List of Main Symbols

Latin characters

A chemical affinity; or monatomic species A2 diatomic species vectorial potential A, B Arrhenius coefficients B magnetic field c speed of sound; or speed of light in a vacuum in the absence of a field C total number of moles per unit volume Cj molar concentration per unit volume Cp, Cv specific heat at constant pressure or constant volume respectively (cp, cv per unit mass) d distance; or differential D diffusion coefficient; or diameter Da;i diffusion coefficient of species a at quantum level i electric displacement strain rate tensor four-matrix of the Lorentz special transformation e free electron; charge on the electron; or internal energy per unit mass ev,a vibrational energy of diatomic species a ee mass internal energy of free electrons orthonormal basis vector E internal energy (e per unit mass) E electrical field Ea activation energy f parameter; reduced chemical production rate; or Blasius function f´, f? Reynolds, Favre fluctuation, respectively f force acting on each unit mass fj force acting on the unitary mass of species j F Helmholtz free energy (f for the unit of mass); generalized force; or any extensive value (f for the unit of mass); F force of Fx, Fy, Fz components; or electromagnetic force source of momentum due to molecular collisions four-tensors of the electromagnetic field G Gibbs free enthalpy (g per unit mass) g acceleration due to gravity (of modulus g) gj chemical potential per unit mass of species j in a mixture electrochemical potential per unit mass of species k in a mixture gk + zk? H enthalpy (h per unit mass) H magnetic displacement four-tensor of electromagnetic displacement l unit tensor i intensity of the diffusion current i total current of conduction (or diffusion) I intensity of the electrical current equal to |I| I conventional electric current or total current 4I four-vector current j, k chemical species J total flux relative to a motionless reference frame flux relative to the barycentric velocity in a composite fluid diffusion flux of species k equal to ?k (vk - v) diffusion current of species k equal to ?k (vk - v) k Boltzmann's constant; wave number; or kinetic energy v2/2 v2/2 k(T) specific reaction rate ke kinetic energy of the free electrons K kinetic energy (k per unit mass); heat exchange coefficient; or wave number l length; or mean free path l transfer length; or integral scale of turbulence lD diffusion thickness of a non premixed flame lf, ld respective thicknesses of preheating, of reaction of a premixed flame lK Kolmogorov length scales L length; molar latent heat; or phenomenological coefficient Le Lewis number Lij, lii phenomenological coefficients matrix of phenomenological coefficients of chemical reactions m total mass; or mass of a material point m0/a m0 mass of a material point in the Minkowski space; M molecular mass; diluent; Mach number; or material point molar mass M magnetic polarization (m = M/?: per unit mass) 4M four-vector corresponding to a material point four-tensor equal to mj mass of species j Mj molar mass of species j unit mass flow rate; mass flow rate; or mass flow rate of a nozzle n total number of moles nj number of moles of species j N number of species; number of molecules per unit volume; coordinate normal to an interface; or number of elements in a statistical calculus Avogadro's number n, N unitary normal to an interface; or to a surface 4N four-normal to a surface in Minkowski timespace p thermodynamic pressure pe partial pressure of the free electrons p momentum vector with coordinates px, py, pz electric polarization per unit mass) Poynting vector equal to cE×B pressure tensor four-tensor of impulsion-energy four-tensor of impulsion-energy due to the electromagnetic field (or electromagnetic flux 4-tensor) four-tensor of impulsion-energy due to mass Pr Prandtl number q parameter; or heat flux volume flow rate q heat flux vector Q partition function; or quantity of heat lateral heat flux in a nozzle molar enthalpy of formation of species j per unit mass) r perfect gas constant per unit mass; or radius R molar universal gas constant; radius; or electrical resistance reference...