CN107760830A - A kind of control method of big substance, big cross section super-thick steel plate roll-type quenching process - Google Patents
A kind of control method of big substance, big cross section super-thick steel plate roll-type quenching process Download PDFInfo
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- C21D1/62—Quenching devices
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Abstract
A kind of control method of big substance, big cross section super-thick steel plate roll-type quenching process, including than thermal model, coefficient of heat conduction model, models for temperature field and correction model.Its implementation process is to input steel plate parameter, including thickness, length, phosphorus content first；Technological procedure, including roller table speed, acceleration etc.；Temperature after actual measurement parameter, including tapping temperature, air cooling, return it is red after temperature etc..Calculated cooling down air cooling section, water cooling section, returning red section than thermal model, coefficient of heat conduction model using models for temperature field and calling, and temperature field is modified by correction model successively respectively.Analog result is to obtain cooling curve and cooling rate curve at one group of different-thickness.The advantages of control method, is to combine produce reality situation, obtains meeting actual temperature drop, cooling rate curve, is calculated by model and substitutes the actual debugging process in part, available for the adjustment for instructing technological procedure, saves production cost, and can obtain the good product of plate shape.
Description
Technical field
The invention belongs to metallurgical technology field, is related to steel plate roll-type quenching process control method.
Background technology
Thermo parameters method after super-thick steel plate quenching, it can largely influence the physical property and machining property of steel plate
Energy.Traditional immersion quenching, steel plate is immersed in quenching bath or quenching tank, and receptor volumetric constraint, cooling velocity is slower, and
Skewness.Roll-type quenches, and steel plate enters quenching press by the roller-way of rotation, and high-pressure jet is ejected into surface of steel plate, compared to
Traditional quenching mode, cooling velocity increase considerably, and steel plate can be cooled to room temperature in a short time.But due to steel plate thickness compared with
Greatly, conduct heat slower, cause center portion to differ larger with surface temperature, performance profile is uneven after quenching.Quenching process calculates, can be compared with
Good this problem of improvement.By setting different parameters, temperature curve, the cooling rate curve of steel plate is calculated, intuitively sees
Observe the profiling temperatures that go out of cooling light plate diverse location and cooling rate situation of change, result of calculation can be very good to serve
Production, reduce production cost.
Patent CN105445319A discloses a kind of method and device for determining the surface of steel plate water cooling coefficient of heat transfer, by infrared
Thermal imaging system gathers the non-aqueous huyashi-chuuka (cold chinese-style noodles) image information of steel plate, obtains the actual cooling curve of non-aqueous huyashi-chuuka (cold chinese-style noodles), finite element modelling water cooling face is arrived
The overall process of non-aqueous huyashi-chuuka (cold chinese-style noodles), by constantly adjusting the water cooling coefficient of heat transfer, obtain the simulation cooling curve of non-aqueous huyashi-chuuka (cold chinese-style noodles).Patent is
CN102507636A discloses a kind of method for the interfacial heat transfer coefficient of rapid cooling process for determining steel, by by thermocouple spot welding
Temperature collect module is connected to, obtains surface temperature delta data, is changed using being heat-treated software and obtaining the interface in cooling procedure
Hot coefficient, then the temperature change with this simulation workpiece cooling procedure, and contrasted with measured result, until variation tendency is coincide
Well；The control method relevant with big substance, big cross section super-thick steel plate roll-type quenching process is not directed in the prior art, more not
Refer to the coefficient of heat transfer in big substance, big cross section super-thick steel plate roll-type quenching process is modified using correction model it is specific
Method.
The content of the invention
, should it is an object of the invention to provide the control method of a kind of big substance, big cross section super-thick steel plate roll-type quenching process
Model cootrol of the method suitable for super-thick steel plate quenching process, based on mathematical modeling, with reference to produce reality situation, with
The formal intuition of curve show steel plate head, afterbody at surface of steel plate, a quarter thickness and center portion temperature become
Change and cooling rate changes, available for the adjustment for instructing technological procedure, save production cost, and the good product of plate shape can be obtained.
