Hello Jack,
jackx47 said:
so then is their any resistance created? My initial quest was to find out if this front of resistance was a single front or multiple. Example: If my object was not aerodynamic and was traveling through the air at a supersonic speed would the resistance encountered at the front be a single front or a series of smaller fronts much like an accordion bellows. That is what I meant when I said "number of ripples". Forget the intensity
I am going to try and help Clausius help you out. You need to help us out by understanding the things we are describing to you, verifying to us you understand, and then giving us more information about your question with regards to what we have described to you. I would first suggest that we clarify the 3 domains of fluid flow around a body, because the shape of pressure waves on or around a body are different with respect to these 3 domains. The domains are:
1) Subsonic
(when Mach number is well below the Critical Mach number where sonic flow first appears. Usually this is at Mach 0.8 and below.)
Predicting the structure and interactions of "bow waves" in this regieme is not impossible, but not terribly easy as well. As others have said, the structure and interaction of such bow waves is a function of the shape of the body itself. And this is true in ALL THREE of these domains. You can either perform tests in a wind tunnel, or use Computational Fluid Dynamic (CFD) software to predict what the "bow wave" flowfield looks like.
2) Transonic
(Generally Mach 0.8 up to and including Mach 1.2)
This is the most difficult regieme to predict flowfield effects. Things are highly non-linear, and the shape of the body has a great impact on the structure and interaction of the flowfield such that even small changes in the geometry can have drastic effects on the aero/hydrodynamic situation. Typically, you have "sonic bubbles" forming at specific geometric points on the body depending on how the body accelerates the flow even before you have shock waves forming. Drag forces (viscous resistance inherent to the fluid itself) on the body rise in a non-linear fashion in this regieme.
3) Supersonic
(Generally from Mach 1.2 up to Mach 2 or 3)
Of the three regiemes of flow, this regieme is probably the "easiest" to predict. Mostly because the geometries you tend to use in supersonic flows are simple and are more intended to reduce drag than to increase lift. In your question of "bow waves" and how they disturb the air in front of the body, there are no such "bow waves". There are shock waves and expansion waves, but the body is moving so fast in the fluid (by definition, faster than the speed of sound) there is no way for the fluid in front of the body to have any sort of "advance notice" that the body is there.
Specialists in aerodynamics and fluid dynamics spend a LOT of time trying to quantify fluid flowfield effects around various body shapes in these three domains. So in order to help you we will need you to be more specific about what you are trying to understand. Perhaps by describing the specifics of the problem or scenario you are trying to analyze.
Rainman