CN115329695B - Rocket engine cooling channel outlet temperature estimation method and device - Google Patents

Rocket engine cooling channel outlet temperature estimation method and device Download PDF

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CN115329695B
CN115329695B CN202211238640.7A CN202211238640A CN115329695B CN 115329695 B CN115329695 B CN 115329695B CN 202211238640 A CN202211238640 A CN 202211238640A CN 115329695 B CN115329695 B CN 115329695B
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韩秋龙
崔朋
刘阳
刘鹰
谭云涛
朱雄峰
雍子豪
李晨阳
王铁兵
谭胜
马欣鑫
王一杉
谷建光
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63921 Troops of PLA
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Abstract

The invention relates to a rocket engine cooling channel outlet temperature estimation method and a rocket engine cooling channel outlet temperature estimation device, and belongs to the technical field of liquid rocket engines. The method utilizes a formula based on the existing working condition parameters
Figure 100004_DEST_PATH_IMAGE002
Estimating the cooling passage outlet temperature under other conditions, wherein,T in in order to cool the temperature at the inlet of the channel,
Figure 100004_DEST_PATH_IMAGE004
for the coolant flow rate in the first operating condition,
Figure 100004_DEST_PATH_IMAGE006
for said first operating condition the combustion chamber propellant flow,p c0 the combustion chamber pressure is said first operating condition,T 0 the outlet temperature of the cooling channel is cooled for the first working condition,
Figure 100004_DEST_PATH_IMAGE008
for the coolant flow rate in the second condition,
Figure 100004_DEST_PATH_IMAGE010
for said second condition the combustion chamber propellant flow rate,p c1 and the pressure of the combustion chamber is the second working condition. The disclosed cooling channel exit temperature estimation model considers conventional tools such as coolant flow, thrust chamber gas flow, combustion chamber pressure, and the likeBesides condition parameters, the change of the geometric configuration of the thrust chamber can be considered, the scheme design of the engine system can be conveniently and rapidly developed, the state parameter distribution of the engine system can be obtained, and further more comprehensive system parameter optimization can be developed beneficially.

Description

Rocket engine cooling passage outlet temperature estimation method and device
Technical Field
The disclosure relates to a temperature estimation method and device, in particular to a rocket engine cooling channel outlet temperature estimation method and device, and belongs to the technical field of liquid rocket engines.
Background
By developing the scheme research of the liquid rocket engine system, the distribution of key node state parameters (including flow, pressure, temperature, power and the like) of the liquid rocket engine along the flow direction can be quickly obtained, on one hand, a student is helped to have popular and obvious deep knowledge on the engine, and on the other hand, the key node state parameters (including room pressure, mixing ratio, coolant flow and the like) are of great significance for optimizing and determining engine core parameters from the system level.
The scheme research of the liquid rocket engine system is developed, and a simple empirical model is generally adopted for quick estimation. For the power of a turbine pump and an electric pump, along-the-way, local pressure loss, flow and the like, mature mathematical estimation models are available. For liquid rocket engines employing regenerative cooling, since the fuel path must flow through the cooling passages, estimation of the cooling passage exit temperature becomes important in order to obtain engine state parameters at key nodes along the flow direction. Particularly for an expansion cycle liquid rocket engine, the temperature of the outlet of the cooling channel determines important state parameters such as power of a turbopump and the like, and directly influences the generation of the state parameters of the whole system scheme.
The current document (comparative study of a liquid oxygen methane expansion cycle variable thrust engine system scheme, proceedings of national defense science and technology university, 2020, 42 (3): 106-15.) provides a model of the change of the outlet temperature of a cooling channel along with working condition parameters under the condition that the geometric configuration of a thrust chamber is not changed, and the problem of estimation of the expansion cycle liquid rocket engine state parameters in the variable thrust process can be solved. According to the literature (scheme research on parallel electric heating cooperative pressure boosting variable thrust rocket engine [ J ]. Manned space, 2020, 26 (6): 702-9), by utilizing the model and the method, the system scheme research on the parallel electric heating cooperative pressure boosting variable thrust rocket engine is developed, but the influence of the change of the geometric configuration (the throat diameter of the thrust chamber, the outlet diameter of a spray pipe, the diameter of a combustion chamber and other straight sections) of the thrust chamber is not considered. Under the condition of the change of the geometric configuration of the thrust chamber, the outlet temperature of the cooling channel needs to be obtained through a complex method process, such as a cooling channel outlet temperature calculation method in the research of the regenerative cooling characteristic of the liquid oxymethane variable thrust rocket engine, or the outlet temperature of the cooling channel under a specific condition needs to be obtained through a simulation technology, and the efficiency of the cooling channel cannot meet the research requirement of a system. How to rapidly obtain the outlet temperature of the cooling channel under the condition of considering the influence of the geometric configuration of the thrust chamber based on working condition parameters (the inlet temperature of the cooling channel, the coolant flow, the propellant flow of the combustion chamber and the pressure of the combustion chamber) becomes a problem which is urgently needed to be solved and restricts the research of a liquid rocket engine system.
Disclosure of Invention
The purpose of the present disclosure is to overcome the drawbacks of the prior art and to solve the problem of fast estimation of the cooling passage exit temperature that can take into account the thrust chamber geometry effects, and to provide a rocket engine cooling passage exit temperature estimation method and apparatus.
The principle of the disclosure is based on a known set of working condition parameters, which can be obtained by the existing method, and the outlet temperature of the cooling channel of other working condition parameters under the same inlet temperature condition of the cooling channel is quickly obtained by a numerical calculation method, so that a rocket engine researcher can conveniently carry out system research.
The purpose of the present disclosure is achieved by the following technical solutions.
In a first aspect, the present disclosure provides a rocket engine cooling passage outlet temperature estimation method, comprising:
calculating a second operating condition cooling channel outlet temperature based on the first operating condition parameter by:
Figure DEST_PATH_IMAGE001
wherein the content of the first and second substances,T in in order to cool the temperature at the entrance of the channel,
Figure DEST_PATH_IMAGE003
based on the coolant flow in the first operating mode>
Figure DEST_PATH_IMAGE005
For said first operating condition the combustion chamber propellant flow,p c0 the combustion chamber pressure is said first operating condition,T 0 cooling a channel outlet temperature for the first operating condition>
Figure DEST_PATH_IMAGE007
Based on the coolant flow in the second operating mode>
Figure DEST_PATH_IMAGE009
For said second condition the combustion chamber propellant flow rate,p c1 combustion chamber pressure is said second operating condition.
In a second aspect, the present disclosure provides a rocket engine cooling passage exit temperature estimation device, a cooling passage exit temperature calculation module that calculates a second operating condition cooling passage exit temperature based on a first operating condition parameter by:
Figure DEST_PATH_IMAGE011
wherein the content of the first and second substances,T in in order to cool the temperature at the inlet of the channel,
Figure DEST_PATH_IMAGE003A
based on the coolant flow in the first operating condition>
Figure DEST_PATH_IMAGE005A
For said first operating condition the combustion chamber propellant flow,p c0 for the first operating condition the combustion chamber pressure,T 0 cooling the channel outlet temperature for the first operating condition->
Figure DEST_PATH_IMAGE007A
Based on the coolant flow in the second operating mode>
Figure DEST_PATH_IMAGE009A
For said second condition the combustion chamber propellant flow rate,p c1 and the pressure of the combustion chamber is the second working condition.
In a third aspect, the present disclosure provides an electronic device comprising:
at least one processor; and the number of the first and second groups,
a memory communicatively coupled to the at least one processor; wherein the memory stores instructions executable by the at least one processor to enable the at least one processor to perform the method of any of the embodiments of the first aspect.
In a fourth aspect, the present disclosure provides a computer-readable storage medium having stored thereon a computer program which, when executed by a processor, causes the processor to perform the method of any of the embodiments of the first aspect.
Advantageous effects
Compared with the prior art, the estimation model for the outlet temperature of the cooling channel is provided, the change of the geometric configuration of the thrust chamber can be considered besides the conventional working condition parameters such as coolant flow, gas flow of the thrust chamber and combustion chamber pressure, the scheme design of the engine system can be conveniently and rapidly developed, the distribution of the engine state parameters is obtained, and further more comprehensive optimization of the system parameters can be beneficially developed.
Drawings
FIG. 1 is a schematic view of a cooling channel;
FIG. 2 is a schematic view of a linearized thrust chamber profile;
FIG. 3 is a schematic diagram of the variation of cooling channel outlet temperature and relative error with chamber pressure calculated using the disclosed method and a prior art method;
fig. 4 is a schematic structural diagram of an electronic device according to an embodiment of the present disclosure.
Detailed Description
The present disclosure will be described in detail below with reference to specific embodiments shown in the drawings. These embodiments are not limited to the disclosure, and structural, methodological, or functional changes made by those of ordinary skill in the art in light of these embodiments are intended to be within the scope of the disclosure.
