CN110082384A - Flow Behavior of Solid High Energy Propellant column produces gas and generates hole or cracking time prediction technique - Google Patents
Flow Behavior of Solid High Energy Propellant column produces gas and generates hole or cracking time prediction technique Download PDFInfo
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Abstract
It provides a kind of Flow Behavior of Solid High Energy Propellant column and produces the prediction technique that gas generates cavity or cracking time, step is: establishing the prediction model that high-energy solid propellant produces gas cracking time by theoretical and test result, and some of which parameter is quantized to the small size solid propellant sample of scaled down；Then pass through the size of measurement small size solid propellant sample, thermal weight loss, tensile strength and production gas cracking time, and the size of Flow Behavior of Solid High Energy Propellant column, parameter is substituted into the prediction model for producing gas cracking time, gas cracking time is produced under the conditions of predictable high-energy solid propellant storage at normal temperature, guarantees Grain structure reliability.Non-destructive can be achieved in the present invention, quantitative assessment big-block engine produces gas cracking time, has the advantages that test is safe, easy to operate, economical quick.
Description
Technical field
The present invention relates generally to Flow Behavior of Solid High Energy Propellant column technology field, promotes more particularly to a kind of high-energy solid
Agent powder column produces gas and generates hole or cracking time prediction technique.
Background technique
Flow Behavior of Solid High Energy Propellant column is a kind of using the polyethers of naked nitric acid ester plasticising as adhesive, fills a large amount of high energy oxygen
The thermoset cross-linked propellant of agent HMX, AP and aluminium powder (Al) etc., it collects modified double base propellant and composite solidpropellant
Advantage, has excellent energy characteristics and mechanical property.Due to containing a large amount of nitrates, medicine may occur in storage process
Column Thermochemical Decomposition or gasification and cause gas buildup, generate internal defect, generate micro-crack and hole, powder column and finally send out
Raw structure destroys (crackle, hole), influences engine structural integrity and combustion stability, causes engine ignition failure even
Explosion, seriously threatens guided missile safety in utilization.Therefore, evaluation high-energy propellant is that high energy promotes because heat ageing generates structure destruction
The essential content of agent.It is larger that propellant charge is especially some strategic missile COMPOSITE SOLID PROPELLANT column volumes, if with
Live shell carry out test be it is uneconomical and unsafe, in order to assess whether occur under the usual storage requirement of powder column containing nitrate it is interior
Portion's cracking behaviors establish the high-energy propellant containing temperature, dimensional effect and produce gas cracking model, with smaller size propellant sample mold
Cracking situation in quasi- motor grain storage process, thus when predicting that large-scale Flow Behavior of Solid High Energy Propellant column powder charge produces gas cracking
Between, ensure engine structural integrity.
Summary of the invention
Hole is generated the object of the present invention is to provide a kind of Flow Behavior of Solid High Energy Propellant major gene production gas or cracking time is pre-
Survey method, this method establish the production gas cracking time prediction model containing temperature, dimensional effect, can be used by this model smaller
The production gas split test of size propellant sample substitutes practical powder column, to predict that big-block engine powder charge produces gas cracking time.
Technical thought of the invention: being primarily based on theory deduction and experiment conclusion, establishes the production of Flow Behavior of Solid High Energy Propellant column
Gas generates the prediction model of hole or cracking time, and some of which parameter or variable are replaced with small size propellant sample
Generation, or establish function of the small size propellant sample of Flow Behavior of Solid High Energy Propellant column and scaled down on same parameters and close
System；Then high temperature accelerated aging test is carried out using small size propellant sample, measurement propellant thermal weight loss rate, drawing by high temperature are strong
Degree, cracking time；Measure the parameters such as propellant room temperature thermal weight loss rate, room temperature tensile strength.Parameters obtained is substituted into model, it can be with
The time cracked under the conditions of prediction big-block engine powder column storage at normal temperature because producing gas.
