CN103971010A - Method for judging thermal stratification phenomenon of lead and bismuth fluid - Google Patents

Method for judging thermal stratification phenomenon of lead and bismuth fluid Download PDF

Info

Publication number
CN103971010A
CN103971010A CN201410211548.0A CN201410211548A CN103971010A CN 103971010 A CN103971010 A CN 103971010A CN 201410211548 A CN201410211548 A CN 201410211548A CN 103971010 A CN103971010 A CN 103971010A
Authority
CN
China
Prior art keywords
fluid
formula
unit
plumbous bismuth
density
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201410211548.0A
Other languages
Chinese (zh)
Inventor
周涛
李云博
霍启军
宋明强
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
North China Electric Power University
Original Assignee
North China Electric Power University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by North China Electric Power University filed Critical North China Electric Power University
Priority to CN201410211548.0A priority Critical patent/CN103971010A/en
Publication of CN103971010A publication Critical patent/CN103971010A/en
Pending legal-status Critical Current

Links

Landscapes

  • Investigating Or Analyzing Materials Using Thermal Means (AREA)

Abstract

The invention discloses a method for judging the thermal stratification phenomenon of lead and bismuth fluid. The method includes the steps that firstly, a temperature measuring element is installed in a lead and bismuth pipeline, the temperature of the cold side fluid and the temperature of the hot side fluid are measured respectively through the temperature measuring element, and the temperature T1 of the cold side fluid and the temperature T2 of the cold side fluid are obtained respectively; secondly, a formula, T1 and T2 are fitted according to the density of the lead and bismuth fluid, and the density rho 1 and the density rho 2 of the lead and bismuth fluid under the temperature T1 and the temperature T2 are obtained; thirdly, fitting is conducted on an existing buoyancy formula, an inertia force formula and a cubic expansion coefficient formula, and a non-dimensional criterion numeral formula is obtained; fourthly, rho 1 and rho 2 are substituted into the non-dimensional criterion numeral formula, and a non-dimensional criterion numeral is calculated; fifthly, when the non-dimensional criterion numeral is smaller than 1, the thermal stratification phenomenon of the lead and bismuth fluid does not exist, when the non-dimensional criterion numeral is equal to 1, the thermal stratification phenomenon of the lead and bismuth fluid begins to happen, when the non-dimensional criterion numeral is larger than 1, the thermal stratification phenomenon of the lead and bismuth fluid exists, and as the non-dimensional criterion numeral increases, the thermal stratification phenomenon becomes more stable.

