<p>Ground tests of microwave electrothermal thrusters (METs) are conducted under 1 g, where buoyant forces distort the plasma morphology and bias performance data. We investigate these effects in a 2.45-GHz, TM<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(^z_{011}\)</EquationSource> </InlineEquation> cavity thruster operated with nitrogen over 200–2000 sccm and at 80–600 W. Three dimensionless surrogates—a modified Bond number <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(B_\mathrm{o}\)</EquationSource> </InlineEquation> (buoyancy), a swirl group <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\Theta\)</EquationSource> </InlineEquation>, and an electromagnetic anchoring group <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\Pi_{\mathrm{EM}}\)</EquationSource> </InlineEquation>—bring all experimental points onto a single, self-consistent scaling curve. Guided by these surrogates, we then recast the horizontal-nozzle data into a centered, reduced-order surrogate: a log-linear form in <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\dot{m}\)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(P_{\mathrm{in}}\)</EquationSource> </InlineEquation>, and the stagnation-pressure ratio <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\)</EquationSource> </InlineEquation> with a single exponential nonlinearity in <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\)</EquationSource> </InlineEquation>. The inferred elasticities show displacement grows with mass flow while remaining only weakly sensitive to small, local changes in <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(P_{\mathrm{in}}\)</EquationSource> </InlineEquation> or <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\)</EquationSource> </InlineEquation>; the dominant response is a sharp departure once <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\)</EquationSource> </InlineEquation> moves away from its near-optimal neighborhood. Orientation controls performance: with the nozzle upward, buoyancy helps anchor the discharge at the throat and <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\)</EquationSource> </InlineEquation> often approaches <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\sim3{:}1\)</EquationSource> </InlineEquation> (peaking near 3.3–3.5), whereas in horizontal/downward tests buoyancy displaces the bubble off-axis, reducing <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\)</EquationSource> </InlineEquation> by <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(\sim20-40\%\)</EquationSource> </InlineEquation>. Equal top–bottom injection maximizes swirl confinement and suppresses buoyant drift. The surrogate offers a compact path to correct 1-g measurements toward flight-like conditions and to couple directly with thrust and <InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(I_{\mathrm{sp}}\)</EquationSource> </InlineEquation> models for MET design.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Plasma-buoyancy dynamics in microwave electrothermal thrusters: experimental insights

  • Saptarshi Biswas,
  • Sven G. Bilén

摘要

Ground tests of microwave electrothermal thrusters (METs) are conducted under 1 g, where buoyant forces distort the plasma morphology and bias performance data. We investigate these effects in a 2.45-GHz, TM \(^z_{011}\) cavity thruster operated with nitrogen over 200–2000 sccm and at 80–600 W. Three dimensionless surrogates—a modified Bond number \(B_\mathrm{o}\) (buoyancy), a swirl group \(\Theta\) , and an electromagnetic anchoring group \(\Pi_{\mathrm{EM}}\) —bring all experimental points onto a single, self-consistent scaling curve. Guided by these surrogates, we then recast the horizontal-nozzle data into a centered, reduced-order surrogate: a log-linear form in \(\dot{m}\) , \(P_{\mathrm{in}}\) , and the stagnation-pressure ratio \(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\) with a single exponential nonlinearity in \(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\) . The inferred elasticities show displacement grows with mass flow while remaining only weakly sensitive to small, local changes in \(P_{\mathrm{in}}\) or \(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\) ; the dominant response is a sharp departure once \(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\) moves away from its near-optimal neighborhood. Orientation controls performance: with the nozzle upward, buoyancy helps anchor the discharge at the throat and \(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\) often approaches \(\sim3{:}1\) (peaking near 3.3–3.5), whereas in horizontal/downward tests buoyancy displaces the bubble off-axis, reducing \(P_{0,\mathrm{h}}/P_{0,\mathrm{c}}\) by \(\sim20-40\%\) . Equal top–bottom injection maximizes swirl confinement and suppresses buoyant drift. The surrogate offers a compact path to correct 1-g measurements toward flight-like conditions and to couple directly with thrust and \(I_{\mathrm{sp}}\) models for MET design.