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<p>A fundamental upper limit, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\hat{\eta}\)</EquationSource> </InlineEquation>, for the thrust efficiency of self-field magnetoplasmadynamic thrusters (MPDTs) is derived from the generalized Ohm’s law and the minimization of the volume integral of the square of the current density, which controls dissipation in the MPDT. It is found that <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\hat{\eta}\simeq1/(1+4/R_{m_{ci}}\xi^4)\)</EquationSource> </InlineEquation>, where <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\xi\)</EquationSource> </InlineEquation> is the MPDT scaling number (the total current normalized by the current at which an equipartition of power occurs between thrust and ionization), and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(R_{m_{ci}}\)</EquationSource> </InlineEquation> is the magnetic Reynolds number evaluated at <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\xi=1\)</EquationSource> </InlineEquation>.</p>

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Fundamental limit of self-field MPD thruster efficiency

  • 期刊论文

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  • 发表日期：

    2026年6月30日

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  • Edgar Choueiri

摘要

A fundamental upper limit, \(\hat{\eta}\) , for the thrust efficiency of self-field magnetoplasmadynamic thrusters (MPDTs) is derived from the generalized Ohm’s law and the minimization of the volume integral of the square of the current density, which controls dissipation in the MPDT. It is found that \(\hat{\eta}\simeq1/(1+4/R_{m_{ci}}\xi^4)\) , where \(\xi\) is the MPDT scaling number (the total current normalized by the current at which an equipartition of power occurs between thrust and ionization), and \(R_{m_{ci}}\) is the magnetic Reynolds number evaluated at \(\xi=1\) .