	Gas-phase Species Transport Properties	none
Coverage parameter	Surface Chemical Rate Expressions	none
Kinematic viscosity	Normal Shock Equations	cm²/sec
Normalized stream function	Boundary-layer Channel Flow	none
Density ratio,	Normal Shock Equations	none
Relaxation collision number	Gas-phase Species Transport Properties	none
Mass density of a gas mixture	Thermodynamic Expressions, Surface Chemical Rate Expressions , Gas-phase Species Transport Properties , Normal Shock Equations , Homogeneous 0-D Reactor Models , Partially Stirred Reactor (PaSR) Model , Boundary-layer Channel Flow , 1-D Premixed Laminar Flames , Stagnation-Flow and Rotating-Disk CVD	g/cm³
Mass density at the reactor inlet	Boundary-layer Channel Flow	g/cm³
Mass density of the k th bulk species	Surface Chemical Rate Expressions, Homogeneous 0-D Reactor Models , Boundary-layer Channel Flow	g/cm³
Site density of the n th bulk phase on the m th material.	Homogeneous 0-D Reactor Models	mole/cm²
Mass density of air for the SI Engine Zonal Simulator model	Homogeneous 0-D Reactor Models	g/cm³
Number of sites occupied by the k th species.	Surface Chemical Rate Expressions	none
Stefan-Boltzmann constant	Stagnation-Flow and Rotating-Disk CVD	none
Stefan-Boltzmann constant	Surface Chemical Rate Expressions, Stagnation-Flow and Rotating-Disk CVD	ergs/(cm²sec K⁴)
Lennard-Jones diameter of the k th species	Gas-phase Species Transport Properties	Å
Effective Lennard-Jones diameter for the collision	Gas-phase Species Transport Properties	Å
Nominal residence time	Homogeneous 0-D Reactor Models, Stagnation-Flow and Rotating-Disk CVD	sec
Momentum flux	Gas-phase Species Transport Properties	g/(cm sec²)
Characteristic chemical destruction time of the kth species	Gas-phase Chemical Rate Expressions	sec
Net stoichiometric coefficient of the kth species in the ith reaction;	Gas-phase Chemical Rate Expressions	none
Stoichiometric coefficient of the kth reactant species in the ith reaction	Gas-phase Chemical Rate Expressions	none
Stoichiometric coefficient of the kth product species in the ith reaction	Gas-phase Chemical Rate Expressions, Surface Chemical Rate Expressions , Homogeneous 0-D Reactor Models , Stagnation-Flow and Rotating-Disk CVD	none
Dependent variable vector in an application program	Surface Chemical Rate Expressions	none
Chemical symbol of the kth species	Surface Chemical Rate Expressions, Homogeneous 0-D Reactor Models	none
Stream function	Boundary-layer Channel Flow	g/(cm²sec)
Yield enhancement factor (ion-energy-yield reaction)	Surface Chemical Rate Expressions	none
Rotation rate of the crank arm in the internal combustion engine model	Homogeneous 0-D Reactor Models	1/sec
Collision integral	Gas-phase Species Transport Properties	none
Chemical production rate of the kth species due to gas-phase reactions	Gas-phase Chemical Rate Expressions, Surface Chemical Rate Expressions , Normal Shock Equations , Homogeneous 0-D Reactor Models , Partially Stirred Reactor (PaSR) Model , Boundary-layer Channel Flow , 1-D Premixed Laminar Flames , Stagnation-Flow and Rotating-Disk CVD	mole/(cm³sec)

Note: The energy CGS units that are noted by an asterisk (*) depend upon user input at the REACTIONS line or in the UNITS auxiliary keyword for chemistry input files. The default unit is thermal calories.