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P_in + p(V^2/2)_in + pgz_in + P_pump (in which case the pump is your bladder) = P_out + p(V^2/2)_out + pgz_out + Pf (where Pf is the amount of energy your peepee loses due to friction as it travels through your turgid penis. There is friction involved because the interior walls of your urethral tract are not perfectly smooth, so the peepee hits microscopic ridges on the wall that creates friction, that removing some energy and removing some pressure from your peepee.)
Which can be rearranged for,
P_out – P_in = Delta(P) = P_pump
Pumps add energy into a system by pushing fluid down a certain pathway, so the only significant increase to the peepee’s driving pressure is from the bladder because we have canceled or considered all other energy terms negligible. We can calculate the exit pressure of our peepee easily, but what about inlet pressure, or before the peepee hole? If we knew this unknown, we could know, once in for all, why our peepee comes out our peepee hole. Let’s consider the following experimental setup: