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Recently I found an interesting publication [1] inter alia describing an alrorithm of determination of so called "characteristic speed". This speed corresponds to velocity of the projectile when the efficiency of the accelerator increases to 50 % and more. Besides, the authors refer to earlier paper of the soviet scientists [2]. Their argumentation is briefly following: Kirchhoff's law for coilgun circuit is
where U and _{L}U - inductive and resistive voltage drops, respectively._{R}Multiplying both parts to current Suggesting a multistage system with aprroximately constant current, we should write where Combining the equations above, we can get an expression for the speed when the ohmic dissipative power equals to kinetic power: Here, the inductance change is expressed via the difference between its maximal value L (without the projectile). _{0}l is length of the coil.
The evaluations of CS for various types of electromagnetic accelerators can be found in literature, but I didn't discover it for reluctance accelerator. So, suggesting my own experience in gaussgun-building, I became interested in assessment of That's what I got:
It is clear from the table that we should have velocities of hundreds meters per second to obtain high-efficient coilguns. None of the enthusiast-built models have such parameters for today. However, there is no limitations to do that, and the only challenge is to assemble long enough accelerator equipped with a sufficient power source.
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