Description

A kind of method of judging plumbous bismuth fluid generation thermal stratification
Technical field
The invention belongs to nuclear safety and thermal-hydraulic and calculate field, be specifically related to plumbous bismuth fluid thermal lamination algorithm.
Background technology
The sub-critical reactor (ADS) of Accelerator driven is one of the most promising separation-transmuting technology, desirable long-lived radioactivity waste incinerator.The fusing point of lead bismuth alloy (LBE) is low, boiling point is high, has good neutronics performance, heat transfer property, contacts vigorous reaction etc. does not occur with water, has become in current ADS design the spallation target preferred material of cooling medium of holding concurrently.ADS is mainly made up of high current proton precessional magnetometer, external source Neutron generator, subcritical reactor and electric power output system.Design and the experimental study of plumbous bismuth experimental loop, lead bismuth alloy physicochemical property and hot-working hydraulic characteristic research, significant to ensureing the safe operation of whole ADS system.
But the difference of the fluid density that plumbous bismuth loop causes due to the difference of temperature on gravity direction causes cold fluid in below, hot fluid is called thermal stratification in the phenomenon of top.Thermal stratification is the main cause that causes heat fatigue, and plumbous bismuth thermal stratification produces material impact to ADS system thermal-hydraulic, follows the research and development of advanced heap of the 4th generation, and thermally stratified layer Study on Problems should be subject to enough attention.Localized heat stress produces cyclical variation meeting and causes heat fatigue damage etc. will have a strong impact on reactor safety.In nuclear energy field, open heap and shutdown at every turn, the heat fatigue phenomenon of equipment pipe all can directly have influence on the security of reactor.T.muramatsu points out, after fast reactor shutdown, in upper chamber, can produce thermal stratification, and reactor vessel and easy internals are caused to huge thermal stress.In order to prevent this phenomenon, countries in the world nuclear power station has all been taked corresponding measure, as the Japanese upper limit that has specified thermal stress according to " electric enterprise method ".The research of the thermal stratification thermally stratified layer to plumbous bismuth and heat fatigue phenomenon is both at home and abroad still in the starting stage, but the thermal stratification of water has been had to more research, wherein in the majority with Japan, France, the U.S. abroad.In Japan, the example that four respectful orders difficult to understand occur according to nuclear power station, when reason to temperature variation and fault occur, the state of equipment and the feature of example are adjusted, and have been divided into 7 kinds of forms and have answered one by one, and wherein form 1,3,4,5 is all thermal stratification.Form 1 is the inflow of main pipeline to branch pipe(tube), and the hot fluid of main pipeline can produce certain penetration to the cold water in arm, and at bottom generation thermal stratification.Form 3 is that high-temperature water mixes with water at low temperature, can produce a layer segregation phenomenon.The sealing infiltration of form 4 valves causes the infiltration of fluid, causes thermal stratification.When form 5 exists temperature difference valve to reveal for isolation, the leakage of valve seat causes thermal stratification; The expert of Japan PNC has also developed a kind of program AQUA, simulates and assess thermal stratification and the impact on structure.In France, French H.ohshima is by 4 kinds of problems of temperature fluctuation phenomenon collective analysis in metal fast breeder reactor: thermally stratified layer, heat fatigue, the rocking of the coupling of reactor core-cavity and free surface; Nubuo.nakamori has built test-bed, and the thermal stratification of the safety injection system straight tube to nuclear power plant is studied.American D.tenchine is studied the heat fatigue at some position of sodium-cooled fast reactor.At home, Chen Licheng, Lu Donghua has done flow field simulation to the thermally stratified layer of water, has improved traditional modeling method.But also there is following problem for the judgement of thermal stratification:
The first, at present the research of the thermal stratification to plumbous bismuth fluid is still in the junior stage both at home and abroad, for example: P.agostini etc. test the plumbous bismuth Natural Circulation of one dimension.Sehgal etc. have carried out the thermal-hydraulic experiment of plumbous bismuth for TALL experimental loop.W.Ambrosini etc. have carried out the experiment that argon gas injects the plumbous bismuth flow of impact in PIZZA loop.The Natural Circulation stable state of the counterweight metallic(return) circuits such as Weimin Ma is studied.The domestic KYLIN-I of utilization such as Wu Yican has carried out in loop " the corrosion military service performance that Accelerator Driven Subcritical heap (ADS) structured material (316L, TP91, CLAM steel etc.) flows in plumbous bismuth in liquid state " experimental study first, for ADS material military service performance study provides reliable experimental data.G.Coccoluto etc. to NAICE loop adopt experimental study injection argon gas strengthen plumbous bismuth natural circulation flow.A.V.Besnosov etc. have carried out experimental study in velocity field and the temperature field to the lead under high temperature and plumbous bismuth fluid, and experimental section is annular and circular;
The second, in prior art, the judgement of thermal stratification is only relied on and utilizes the empirical value of the cubic expansion coefficient to judge, but traditional determination methods need to be measured the volume of plumbous bismuth fluid, the volume of the plumbous bismuth fluid in circulation is to be difficult for measuring, and has increased the difficulty of measuring;
Due to the existence of the problems referred to above, the inventor studies and improves prior art, to can work out quick, efficient, convenient and not rely on a kind of method of judging plumbous bismuth fluid generation thermal stratification that the empirical value of traditional cubic expansion coefficient calculates.
Summary of the invention
In order to address the above problem, the inventor has carried out research with keen determination, found that: the plumbous bismuth fluid density to the matching of Chinese scholars institute has been carried out matching again, has reduced the error of plumbous bismuth fluid in a certain temperature lower density.By looking into the mode of figure, obtain the density of plumbous bismuth fluid at this temperature, recycling calculation procedure directly judges whether plumbous bismuth fluid thermal stratification occurs, simplify calculating, also can not utilize the empirical value of the cubic expansion coefficient, obtain the exact value of the cubic expansion coefficient, increase the precision of whole calculating.Thereby complete the present invention.
The object of the present invention is to provide following aspect:
First aspect, a kind of method of judging plumbous bismuth fluid generation thermal stratification, is characterized in that: the method comprises the following steps:
(1) in plumbous bismuth pipeline, temperature element is installed, by temperature element, the temperature of cold-side fluid and hot side liquid is measured respectively, obtain respectively the temperature T of cold-side fluid 1temperature T with hot side liquid 2,
(2) according to plumbous bismuth fluid density fitting formula and T 1and T 2, draw respectively at T 1and T 2the corresponding cold-side fluid density p of plumbous bismuth fluid at temperature 1with hot side liquid density p 2; Wherein, described plumbous bismuth fluid density fitting formula is as follows:
ρ LBE=11113.6-1.34·T
Wherein, T is temperature, and its unit is K, ρ lBEfor plumbous bismuth fluid density, its unit is kg/m 3;
(3) buoyancy lift formula, inertial force formula and cubic expansion coefficient formula are carried out to matching, obtain dimensionless criterion numeral formula, described dimensionless criterion numeral formula is
Wherein, R ifor dimensionless criterion numeral, g is acceleration of gravity, the m/s of unit 2; L is internal diameter of the pipeline, the m of unit; ρ 1for cold-side fluid density, ρ 2for hot side liquid density, unit is kg/m 3; U is fluid velocity, the m/s of unit;
(4) by above-mentioned ρ 1, ρ 2bring dimensionless criterion numeral formula into, calculate dimensionless criterion numeral;
(5) according to dimensionless criterion numeral, the thermal stratification of plumbous bismuth fluid is judged, as dimensionless criterion numeral < 1, plumbous bismuth fluid thermal lamination does not exist, in the time of dimensionless criterion numeral=1, plumbous bismuth fluid starts to occur thermal stratification, and in the time of dimensionless criterion numeral > 1, plumbous bismuth fluid has thermal stratification, along with the increase of dimensionless criterion numeral, it is more obvious that thermal stratification becomes.
