2018
DOI: 10.2514/1.b36782
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Hollow Cathode Simulations with a First-Principles Model of Ion-Acoustic Anomalous Resistivity

Abstract: A mathematical model of the ion-acoustic turbulence that is known to develop in the plume of hollow cathodes is presented. The model takes the form of a partial differential equation for the ion-acoustic wave energy density that can be solved concurrently with a set of the equations of motion that have been augmented with anomalous terms to account for the ion-acoustic turbulence-driven transport of momentum and heat for electrons and ions. Numerical simulations in two-dimensional axisymmetric geometry that so… Show more

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Cited by 32 publications
(28 citation statements)
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“…In light of this observation, we choose to neglect spatial dependence and evaluate this zero-dimensional to this position (z ¼ 8 mm). Moreover, as this is consistent with the previous numerical and experimental work, 12,28,29,43 we assume that turbulent resistive heating and ionization dominate the dynamics in the cathode plume. Under these simplifying assumptions, we write the electron energy equation as @nT e @t ¼ Q an À n ion ion ;…”
Section: Electron Energy Modelsupporting
confidence: 88%
“…In light of this observation, we choose to neglect spatial dependence and evaluate this zero-dimensional to this position (z ¼ 8 mm). Moreover, as this is consistent with the previous numerical and experimental work, 12,28,29,43 we assume that turbulent resistive heating and ionization dominate the dynamics in the cathode plume. Under these simplifying assumptions, we write the electron energy equation as @nT e @t ¼ Q an À n ion ion ;…”
Section: Electron Energy Modelsupporting
confidence: 88%
“…The cathode model described in [34] corroborates this explanation; however, one of the main assumption of the model is the perfect contact conditions among surfaces (thermal gluing), an ideal situation from which experiments deviate by an amount difficult to be quantified. Further analyses will be performed, including the evaluation of the possible presence of ion acoustic turbulence at the keeper exit, which may be the cause of the increase in the discharge voltage as well [18,49].…”
Section: Hollow Cathodes Performancementioning
confidence: 99%
“…By solving the unsteady fluid equations along the axial and radial directions, these models are capable of investigating the plasma instabilities established in the plume region. A significant result obtained by these codes is the prediction of the onset of the so-called plume mode of operation developing inside the plume [8], [9], a well-known instability appearing when the discharge current increases or the propellant flow rate is reduced, which leads to a larger energetic ion bombardment of the keeper and orifice plate, ultimately reducing the cathode operating life. Despite these favorable advantages of 2-D models, their main setback is the computational cost and complexity of the simulation which makes them unsuitable for cathode prototyping.…”
Section: Introductionmentioning
confidence: 99%