The concrete technical scheme of the present invention is a kind of big substance, the controlling party of big cross section super-thick steel plate roll-type quenching process
Method, it is characterised in that comprise the following steps：
Step 1, Steel Plate Information and technological parameter, including the thickness of steel plate, length, phosphorus content, roller speed, acceleration are read；
Step 2, the initial coefficient of heat transfer is set, using warm extrusion die model, and called than thermal model, coefficient of heat conduction mould
Type, the air cooling section coefficient of heat transfer is modified using the correction model of the coefficient of heat transfer according to actual measurement air cooling section temperature drop, and then obtained
Air cooling section temperature field；
Step 3, the water cooling section coefficient of heat transfer, including the determination of the high pressure section water cooling coefficient of heat transfer and the heat exchange of low pressure stage water cooling are determined
The determination of coefficient；The determination of the high pressure section water cooling coefficient of heat transfer, the effect of quenching press high pressure section is mainly by the surface temperature of steel plate
A relatively low temperature is cooled fast to, because the action time of high pressure section can not be direct far below in low pressure stage and actual production
Obtain, therefore use experiment gained empirical data；
The determination of the low pressure stage water cooling coefficient of heat transfer, can only directly obtain surface temperature when going out quenching press due to steel plate, and
Only when quenching beginning, temperature change is violent on quenching process light plate surface, and hereafter, to quenching press is gone out, its temperature tends to be steady
It is fixed, close to convective media temperature, therefore cannot be directly used to calculate convection transfer rate.And the temperature inside steel plate can not be obtained directly
, therefore calculating can not be directly modified to the water cooling coefficient of heat transfer by water cooling section.Steel plate is when leaving quenching press, due to inside
Temperature remain above surface temperature, by conduction of heat, the temperature of inside can be delivered to the surface of steel plate, therefore, can be adopted
The coefficient of heat transfer of low pressure stage water cooling section is entered using the correction model of the coefficient of heat transfer with the surface red temperature after quenching during air cooling
Row amendment；Specific method is the initial temperature field using the temperature field after air cooling of coming out of the stove as water cooling section, and given low pressure stage initially exchanges heat
Coefficient, Temperature calculating is carried out, and red rear surface node is returned in temperature field as red section of initial temperature field computation is returned using after water cooling
Temperature value, compared with measured value, the correction model of the coefficient of heat transfer is called to be modified the water cooling coefficient of heat transfer, air cooling heat exchange
Coefficient is constant；And re-use warm extrusion die model, and call than thermal model, coefficient of heat conduction model carry out water cooling section, return it is red
Section Temperature calculating, to difference in the range of allowable error；
Step 4, the temperature drop curve of diverse location, cooling rate curve during the steel plate quenching to be tallied with the actual situation.
Due to can not directly measure the convection transfer rate in quenching process, it is therefore desirable to calculate temperature and reality by comparing
Testing temperature, it is modified using correction model heat exchanging coefficient, and then temperature field is modified.In above-mentioned steps 2, step 3
The correction model of the coefficient of heat transfer is：
Initial coefficient of heat transfer interval range [0, A] is given, capping value A carries out temperature field meter as the initial coefficient of heat transfer
Calculate, if calculated value is higher than desired value, it is [A, 1.5A] to take hot coefficient range；The upper limit in more than change section one section every time
Value is as the lower limit between new district, and 1.5 times of the lower limit using between new district take as the higher limit between new district to the coefficient of heat transfer
It is worth the upper limit for the section, untill calculated value is less than desired value；Show that now actual convection transfer rate is in the section,
Fibonacci method is used in the section, section where constantly reducing, to measured value and desired value difference in the range of allowable error,
Now coefficient of heat transfer value is actual value.
