CN104392067B - A kind of computational methods of heat exchanger turbulent buffeting response - Google Patents

A kind of computational methods of heat exchanger turbulent buffeting response Download PDF

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CN104392067B
CN104392067B CN201410758134.XA CN201410758134A CN104392067B CN 104392067 B CN104392067 B CN 104392067B CN 201410758134 A CN201410758134 A CN 201410758134A CN 104392067 B CN104392067 B CN 104392067B
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flow
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CN104392067A (en
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姜乃斌
臧峰刚
张毅雄
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Nuclear Power Institute of China
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Abstract

The invention discloses a kind of computational methods of heat exchanger turbulent buffeting response, methods described includes:Calculated using the flow field of thermal-hydraulic network analysis software heat exchanging device secondary side, obtained the flow field parameter that the secondary side fluid is distributed along heat-transfer pipe;Structural parameters based on the flow field parameter and the heat-transfer pipe, judge whether the flow field parameter belongs to the first preset range and the second preset range;If the flow field parameter belongs to first preset range and second preset range, the reference equivalent power spectral density function of exciting force is calculated using formula (1) formula (6);Random vibration theory is utilized based on density function, it is calculated the root-mean-square value of the vibratory response of turbulent buffeting, Flow vibration evaluation is carried out using the root-mean-square value, the analysis of heat exchanger turbulent buffeting RESPONSE CALCULATION is realized and is input into more reasonable, the more accurate technique effect of analysis result.

Description

A kind of computational methods of heat exchanger turbulent buffeting response
Technical field
The present invention relates to reactor structure mechanics field, more particularly to the calculating side that a kind of heat exchanger turbulent buffeting is responded Method.
Background technology
There is substantial amounts of heat-exchanger rig in nuclear energy, thermoelectricity, petrochemical industry equipment.These heat-exchanger rigs are in the process of running Flow vibration problem annoyings engineering circles always.Up to the present, the Flow vibration mechanism that academia compares approval is that " whirlpool takes off Fall ", " turbulent buffeting ", " fluid-elastic instability ", " acoustic resonance " etc..Wherein, due to the effect of turbulent buffeting be it is long-term and Cannot avoid being responded, it is necessary to calculate turbulent buffeting in the design phase of the heat exchangers such as nuclear boiler, for abrasion and fatigue Analysis, to predict the security of heat exchanger longtime running.
Heat-transfer pipe tube bank turbulent buffeting phenomenon refer to:Heat exchanger shell fluid produces turbulent flow when flowing through tube bank, in turbulent flow The pressure and velocity field of pulsatile change are continuing to supply pipe energy, and pipe energy absorption simultaneously produces vibration.The frequency of turbulent fluctuation Wider range and with very strong randomness, turbulent buffeting RESPONSE CALCULATION needs to use random seismic response analysis method.
When the Flow vibration of heat exchanger is analyzed, because the tube bundle vibration amplitude that turbulent flow causes is little, generally turbulent flow is trembled Shake and be considered as the solid coupled problem of weak current, i.e., determine the power spectral density (PSD) of fluid excitation, then the random vibration for calculating tube bank first Response.Here fluid matasomatism fluid force unrelated with structure motion in structure is referred to as exciting force.The pass of turbulent buffeting analysis Key is the PSD for determining exciting force.If the PSD of exciting force can be obtained, the excitation input of tube bundle vibration analysis has just been obtained Parameter, in conjunction with certain assumed condition, it is possible to according to random vibration theory, is calculated bundle vibration response, so that The abrasion and fatigue damage caused due to turbulent buffeting can further be evaluated.
In single-phase flow, the experimental study of turbulent exciting force is carried out more abundant.By substantial amounts of experiment, can obtain Exciting force in the case of different fluid media (medium)s and tube bank arrangement.These experimental datas are compared by preferable dimensionless method It is right, it is possible to the natural envelope spectrum for obtaining exciting force.Dimensionless method acknowledged at present is to be reduced to swash with dynamic head Shake power, reduce frequency with the ratio of pitch flow velocity and caliber, i.e.,
In formula,It is the equivalent reference PSD of exciting force on unit pipe range, andForDimensionless number.By formula (7) Can be the dimensionless PSD that can conveniently compare by the experimental result conversion of exciting force under a large amount of different flow field conditions, such that it is able to The rational envelope curve for determining exciting force PSD.