Second aspect, a kind of method of judging plumbous bismuth fluid generation thermal stratification as described in above-mentioned first aspect, is characterized in that:
In step (2), draw the density map that obtains plumbous bismuth fluid according to plumbous bismuth fluid density fitting formula, and according to this figure and T 1and T 2, draw respectively T 1and T 2the density p of plumbous bismuth fluid at temperature 1and ρ 2.
The third aspect, a kind of method of judging plumbous bismuth fluid generation thermal stratification as described in above-mentioned first aspect, is characterized in that: the temperature element in step (1) is thermopair.
Fourth aspect, a kind of method of judging plumbous bismuth fluid generation thermal stratification as described in above-mentioned first aspect, is characterized in that: in step (3), carry out matching obtain R by buoyancy lift formula and inertial force formula icomposite formula, R icomposite formula carries out matching with cubic expansion coefficient formula again, obtains above-mentioned dimensionless criterion numeral formula.
The 5th aspect, a kind of method of judging plumbous bismuth fluid generation thermal stratification as described in above-mentioned fourth aspect, is characterized in that: described buoyancy lift formula is
Gr = g&alpha; V &Delta; tl 3 &nu; 2
Wherein, Gr is buoyancy lift, and g is acceleration of gravity, the m/s of unit 2, α vthat volume is the cubic expansion coefficient of the plumbous bismuth fluid of V, the 1/K of unit, Δ t is the temperature difference of cold fluid and hot fluid, unit K, Δ t=t 2-t 1; L is internal diameter of the pipeline, the m of unit, and ν refers to density viscosity, is defined as η represents fluid viscosity, and unit is pa.s, and ρ represents fluid density, and unit is kgm 3.
The 6th aspect, a kind of method of judging plumbous bismuth fluid generation thermal stratification as described in above-mentioned fourth aspect, is characterized in that: described inertial force formula is
Re = ul &nu;
Wherein, Re is fluid inertia force, and l is internal diameter of the pipeline, the m of unit, and u is fluid velocity, the m/s of unit, ν refers to density viscosity, is defined as η represents fluid viscosity, and unit is pa.s, and ρ represents fluid density, and unit is kgm 3.
The 7th aspect, a kind of method of judging plumbous bismuth fluid generation thermal stratification as described in above-mentioned fourth aspect, is characterized in that: described cubic expansion coefficient formula is
&PartialD; = V t 2 - V t 1 V t 1 ( t 2 - t 1 )
Wherein, volume expansivity, that unit fluid is at t 1dEG C time volume, that unit fluid is at t 2dEG C time volume, wherein with unit be m 3, t 1and t 2unit be DEG C.
According to a kind of method of judging plumbous bismuth fluid generation thermal stratification provided by the invention, it has following beneficial effect:
The first, in the case of the empirical value that is unfavorable for the cubic expansion coefficient, the thermal stratification of plumbous bismuth fluid is judged, make this deterministic process easy, quick, and then improved whole work efficiency;
The second, the method is carried out matching to research formula both domestic and external, and the judgement precision of plumbous bismuth fluid generation thermal stratification is improved.
Brief description of the drawings
Fig. 1 illustrates a kind of according to the preferred embodiment of the present invention density map of plumbous bismuth fluid of the method for judging plumbous bismuth fluid generation thermal stratification;
Fig. 2 illustrates a kind of according to the preferred embodiment of the present invention plumbous bismuth fluid density fitting formula and deterministic process figure of the method for judging plumbous bismuth fluid generation thermal stratification.
Embodiment
Below by the present invention is described in detail, the features and advantages of the invention will become more clear, clear and definite along with these explanations.
Here special word " exemplary " means " as example, embodiment or illustrative ".Here needn't be interpreted as being better than or being better than other embodiment as " exemplary " illustrated any embodiment.Although the various aspects of embodiment shown in the drawings, unless otherwise indicated, needn't draw accompanying drawing in proportion.
