With all due deference to you scientists, all I know is that the speed-induced temperature rise was enough to stretch the Concorde by, as I remember it, 10 inches (25.3 or so cm?) at M2.
I was always amazed that the designers predicted it correctly, so that all the wires and pipes and stuff had the right amount of slack. I've never quite understood how the skin stretched with the frame, but no doubt someone can help with that.