For two phase flow, similar research work does not have single-phase flow smooth like that.When void fraction is less than 10%, The random force of two phase flow is similar with single-phase flow, it is possible to use the envelope spectrum of single-phase flow.When void fraction is higher, two-phase mixture Influence start to play a leading role.There are compared with single-phase flow the differences of many essence due to two phase flow, single-phase flow exciting force is returned One change method and PSD envelope spectrums are not particularly suited for two phase flow, under being acted on two phase flow with the PSD envelope spectrums of single-phase flow exciting force Tube bank carries out Calculation of Vibration Response and does not also guard.
In past 30 years, the experimental result largely on two phase flow exciting force is published at crowd, particularly last century After the nineties, this aspect research has substantial amounts of growth.Many researchers propose normalization also for some experimental data Method.Although these researchs have obtained many beneficial conclusions, but still have left many problems and do not solved, such as viscosity, table The influence to exciting force such as face tension force, density ratio and flow pattern.Although above mentioned problem is not solved, in order to solve heat exchanger Designers are badly in need of two phase flow exciting force as the requirement of engineering for calculating input, and what some scholars have studied Tube Sheet of Heat Exchanger two accompanies The method for normalizing of machine exciting force.So far, more comprehensively consider various experimental datas and obtain two phase flow and swash at random Power of shaking PSD envelope spectrums are de Langre&Villard, and they define two-phase on the basis of numerous scholar's experimental datas The dimensionless formula of exciting force is flowed, and gives the envelope spectrum of two phase flow exciting force PSD on this basis.The contracting ratio that they are given Parameter is:
f0=Vp/Dw
(8)
p0lgDw
In formula, VpIt is the pitch flow velocity of two-phase mixture, ρlIt is the density of liquid phase, g is acceleration of gravity, length dimension Dw It is defined as:
D is pipe diameter, αHIt is homogeneous flow void fraction.
De Langre and Villard consider many pressure contractings than parameter, it is found that only the contracting based on gravity is than parameter most For effective.Author points out that contracting represents the influence of dynamic pressure than the gravity in parameter, and between the dynamic pressure result in gas-liquid two-phase The generation of drift velocity.Length dimension is the simplified variant of the vacuole characteristic lengths of introducing such as Taylor.Using the two The two phase flow experimental data of multidigit scholar is shown in figure by the definition contracted than parameter and the equivalent PSD of reference, de Langre etc. simultaneously In 2.Corresponding envelope spectrum is:
The main purpose of de Langre and Villard be in order to solve requirement of engineering, but due to have ignored some influences because Element, it is overly conservative that they provide exciting force PSD envelope spectrums, limits its application in engineering.It is compelled against one's will, is steamed in current engineering The analysis of vapour generator Flow vibration is still main to use the PSD envelope spectrums based on single-phase flow.
In sum, present inventor is during inventive technique scheme in realizing the embodiment of the present application, in discovery State technology and at least there is following technical problem:
In the computational methods of existing heat exchanger turbulent buffeting response, due to the exciting force normalization side based on single-phase flow The PSD envelope spectrums of method are not particularly suited for two phase flow;And only PSD envelope spectrums based on two phase flow are due to have ignored some influences Factor, provides exciting force PSD envelope spectrums overly conservative.So, it is defeated to there is analysis in existing heat exchanger Flow vibration analysis method Enter unreasonable and conservative too high, cause the technical problem that analysis result is inaccurate.
The content of the invention
The invention provides a kind of computational methods of heat exchanger turbulent buffeting response, solve existing heat exchanger stream and cause to shake Dynamic analysis method is unreasonable in the presence of analysis input and conservative is too high, causes the technical problem that analysis result is inaccurate, obtains The PSD envelope spectrums of new two phase flow exciting force, new envelope spectrum is more suitable for the two-phase of tube bank than the envelope spectrum based on single-phase flow Stream turbulent buffeting is calculated, while reducing the too high conservative of existing two phase flow envelope spectrum to a certain extent again, realizes heat exchange The analysis of device turbulent buffeting RESPONSE CALCULATION is input into more reasonable, the more accurate technique effect of analysis result.
