APPENDIX B. THE TRANSPORT EQUATIONS 1. Glossary of terms Coordinates and velocities: x = horizontal coordinate in magnetic meridian plane (northward) y = coordinate perpendicular to meridian plane (westward) z = vertical coordinate u=x velocity v=y velocity w=z velocity Species subscripts: e = electrons + = positive ions n = neutrals (=(th individual species n(nt., n+, n„, rr^number densities pip,., p+, pi)=partial pressures HTe, T+, Tn)=temperatures Vi)=collision frequencies fl(O,., fli)=gyrofrequencies m(me, , m t)=species mass //(/£,//,//+)=scale heights D(Din, D„t, D,.,ldv)=-diffusion coefficients t=time A = latitude / = magnetic dip angle 8=magnetic declination Bx, Bz=magnetic field components £x, £y, £z=electric field components k = Boltzmann's constant g=gravitational constant e =electron charge c = speed of light 2. Neutral wind velocities The neutral temperatures are assumed to vary with z and t in a prescribed maner, derived from fits to model atmosphere data. If overall hydrostatic equilibrium is assumed, it can be shown that the macroscopic average vertical wind velocity must be given by the differential equation which can be evaluated by quadrature. _ _ The horizontal neutral wind components vN (toward the north) and vw (toward the west) are represented as linear superpositions of seasonal average, diurnal (5,, and S|._2 modes) and semidiurnal terms. The separate terms are generated from fits to the data of Harper [18] and of Amayenc [19] and computations of Robie et al. [11] and of Forbes and Garrett [8, 9, 10], We are grateful for the advice of R. M. Harper, J. M. Forbes, and H. B. Garrett. We represent the meridional wind component as
RkJQdWJsaXNoZXIy MTU5NjU0Mg==