Experimental and numerical studies of flush-mounted electrostatic probes in hypersonic ionized flows

Boyer, D. W.; Tournyan, K.; Russo, Anthony J.

doi:10.2514/6.1972-104

Cited by 5 publications

(5 citation statements)

References 14 publications

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“…To zeroth order, Eqs. (13) and (18) give (20) Equation (21) has two independent solutions. The first of these is e 0 = 0.…”

Section: Electrodementioning

confidence: 97%

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Ion boundary layer on a flat plate.

Boer

1973

AIAA Journal

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A formal asymptotic theory is presented for the flow of a slightly ionized, continuum gas past a flat plate at large negative electric potential, in the limit of large ion Reynolds number. The appropriate equations are solved by a perturbation method. To lowest order there is an outer region where the flow is unperturbed, and an ion sheath region which is adjacent to the plate. Between these two regions there is a transition region. By solving the equations for the transition region in the next higher order, and by using the method of matched asymptotic expansions, appropriate boundary conditions are found for the ion sheath region. The downstream solution for all quantities of interest in the latter region is obtained by the method of characteristics.

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“…To zeroth order, Eqs. (13) and (18) give (20) Equation (21) has two independent solutions. The first of these is e 0 = 0.…”

Section: Electrodementioning

confidence: 97%

“…(25) and (26) again yield Eqs. (20) and (21), respectively. The first-order equations for the outer region are It follows that n^ = 0.…”

Section: B Small Parameter Ftmentioning

confidence: 98%

Ion boundary layer on a flat plate.

Boer

1973

AIAA Journal

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“…In recent decades, most of the research is focused on shock tunnel or high enthalpy wind tunnel. Scharfman [10] and Boyer [11,12] obtained relevant theories and experience of probe application in shock tube and shock wind tunnel respectively. Menart et al [13] used electrostatic probe to diagnose electron density in high-speed plasma wind tunnel.…”

Section: Jinst 18 P05009mentioning

confidence: 99%

Study of plasma parameters in high enthalpy ICP-heated wind tunnel by using single Langmuir probe

Deng

Liu

et al. 2023

J. Inst.

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In this paper, a single probe (SP) has been designed for study plasma parameters of High enthalpy ICP-heated wind tunnel. It is found that the electron temperature in the core region is about 2.4 eV and that in the edge region is about 3–4 eV. At the maximum power of the High Enthalpy ICP-heated wind tunnel, the electron density reach 4.34 × 1013 cm-3. Meanwhile, the radial electron density distribution of SP is numerically integrated to calculate the line integral density, which is compared with the line integral density measured by 890 GHz HCN laser interferometer. The results show that the probe diagnosis results have the same trend as the laser diagnosis results. The line integral electron density measured by SP is 0.8 times higher than that measured by the HCN interferometer.

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“…Boundary-layer surveys were performed at distances from the leading edge of 6.75 and 11.25 in. At the most upstream location, the flow was considered to be two-dimensional since spanwise static-pressure measurements obtained by Boyer et al 15 at 5 and 10 in. from the leading edge, for similar flow conditions, indicated that the flow was uniform across the plate.…”

Section: Experimental Apparatus and Techniquementioning

confidence: 99%

Antenna admittance determination of electron density.

Dunn¹,

Blum²,

Swift³

et al. 1973

AIAA Journal

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A circular-aperture flush-mounted antenna for which a theoretical description of the antenna-plasma interaction has been developed was used to obtain a comparison between theoretical and experimental antenna admittance in the presence of ionized boundary layers of low-collision frequency. The antenna was located in a flat-plate model which was in turn located in the expanding-flow environment of a reflected-shock tunnel. The electron-temperature and electron-density distributions in the plate boundary layer at the antenna location were independently measured using voltage-swept thin-wire Langmuir probes for one of the test conditions. The antenna admittance was measured using a four-probe microwave reflectometer and these measured values were found to be in good agreement with those predicted from the theory. The response of this antenna was found to be very sensitive to changes in the profile and magnitude of electron density for 0.1 < n e /n e ) CT < 1.2. For values of n e /n e ) CT greater than 1.2 the phase rotation continued to provide a measurement of electron density. Measurements were also performed with another type of circular-aperture antenna which did not satisfy all of the constraints of the theoretical model, yet good agreement was obtained between the calculations and the experimental results. Nomenclature b s = normalized shunt susceptance E AP = electric field at aperture H* = complex conjugate of the magnetic field n e = electron density n e)cT -critical electron density for antenna frequency ds = surface element V 0 = impressed voltage Y a = aperture admittance 7 IN = normalized input-admittance, defined by Eq. (1) pi = normalized length of transmission line for matching network of the RAM C-II Antenna F = reflection coefficient defined by Eq.(2) d = boundary-layer thickness A G = guide wavelength A = mean free path v = collision frequency co = electromagnetic frequency x,y,z = coordinates of ground plane

show abstract

Experimental and numerical studies of flush-mounted electrostatic probes in hypersonic ionized flows

Cited by 5 publications

References 14 publications

Ion boundary layer on a flat plate.

Ion boundary layer on a flat plate.

Study of plasma parameters in high enthalpy ICP-heated wind tunnel by using single Langmuir probe

Antenna admittance determination of electron density.

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