In the description of the present disclosure, it is to be understood that the terms "center," "longitudinal," "lateral," "upper," "lower," "front," "rear," "left," "right," "vertical," "horizontal," "top," "bottom," "inner," "outer," and the like are used in the orientation or positional relationship indicated in the drawings for convenience in describing the present disclosure and for simplicity in description, and are not intended to indicate or imply that the referenced device or element must have a particular orientation, be constructed in a particular orientation, and be operated in a particular manner, and therefore should not be considered limiting to the disclosure. Furthermore, the terms "first", "second", etc. are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first," "second," etc. may explicitly or implicitly include one or more of that feature. In the description of the present disclosure, "a plurality" means two or more unless otherwise specified.
For the purpose of illustrating the objects, technical solutions and advantages of the embodiments of the present disclosure, the technical solutions in the embodiments of the present disclosure will be clearly and completely described below with reference to the drawings in the embodiments of the present disclosure.
When a researcher is researching a rocket engine system, the system performance of the researcher under different state parameters, such as the outlet temperature of a cooling channel, and the like, is required to be known frequently. Fig. 1 shows a schematic diagram of a cooling channel, and high-temperature and high-pressure fuel gas enters from a fuel gas inlet of a thrust chamber, is expanded to work and then is changed into high-speed, low-temperature and low-pressure fuel gas, and is discharged from a fuel gas outlet of the thrust chamber. The low-temperature coolant flows in from the coolant inlet (the temperature of the coolant inlet is consistent under different working conditions), the high-temperature coolant is changed after the thrust chamber is cooled, and the high-temperature coolant flows out from the coolant outlet (under different working conditions, the geometric configuration of the thrust chamber is different, or the geometric configuration of the same thrust chamber is the same but the pressure of different combustion chambers, and the temperature of the coolant is different when the coolant flows out from the outlet of the cooling channel). For this model, the system researchers need to know the temperature of coolant when flowing out from the export after getting into from the cooling channel entry, through with thrust room heat transfer process after to the thrust room cooling. This temperature determines important state parameters in rocket engine research such as turbopump power. Integrated Modeling and Analysis methods (Integrated Modeling and Analysis for LOX/Methane Expander Cycle Engine, AIAA 2006-4534) and liquid oxygen Methane variable thrust rocket Engine Regenerative Cooling characteristic research (liquid oxygen Methane variable thrust rocket Engine Regenerative Cooling characteristic research [ J ]. Manned space, 2022, 28 (1): 22-9.) are all related researches, but the methods are complicated, require complicated and complicated related system parameter setting, are not high, and cannot meet the system research requirements. The method in the scheme comparison research of the liquid oxygen methane expansion cycle variable thrust engine system can quickly estimate the outlet temperature of the cooling channel, but is only suitable for the situation that the geometric configuration of the thrust chamber is not changed. As shown in fig. 1, in the rocket engine system scheme research, the geometry of the thrust chamber is changed frequently, and the changed coolant outlet temperature is obtained through a complicated process again. Therefore, how to quickly obtain the coolant outlet temperature under the current working condition based on the existing working condition parameters considering the influence of the geometric configuration of the thrust chamber becomes a problem to be solved urgently in the research of rocket engines.
The invention provides a rocket engine cooling channel outlet temperature estimation method, which is based on a first working condition parameter and calculates a second working condition cooling channel outlet temperature according to the following formula:
Figure DEST_PATH_IMAGE011A
wherein the content of the first and second substances,T in in order to cool the temperature at the entrance of the channel,
Figure DEST_PATH_IMAGE003AA
based on the coolant flow in the first operating mode>
Figure DEST_PATH_IMAGE005AA
For said first operating condition the combustion chamber propellant flow,p c0 for the first operating condition the combustion chamber pressure,T 0 cooling the channel outlet temperature for the first operating condition->
Figure DEST_PATH_IMAGE007AA
Based on the coolant flow in the second operating mode>
Figure DEST_PATH_IMAGE009AA
For said second condition the combustion chamber propellant flow rate,p c1 and the pressure of the combustion chamber is the second working condition.
By using the above formula, the outlet temperature of the cooling channel under other working conditions can be quickly obtained based on the parameters under one working condition, and the requirement for obtaining the outlet temperature of the coolant in time under the condition of variable parameters in the research of the rocket engine is met. Also, the above estimation method is applicable to a case where the geometry of the thrust chamber changes.
The above estimation method modeling process is detailed below:
for the cooling channel shown in fig. 1, neglecting wall surface heat conduction, according to the equal side flow of the gas side and the coolant side, it can be obtained:
Figure DEST_PATH_IMAGE013
(1)
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE015
based on the coolant flow>
Figure DEST_PATH_IMAGE017
Is the constant-pressure specific heat capacity of the coolant,h g the convective heat transfer coefficient is measured for the gas,T c is the temperature of the combustion chamber, and,T aw is the temperature of the side wall surface of the fuel gas,Dthe diameter of the combustion chamber is taken as the diameter,Lthe axial length of the combustion chamber is taken as the length,Tit is the temperature that is set for the purpose,yare axis direction coordinates.
