A miniature electrothermal thruster using microwave-excited plasmas: a numerical design consideration

A miniature electrothermal thruster has been proposed using azimuthally symmetric microwave-excited plasmas, and numerical investigations have been conducted for design consideration. The microthruster consists of a microplasma source and a micronozzle. The former, made of a dielectric chamber 1 mm in radius and 10 mm long covered with a grounded metal, produces high temperature plasmas in Ar at around atmospheric pressures. The latter converts such high thermal energy into directional kinetic energy through supersonic nozzle expansion to obtain the thrust required. The numerical model consists of three modules: a global model and an electromagnetic model for microplasma sources and a fluid model for micronozzle flows. Simulation was conducted separately for the plasma source and nozzle flow. The numerical results indicated that the microwave power absorbed in plasmas increases with increasing microwave frequency and relative permittivity of dielectrics, to achieve plasma density in the range 1019–1022 m−3, electron temperature in the order of 104 K and heavy particle temperature in the range 103–104 K at a microwave input power of ≤ 10 W; in practice, surface waves tend to be established in the microplasma source at high frequencies and permittivities. A certain combination of frequency and permittivity was found to significantly enhance the power absorption, enabling the microplasma source to absorb almost all microwave input powers. Moreover, the micronozzle flow was found to be very lossy because of high viscosity in thick boundary layers, implying that shortening the nozzle length with increasing half-cone angles suppresses the effects of viscous loss and thus enhances the thrust performance. A thrust of 2.5–3.5 mN and a specific impulse of 130–180 s were obtained for a given microwave power range of interest, which is applicable to a station-keeping manoeuvre for microspacecraft less than 10 kg.

[1]  G. Collins,et al.  Radio-frequency-driven near atmospheric pressure microplasma in a hollow slot electrode configuration , 2003 .

[2]  M. Lieberman,et al.  Global model of Ar, O2, Cl2, and Ar/O2 high‐density plasma discharges , 1995 .

[3]  H. Sugai,et al.  Local resonant excitation of plasma oscillations in a planar surface-wave plasma device , 1999 .

[4]  Y. Yin,et al.  Fabrication and characterization of a micromachined 5 mm inductively coupled plasma generator , 2000 .

[5]  H. Güntherodt,et al.  Development of a mesoscale/nanoscale plasma generator , 1996 .

[6]  U. Kortshagen,et al.  Dispersion characteristics and radial field distribution of surface waves in the collisional regime , 1992 .

[7]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[8]  R. Lindsay,et al.  Elements of gasdynamics , 1957 .

[9]  K. Yee Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[10]  Jaeyoung Park,et al.  Gas Breakdown in an Atmospheric Pressure Radio-Frequency Capacitive Plasma Source , 2001 .

[11]  D. J. Economou,et al.  Effect of metastable oxygen molecules in high density power-modulated oxygen discharges , 2000 .

[12]  J. Anderson,et al.  Computational fluid dynamics : the basics with applications , 1995 .

[13]  J. Mostaghimi,et al.  A two‐temperature model of the inductively coupled rf plasma , 1987 .

[14]  John P. Verboncoeur,et al.  Global modeling of a dielectric barrier discharge in Ne-Xe mixtures for an alternating current plasma display panel , 1999 .

[15]  M. Hoffert,et al.  Quasi‐One‐Dimensional, Nonequilibrium Gas Dynamics of Partially Ionized Two‐Temperature Argon , 1967 .

[16]  Y. Bartosiewicz,et al.  A self-consistent two-temperature model for the computation of supersonic argon plasma jets , 2002 .

[17]  F. Iza,et al.  Self-organized filaments, striations and other nonuniformities in nonthermal atmospheric microwave excited microdischarges , 2005, IEEE Transactions on Plasma Science.

[18]  Hideo Sugai,et al.  Plasma Absorption Probe for Measuring Electron Density in an Environment Soiled with Processing Plasmas , 1999 .

[19]  Graham V. Candler,et al.  Predicting failure of the continuum fluid equations in transitional hypersonic flows , 1994 .

[20]  D. Graves,et al.  Neutral gas temperatures measured within a high-density, inductively coupled plasma abatement device , 2002 .

[21]  Sumio Ashida,et al.  Spatially averaged (global) model of time modulated high density argon plasmas , 1995 .

[22]  H. Sugai,et al.  Advanced large-area microwave plasmas for materials processing , 2003 .

[23]  A. W. Trivelpiece,et al.  Space Charge Waves in Cylindrical Plasma Columns , 1959 .

[24]  M. Gad-el-Hak The MEMS Handbook , 2001 .

[25]  M. Nagatsu,et al.  High-density flat plasma production based on surface waves , 1998 .

[26]  Michel Moisan,et al.  Plasma sources based on the propagation of electromagnetic surface waves , 1991 .

[27]  Valery Godyak,et al.  Smooth plasma-sheath transition in a hydrodynamic model , 1990 .

[28]  Kouichi Ono,et al.  Fine structure of the electromagnetic fields formed by backward surface waves in an azimuthally symmetric surface wave-excited plasma source , 2003 .

[29]  E. Voges,et al.  A new low-power microwave plasma source using microstrip technology for atomic emission spectrometry , 2000 .

[30]  Suk C. Kim Calculations of low-Reynolds-number resistojet nozzles , 1994 .

[31]  Y. Horiike,et al.  Capacitively Coupled Microplasma Source on a Chip at Atmospheric Pressure , 2001 .

[32]  Jeffrey Hopwood,et al.  Langmuir probe diagnostics of a microfabricated inductively coupled plasma on a chip , 2003 .

[33]  Theo G. Keith,et al.  Effect of ambient pressure on the performance of a resistojet , 1989 .

[34]  Maher I. Boulos,et al.  Effect of frequency on local thermodynamic equilibrium conditions in an inductively coupled argon plasma at atmospheric pressure , 1990 .

[35]  Carole Rossi,et al.  Prediction of the performance of a Si-micromachined microthruster by computing the subsonic gas flow inside the thruster , 2000 .

[36]  H. Tahara,et al.  Emission spectroscopic measurement of ammonia or mixture of nitrogen and hydrogen plasma in a direct-current arc jet generator with an expansion nozzle , 1998 .

[37]  Joseph Yan,et al.  A two-temperature model for a microwave generated argon plasma jet at atmospheric pressure , 2003 .

[38]  P. Nghiem,et al.  Wave propagation and diagnostics in argon surface-wave discharges up to 100 Torr , 1987 .

[39]  G. Mur Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations , 1981, IEEE Transactions on Electromagnetic Compatibility.

[40]  D. Schram,et al.  A two-dimensional nonequilibrium model of cascaded arc plasma flows , 1991 .