The technical scheme is that a kind of Flow Behavior of Solid High Energy Propellant column, which produces gas, generates hole or cracking time prediction side
Method, the method produce gas based on the Flow Behavior of Solid High Energy Propellant column of tensile strength, weight-loss ratio, powder column size, time, temperature T and produce
The prediction model of raw hole or cracking time, the prediction model are indicated with following formula (1):
Wherein:
σm,1、σm,2Respectively Flow Behavior of Solid High Energy Propellant column is in T1、T2The maximum tensile strength under two different temperatures；
Rw,t,1、Rw,t,2Respectively Flow Behavior of Solid High Energy Propellant column is in temperature T1By time tR,1Weight-loss ratio afterwards, and in temperature T2By
Time tR,2Weight-loss ratio afterwards, dimensionless；tR,1、tR,2Respectively temperature is T1When Flow Behavior of Solid High Energy Propellant column weight-loss ratio reach
Rw,t1When time experienced and temperature be T2When Flow Behavior of Solid High Energy Propellant column weight-loss ratio reach Rw,t2When time experienced,
Unit is day；T1、T2Distinguish two different test temperatures, wherein T2For the normal storage temperature of Flow Behavior of Solid High Energy Propellant column
Degree；r1For according to the radius of the small size solid propellant sample of Flow Behavior of Solid High Energy Propellant column Scaling, r2For high-energy solid
The radius of propellant charge；t1To be generated according to the small size solid propellant sample of Flow Behavior of Solid High Energy Propellant column Scaling
The time of hole or cracking, t2The time of hole or cracking is generated for Flow Behavior of Solid High Energy Propellant column；E is the bottom of natural logrithm
Number, value are approximately equal to 2.71828.
The method of the present invention generates hole by the small size solid propellant sample of Flow Behavior of Solid High Energy Propellant column Scaling
The experiment of the time of hole or cracking derives the time of Flow Behavior of Solid High Energy Propellant column itself life hole or cracking, can be to avoid progress
The destructive test of Flow Behavior of Solid High Energy Propellant column improves test safety, easy to operate, economical quick, can be used for quantitative
It evaluates big-block engine and produces gas cracking time.
Further, prediction model shown in above-mentioned formula (1) foundation the following steps are included:
S11, when setting temperature T Flow Behavior of Solid High Energy Propellant column by time tRWeight-loss ratio R afterwardsw, then unit matter at this temperature
The amount of the gaseous matter generated in amount, unit time is shown in formula (2):
Wherein:
tRWhen temperature is T, Flow Behavior of Solid High Energy Propellant column sample weight loss rate reaches RwTime experienced, day；
Rw,tWhen temperature is T, Flow Behavior of Solid High Energy Propellant column sample passes through time tRWeight-loss ratio afterwards, dimensionless；
M- Flow Behavior of Solid High Energy Propellant column decomposes the average molar mass for generating gas, gmol-1；
S12, according to experimental studies results determine propellant different temperatures under thermal weight loss rate be constant conclusion, by body
The long-pending relationship V=W/ ρ with quality and density, obtains under certain temperature, unit volume Flow Behavior of Solid High Energy Propellant column gas production rate
As shown in formula (3):
Wherein:
For constant；
Q- unit volume Flow Behavior of Solid High Energy Propellant column in temperature T generates the rate of gas, i.e. unit time, unit
The amount of gaseous product, molm in the Flow Behavior of Solid High Energy Propellant column of volume-3·day-1；
ρ-solid propellant density, kgm-3；
S13, the theoretical analysis and verification experimental verification, the timing of temperature one, gas buildup at Flow Behavior of Solid High Energy Propellant column center
Concentration and powder column radius r are exponentially increased relationship, and the amount of gas is indicated with formula (4) at center:
Q '=qk ' er (4)
Wherein, when q ' is temperature T, radius is unit volume propellant gas at the Flow Behavior of Solid High Energy Propellant column center of r
Product gas production rate, molm-3·day-1；K ' is certain constant；
S14, according to Henry law, the internal stress at propellant center is equal to the pressure for generating gas, and calculation formula is shown in formula
(5):
P=qvt/H (5)
In formula:
The period of storage of t- Flow Behavior of Solid High Energy Propellant column, day；
The generation gas that H- is indicated with volume solubility coefficient, mPa in solid propellant-1·m-3；
The pressure that p- Flow Behavior of Solid High Energy Propellant column is subject to, Pa；
qvUnit volume propellant is at Flow Behavior of Solid High Energy Propellant column center to produce the gas production of gas product representation, unit
m·day-1·m-3；
S15, by The Ideal-Gas EquationAnd the relationship V=W/ ρ of volume and quality and density, it obtains
