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Steve: I think I've got it well enough to use it. I was laboring under the misconception that the energy balance was strictly between strain energy (i'm working with a gas) and kinetic energy. It becomes clearer if you look at an INCOMPRESSIBLE flow, in which the strain energy is zero. Since...

Steve, I think you've almost gotten to me. Forget the friction, forget the pumps, forget the "special cases." You're saying that in the ideal positive point source case, the energy gradient is zero and the total pressure (i.e., that which compresses the fluid) is constant. Right? I...

You're beginning to see my problem, IRstuff. But if the pressure DROPS as the radius increases, then the pressure GRADIENT exerts a force OUTWARD on a differential element of fluid, seemingly contradicting Newton's Second Law. If the mass is slowing down, and it certainly must be, the pressure...

Thanks again for the responses, but I'm beginning to think I asked the wrong question. If there is a spherically-symmetric flow emanating from a source at the origin in an infinite body of fluid, what is the pressure as a function of radius if it is p0 at infinite radius? DBruceG

Thanks for the responses. Yes, I did mean that "pressure drops as velocity increases," though that's certainly not obvious upon my own reread. Special thanks to Steve. Conservation of energy, huh? I'll have to think about that, but it doesn't appear to wash at the moment. If the...

A couple of other things might be happening as well. How many elements did you use? If you bisect(or whatever) the mesh, do you get the same answer? DBruceG

Forgive me for showing my ignorance, but I'm a structural ... If pressure drops with velocity, then it would seem that the pressure surrounding a point source in an infinite medium must be less than the pressure at an infinite distance from the source, regardless of the sign of that source...