According in a preferred embodiment of the present invention, as shown in Fig. 1-2, provide a kind of method of judging plumbous bismuth fluid generation thermal stratification, it is characterized in that: the method comprises the following steps:
(1) in plumbous bismuth pipeline, temperature element is installed, by temperature element, the temperature respectively of cold-side fluid and hot side liquid is measured, and measurement thermal signal is converted into electric signal, obtain respectively the temperature T of cold-side fluid 1temperature T with hot side liquid 2;
(2) be the density map that plumbous bismuth fluid density fitting formula is drawn plumbous bismuth fluid according to LEB density fitting formula, i.e. Fig. 1, and according to this figure and T 1and T 2, obtain respectively T 1and T 2the corresponding cold-side fluid density p of plumbous bismuth fluid at temperature 1with hot side liquid density p 2, described plumbous bismuth fluid density fitting formula is as follows:
ρ LBE=11113.6-1.34·T
Wherein, T is the time, and its unit is K, ρ lBEfor plumbous bismuth fluid density, its unit is kg/m 3;
(3) existing buoyancy lift formula, inertial force formula and cubic expansion coefficient formula are carried out to matching, obtain dimensionless criterion numeral formula, be specially the fitting formula of Richardson number; The fitting formula of described dimensionless criterion numeral formula or Richardson number is
R i = gl ( &rho; 1 &rho; 2 - 1 ) u 2 ;
Wherein, R ifor dimensionless criterion numeral, g is acceleration of gravity, the m/s of unit 2; L is internal diameter of the pipeline, the m of unit; ρ 1for cold-side fluid density, ρ 2for hot side liquid density, unit is kg/m 3; U is fluid velocity, the m/s of unit;
(4) by above-mentioned ρ 1, ρ 2being brought into dimensionless criterion numeral formula is in the fitting formula of Richardson number, calculates dimensionless criterion numeral R iconcrete numerical value.
(5) according to R inumerical value the thermal stratification of plumbous bismuth fluid is judged, as dimensionless criterion numeral < 1, plumbous bismuth fluid thermal lamination does not exist, in the time of dimensionless criterion numeral=1, plumbous bismuth fluid starts to occur thermal stratification, and in the time of dimensionless criterion numeral > 1, plumbous bismuth fluid has thermal stratification, along with the increase of dimensionless criterion numeral, it is more obvious that thermal stratification becomes.The method does not need to calculate the empirical value of the cubic expansion coefficient, makes the judgement of the thermal stratification to plumbous bismuth fluid more convenient, has improved the efficiency of measuring, and is conveniently generalized to other liquid.
One preferred embodiment in, plumbous bismuth pipeline described in step (1) can be conventional Natural Circulation pipeline, described temperature element is thermopair.
One preferred embodiment in, described in step (2), LEB refers to plumbous bismuth fluid, LEB density is plumbous bismuth fluid density, LBE density fitting formula obtains by matching, concrete fit procedure comprises:
The temperature variant computing formula of LBE density is:
ρ LBE=11096-1.3236·T
The scholars' such as employing Lyon, Kutateladze, Kirillov experimental data, utilizes the principle of least square to carry out matching, obtains LBE density fitting formula and is:
ρ LBE=11113.6-1.34·T
The drawing process of concrete matching and Fig. 1 can list of references: perillaseed prestige, liquid lead bismuth alloy study on thermal property, nuclear technology, 2013,9:36 (9).
Draw the density map of plumbous bismuth fluid according to LBE density fitting formula, can draw this figure by conventional drawing practice, the density map difference of different liquids, needs to draw according to corresponding density fitting formula.
One preferred embodiment in, in step (2), pass through temperature T 1and T 2obtain respectively T 1and T 2the density p of plumbous bismuth fluid at temperature 1and ρ 2, i.e. plumbous bismuth fluid T 1density p at temperature 1with plumbous bismuth fluid T 2density p at temperature 2, and then make the method in the case of not by measuring the thermal stratification that also can judge plumbous bismuth fluid the volume of plumbous bismuth fluid, make deterministic process succinct.
One preferred embodiment in, the fitting formula of Richardson number is to carry out matching by existing buoyancy lift formula, inertial force formula and cubic expansion coefficient formula to form in step (3),