In order to solve the above technical problems, the embodiment of the present application provides a kind of calculating side of heat exchanger turbulent buffeting response Method, methods described includes:
Calculated using the flow field of thermal-hydraulic network analysis software heat exchanging device secondary side, obtained the secondary effluent The flow field parameter that body is distributed along heat-transfer pipe;
Structural parameters based on the flow field parameter and the heat-transfer pipe, judge whether the flow field parameter belongs to first pre- If scope and the second preset range;
If the flow field parameter belongs to first preset range and second preset range, using formula (1)-public affairs Formula (6) is calculated the reference equivalent power spectral density function of exciting force
Based on describedUsing random vibration theory, the root-mean-square value of the vibratory response of turbulent buffeting is calculated, Flow vibration evaluation is carried out using the root-mean-square value;
Wherein, the dimensionless for acting on the two phase flow exciting force in tube bank refers to the envelope spectrum of equivalent power spectrum densityI.e. dimensionless is with reference to the upper limit of equivalent power spectrum density:
When 10-3≤fR<When 0.04,
As 0.04≤fRWhen≤1,
Wherein:
Interface flow velocity ViIt is defined as:
ρ in formulalIt is the density of liquid phase, g is acceleration of gravity, and D is pipe diameter, effective diameter of pipe DeIt is defined as De=2 (P- D), P is the centre-to-centre spacing (pitch) for restraining adjacent pipe, and f is the intrinsic frequency of pipe, αHIt is homogeneous flow void fraction, JgAnd JlPoint Apparent velocity that Wei be in Guan Zhen,It is the equivalent reference power spectrum density of exciting force on unit pipe range,For0 it is immeasurable Guiding principle value, DwIt is length dimension, fRBe reduced frequency, i.e. a kind of dimensionless number of f.
Further, first preset range is specially:Homogeneous flow pitch flow velocity is located between 0.2~14m/s, described Second preset range is specially:Homogeneous flow void fraction is located between 10~95%.
Further, the flow field parameter is specifically included:Void fraction, density and flow velocity.
Further, the structural parameters are specially:Each first order mode of the heat-transfer pipe, frequency.
Further, the heat transfer tube configuration parameter can be by the meter that is given in GB151 and TEMA Specifications Calculation method carries out calculating acquisition, or is calculated by commercial finite element software.
One or more technical schemes provided in the embodiment of the present application, at least have the following technical effect that or advantage:
Calculated as a result of the flow field first with thermal-hydraulic network analysis software heat exchanging device secondary side, obtained The flow field parameter that the secondary side fluid is distributed along heat-transfer pipe is obtained, then using theory analysis or finite element method, is obtained The structural parameters of the heat-transfer pipe, are then based on the flow field parameter, judge whether the flow field parameter belongs to the first default model Enclose with second preset range, if then the flow field parameter belong to first preset range and the structural parameters category In the second preset range, then the equivalent PSD of reference of exciting force is calculated using formula (1)-formula (6), obtainedMost Afterwards based on describedUsing random vibration theory, the root-mean-square value of the vibratory response of turbulent buffeting is calculated, using institute Stating root-mean-square value carries out the technological means of Flow vibration assay, that is, obtained the PSD envelope spectrums of new two phase flow exciting force, New envelope spectrum is buffeted than the two-phase flow that the envelope spectrum based on single-phase flow is more suitable for tube bank and calculated, while again to a certain degree On reduce the too high conservative of existing two phase flow envelope spectrum, so, efficiently solve the analysis of existing heat exchanger Flow vibration It is too high to there is the analysis unreasonable and conservative of input in method, causes the technical problem that analysis result is inaccurate, and then realizes and change Hot device turbulent buffeting RESPONSE CALCULATION analysis is input into more reasonable, the more accurate technique effect of analysis result.
Brief description of the drawings
Fig. 1 is the flow chart of Flow vibration analysis method in the embodiment of the present application one;
Fig. 2 is the envelope spectrum of the two phase flow exciting force PSD that de Langre and Villard are given;
Fig. 3 is that the two phase flow exciting force dimensionless that the analysis method in the embodiment of the present application one is proposed refers to equivalent PSD bags Network is composed;
Fig. 4 is the illustraton of model of the steam generator heat-transfer pipe in the embodiment of the present application one;
Fig. 5 is to act on the secondary side fluid transverse velocity of heat-transfer pipe bending section in the embodiment of the present application one;
Fig. 6 is three kinds of vibration displacement Root mean square responses of envelope spectrum calculating dividing on heat-transfer pipe in the embodiment of the present application one Cloth.