Applying the integral median theorem to the left side of the formula (1) willh g The concrete expression (refer to formula 4-11 on page 104 of 'liquid rocket engine modern engineering design') is substituted into the right side of formula (1), and the following can be obtained:
Figure DEST_PATH_IMAGE019
(2)
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE021
is the integrated median value from the coolant side inlet to the outlet, based on the measured value>
Figure DEST_PATH_IMAGE023
Is the gas flow of the thrust chamber>
Figure DEST_PATH_IMAGE025
To cool the channel temperature rise.
According to the literature (Jingpeng, li Qing Lian, chengpo, zhang Beichen, liquid oxygen methane expansion cycle variable thrust engine system scheme contrast research [ J)]The university of defense science and technology, 2020, 42 (3): 106-15.), neglecting the left-side median integral of formula (2)
Figure DEST_PATH_IMAGE021A
Temperature difference between the gas side and the right side>
Figure DEST_PATH_IMAGE027
The following results were obtained:
Figure DEST_PATH_IMAGE029
(3)
wherein the content of the first and second substances,kis a constant.
To further simplify the derivation, it is assumed that the thrust chamber profile varies linearly, as shown in FIG. 2.
The thrust chamber profile expression is then:
Figure DEST_PATH_IMAGE031
(4)
wherein the content of the first and second substances,abcdis a coefficient of diameter of a straight section of the combustion chamberD c Diameter of throatD t Diameter of the nozzle outletD e Length of equal straight sectiony 1 Length of the constrictiony 2 Length of the expanded sectiony 3 And (4) correlating.
Substituting the linear expression into the integral term of the formula (3) can obtain:
Figure DEST_PATH_IMAGE033
(5)/>
assuming a characteristic length of the combustion chamberL c In the general context (references Mazda, lijiawen, tianemai, zhangui. Liquid rocket engine design [ M)]Beijing university of aerospace Press 2011.) is variable, the combustion chamber volumeV c =L c ·A t Variable, can make:
y 1 =(D c /2)·k 1 (6)
that is, the length of the equal straight section of the combustion chamber changes proportionally with the diameter of the combustion chamber. Wherein, the first and the second end of the pipe are connected with each other,A t is the area of the throat part,k 1 is a constant.
(this section demonstrates:
assume another expression for the combustion chamber volume:
Figure DEST_PATH_IMAGE035
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE037
(7)
assumed shrinkage ratio
Figure DEST_PATH_IMAGE039
Is constant and at the same time willy 1 Substituting the expression into the above equation, then:
V c = k 2 ·A t 1.5
thus, whenL c Is changed, thenA t There is a solution. )
A mixture of (6), (7) and
Figure DEST_PATH_IMAGE041
substitution into formula (5) can yield:
Figure DEST_PATH_IMAGE043
(8)
wherein the content of the first and second substances,acare respectively asαβIs a constant.
Ignore
Figure DEST_PATH_IMAGE045
Then equation (8) becomes:
Figure DEST_PATH_IMAGE047
(9)
thus, equation (3) becomes:
Figure DEST_PATH_IMAGE049
(10)
as can be seen from the expression, the cooling channel temperature rise
Figure DEST_PATH_IMAGE051
Along with the throat area of the thrust chamber>
Figure DEST_PATH_IMAGE053
May vary.
The flow formula of the combustion chamber is
Figure DEST_PATH_IMAGE055
(11)
Wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE057
is the specific heat ratioγAs a function of (c).
Neglecting the specific heat ratio of the fuel gas when the mixing ratio is not changedγGas constant ofRTemperature of combustion chamberT c When the formula (11) is substituted into the formula (10),
Figure DEST_PATH_IMAGE059
(12)
wherein the content of the first and second substances,k 2k 3k 4k 5 is a constant.
At given reference condition parameters
Figure DEST_PATH_IMAGE003AAA
、/>
Figure DEST_PATH_IMAGE005AAA
Andp c0 after, the outlet temperature of the cooling channel under the reference working conditionT 0 The expression is as follows,
Figure DEST_PATH_IMAGE061
(13)
a parameter of a certain operating condition
Figure DEST_PATH_IMAGE007AAA
、/>
Figure DEST_PATH_IMAGE009AAA
Andp c1 lower cooling channel exit temperatureT 1 Expression is as>
Figure DEST_PATH_IMAGE063
(14)
Eliminating the constants in equation (14) using equation (13)k 5 Then obtainT 1 Is expressed in the final expression of (a),
Figure DEST_PATH_IMAGE011AA
(15)
wherein the content of the first and second substances,T in to cool the channel inlet temperature (consistent across different operating conditions).