Wherein, no matter material is the variation of which kind of (solid, liquid or gas) form, is all referred to as measure expansion or volumetric expansion.In the time that object temperature changes 1 degree Celsius, the ratio of the variation of its volume and its volume in the time of 0 DEG C, is called " volume expansivity " or " coefficient of volumetric expansion ", passes through symbol represent.While being located at 0 DEG C, the volume of material is V 0, the volume in the time of t DEG C is V t, the definition of the cubic expansion coefficient is:
&PartialD; = V t - V 0 V 0 t
Because the expansion coefficient of solid or liquid is very little, be convenience of calculation, for temperature from t 1become t 2fluid, the volume V when asking again 0 DEG C 0, directly replace V with the volume under lower temperature 0volume calculates, can directly calculate with following formula,
&PartialD; = V t 2 - V t 1 V t 1 ( t 2 - t 1 )
In formula that unit fluid is at t 1dEG C time volume, that unit fluid is at t 2dEG C time volume, wherein with unit be m 3, t 1and t 2unit be DEG C that this formula is only applicable to solid or liquid, because the expansion coefficient value of gaseous matter is larger, can not use this formula.
For plumbous bismuth fluid thermal lamination, buoyancy lift and inertial force are of paramount importance influence factors.Buoyancy lift is larger or inertial force is less, and thermal stratification just more easily occurs.The Richardson number that the present invention proposes is the dimensionless criterion numeral of buoyancy lift and inertial force ratio, is an important motivity index that judges thermally stratified layer, and wherein, buoyancy lift formula is as follows:
Gr = g&alpha; V &Delta; tl 3 &nu; 2
Inertial force formula is as follows:
Re = ul &nu;
Wherein, Gr is buoyancy lift; Re is fluid inertia force; G is acceleration of gravity, the m/s of unit 2; α vthat volume is the cubic expansion coefficient of plumbous bismuth fluid of V and above-mentioned the implication of representative is identical, the 1/K of unit; Δ t is the temperature difference of cold fluid and hot fluid, unit K, Δ t=t 2-t 1; L is internal diameter of the pipeline, the m of unit; U is fluid velocity, the m/s of unit, and ν refers to density viscosity, is defined as η represents fluid viscosity, and unit is pa.s, and ρ represents fluid density, and unit is kgm 3.In the present invention, by buoyancy lift formula and inertial force formula, obtain R icomposite formula, this process is as follows:
Ri = Gr Re 2 = g&alpha; v &Delta;tl u 2
R icomposite formula carries out matching with cubic expansion coefficient formula again, and its fit procedure is: will be brought into R iin composite formula, can obtain the final expression formula of Richardson number (Ri), i.e. dimensionless criterion numeral formula, this process is as follows:
R i = gl ( V t 2 - V t 1 V t 1 ) u 2 = gl ( &rho; 1 &rho; 2 - 1 ) u 2
Wherein g is acceleration of gravity, the m/s of unit 2; L is internal diameter of the pipeline, the m of unit; ρ 1for cold-side fluid density, ρ 2for hot side liquid density, unit is kg/m 3; U is fluid velocity, the m/s of unit;
By ρ 1and ρ 2be brought in above-mentioned formula, try to achieve dimensionless criterion numeral, the judgement of recycling dimensionless criterion numeral has or not lamination.
According to a kind of method of judging plumbous bismuth fluid generation thermal stratification provided by the invention, it has following beneficial effect:
The first, obtain in situation the thermal stratification of plumbous bismuth fluid is judged at the empirical value that is unfavorable for the cubic expansion coefficient, this deterministic process that is is easy, quick, and then has improved whole work efficiency;
The second, the method is carried out matching to research formula both domestic and external, and the judgement precision of plumbous bismuth fluid generation thermal stratification is improved.
Describe the present invention in conjunction with specific embodiments above.But, these embodiments are only illustrative, and it is to protection scope of the present invention and do not constitute any limitation.It will be appreciated by those skilled in the art that, in the situation that not exceeding or departing from protection domain of the present invention, technical solutions and their implementation methods of the present invention have multiple modification, improvement or equivalent, these all should fall within the scope of protection of the present invention.

