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I am in the process of writing a mathematics paper which aims to model the interaction of a supersonic (or transonic for that matter) object with a flat plane. I need to determine the shape that a supersonic object's propagated shockwave forms.

When doing my research, I came across the concept of a "Mach Cone" and am now not sure if that is the way that the shockwave propagates through the fluid or not. I would much appreciate any help on the matter.

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  • $\begingroup$ Yes, a Mach cone is a possible model of a shock front. However, its shape greatly depends on the shape of the piston/driver. For instance, if you have sphere, it would not be cone-shaped but more like a hyperboloid of two-sheets. $\endgroup$
    – honeste_vivere
    Commented Nov 29 at 16:00
  • $\begingroup$ If I take a point into consideration, will it be a cone? $\endgroup$
    – Bubber-ducky
    Commented Dec 3 at 6:06
  • $\begingroup$ Well if you zoom out enough then yes, the overall shape can be cone-like, I suppose. $\endgroup$
    – honeste_vivere
    Commented Dec 3 at 12:31

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