From the above, equation 10 fully considers the influence of the geometry of the thrust chamber on the outlet temperature of the cooling channel, so that finally the estimation of the outlet temperature of the cooling channel in the variable geometry or the constant geometry of the thrust chamber can be obtained based on the reference working condition by equation 15.
Experimental verification
The first verification method comprises the following steps:
1. the idea in the literature (Study on the heat transfer characteristics of regenerative cooling for LOX/LCH4 variable cooling engine [ J ]. Case students in Thermal Engineering, 2021, 28: 1-12. And research on regenerative cooling characteristics of liquid oxygen methane variable thrust rocket engine [ J ]. Manned space, 2022, 28 (1): 22-9.) was used to calculate a coolant flow of 2.02kg/s, a combustion chamber propellant flow of 8.48kg/s, and a cooling channel outlet temperature of 291K under a chamber pressure of 4.5MPa, as a first condition parameter.
2. The working conditions in the following table were calculated using the calculation formula of the method of the present disclosure, and the calculation results of the outlet temperature of the cooling channel and the error are shown in fig. 3. It can be seen that there is some error between the calculation results using the method of the present invention and the calculation results of the literature methods (Study on the heat transfer characteristics of regenerative cooling for LOX/LCH4 variable cooling rock engine [ J ]. Case students in Thermal Engineering, 2021, 28: 1-12. And liquid oxygen methane thrust rocket engine regenerative cooling characteristics Study [ J ]. Manned space, 2022, 28 (1): 22-9.), and the maximum error is substantially less than 10%. Considering that the method and the experimental result in the literature have certain errors, and the literature (research on liquid nitrogen flowing and heat exchange characteristics in microchannels, 2007, shanghai university of transportation, doctor's academic thesis, page 66) indicates that the error of the calculation result obtained by the theoretical convective heat exchange coefficient correlation formula adopted by the simulation is reasonable within 30%, so that the method disclosed by the invention is reliable.
TABLE 1 different working Condition parameters
Serial number Coolant flow/(kg/s) Propellant flow/(kg/s) Room pressure/MPa
1. 1.62 6.78 3.6
2. 1.21 5.09 2.7
3. 1.01 4.24 2.25
4. 1.35 5.67 3
5. 1.08 4.54 2.4
6. 0.94 3.95 2.1
7. 0.67 2.81 1.5
8. 0.54 2.27 1.2
And a second verification method:
1. review of literature: an Integrated Modeling and Analysis method (Integrated Modeling and Analysis for a LOX/Methane Expander Cycle Engine, AIAA 2006-4534) of a liquid oxygen Methane expansion Cycle Engine determines a coolant inlet temperature of 116.7K, a coolant flow of 6.865kg/s, a combustion chamber propellant flow of 30.917kg/s, a combustion chamber pressure of 5.861MPa and a Cooling channel outlet temperature of 526.2K.
2. The calculation formula of the method disclosed by the invention is utilized to calculate the coolant flow rate to be 6.057kg/s, the propellant flow rate to be 27.28kg/s and the outlet temperature of the cooling channel under the working condition of 5.171MPa of the combustion chamber to be 536.6K, the literature query result is 543.9K, and the error is 1.34%, so that the method disclosed by the invention is effective.
The present disclosure also provides a rocket engine cooling passage outlet temperature estimation device, including a cooling passage outlet temperature calculation module that calculates a second operating condition cooling passage outlet temperature based on a first operating condition parameter by:
wherein the content of the first and second substances,T in in order to cool the temperature at the inlet of the channel,
Figure DEST_PATH_IMAGE003AAAA
based on the coolant flow in the first operating mode>
Figure DEST_PATH_IMAGE005AAAA
For said first operating condition the combustion chamber propellant flow,p c0 for the first operating condition the combustion chamber pressure,T 0 cooling the channel outlet temperature for the first operating condition->
Figure DEST_PATH_IMAGE007AAAA
Based on the coolant flow in the second operating mode>
Figure DEST_PATH_IMAGE009AAAA
For said second condition the combustion chamber propellant flow rate,p c1 and the pressure of the combustion chamber is the second working condition.
Alternatively to this, the first and second parts may,T 0 based on
Figure DEST_PATH_IMAGE003_5A
、/>
Figure DEST_PATH_IMAGE005_5A
p c0 The method is obtained by a cooling channel outlet temperature calculation method in the research of the regenerative cooling characteristic of the liquid oxygen methane variable thrust rocket engine.