Unit volume propellant is at Flow Behavior of Solid High Energy Propellant column center to produce the gas production of gas product representation as qv, calculation formula is such as
Shown in formula (6):
In formula:
The pressure that P-Flow Behavior of Solid High Energy Propellant column is subject to, Pa；
R-gas constant, 8.314Jmol-1·K-1；
T-propellant storage temperature, K；
Formula (6) are substituted into formula (5), formula (7) can be obtained:
S16, because different temperatures under propellant density p and generate gas room temperature average molecular weight M be basically unchanged, then by
Formula (3), (4), (7) obtain the relationship for the pressure that Flow Behavior of Solid High Energy Propellant column is subject under different temperatures and period of storage, see formula
(8):
Wherein:
P1、P2Respectively Flow Behavior of Solid High Energy Propellant column is in T1、T2The maximum pressure that can bear under two different temperatures
Power；
S17, assume that solubility parameter of the decomposition product gas in propellant does not change with temperature, even H2/H1=1；
Then formula (8) is scaled Flow Behavior of Solid High Energy Propellant major gene under different temperatures and produces the pass that cracking time occurs for gas
System, sees formula (9):
S18, when the internal pressure that Flow Behavior of Solid High Energy Propellant column is subject to meets or exceeds propellant the maximum tensile strength, setting
Flow Behavior of Solid High Energy Propellant column cracks, therefore formula (9) is write as shown in formula (1):
As can be seen that utilizing the small size solid propellant of Flow Behavior of Solid High Energy Propellant column Scaling in the method for the present invention
The experiment that sample generates the time of hole or cracking derives the time of Flow Behavior of Solid High Energy Propellant column itself life hole or cracking
Model foundation process is all based on theoretical calculation and experiment conclusion, without ivory-towered hypothesis and qualifications, model foundation
Scientific and reasonable, strong applicability.
Further, above-mentioned Flow Behavior of Solid High Energy Propellant column is in temperature T1The maximum tensile strength σm,1With in temperature T2Most
Big tensile strength sigmam,2It is obtained by measuring dumbbell shape solid propellant sample identical with Flow Behavior of Solid High Energy Propellant column ingredient.
As long as it is identical as Flow Behavior of Solid High Energy Propellant column that the dumbbell shape solid propellant sample meets ingredient, conventionally test is
Can, it can be according to the size of experiment actual design sample.
Further, above-mentioned Flow Behavior of Solid High Energy Propellant column is in temperature T1By time tR,1Weight-loss ratio R afterwardsw,t1With in temperature
Spend T2By time tR,2Weight-loss ratio R afterwardsw,t2By measuring cubic shaped identical with Flow Behavior of Solid High Energy Propellant column ingredient
The thermal weight loss rate of propellant sample obtains.
Equally, as long as to meet ingredient identical as Flow Behavior of Solid High Energy Propellant column for the cubic shaped propellant sample,
Size needs to be designed according to experiment.
Further, the size of above-mentioned dumbbell shape solid propellant sample and/or cubic shaped propellant sample is obvious
Less than Flow Behavior of Solid High Energy Propellant column.
Further, the above method further includes steps of
It is solid to measure small size according to the small size solid propellant sample of Flow Behavior of Solid High Energy Propellant column Scaling for preparation
Body propellant radius of specimen r1, while measuring the radius r of motor grain2,；
Carry out propellant sample high temperature T1With room temperature T2Under thermal weight loss test, record Rw,t,1, Rw,t,2, tR,1, tR,2；
Measure propellant sample high temperature T1With room temperature T2Under tensile strength sigmam,1And σm,2；
Measure small size solid propellant sample high temperature T1Under production gas generate hole or cracking time t1；It then will measurement
Parameter brings above-mentioned formula 1 into) prediction model, obtain producing gas under the conditions of Flow Behavior of Solid High Energy Propellant column motor grain storage at normal temperature
Generate hole or cracking time t2。
The advantages of the present invention over the prior art are that:
1) present invention establishes the prediction model that Flow Behavior of Solid High Energy Propellant column produces gas cracking, realizes non-destructive, quantitatively comments
Valence big-block engine produces gas cracking time.
2) a kind of amount of samples of the present invention is few, safe and simple, efficiently can predict that big-block engine powder charge accumulating structure is complete
The method of whole property.
Specific embodiment
In order to make those skilled in the art more fully understand the present invention, With reference to embodiment to the present invention make into
One step is described in detail.