Claims (7)

1. a method of judging plumbous bismuth fluid generation thermal stratification, is characterized in that: the method comprises the following steps:
(1) in plumbous bismuth pipeline, temperature element is installed, by temperature element, the temperature of cold-side fluid and hot side liquid is measured respectively, obtain respectively the temperature T of cold-side fluid 1temperature T with hot side liquid 2,
(2) according to plumbous bismuth fluid density fitting formula and T 1and T 2, draw respectively at T 1and T 2the corresponding cold-side fluid density p of plumbous bismuth fluid at temperature 1with hot side liquid density p 2, wherein said plumbous bismuth fluid density fitting formula is as follows:
ρ LBE=11113.6-1.34·T
Wherein, T is temperature, and its unit is K, ρ lBEfor plumbous bismuth fluid density, its unit is kg/m 3;
(3) buoyancy lift formula, inertial force formula and cubic expansion coefficient formula are carried out to matching, obtain dimensionless criterion numeral formula, described dimensionless criterion numeral formula is
Wherein, R ifor dimensionless criterion numeral, g is acceleration of gravity, the m/s of unit 2; L is internal diameter of the pipeline, the m of unit; ρ 1for cold-side fluid density, ρ 2for hot side liquid density, unit is kg/m 3; U is fluid velocity, the m/s of unit;
(4) by above-mentioned ρ 1, ρ 2bring dimensionless criterion numeral formula into, calculate dimensionless criterion numeral;
(5) according to dimensionless criterion numeral, the thermal stratification of plumbous bismuth fluid is judged, as dimensionless criterion numeral < 1, plumbous bismuth fluid thermal lamination does not exist, in the time of dimensionless criterion numeral=1, plumbous bismuth fluid starts to occur thermal stratification, and in the time of dimensionless criterion numeral > 1, plumbous bismuth fluid has thermal stratification, along with the increase of dimensionless criterion numeral, it is more obvious that thermal stratification becomes.
2. a kind of method of judging plumbous bismuth fluid generation thermal stratification as claimed in claim 1, is characterized in that:
In step (2), draw the density map that obtains plumbous bismuth fluid according to plumbous bismuth fluid density fitting formula, and according to this figure and T 1and T 2, draw respectively at T 1and T 2the density p of plumbous bismuth fluid at temperature 1and ρ 2.
3. a kind of method of judging plumbous bismuth fluid generation thermal stratification as claimed in claim 1, is characterized in that: the temperature element in step (1) is thermopair.
4. a kind of method of judging plumbous bismuth fluid generation thermal stratification as claimed in claim 1, is characterized in that: in step (3), carry out matching obtain R by buoyancy lift formula and inertial force formula icomposite formula, R icomposite formula carries out matching with cubic expansion coefficient formula again, obtains above-mentioned dimensionless criterion numeral formula.
5. a kind of method of judging plumbous bismuth fluid generation thermal stratification as claimed in claim 4, is characterized in that: described buoyancy lift formula is
Gr = g&alpha; V &Delta; tl 3 &nu; 2
Wherein, Gr is buoyancy lift, and g is acceleration of gravity, the m/s of unit 2, α vthat volume is the cubic expansion coefficient of the plumbous bismuth fluid of V, the 1/K of unit, Δ t is the temperature difference of cold fluid and hot fluid, unit K, Δ t=t 2-t 1; L is internal diameter of the pipeline, the m of unit; ν refers to density viscosity, and it is defined as wherein η represents fluid viscosity, and unit is pa.s, and ρ represents fluid density, and unit is kgm 3.
6. a kind of method of judging plumbous bismuth fluid generation thermal stratification as claimed in claim 4, is characterized in that: described inertial force formula is
Re = ul &nu;
Wherein, Re is fluid inertia force, and l is internal diameter of the pipeline, the m of unit, and u is fluid velocity, the m/s of unit, ν refers to density viscosity, is defined as η represents fluid viscosity, and unit is pa.s, and ρ represents fluid density, and unit is kgm 3.
7. a kind of method of judging plumbous bismuth fluid generation thermal stratification as claimed in claim 4, is characterized in that: described cubic expansion coefficient formula is
&PartialD; = V t 2 - V t 1 V t 1 ( t 2 - t 1 )
Wherein, volume expansivity, that unit fluid is at t 1dEG C time volume, that unit fluid is at t 2dEG C time volume, wherein with unit be m 3, t 1and t 2unit be DEG C.
CN201410211548.0A 2014-05-19 2014-05-19 Method for judging thermal stratification phenomenon of lead and bismuth fluid Pending CN103971010A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201410211548.0A CN103971010A (en) 2014-05-19 2014-05-19 Method for judging thermal stratification phenomenon of lead and bismuth fluid