Optionally, the first operating condition parameter is obtained by consulting integrated modeling and analysis method data of the liquid oxymethane expansion cycle engine.
For the apparatus embodiment, since it is substantially similar to the method embodiment, the description is relatively simple, and reference may be made to the partial description of the method embodiment for relevant points.
Fig. 4 is a schematic structural diagram of an electronic device according to an embodiment of the present disclosure, where the electronic device may execute the processing flow provided by the foregoing method embodiment, and as shown in fig. 4, the electronic device 110 includes: memory 111, processor 112, computer programs, and communications interface 113; wherein the computer program is stored in the memory 111 and is configured to be executed by the processor 112 for performing the method as described above.
In addition, the embodiment of the present disclosure also provides a computer readable storage medium, on which a computer program is stored, the computer program being executed by a processor to implement the method of the above embodiment. Those of ordinary skill in the art will understand that: all or a portion of the steps of implementing the above-described method embodiments may be performed by hardware associated with program instructions. The foregoing program may be stored in a computer-readable storage medium. When executed, the program performs steps comprising the method embodiments described above; and the aforementioned storage medium includes: various media that can store program codes, such as ROM, RAM, magnetic or optical disks.
Specific examples are given in this specification for the purpose of illustrating the disclosure and implementations. The details introduced in the examples are not intended to limit the scope of the claims but rather to aid in understanding the present disclosure. Those skilled in the art will understand that: although the description is given in terms of embodiments, not every embodiment includes only a single embodiment, and such description is for clarity only, and those skilled in the art will recognize that the embodiments described herein may be combined as a whole to form other embodiments as would be understood by those skilled in the art. And that various modifications, changes, or alterations to the steps of the preferred embodiments are possible without departing from the spirit and scope of this disclosure and the appended claims. Therefore, the disclosure should not be limited to the disclosure of the preferred embodiments and drawings.

Claims (8)

1. A rocket engine cooling passage outlet temperature estimation method is characterized by comprising the following steps: calculating a second operating condition cooling passageway exit temperature based on the first operating condition parameter by:
Figure DEST_PATH_IMAGE002
wherein the content of the first and second substances,T in in order to cool the temperature at the inlet of the channel,
Figure DEST_PATH_IMAGE004
for the coolant flow in the first condition,
Figure DEST_PATH_IMAGE006
for the first operating condition the combustion chamber propellant flow,p c0 for the first operating condition the combustion chamber pressure,T 0 the channel exit temperature is cooled for the first operating condition,
Figure DEST_PATH_IMAGE008
for the coolant flow rate in the second condition,
Figure DEST_PATH_IMAGE010
for the second operating mode the flow of propellant in the combustion chamber,p c1 the pressure of the combustion chamber is the second working condition;
the modeling process of the above formula is:
neglecting wall heat conduction, according to the equal side heat flow of gas and coolant, can obtain:
Figure DEST_PATH_IMAGE012
(1)
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE014
as the flow rate of the coolant, it is,
Figure DEST_PATH_IMAGE016
is the constant-pressure specific heat capacity of the coolant,h g the convective heat transfer coefficient is measured for the gas,T c is the temperature of the combustion chamber, and,T aw is the temperature of the side wall surface of the fuel gas,Dthe diameter of the combustion chamber is taken as the diameter,Lis burnedThe axial length of the burning chamber is long,Tis the temperature of the liquid to be treated,yis an axis direction coordinate;
applying the integral median theorem to the left side of the formula (1) willh g The specific expression is substituted into the right side of the formula (1), and the following can be obtained:
Figure DEST_PATH_IMAGE018
(2)
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE020
is the integrated median value of the coolant side inlet to outlet,
Figure DEST_PATH_IMAGE022
is the flow rate of the gas in the thrust chamber,
Figure DEST_PATH_IMAGE024
raising the temperature of the cooling channel;
neglecting the left-hand median integral of equation (2)
Figure DEST_PATH_IMAGE020A
Temperature difference of right gas side
Figure DEST_PATH_IMAGE026
The following results were obtained:
Figure DEST_PATH_IMAGE028
(3)
wherein the content of the first and second substances,kis a constant;
if the thrust chamber profile changes linearly, the thrust chamber profile expression is:
Figure DEST_PATH_IMAGE030
(4)
wherein the content of the first and second substances,abcdis a coefficient of diameter of a straight section equal to that of the combustion chamberD c Diameter of throatD t Diameter of the nozzle outletD e Length of equal straight sectiony 1 Length of the constriction sectiony 2 Length of the expanded sectiony 3 Correlation;
substituting the profile expression into the integral term of formula (3) to obtain:
Figure DEST_PATH_IMAGE032
(5)
setting characteristic length of combustion chamberL c Variable in the general range, the combustion chamber volumeV c =L c ·A t Variable, can make:
y 1 =(D c /2)·k 1 (6)
that is, the length of the equal straight section of the combustion chamber changes with the diameter of the combustion chamber in equal proportion; wherein the content of the first and second substances,A t is the area of the throat part,k 1 is a constant;
a general formula (6),
Figure DEST_PATH_IMAGE034
And
Figure DEST_PATH_IMAGE036
substitution into formula (5) can give:
Figure DEST_PATH_IMAGE038
(8)
neglect of
Figure DEST_PATH_IMAGE040
Then equation (8) becomes:
Figure DEST_PATH_IMAGE042
(9)
thus, equation (3) becomes:
Figure DEST_PATH_IMAGE044
(10)
as can be seen from the expression, the cooling channel temperature rise
Figure DEST_PATH_IMAGE024A
Throat area of thrust chamberA t Is changed;
the flow formula of the combustion chamber is
Figure DEST_PATH_IMAGE046
(11)
Wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE048
is the specific heat ratioγA function of (a);
neglecting the specific heat ratio of the fuel gas when the mixing ratio is not changedγGas constant ofRTemperature of combustion chamberT c When the formula (11) is substituted into the formula (10),
Figure DEST_PATH_IMAGE050
(12)
wherein the content of the first and second substances,k 2k 3k 4k 5 is a constant;
at a given first operating condition parameter
Figure DEST_PATH_IMAGE004A
Figure DEST_PATH_IMAGE006A
Andp c0 then, the outlet temperature of the cooling passage under the first working conditionT 0 The expression is as follows,
Figure DEST_PATH_IMAGE052
(13)
second operating condition parameter
Figure DEST_PATH_IMAGE008A
Figure DEST_PATH_IMAGE010A
Andp c1 lower cooling channel exit temperatureT 1 The expression is as follows,
Figure DEST_PATH_IMAGE054
(14)
eliminating the constants in equation (14) using equation (13)k 5 Then obtainT 1 Is expressed in the final expression of (a),
Figure DEST_PATH_IMAGE002A
(15)
wherein the content of the first and second substances,T in to cool the channel inlet temperature, it is consistent under different conditions.
2. A rocket engine cooling passage exit temperature estimation method as recited in claim 1, wherein:T 0 based on
Figure DEST_PATH_IMAGE004AA
Figure DEST_PATH_IMAGE006AA
p c0 Passing liquidAnd the calculation method of the outlet temperature of the cooling channel in the research of the regenerative cooling characteristic of the oxymethane variable thrust rocket engine is obtained.
3. A rocket engine cooling passage exit temperature estimation method as recited in claim 1, wherein: the first operating condition parameter is obtained by consulting data of an integrated modeling and analysis method of the liquid oxygen methane expansion cycle engine.
4. A rocket engine cooling passage outlet temperature estimation device, characterized by: a cooling passage outlet temperature calculation module is included that calculates a second operating condition cooling passage outlet temperature based on the first operating condition parameter by:
Figure DEST_PATH_IMAGE002AA
wherein the content of the first and second substances,T in in order to cool the temperature at the inlet of the channel,
Figure DEST_PATH_IMAGE004AAA
for the coolant flow in the first condition,
Figure DEST_PATH_IMAGE006AAA
for the first operating condition the combustion chamber propellant flow,p c0 for the first operating condition the combustion chamber pressure,T 0 the channel exit temperature is cooled for the first operating condition,
Figure DEST_PATH_IMAGE008AA
for the coolant flow rate in the second condition,
Figure DEST_PATH_IMAGE010AA
for the second operating mode the flow of propellant in the combustion chamber,p c1 the pressure of the combustion chamber is in a second working condition;
the modeling process of the above formula is:
neglecting wall heat conduction, according to the equal side heat flow of gas and coolant, can obtain:
Figure DEST_PATH_IMAGE012A
(1)
wherein, the first and the second end of the pipe are connected with each other,
Figure DEST_PATH_IMAGE014A
as the flow rate of the coolant, it is,
Figure DEST_PATH_IMAGE016A