A kind of Flow Behavior of Solid High Energy Propellant column produces gas and generates hole or cracking time prediction technique, including the following steps:
(1) a motor charge formula is selected, motor grain radius r is measured2, (temperature is distinguished for high temperature and room temperature
It is denoted as T1And T2) under propellant the maximum tensile strength σm.1And σm.2。
(2) thermal weight loss rate is tested.Propellant sample is cut into the certain square of side length, high temperature examination is respectively put into after sealing
In the drier of tryoff and storage at normal temperature, the sample under two kinds of storage requirements periodically weighs sample quality and calculates thermal weight loss
Rate, is denoted as and R respectivelyw,t,1/tR,1、Rw,t,2/tR,2。
(3) carry out high temperature to accelerate to produce gas split test.It is r that sample, which is cut into radius,1, side length >=3r1Cylindrical body, be put into
Temperature is T1High-temperature test chamber in, reasonable arrangement sample time takes out sample from baking oven, cut observation section.Observation
It is the terminal of test when having crackle or stomata to section, the time is denoted as t1。
(4) by above data, in the formula according to shown in specification (1), i.e., under the conditions of predictable engine storage at normal temperature because
Produce the time of gas cracking.
Embodiment 2
Flow Behavior of Solid High Energy Propellant column produces gas and generates hole or cracking time prediction technique, including the following steps:
1) certain formula NEPE propellant, motor charge column diameter are 200mm, the tensile strength point at 90 DEG C and 25 DEG C
It Wei not σm,90℃=0.32MPa (90 DEG C of test temperature, pulling rate 2mm/min) and σm,25℃=0.62MPa (25 DEG C of test temperature, pulling rate
2mm/min)。
2) propellant sample is cut into the certain square of side length, 90 DEG C of insulating boxs and 25 DEG C of constant temperature is respectively put into after sealing
In drier, the thermal weight loss rate under different temperatures is shown in Table 1.
Thermal weight loss rate under 1 propellant different temperatures of table
| T/℃ | tR/day | Rw,/% |
| 90 | 11 | 0.77 |
| 25 | 1032 | 0.28 |
3) propellant is made to the cylindrical body of diameter 20mm, high 90mm, is put into 90 DEG C of insulating boxs.It periodically takes out to cut and see
Examine section.Observe terminal when there are crackle or stomata in section for test.It is t that record, which obtains cracking time,b,1=6d.
4) from thermal weight loss test, production gas split test and mechanical experimental results under two temperatures:
T1=90 DEG C=363.15K, r1=10mm, tR,1=11d, Rw,t1=0.77%, t1=6d, P1=σm,90℃=
0.32MPa
T2=25 DEG C=298.15K, r2=100mm, tR,2=1032d, Rw,t2=0.28%, P2=σm,25℃=0.62MPa
Data are substituted into following formula
Acquire motor grain cracking time t under room temperature2=t25℃≈ 17.7a, i.e. radius are the engine room temperature of 200mm
Storage cracking time is at least 17.7a.
Embodiment 3
1) certain is formulated NEPE propellant, and the tensile strength at 90 DEG C and 70 DEG C is respectively σm,90℃=0.33MPa (test temperature
90 DEG C of degree, pulling rate 2mm/min) and σm,25℃=0.38MPa (70 DEG C of test temperature, pulling rate 2mm/min).
2) propellant sample is cut into the certain square of side length, 90 DEG C of insulating boxs and 70 DEG C of constant temperature is respectively put into after sealing
In drier, the thermal weight loss rate under different temperatures is shown in Table 2.
Thermal weight loss rate under 2 propellant different temperatures of table
| T/℃ | tR/day | Rw,/% |
| 90 | 14 | 0.72 |
| 70 | 234 | 0.47 |
3) propellant is made to the cylindrical body of diameter 20mm, high 90mm, is respectively put into 90 DEG C and 70 DEG C of insulating boxs.Periodically
It takes out and cuts observation section.Observe terminal when there are crackle or stomata in section for test.It is t that record, which obtains cracking time,b,1=
6d、tb,2=96d.
