Compressible Flow Subroutine Library
Programming Reference Manual
Version 1.0 DD-00008-110E

3.17.1 Introduction

This function group computes a solution to the Taylor-Maccoll equation for axis symmetric flow around a cone as for example described in [JDAnderson1982], that is:

     [             ]
γ--1      ′2  (dV′r)2 [  ′  dV′r-     d2V′r]  Vr′[ ′dV′r- dV-′rd2V′r]
  2   1-Vr -  dθ     2Vr+ d θ cotθ+ d θ2 - dθ Vrdθ +  dθ dθ2  = 0

The solution to the above can be found given any combination of: the deflection surface angle θ of the cone, an approximated wave angle δ (i.e. using oblique shock relations) and the upstream mach number M . The solution is computed numerically using a Runge-Kutta method of the 4th order.

The following properties are computed:

Table 15: Conic shock properties



I Property Description



1 M Mach number
2 θ Shock angle (◦ )
3 σ Cone angle (◦ )