Further, in above-mentioned steps 2,3：
1) than the calculating of thermal model；Specific heat coefficient is mainly relevant with the phosphorus content and temperature of steel plate；Phosphorus content is to set
Definite value, when phosphorus content is not above-mentioned value, first determines the left and right dividing value corresponding to it, by way of interpolation as confining spectrum
The weight of phosphorus content is determined, then than section where constant temperature degree, so that it is determined that the specific heat of combustion of steel plate；
2) calculating of coefficient of heat conduction model；Experiment draws the specific heat of combustion of different phosphorus content steel plates at different temperatures first
And coefficient of heat conduction value, other phosphorus content are then determined by way of interpolation, specific heat and heat transfer system corresponding to other temperature
Numerical value；
3) warm extrusion die model is：
The one-dimensional unsteady heat conduction differential equation established in cartesian coordinate system：
Wherein：
X is division unit lattice length；D is steel plate thickness；T is the time；T is temperature；A is temperature diffusivity,For endogenous pyrogen；
λ is the Quenching Sheet coefficient of heat conduction；ρ is quenched nickelclad density；C is Quenching Sheet specific heat；
The latent heat of phase change in Cooling Process for Steel Plate Based is included in avergae specific heat during calculating, therefore endogenous pyrogen can be ignored；
Primary condition is：
T (x, 0)=T0 (0 ＜ x ＜ d, t ＞ 0)
Boundary condition is：
In order to improve the convergence of Fourier number and stability and model is had more smaller error, using Crank-
Nicolson difference methods；
T is the time；I is node, 0≤i≤I；It is as follows to establish temperature field:
Internal node：
Boundary node：
Wherein
hxFor convection transfer rate；TfFor water temperature；Temperature value when for the time being t corresponding to i-th of node of steel plate；Fox
For Fourier number；BixTo finish wet number；
Stability condition is:
Under conditions of known initial temperature field and the coefficient of heat transfer, any instant any node after being gone out by Difference Calculation
Profiling temperatures.
Further, in above-mentioned warm extrusion die model cool time control：The model of steel plate is calculated according to where steel plate
Roller-way position be divided into three parts, respectively into the air cooling section before quenching press, pass through quenching press when quenching section and by quenching
Lighter it is later return the red stage；
The time of air cooling section determines；Because steel plate has certain length, diverse location enter required for quenching press when
Between it is different, therefore to being respectively calculated end to end, steel plate head enter quenching press before be uniform motion, pass through head to quenching press
Distance and initial velocity calculated；Roller-way starts to apply certain acceleration after steel plate head enters quenching press, so
The afterbody of steel plate air cooling section i.e. proceed by acceleration, be now and apart from the position of quenching press steel plate length, by initial velocity,
Distance and acceleration calculate afterbody air cooling time；
Quench the determination of section time；The quenching section time is divided into the time by high pressure section and the time by low pressure stage first
High pressure segment length is determined, according to the initial velocity and acceleration for setting roller-way, directly calculates the cool time of steel plate head；By
Steel plate is accelerated in when steel plate head enters quenching press, it is true by the time of air cooling accelerating part and acceleration before
Determine speed when afterbody enters quenching press, determine that it passes through required for high pressure section further according to speed now and acceleration calculation
Time, steel plate are determined by the low pressure stage time according to duration of oscillation；
Return the determination of red time；Its specific method is when steel plate goes out quenching press, and timing, pin are proceeded by by stopwatch
To the same position of steel plate, it is measured in red temperature at different moments, stops timing after returning red end, takes red temperature maximum
The target temperature being worth in being calculated as simulation, its corresponding time is as the time for returning the red stage.
Further, in above-mentioned steps 2,3 each section of initial temperature field model foundation：Temperature is made when going out heating furnace with steel plate
For the initial temperature field of air cooling section, temperature field and temperature measuring point before quenching press are simulated after the air cooling being calculated using models for temperature field
The temperature measured is compared amendment, finally gives and meets temperature field after actual air cooling, and in this, as the initial of water cooling section
Temperature field, water cooling section need not be modified calculating, are directly delivered to the model calculation and return the red stage, as returning the red stage
Initial temperature field.
Further, the output result of above-mentioned steps 4 include air cooling section, water cooling high-low pressure section coefficient of heat transfer value, steel plate head,
Surface, a quarter, the temperature variation curve of central part and the cooling rate change curve of afterbody.
The present invention has advantages below：
1) initial parameter meets actual production code, it is contemplated that scene production conditions, required measurement data in production may be used
To directly obtain；
2) each stage result of calculation is modified according to measured value respectively, and result of calculation is more pasted with the actual cooling curve of steel plate
Closely；
3) output result is cooling curve, cooling rate curve at different-thickness, more intuitively shows the heart, the table temperature difference, the heart, table
Cooling rate is poor, and head and tail temperature difference, cooling rate is poor end to end, and production technology is adjusted available for guidance；
4) replace part field to debug by calculating, reduce energy resource consumption, reduce production cost.
Brief description of the drawings
Fig. 1：Calculating process flow chart.
Fig. 2：Calculate gained temperature variation curve.
Fig. 3：Calculate gained cooling velocity change curve.
Fig. 4：Cooling velocity change curve after filtration high pressure section.
Embodiment
1) input of parameter.Including steel plate parameter：Thickness, length, phosphorus content；Technological procedure：Roller table speed, acceleration,
Quenching press high pressure segment length, tapping temperature, coefficient of heat transfer initial value；Survey parameter：Tapping temperature, into temperature before quenching press, return
The red time, return red rear temperature；
2) air cooling section, the determination for quenching section, returning red time.Because steel plate has certain length, diverse location enters
Time required for quenching press is different, therefore to being respectively calculated end to end, steel plate head enter quenching press before be uniform motion,
To accelerate after into quenching press high pressure section, hereafter swung in low pressure stage.The motion mode of steel plate tail is to enter to quench
Air cooling section is uniform motion first before lighter, and to accelerate after steel plate head enters quenching press, high pressure section is accelerated motion,
Hereafter swung in low pressure stage.Air cooling section and high pressure section time are calculated by distance, initial velocity, acceleration, low pressure stage
Time is determined by the duration of oscillation of setting, is returned red section and is determined by timing；
3) calculating in air cooling section temperature field, initial temperature field is established with tapping temperature, each time step is respectively to different sections
Specific heat, the coefficient of heat conduction of point are calculated, and then call models for temperature field to calculate air cooling temperature field, by result of calculation
Compared with measured value, correction model is called, the air cooling coefficient of heat transfer is modified, obtains temperature field after air cooling.
4) determination of water cooling section time.Calculating steel plate head, middle part, afterbody pass through needed for quenching press high pressure section respectively
The time wanted, determine that steel plate passes through the low pressure stage time according to duration of oscillation；
5) calculating in water cooling temperature field.Using temperature field after the air cooling of calculating as initial temperature field, call than thermal model, heat conduction
Modulus Model, models for temperature field, calculate temperature field after acquisition water cooling；
6) calculating in red rear temperature field is returned.Using after water cooling temperature field as initial temperature field, coefficient of heat transfer value using amendment
Air cooling coefficient of heat transfer value afterwards, calls and red temperature field is calculated than thermal model, thermal conductivity factor model, models for temperature field,
By result of calculation compared with measured value, not in the range of allowable error, correction model is called to carry out the water cooling coefficient of heat transfer
Amendment, recalculates step 5,6；
7) output of result of calculation.Draw steel plate head tail surface, at a quarter thickness, center portion is in air cooling section and quenching
Temperature drop curve, the cooling rate curve of section.
Embodiment：
Steel plate thickness 132mm, length 7250mm, phosphorus content 0.15%, roller table speed 0.2m/s, acceleration 0.00015m/
s2, quenching press high pressure segment length 3.2m, coefficient of heat transfer initial value：Air cooling section 100W/ (m2K), high pressure section 20000W/ (m2K), low pressure
Section 8000W/ (m2K), 22.1 DEG C of water temperature, 910 DEG C of tapping temperature, into 830 DEG C of temperature before quenching press, air cooling time 45s, low pressure
Duration of oscillation 1560s, red time 142s is returned, return red rear 28 DEG C of temperature.Cell length 1mm, time step 0.5s are taken, calculates stream
Journey is as shown in Figure 1.
Result of calculation：Air cooling section coefficient of heat transfer value 124.64W/ (m2K), low pressure stage water cooling coefficient of heat transfer 2250W/ (m2K)。
As shown in Figure 2, as seen from the figure, steel plate enters the high pressure section of water cooling via air cooling section to temperature drop curve, and surface temperature reduces rapidly,
Because the temperature of inside is outwards transmitted after into low pressure stage, temperature has fraction of rise, compared to surface, at a quarter thickness
And the cooling of center portion temperature is slower.Cooling rate curve is as shown in Figure 3, corresponding with temperature drop curve it can be found that in high pressure section, table
Face cooling rate raises rapidly, and into after low pressure stage, cooling rate curve represents temperature for negative value and risen, due to cold in the short time of surface
Speed is far above other moment, is not easy to observe other moment cooling rates, therefore cooling rate as shown in Figure 4, can be with after filtering out part
It was found that a quarter and the center portion cooling rate when the heart table temperature difference is larger gradually increase, hereafter as the reduction of temperature, cooling rate gradually drop
It is low.
Claims (6)
1. the control method of a kind of big substance, big cross section super-thick steel plate roll-type quenching process, it is characterised in that including following step
Suddenly：
Step 1, Steel Plate Information and technological parameter, including the thickness of steel plate, length, phosphorus content, roller speed, acceleration are read；
Step 2, the initial coefficient of heat transfer is set, using warm extrusion die model, and called than thermal model, coefficient of heat conduction model, root
Factually survey air cooling section temperature drop to be modified the air cooling section coefficient of heat transfer using the correction model of the coefficient of heat transfer, and then obtain air cooling section
Temperature field；
Step 3, the water cooling section coefficient of heat transfer is determined, includes determination and the low pressure stage water cooling coefficient of heat transfer of the high pressure section water cooling coefficient of heat transfer
Determination；The determination of the high pressure section water cooling coefficient of heat transfer, using experiment gained empirical data；
The determination of the low pressure stage water cooling coefficient of heat transfer, the amendment of the coefficient of heat transfer is utilized using the surface red temperature after quenching during air cooling
Model is modified to the coefficient of heat transfer of low pressure stage water cooling section；Specific method is using the temperature field after air cooling of coming out of the stove as water cooling section
Initial temperature field, give the low pressure stage initial coefficient of heat transfer, carry out Temperature calculating, and using after water cooling temperature field as returning at the beginning of red section
Beginning Temperature calculating returns the temperature value of red rear surface node, compared with measured value, calls the correction model pair of the coefficient of heat transfer
The water cooling coefficient of heat transfer is modified, and the air cooling coefficient of heat transfer is constant；And re-use warm extrusion die model, and call than thermal model,
Coefficient of heat conduction model carries out water cooling section, returns red section of Temperature calculating, to difference in the range of allowable error；
Step 4, the temperature drop curve of diverse location, cooling rate curve during the steel plate quenching to be tallied with the actual situation；
The correction model of the coefficient of heat transfer is described in above-mentioned steps 2, step 3：
Initial coefficient of heat transfer interval range [0, A] is given, capping value A carries out Temperature calculating as the initial coefficient of heat transfer, if
Calculated value is higher than desired value, then it is [A, 1.5A] to take hot coefficient range；More than change section the higher limit in one section is made every time
Lower limit between new district, and 1.5 times of the lower limit using between new district are to coefficient of heat transfer value as the higher limit between new district
The upper limit in the section, untill calculated value is less than desired value；Show that now actual convection transfer rate is in the section, in the area
It is interior to use Fibonacci method, section where constantly reducing, to measured value and desired value difference in the range of allowable error, now
Coefficient of heat transfer value is actual value.
