Introduction

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:

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I	Property	Description

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