Specific embodiment
The invention provides a kind of computational methods of heat exchanger turbulent buffeting response, solve existing heat exchanger stream and cause to shake Dynamic analysis method is unreasonable in the presence of analysis input and conservative is too high, causes the technical problem that analysis result is inaccurate, obtains The PSD envelope spectrums of new two phase flow exciting force, new envelope spectrum is more suitable for the two-phase of tube bank than the envelope spectrum based on single-phase flow Stream turbulent buffeting is calculated, while reducing the too high conservative of existing two phase flow envelope spectrum to a certain extent again, realizes heat exchange The analysis of device turbulent buffeting RESPONSE CALCULATION is input into more reasonable, the more accurate technique effect of analysis result.
Technical scheme during the application is implemented is solution above-mentioned technical problem.General thought is as follows:
Employ and calculated first with the flow field of thermal-hydraulic network analysis software heat exchanging device secondary side, obtain institute The flow field parameter that secondary side fluid is distributed along heat-transfer pipe is stated, then using theory analysis or finite element method, obtains described The structural parameters of heat-transfer pipe, are then based on the flow field parameter, judge the flow field parameter whether belong to the first preset range and In second preset range, if then the flow field parameter belongs to first preset range and the structural parameters belong to Two preset ranges, then be calculated the equivalent PSD of reference of exciting force using formula (1)-formula (6), obtainsLast base In describedUsing random vibration theory, the root-mean-square value of the vibratory response of turbulent buffeting is calculated, using described equal Root value carries out the technological means of Flow vibration assay, that is, obtained the PSD envelope spectrums of new two phase flow exciting force, new Envelope spectrum is buffeted than the two-phase flow that the envelope spectrum based on single-phase flow is more suitable for tube bank and calculated, while drop to a certain extent again The low too high conservative of existing two phase flow envelope spectrum, so, efficiently solve existing heat exchanger Flow vibration analysis method It is unreasonable too high with conservative in the presence of analysis input, cause the technical problem that analysis result is inaccurate, and then realize heat exchanger The analysis of turbulent buffeting RESPONSE CALCULATION is input into more reasonable, the more accurate technique effect of analysis result.
In order to be better understood from above-mentioned technical proposal, below in conjunction with Figure of description and specific embodiment to upper Technical scheme is stated to be described in detail.
Embodiment one:
In embodiment one, there is provided a kind of computational methods of heat exchanger turbulent buffeting response, Fig. 1-Fig. 6, institute are refer to The method of stating includes:
S10, is calculated using the flow field of thermal-hydraulic network analysis software heat exchanging device secondary side, is obtained described secondary The flow field parameter that side liquid is distributed along heat-transfer pipe;
After step slo, the method for the embodiment of the present application just enters step S20, i.e.,:Based on the flow field parameter and institute The structural parameters of heat-transfer pipe are stated, judges whether the flow field parameter belongs to the first preset range and the second preset range;
After step S20, the method for the embodiment of the present application just enters step S30, i.e.,:If the flow field parameter belongs to institute The first preset range and second preset range are stated, is then calculated reference of exciting force etc. using formula (1)-formula (6) Effect power spectral density function
After step S30, the method for the embodiment of the present application just enters step S40, i.e.,:Based on describedUtilize Random vibration theory, is calculated the root-mean-square value of the vibratory response of turbulent buffeting, and carrying out stream cause using the root-mean-square value shakes It is dynamic to evaluate;
Wherein, the dimensionless for acting on the two phase flow exciting force in tube bank refers to the envelope spectrum of equivalent power spectrum densityI.e. dimensionless is with reference to the upper limit of equivalent power spectrum density:
When 10-3≤fR<When 0.04,
As 0.04≤fRWhen≤1,
Wherein:
Interface flow velocity ViIt is defined as:
ρ in formulalIt is the density of liquid phase, g is acceleration of gravity, and D is pipe diameter, effective diameter of pipe DeIt is defined as De=2 (P- D), P is the centre-to-centre spacing (pitch) for restraining adjacent pipe, and f is the intrinsic frequency of pipe, αHIt is homogeneous flow void fraction, JgAnd JlPoint Apparent velocity that Wei be in Guan Zhen,It is the equivalent reference power spectrum density of exciting force on unit pipe range,ForIt is immeasurable Guiding principle value, DwIt is length dimension, fRBe reduced frequency, i.e. a kind of dimensionless number of f.
