“…and j r~{ kE r , j z~{ kE z (6) where r is the radial distance, t is the time, H is the enthalpy, p is the pressure, v r and v z are the radial and axial velocities, j r and j z are the radial and axial components of the current density, g is the acceleration due to gravity, c is the specific heat, l is the thermal conductivity, r is the density, t is the viscosity, y is the radiative emission coefficient and k is the electrical conductivity. E r and E z are the radial and axial components of the electric field defined by…”