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Large rocket engines cannot be reusable because they are
damaged by large Reynolds number. The Reynolds number = Re = V*D*S/N whe V = gas velocity D = diameter of the chamber S = gas density N = gas viscosity Gas viscosity is primarily a function of temperature. The impact of pressure is minor and the viscosity correction for pressure is less than 10% for up to 3.5 MPa. This means that the Reynolds number is proportional to the chamber's diameter and to the gas density, which is proportional to its pressure. The large Reynolds number is the primary cause of turbulence, combustion instability, and cavitation. Turbulence disturbs the protective layer of cool gas adjacent to the chamber's wall. Cavitation and vibration damages turbopumps. All of these fatal diseases are associated with large combustion chambers and large turbopumps. They do not exist in small combustion chambers and well designed, small turbopumps because their Reynolds number is small. This means that large rocket engines cannot be reusable and they are suitable for nuclear missiles only. Small rocket engines have another important advantage: they have superior thrust-to-weight ratio due to the Cube-Square Law which states that as scale is reduced, properties which are a function of volume (mass) will decrease faster than those which are a function of area (thrust and strength). Small, simple engines can be made by robots, so they can be very cheap. Large engines must be made by rocket plumbers. A rocket launcher made of a few hundred small engines is very reliable because the failure of a few engines out of a few hundred is not a catastrophe. The small engines have a small flaw: their small combustion chambers do not mix fuel and oxidizer well. This means that only volatile propellants (e.g., oxygen and methane) can be used in those engines, and the injector holes must be small. Small holes are more difficult to make than large holes and they may plug up with dirt. The best example of small, robust engines that can be made by industrial robots are engine clusters. They are robust enough to survive reentry, splashdown, and handling on a bobbing ship: http://www.islandone.org/LEOBiblio/S...engine_cluster |
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