Cambridge Mathematical Tripos Part III, Lent Term 2020, authored lecture 5. Section 5.2, printed pp.3–4, derives the zero-inner-torque steady disc and discusses energy transported by internal torque. The infinite-outer-radius luminosity formula must not be applied unchanged to an arbitrary finite annulus.
Journal of Plasma Physics 82 (2016), article 205820301; DOI 10.1017/S0022377816000489. Author's arXiv version 1604.03835v1 submitted 13 April 2016. Sections 6.1–6.3 discuss simple waves, steepening and non-magnetic shock jumps. The repository records this as peer-reviewed lecture notes; it is not an answer set for a particular NST exam.