is the constant-pressure specific heat capacity of the coolant,h g the convective heat transfer coefficient is measured for the gas,T c is the temperature of the combustion chamber, and,T aw is the temperature of the side wall surface of the fuel gas,Dthe diameter of the combustion chamber is taken as the diameter,Lthe axial length of the combustion chamber is,Tit is the temperature that is set for the purpose,yis an axis direction coordinate;
applying integral median theorem to the left side of equation (1) willh g The specific expression is substituted into the right side of the formula (1), and the following can be obtained:
Figure DEST_PATH_IMAGE018A
(2)
wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE020AA
is the integrated median value of the coolant side inlet to outlet,
Figure DEST_PATH_IMAGE022A
is the flow rate of the gas in the thrust chamber,
Figure DEST_PATH_IMAGE024AA
raising the temperature of the cooling channel;
neglecting the left-hand median integral of equation (2)
Figure DEST_PATH_IMAGE020AAA
Right side, right sideGas side temperature difference
Figure DEST_PATH_IMAGE026A
The following results were obtained:
Figure DEST_PATH_IMAGE028A
(3)
wherein the content of the first and second substances,kis a constant;
if the thrust chamber profile changes linearly, the thrust chamber profile expression is:
Figure DEST_PATH_IMAGE030A
(4)
wherein, the first and the second end of the pipe are connected with each other,abcdis a coefficient of diameter of a straight section of the combustion chamberD c Diameter of throatD t Diameter of the nozzle outletD e Length of equal straight sectiony 1 Length of the constrictiony 2 Length of the expanded sectiony 3 Correlation;
substituting the linear expression into the integral term of the formula (3) can obtain:
Figure DEST_PATH_IMAGE032A
(5)
setting characteristic length of combustion chamberL c Variable in the general range, the combustion chamber volumeV c =L c ·A t Variable, can make:
y 1 =(D c /2)·k 1 (6)
that is, the length of the equal straight section of the combustion chamber changes with the diameter of the combustion chamber in equal proportion; wherein the content of the first and second substances,A t is the area of the throat part,k 1 is a constant;
general formula (II)(6)、
Figure DEST_PATH_IMAGE034A
And
Figure DEST_PATH_IMAGE036A
substitution into formula (5) can yield:
Figure DEST_PATH_IMAGE038A
(8)
neglect of
Figure DEST_PATH_IMAGE040A
Then equation (8) becomes:
Figure DEST_PATH_IMAGE042A
(9)
thus, equation (3) becomes:
Figure DEST_PATH_IMAGE044A
(10)
as can be seen from the expression, the cooling channel temperature rise
Figure DEST_PATH_IMAGE024AAA
Throat area of thrust chamberA t Is changed;
the flow formula of the combustion chamber is
Figure DEST_PATH_IMAGE046A
(11)
Wherein the content of the first and second substances,
Figure DEST_PATH_IMAGE048A
is the specific heat ratioγA function of (a);
neglecting the specific heat ratio of the fuel gas when the mixing ratio is not changedγGas constant ofRTemperature of combustion chamberT c When the formula (11) is substituted into the formula (10),
Figure DEST_PATH_IMAGE050A
(12)
wherein the content of the first and second substances,k 2k 3k 4k 5 is a constant;
at a given first operating condition parameter
Figure DEST_PATH_IMAGE004AAAA
Figure DEST_PATH_IMAGE006AAAA
Andp c0 then, the outlet temperature of the cooling passage under the first working conditionT 0 The expression is as follows,
Figure DEST_PATH_IMAGE052A
(13)
second operating condition parameter
Figure DEST_PATH_IMAGE008AAA
Figure DEST_PATH_IMAGE010AAA
Andp c1 lower cooling channel exit temperatureT 1 The expression is as follows,
Figure DEST_PATH_IMAGE054A
(14)
eliminating the constants in equation (14) using equation (13)k 5 Then obtainT 1 Is expressed in the final expression of (a),
Figure DEST_PATH_IMAGE002AAA
(15)
wherein the content of the first and second substances,T in to cool the channel inlet temperature, it is consistent under different conditions.
5. A rocket engine cooling passage outlet temperature estimating device according to claim 4, wherein:T 0 based on the
Figure DEST_PATH_IMAGE004_5A
Figure DEST_PATH_IMAGE006_5A
p c0 The method is obtained by a cooling channel outlet temperature calculation method in the research of the regenerative cooling characteristic of the liquid oxygen methane variable thrust rocket engine.
6. The rocket engine cooling passage outlet temperature estimation device of claim 4, wherein: the first operating condition parameter is obtained by consulting data of an integrated modeling and analysis method of the liquid oxygen methane expansion cycle engine.
7. An electronic device, characterized in that the electronic device comprises:
at least one processor; and the number of the first and second groups,
a memory communicatively coupled to the at least one processor; wherein the memory stores instructions executable by the at least one processor to enable the at least one processor to perform the method of any one of claims 1-3.
8. A computer-readable storage medium, on which a computer program is stored, which program, when being executed by a processor, causes the processor to carry out the method of any one of claims 1-3.
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