The Solar Wind 105
FIGURE 5 Snapshots of solar wind flow speed (above) and
pressure (below) as functions of heliocentric distance at different
times during the evolution of a large-amplitude, high-speed solar
wind stream as calculated from a simple one-dimensional
numerical model. (Adapted from A. J. Hundhausen, 1973,
J. Geophys. Res. 78 , 1528.)
stream evolution occur discontinuously at the shocks, giving
a stream speed profile the appearance of a double saw-tooth
wave. The stream amplitude decreases and the compression
region expands with increasing heliocentric distance as the
shocks propagate. Observations indicate that the shocks typ-
ically do not form until the streams are well beyond 1 AU.
Nevertheless, becauseCfgenerally decreases with increas-
ing heliocentric distance, virtually all large-amplitude solar
wind streams steepen into shock wave structures at helio-
centric distances beyond∼3 AU. At heliocentric distances
beyond the orbit of Jupiter (∼5.4 AU) a large fraction of the
mass in the solar wind is found within compression regions
bounded by shock waves on the rising portions of damped
high-speed streams. The basic structure of the solar wind
in the solar equatorial plane in the distant heliosphere thus
differs considerably from that observed at 1 AU. Stream am-
plitudes are severely reduced, and short wavelength struc-
ture is damped out. The dominant structure in the solar
equatorial plane in the outer heliosphere is the expanding
compression region where most of the plasma and magnetic
field are concentrated.
6.3 Stream Evolution in Two and Three Dimensions
When the coronal expansion is spatially variable but time-
stationary, a steady flow pattern such as that sketched in
Fig. 6 develops in the equatorial plane. This entire pattern
corotates with the Sun, and the compression regions are
known as corotating interaction regions (CIRs); however,
only the pattern rotates—each parcel of solar wind plasma
moves outward nearly radially as indicated by the black ar-
rows. The region of high pressure associated with a CIR
is nearly aligned with the magnetic field line spirals in the
equatorial plane, and the pressure gradients are thus nearly
perpendicular to those spirals. Consequently, at 1 AU, the
pressure gradients that form on the rising speed portions of
high-speed streams have transverse as well as radial compo-
nents. In particular, not only is the low-speed plasma ahead
of a high-speed stream accelerated to a higher speed, but
it is also deflected in the direction of solar rotation. In con-
trast, the high-speed plasma near the crest of the stream
is both decelerated and deflected in the direction opposite
FIGURE 6 Schematic illustrating two-dimensional,
quasi-stationary stream structure in the ecliptic plane in the
inner heliosphere. The compression region on the leading edge
of a stream is nearly aligned with the spiral magnetic field, and
the forces associated with the pressure gradients have transverse
as well as radial components. (From V. J. Pizzo, 1978,
J. Geophys. Res. 83 , 5563.)