Lyman, my only J58 understanding comes from what I read. I can only learn from what other people offer in terms of explanations as well as questions.
bleeds that removed flow from the core reduced these unwanted temps
I believe, although I can't find it, that it would say something more like "..reduced
the effects of these unwanted temperatures" ie the compressor inlet temp was still the same.
You have read his claim that the bleed, escaping the rest of the core, (and combustion) was "cool, and utilized to cool the afterburner, and liner"?
This is only half the story. There are 2 distinct aspects to the bleed. It was required to sort out the debilitating way a compressor responds to high inlet temperatures ( the XB70 compressor used variable stators to do the same thing, I believe). Once taken it could not be allowed to go to waste so it was put back upstream of the afterburner. "without the afterburner the bleed air could not be heated to the energy level of the airflow and most of the increase in thrust would have been lost".
when he claimed cooling instead of heating
I couldn't find this.
