In this answer the survival of the Parker Solar Probe spacecraft passing as close as 9 solar radii from the Sun's surface is discussed. Using guestimates for apoapsis and periapsis of 1.1 $a_{venus}$, 10 $r_{sun}$. I get velocities of about 11,000 and 190,000 m/s using the vis-viva equation.
above: screenshot from page ES9 of the Solar Probe Plus Fact Sheet.
The heat shield is described here:
The main feature of the TPS is an 8-foot-diameter, 4.5-inch-thick, carbon-carbon, carbon foam shield that will sit atop the Solar Probe Plus spacecraft body. The system will protect the Parker Solar Probe from temperatures exceeding 2,500 degrees Fahrenheit and impacts from hypervelocity dust particles as it flies through the Sun’s outer atmosphere.
In the GIF below, the shield and a stand-off between the shield and the body of the espresso maker-shaped spacecraft can be seen. As described in the linked answer and here, the "side panels" are radiators to help cool the back of the shield, and the long legs connecting the shield to the satellite designed to have a very high thermal impedance to minimize heat flow.
I've asked about the origin of the dust near the Sun in this question If I understand correctly, the dust is slowly falling in to the Sun because particles of a certain size range experience a tangential deceleration force via the Poynting Robertson effect. It's related to astronomical aberration - moving transversely through a photon flux causes a slightly enhanced radiation pressure on the forward facing side of the particle. Since the force is velocity dependent, it is greater at periapsis, and thus tends to circularize the orbits.
My question is: If the heat shield is facing directly towards the Sun so that this long narrow spacecraft can remain in the shadow so that it is "moving sideways" through this dust field, how does the this shield "protect the spacecraft from impacts from hypervelocity dust particles as it flies through the Sun's outer atmosphere?"
Are there "hypervelocity dust particles" coming straight out of the Sun? Sun soot?
The question is further highlighted by this paragraph from Section 4.5.3 of this 2008 report:
The Coronal Dust instrument is mounted on the –Y panel looking in the ram direction to collect the maximum number of dust impacts.
edit: The constant, slow infall of particles/dust results in a higher concentration near the sun - a collapsing spherical shell has smaller and smaller area. This cloud has been historically observed as the source of Zodiactal Light. Most of the particles are tens or hundreds of microns in size, and one theory for the origin is the collisions of asteroids or from comets. When the cloud gets too close to the Sun, the particles disintegrate, and this "hole" in the cloud is called the Solar Dust Corona. There is much more to read in the paper nicely titled Dust Near The Sun.
above: a long exposure from Paranal showing zodiactal light - this and larger versions available in Wikipedia.
above: GIF made from six screenshots, cropped from the YouTube video shown separately below, from the Johns Hopkins University Applied Physics Laboratory. The JHU APL has designed and will build and operate the spacecraft for NASA.
You can also see details of the articulation of the solar panels - note how they become increasingly shadowed behind the shield as they are withdrawn, until only a tiny section remains highly obliquely illuminated in the incredibly intense flux of light (and everything else) from the Sun.
above: screen shot from NASA's Solar Probe Plus Fact Sheet