4) from thermal weight loss test, production gas split test and mechanical experimental results under two temperatures:
T1=90 DEG C=363.15K, r1=10mm, tR,1=14d, Rw,t1=0.72%, t1=6d, P1=σm,90℃=
0.33MPa；
T2=DEG C=243.15K, r2=10mm, tR,2=234d, Rw,t2=0.47%, P2=σm,25℃=0.38MPa；
Data are substituted into following formula
It acquires 70 DEG C and issues propellant sample cracking time t2=t75℃≈91d.When with 70 DEG C of propellant practical production gas crackings
Between tb,2=96d is compared, and body produces gas cracking time and will more pacify when estimating Flow Behavior of Solid High Energy Propellant column storage at normal temperature with this method
Entirely.
Various embodiments of the present invention are described above, above description is exemplary, and non-exclusive, and
It is not limited to disclosed each embodiment.Without departing from the scope and spirit of illustrated each embodiment, for this skill
Many modifications and changes are obvious for the those of ordinary skill in art field.Therefore, protection scope of the present invention is answered
This is subject to the protection scope in claims.
Claims (6)
1. a kind of Flow Behavior of Solid High Energy Propellant column produces gas and generates hole or cracking time prediction technique, which is characterized in that the side
Method produces gas generation hole based on the Flow Behavior of Solid High Energy Propellant column of tensile strength, weight-loss ratio, powder column size, time, temperature T or opens
The prediction model of time is split, the prediction model is indicated with following formula (1):
Wherein:
σm,1、σm,2Respectively Flow Behavior of Solid High Energy Propellant column is in T1、T2The maximum tensile strength under two different temperatures；
Rw,t,1、Rw,t,2Respectively Flow Behavior of Solid High Energy Propellant column is in temperature T1By time tR,1Weight-loss ratio afterwards, and in temperature T2
By time tR,2Weight-loss ratio afterwards, dimensionless；
tR,1、tR,2Respectively temperature is T1When Flow Behavior of Solid High Energy Propellant column weight-loss ratio reach Rw,t1When time experienced, and temperature
Degree is T2When Flow Behavior of Solid High Energy Propellant column weight-loss ratio reach Rw,t2When time experienced, unit day；
T1、T2Distinguish two different test temperatures, wherein T2For the normal storage temperature of Flow Behavior of Solid High Energy Propellant column；
r1For according to the radius of the small size solid propellant sample of Flow Behavior of Solid High Energy Propellant column Scaling, r2It is solid for high energy
The radius of body propellant charge；
t1For according to the small size solid propellant sample of Flow Behavior of Solid High Energy Propellant column Scaling generate hole or cracking when
Between, t2The time of hole or cracking is generated for Flow Behavior of Solid High Energy Propellant column；
E is the truth of a matter of natural logrithm, and value is approximately equal to 2.71828.
2. Flow Behavior of Solid High Energy Propellant column as described in claim 1 produces gas and generates hole or cracking time prediction technique, special
Sign is, the foundation of prediction model shown in the formula (1) the following steps are included:
S11, when setting temperature T Flow Behavior of Solid High Energy Propellant column by time tRWeight-loss ratio R afterwardsw, then at this temperature unit mass,
The amount of the gaseous matter generated in unit time is shown in formula (2):
Wherein:
tRWhen temperature is T, Flow Behavior of Solid High Energy Propellant column sample weight loss rate reaches RwTime experienced, day；
Rw,tWhen temperature is T, Flow Behavior of Solid High Energy Propellant column sample passes through time tRWeight-loss ratio afterwards, dimensionless；
M- Flow Behavior of Solid High Energy Propellant column decomposes the average molar mass for generating gas, gmol-1；
S12, according to experimental studies results determine propellant different temperatures under thermal weight loss rate be constant conclusion, by volume
With the relationship V=W/ ρ of quality and density, obtain under certain temperature, unit volume Flow Behavior of Solid High Energy Propellant column gas production rate is such as
Shown in formula (3):
Wherein:
For constant；
Q- unit volume Flow Behavior of Solid High Energy Propellant column in temperature T generates the rate of gas, i.e. unit time, unit volume
Flow Behavior of Solid High Energy Propellant column in gaseous product amount, molm-3·day-1；
ρ-solid propellant density, kgm-3；
S13, the theoretical analysis and verification experimental verification, the timing of temperature one, gas buildup concentration at Flow Behavior of Solid High Energy Propellant column center
It is exponentially increased relationship with powder column radius r, unit volume propellant gas product gas production rate is indicated with formula (4) at center:
Q '=qk ' er (4)