Wherein, in the embodiment of the present application, first preset range is specially:Homogeneous flow pitch flow velocity be located at 0.2~ Between 14m/s, second preset range is specially:Homogeneous flow void fraction is located between 10~95%.
Wherein, in the embodiment of the present application, the flow field parameter is specifically included:Void fraction, density and flow velocity.
Wherein, in the embodiment of the present application, the structural parameters are specially:Each first order mode of the heat-transfer pipe, frequency.
Wherein, in the embodiment of the present application, the heat transfer tube configuration parameter can be advised by GB151 and TEMA relevant criterions The computational methods be given in model carry out calculating acquisition, or are calculated by commercial finite element software.
Wherein, in actual applications, commercial finite element software includes:ANSYS, ABAQUS etc..
Wherein, in the embodiment of the present application, concrete form of the dimensionless of two phase flow exciting force with reference to equivalent PSD envelope spectrums See formula (1) and formula (2), the wherein flex point of envelope spectrum corresponds to fR=0.04;The coefficient of low-frequency range PSD envelope spectrums is 4, index For -0.7;The coefficient of high band PSD envelope spectrums is 5 × 10-4, index is -3.5.
Illustrate below and the Flow vibration analysis method in the embodiment of the present application is specifically introduced, to steam generator U The PSD response of type heat-transfer pipe is researched and analysed.
The physical dimension of the heat-transfer pipe of table 1
Fig. 4 for steam generator heat-transfer pipe illustraton of model, wherein, Fig. 4 horizontal direction left-half for node with Block plan, is joint constraint condition, the corresponding physical dimension of heat transfer tube model and material in the right half part of the horizontal direction of Fig. 4 Parameter is as shown in table 1- tables 2.Then the two phase flow flow field of heat-transfer pipe present position is entered using thermal-hydraulic network analysis software Row is calculated, and the basic parameter of Flow Field Calculation is shown in Table 3.Calculate the secondary side fluid lateral velocity point of heat-transfer pipe bending section Cloth, as shown in Figure 5.By judging, the data of the steam generator heat-transfer pipe of this example meet envelope spectrum in the embodiment of the present application The scope of application:Homogeneous flow void fraction 10~95%;Homogeneous flow pitch flow velocity (i.e. Vp) 0.2~14m/s.Then formula 1- is utilized Formula 6 is calculated the equivalent PSD of reference of exciting force, obtainsRandom vibration theory is recycled, turbulent flow is calculated and is trembled The root-mean-square value of the vibratory response shaken.Distribution of the vibration displacement Root mean square response that three kinds of envelope spectrums are calculated on heat-transfer pipe is as schemed Shown in 6, the dynamic respond that as can be seen from Figure 6 the Flow vibration analysis method in application the embodiment of the present application is obtained is between base The dynamic respond that the analysis method be given in the dynamic respond of single-phase flow envelope spectrum and using de Langre and Villard is obtained Between, the too high conservative of existing envelope spectrum is reduced, dynamic respond can be further used for the abrasion and analysis of fatigue of heat-transfer pipe.
