Hot-gas-side wall temp Coolant flow direction
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Regenerative Cooling Channel Simulator

Every liquid rocket engine chamber wall faces combustion gas at 3,000+ kelvin for as long as the engine fires, and no metal survives direct contact with that for more than a fraction of a second. Regenerative cooling solves it by routing the propellant itself through a jacket of narrow channels wrapped around the nozzle before injection, so the coolant carries the heat away as fast as the flame delivers it. This simulator builds a real 1D steady-state thermal-resistance model along the nozzle contour — a Bartz-style hot-gas film coefficient that peaks at the throat, a thin conducting copper liner, and a Dittus–Boelter coolant film — and marches the countercurrent energy balance to get the coolant and wall temperature profiles for whatever flow rate, chamber pressure and channel geometry you choose.