ASTM E341-08(2020)
(Practice)Standard Practice for Measuring Plasma Arc Gas Enthalpy by Energy Balance
Standard Practice for Measuring Plasma Arc Gas Enthalpy by Energy Balance
SIGNIFICANCE AND USE
3.1 The purpose of this practice is to measure the total or stagnation gas enthalpy of a plasma-arc gas stream in which nonreactive gases are heated by passage through an electrical discharge device during calibration tests of the system.
3.2 The plasma arc represents one heat source for determining the performance of high temperature materials under simulated hyperthermal conditions. As such the total or stagnation enthalpy is one of the important parameters for correlating the behavior of ablation materials.
3.3 The most direct method for obtaining a measure of total enthalpy, and one which can be performed simultaneously with each material test, if desired, is to perform an energy balance on the arc chamber. In addition, in making the energy balance, accurate measurements are needed since the efficiencies of some plasma generators are low (as low as 15 to 20 % or less in which case the enthalpy depends upon the difference of two quantities of nearly equal magnitude). Therefore, the accuracy of the measurements of the primary variables must be high, all energy losses must be correctly taken into account, and steady-state conditions must exist both in plasma performance and fluid flow.
3.4 In particular it is noted that total enthalpy as determined by the energy balance technique is most useful if the plasma generator design minimizes coring effects. If nonuniformity exists the enthalpy determined by energy balance gives only the average for the entire plasma stream, whereas the local enthalpy experienced by a model in the core of the stream may be much higher. More precise methods are needed to measure local variations in total enthalpy.
SCOPE
1.1 This practice covers the measurement of total gas enthalpy of an electric-arc-heated gas stream by means of an overall system energy balance. This is sometimes referred to as a bulk enthalpy and represents an average energy content of the test stream which may differ from local values in the test stream.
1.2 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use.
1.3 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
General Information
Standards Content (Sample)
This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the
Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
Designation: E341 − 08 (Reapproved 2020)
Standard Practice for
1
Measuring Plasma Arc Gas Enthalpy by Energy Balance
This standard is issued under the fixed designation E341; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision.Anumber in parentheses indicates the year of last reapproval.A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope higher temperature. Across the arc, electrical energy is dissi-
pated by virtue of the resistance and current in the arc itself.A
1.1 This practice covers the measurement of total gas
heat balance of the system requires that the energy gained by
enthalpy of an electric-arc-heated gas stream by means of an
thegasmustbedefinedbythedifferencebetweentheincoming
overallsystemenergybalance.Thisissometimesreferredtoas
energy (electrical input) and total coolant and external losses.
abulkenthalpyandrepresentsanaverageenergycontentofthe
This is a direct application of the First Law of Thermodynam-
test stream which may differ from local values in the test
ics and, for the particular control volume cited here, can be
stream.
written as follows:
1.2 This standard does not purport to address all of the
EnergyIn 2 EnergyOut 5 EnergytoGas (1)
safety concerns, if any, associated with its use. It is the
responsibility of the user of this standard to establish appro-
n p
priate safety, health, and environmental practices and deter- ¯
EI 2 Q 2 W C ∆T 2∆T 2 M H
~ !
CR ( p 0 1 H O ( j j
H O 2 i
2 i
i51 j51
mine the applicability of regulatory limitations prior to use.
1.3 This international standard was developed in accor-
5W H 2 H
~ !
g g in
dance with internationally recognized principles on standard-
where:
ization established in the Decision on Principles for the
Development of International Standards, Guides and Recom-
C = water, specific heat,
p
mendations issued by the World Trade Organization Technical E = plasma arc voltage,
Barriers to Trade (TBT) Committee. H = exhaust gas enthalpy,
g
H = inlet gas enthalpy,
in
H = heat of vaporization corresponding to the material
2. Summary of Test Method
j
M ,
j
2.1 A measure of the total or stagnation gas enthalpy of
I = plasma arc current,
plasma-arc heated gases (nonreacting) is based upon the
M = mass loss rate of electrode insulator, interior metal
j
following measurements:
surface, etc.
2.1.1 Energy input to the plasma arc,
Q = energy convected and radiated from external sur-
CR
2.1.2 Energy losses to the plasma arc hardware and cooling
face of plasma generator,
water, and
∆T = T − T =water temperature rise during plasma
0 0 0
H2O 2 1
2.1.3 Gas mass flow.
arc operation,
2.2 The gas enthalpy is determined numerically by dividing ∆T = T −T =water temperature rise before plasma arc
1 2 1
H2O
operation,
the gas mass flow into the net power input to the plasma arc
T = water exhaust temperature during plasma arc
(power to plasma arc minus the energy losses).
0
2
operation,
2.3 Thetechniqueforperformingtheoverallenergybalance
T = inlet water temperature during plasma arc
0
1
is illustrated schematically in Fig. 1. The control volume for
operation,
theenergybalancecanberepresentedbytheentireenvelopeof
T = water exhaust temperature before plasma arc
2
this drawing. Gas enters at an initial temperature, or enthalpy,
operation,
andemergesatahigherenthalpy.Waterorothercoolantenters
T = inlet water temperature before plasma arc
1
the control volume at an initial temperature and emerges at a
operation,
W = gas flow rate,
g
W O = mass flow rate of coolant water, and
H
2
1
This practice is under the jurisdiction of ASTM Committee E21 on Space
¯
= averageoftheproductofvoltage, E,andcurrent, I.
EI
Simulation andApplications of SpaceTechnology and is the direct responsibility of
Subcommittee E21.08 on Thermal Protection.
2.4 AnexaminationofEq1showsthat,inordertoobtainan
Current edition approved Nov. 1, 2020. Published December 2020. Originally
evaluation of the energy content of the plasma for a specified
approvedin1968.Lastpreviouseditionapprovedin2015asE341–08(2015).DOI:
10.1520/E0341-08R20. setofoperatingconditions,measurementsmustbemadeofthe
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E341 − 08 (2020)
FIG. 1 Schematic Energy Balance Method for Determining Gas
Enthalpy
voltage and current, the mass-flow rate and temperature rise of nation enthalpy is one of the important parameters for corre-
the coolant, the mass-flow rate and inlet ambient temperature lating the behavior of ablat
...
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