Wherein, when q ' is temperature T, radius is unit volume propellant gas product at the Flow Behavior of Solid High Energy Propellant column center of r
Gas production rate, molm-3·day-1；K ' is permanent number；
S14, according to Henry law, the internal stress at propellant center is equal to the pressure for generating gas, and calculation formula is shown in formula (5):
P=qvt/H (5)
In formula:
The period of storage of t- Flow Behavior of Solid High Energy Propellant column, day；
The generation gas that H- is indicated with volume solubility coefficient, mPa in solid propellant-1·m-3；
The pressure that p- Flow Behavior of Solid High Energy Propellant column is subject to, Pa；
qvUnit volume propellant is at Flow Behavior of Solid High Energy Propellant column center to produce the gas production of gas product representation, unit m
day-1·m-3；
S15, by The Ideal-Gas EquationAnd the relationship V=W/ ρ of volume and quality and density, obtain high energy
Unit volume propellant is at solid propellant grain center to produce the gas production of gas product representation as qv, calculation formula such as formula
(6) shown in:
In formula:
The pressure that P-Flow Behavior of Solid High Energy Propellant column is subject to, Pa；
R-gas constant, 8.314Jmol-1·K-1；
T-propellant storage temperature, K；
Formula (6) are substituted into formula (5), formula (7) can be obtained:
S16, the density p because of propellant under different temperatures and generation gas room temperature average molecular weight M are basically unchanged, then by formula
(3), (4), (7) obtain the relationship for the pressure that Flow Behavior of Solid High Energy Propellant column is subject under different temperatures and period of storage, see formula
(8):
Wherein:
P1、P2Respectively Flow Behavior of Solid High Energy Propellant column is in T1、T2The maximum pressure that can bear under two different temperatures；
S17, assume that solubility parameter of the decomposition product gas in propellant does not change with temperature, even H2/H1=1；
Then formula (8) is scaled Flow Behavior of Solid High Energy Propellant major gene under different temperatures and produces the relationship that cracking time occurs for gas, seen
Formula (9):
S18, when the internal pressure that Flow Behavior of Solid High Energy Propellant column is subject to meets or exceeds propellant the maximum tensile strength, set high energy
Solid propellant grain cracks, therefore formula (9) is write as shown in formula (1):
3. Flow Behavior of Solid High Energy Propellant column as described in claim 1 produces gas and generates hole or cracking time prediction technique, special
Sign is that the Flow Behavior of Solid High Energy Propellant column is in temperature T1The maximum tensile strength σm,1With in temperature T2The maximum tensile strength
σm,2It is obtained by measuring dumbbell shape solid propellant sample identical with Flow Behavior of Solid High Energy Propellant column ingredient.
4. Flow Behavior of Solid High Energy Propellant column as described in claim 1 produces gas and generates hole or cracking time prediction technique, special
Sign is that the Flow Behavior of Solid High Energy Propellant column is in temperature T1By time tR,1Weight-loss ratio R afterwardsw,t1With in temperature T2When passing through
Between tR,2Weight-loss ratio R afterwardsw,t2By measuring cubic shaped propellant sample identical with Flow Behavior of Solid High Energy Propellant column ingredient
Thermal weight loss rate obtain.
5. Flow Behavior of Solid High Energy Propellant column as described in claim 3 or 4 produces gas and generates hole or cracking time prediction technique,
It is characterized in that, the size of the dumbbell shape solid propellant sample and/or cubic shaped propellant sample is significantly less than high energy
Solid propellant grain.
6. Flow Behavior of Solid High Energy Propellant column as described in claim 1 produces gas and generates hole or cracking time prediction technique, special
Sign is that the method further includes following steps:
Preparation measures small size solid and pushes away according to the small size solid propellant sample of Flow Behavior of Solid High Energy Propellant column Scaling
Into agent radius of specimen r1, while measuring the radius r of motor grain2,；
Carry out propellant sample high temperature T1With room temperature T2Under thermal weight loss test, record Rw,t,1, Rw,t,2, tR,1, tR,2；
Measure propellant sample high temperature T1With room temperature T2Under tensile strength sigmam,1And σm,2；
Measure small size solid propellant sample high temperature T1Under production gas generate hole or cracking time t1；Then by location parameter
Bring above-mentioned formula 1 into) prediction model, obtain producing gas under the conditions of Flow Behavior of Solid High Energy Propellant column motor grain storage at normal temperature and generate
Hole or cracking time t2。
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