Technical scheme in above-mentioned the embodiment of the present application, at least has the following technical effect that or advantage:
Calculated as a result of the flow field first with thermal-hydraulic network analysis software heat exchanging device secondary side, obtained The flow field parameter that the secondary side fluid is distributed along heat-transfer pipe is obtained, then using theory analysis or finite element method, is obtained The structural parameters of the heat-transfer pipe, are then based on the flow field parameter, judge whether the flow field parameter belongs to the first default model Enclose with second preset range, if then the flow field parameter belong to first preset range and the structural parameters category In the second preset range, then the equivalent PSD of reference of exciting force is calculated using formula (1)-formula (6), obtainedMost Afterwards based on describedUsing random vibration theory, the root-mean-square value of the vibratory response of turbulent buffeting is calculated, using institute Stating root-mean-square value carries out the technological means of Flow vibration assay, that is, obtained the PSD envelope spectrums of new two phase flow exciting force, New envelope spectrum is buffeted than the two-phase flow that the envelope spectrum based on single-phase flow is more suitable for tube bank and calculated, while again to a certain degree On reduce the too high conservative of existing two phase flow envelope spectrum, so, efficiently solve the analysis of existing heat exchanger Flow vibration It is too high to there is the analysis unreasonable and conservative of input in method, causes the technical problem that analysis result is inaccurate, and then realizes and change Hot device turbulent buffeting RESPONSE CALCULATION analysis is input into more reasonable, the more accurate technique effect of analysis result.
, but those skilled in the art once know basic creation although preferred embodiments of the present invention have been described Property concept, then can make other change and modification to these embodiments.So, appended claims are intended to be construed to include excellent Select embodiment and fall into having altered and changing for the scope of the invention.
Obviously, those skilled in the art can carry out various changes and modification without deviating from essence of the invention to the present invention God and scope.So, if these modifications of the invention and modification belong to the scope of the claims in the present invention and its equivalent technologies Within, then the present invention is also intended to comprising these changes and modification.

Claims (4)

1. the computational methods that a kind of heat exchanger turbulent buffeting is responded, it is characterised in that methods described includes:
Calculated using the flow field of thermal-hydraulic network analysis software heat exchanging device secondary side, obtained the secondary side fluid edge The flow field parameter of heat-transfer pipe distribution;
Structural parameters based on the flow field parameter and the heat-transfer pipe, judge whether the flow field parameter belongs to the first default model Enclose and the second preset range;
If the flow field parameter belongs to first preset range and second preset range, using formula (1)-formula (6) it is calculated the reference equivalent power spectral density function of exciting force
Based on describedUsing random vibration theory, the root-mean-square value of the vibratory response of turbulent buffeting is calculated, utilized The root-mean-square value carries out Flow vibration evaluation;
Wherein, the dimensionless for acting on the two phase flow exciting force in tube bank refers to the envelope spectrum of equivalent power spectrum densityI.e. Dimensionless is with reference to the upper limit of equivalent power spectrum density:
When 10-3≤fR<When 0.04,
As 0.04≤fRWhen≤1,
Wherein:
&lsqb; &Phi; &OverBar; E 0 &rsqb; U = V i ( &rho; l gD w D ) 2 D w &Phi; E 0 ( f ) - - - ( 3 )
f R = fD w V i - - - ( 4 )
D w = 0.1 D 1 - &alpha; H - - - ( 5 )
Interface flow velocity ViIt is defined as:
V i = 0.73 ( J g + J l ) + gD e ( &rho; l - &rho; g ) / &rho; l - - - ( 6 )
ρ in formulalIt is the density of liquid phase, ρgIt is the density of gas phase, g is acceleration of gravity, and D is pipe diameter, effective diameter of pipe DeDefinition It is De=2 (P-D), P are the centre-to-centre spacing for restraining adjacent pipe, i.e. pitch, and f is the intrinsic frequency of pipe, αHIt is homogeneous flow vacuole part Volume, JgAnd JlApparent velocity in respectively Guan Zhen,It is the equivalent reference power spectrum density of exciting force on unit pipe range,ForDimensionless number, DwIt is length dimension, fRBe reduced frequency, i.e. a kind of dimensionless number of f.
2. method according to claim 1, it is characterised in that first preset range is specially:Homogeneous flow pitch stream Speed is located between 0.2~14m/s, and second preset range is specially:Homogeneous flow void fraction is located between 10~95%.
3. method according to claim 1, it is characterised in that the flow field parameter is specifically included:Void fraction, density and Flow velocity.
4. method according to claim 1, it is characterised in that the structural parameters are specially:Each rank of the heat-transfer pipe The vibration shape, frequency.
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CN105160116B (en) * 2015-09-14 2018-04-06 广东西屋康达空调有限公司 The uniform Optimization Design of heat exchanger liquid separation
CN105205258B (en) * 2015-09-22 2018-03-30 中国核动力研究设计院 A kind of analysis method of Exchanger Tubes vortex shedding induced vibration
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