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201410211548.0A CN103971010A (en) 2014-05-19 2014-05-19 Method for judging thermal stratification phenomenon of lead and bismuth fluid

Publications (1)

Publication Number Publication Date
CN103971010A true CN103971010A (en) 2014-08-06

Family

ID=51240498

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201410211548.0A Pending CN103971010A (en) 2014-05-19 2014-05-19 Method for judging thermal stratification phenomenon of lead and bismuth fluid

Country Status (1)

Country Link
CN (1) CN103971010A (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111706951A (en) * 2020-07-03 2020-09-25 湖南大学 Thermal comfort ventilation and pollutant control method for air stability of limited space

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20130051508A1 (en) * 2010-08-31 2013-02-28 Texas A&M University System Accelerator driven sub-critical core
CN102996908A (en) * 2012-11-12 2013-03-27 华北电力大学 Pipeline capable of reducing influence of thermal stratification

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20130051508A1 (en) * 2010-08-31 2013-02-28 Texas A&M University System Accelerator driven sub-critical core
CN102996908A (en) * 2012-11-12 2013-03-27 华北电力大学 Pipeline capable of reducing influence of thermal stratification

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
张毅雄 等: "稳压管波动管热分层分析", 《核动力工程》 *
苏子威 等: "液态铅铋合金热物性研究", 《核技术》 *

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111706951A (en) * 2020-07-03 2020-09-25 湖南大学 Thermal comfort ventilation and pollutant control method for air stability of limited space

Similar Documents

Publication Publication Date Title
Chung et al. Development and assessment of system analysis code, TASS/SMR for integral reactor, SMART
CN103902784A (en) Safety analysis calculating device for transient nuclear heat coupling of supercritical water reactor
Kim et al. Thermal-hydraulic analysis of SMART steam generator tube rupture using TASS/SMR-S code
CN107451398A (en) PWR nuclear power plant major accident analysis method
Richard et al. Implementation of liquid salt working fluids into TRACE
CN103971010A (en) Method for judging thermal stratification phenomenon of lead and bismuth fluid
Huang et al. Development of the analysis tool for the water cooling type passive residual heat removal system of Chinese pressurized reactor
Bang et al. Improvements of condensation heat transfer models in MARS code for laminar flow in presence of non-condensable gas
Men et al. Calculation method of passive residual heat removal heat exchanger and numerical simulation
Cao Di Wang
Gupta Developing 1-D heat transfer correlations for supercritical water and carbon dioxide in vertical tubes
Li et al. Simulations for cooling effect of PCCS in hot leg SB-LOCA of 1000 MW PWR
Inaba et al. Analytical study on fire and explosion accidents assumed in HTGR hydrogen production system
Jiang et al. Extension, Verification and Validation of molten salt in contact with non-condensable gas problem on RELAP/SCDAPSIM/MOD4. 0 code
Wang et al. Experimental Investigation on Natural Circulation Characteristics of Core Make-Up Tank Under Rolling Conditions
Kuzina et al. Thermohydraulic studies of alkali liquid metal coolants for justification of nuclear power facilities
Sorokin et al. Thermohydraulics of alkaline liquid-metal coolant: a retrospective-perspective look
Gouat Dimensioning the EVITA semi-open loop at BR2 for qualification of full size JHR fuel elements
Krepper et al. Numerical simulation of the emergency condenser of the SWR-1000
Ishida et al. Development of Inherently Safe Technologies for Large Scale BWRs:(2) Passive Water-Cooling System
Zhang et al. Experimental investigation on the interaction characteristics of lead‑bismuth liquid metal and water
Abubakar Helium-Air mixing in simulated reactor cavities of Very High Temperature Reactors
Ma et al. THE NUMERICAL SIMULATION OF DEAD LEG PHENOMENA IN RESIDUAL HEATREMOVAL SYSTEM
Um et al. Experimental and computational study of the core inlet temperature pattern under asymmetric loop conditions
Li et al. Numerical simulation of the long-term radiolytic gas accumulation in diversified measurement pipeline for BWR using GASFLOW-MPI

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
RJ01 Rejection of invention patent application after publication
RJ01 Rejection of invention patent application after publication

Application publication date: 20140806