2. the control method of big substance according to claim 1, big cross section super-thick steel plate roll-type quenching process, its feature exist
In the control of cool time in warm extrusion die model：The roller-way position that the model of steel plate calculates according to where steel plate is divided into three
Point, respectively into the air cooling section before quenching press, pass through quenching press when quenching section and by quenching press it is later return the red stage；
The time of air cooling section determines；To being respectively calculated end to end, steel plate head enter quenching press before be uniform motion, pass through head
Portion is calculated to the distance and initial velocity of quenching press；Roller-way starts to apply certain add after steel plate head enters quenching press
Speed, so the afterbody of steel plate proceeds by acceleration in air cooling section, it is now and apart from the position of quenching press steel plate length, leads to
Initial velocity, distance and acceleration are crossed to calculate afterbody air cooling time；
Quench the determination of section time；The quenching section time is divided into the time by high pressure section and the time by low pressure stage and determined first
High pressure segment length, according to the initial velocity and acceleration for setting roller-way, directly calculate the cool time of steel plate head；Due to
Steel plate head accelerates when entering quenching press to steel plate, and tail is determined by the time of air cooling accelerating part and acceleration before
Portion enters speed during quenching press, further according to speed now and acceleration calculation determine its by required for high pressure section when
Between, steel plate is determined by the low pressure stage time according to duration of oscillation；
Return the determination of red time；Its specific method is when steel plate goes out quenching press, timing is proceeded by by stopwatch, for steel
The same position of plate, it is measured in red temperature at different moments, stops timing after returning red end, take red temperature maximum to make
Target temperature temperature in being calculated for simulation, its corresponding time is as the time for returning the red stage.
3. the control method of big substance according to claim 1 or 2, big cross section super-thick steel plate roll-type quenching process, it is special
Sign is, the foundation of each section of initial temperature field model in step 2,3：Temperature is used as the initial of air cooling section when going out heating furnace using steel plate
Temperature field, temperature field is simulated after the air cooling being calculated using models for temperature field and is carried out with the temperature that temperature measuring point before quenching press measures
Compare amendment, finally give and meet temperature field after actual air cooling, and in this, as the initial temperature field of water cooling section, water cooling section is not
Need to be modified calculating, directly the model calculation is delivered to and returns the red stage, as the initial temperature field for returning the red stage.
4. the control method of big substance according to claim 1 or 2, big cross section super-thick steel plate roll-type quenching process, it is special
Sign is that step 4 output result includes air cooling section, water cooling high-low pressure section coefficient of heat transfer value, steel plate head, the surface of afterbody, four
/ mono-, the temperature variation curve of central part and cooling rate change curve.
5. the control method of big substance according to claim 3, big cross section super-thick steel plate roll-type quenching process, its feature exist
Include air cooling section, water cooling high-low pressure section coefficient of heat transfer value in, step 4 output result, steel plate head, the surface of afterbody, four/
First, the temperature variation curve of central part and cooling rate change curve.
6. big substance, the control method of big cross section super-thick steel plate roll-type quenching process according to claim 1 or 2 or 5, its
It is characterised by, in step 2,3：
1) than the calculating of thermal model；Specific heat coefficient is mainly relevant with the phosphorus content and temperature of steel plate；Definite value of the phosphorus content to set
As confining spectrum, when phosphorus content is not above-mentioned value, the left and right dividing value corresponding to it is first determined, is determined by way of interpolation
The weight of phosphorus content, then than section where constant temperature degree, so that it is determined that the specific heat of combustion of steel plate；
2) calculating of coefficient of heat conduction model；Experiment draws different phosphorus content steel plates specific heat of combustion at different temperatures and heat first
Conduction system numerical value, other phosphorus content are then determined by way of interpolation, specific heat and coefficient of heat conduction value corresponding to other temperature；
3) warm extrusion die model is：
The one-dimensional unsteady heat conduction differential equation established in cartesian coordinate system：
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Wherein：
X is division unit lattice length；D is steel plate thickness；T is the time；T is temperature；A is temperature diffusivity,For endogenous pyrogen；λ is to quench
The fiery plate coefficient of heat conduction；ρ is quenched nickelclad density；C is Quenching Sheet specific heat；
The latent heat of phase change in Cooling Process for Steel Plate Based is included in avergae specific heat during calculating, therefore endogenous pyrogen can be ignored；
Primary condition is：
T (x, 0)=T0 (0 ＜ x ＜ d, t ＞ 0)
Boundary condition is：
<mfenced open = "{" close = "">
<mtable>
<mtr>
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</mtd>
</mtr>
</mtable>
</mfenced>
In order to improve the convergence of Fourier number and stability and model is had more smaller error, using Crank-
Nicolson difference methods；
<mrow>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
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<mi>x</mi>
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</msup>
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<mi>i</mi>
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</msubsup>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<msubsup>
<mrow>
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</msup>
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</mrow>
<mi>i</mi>
<mi>t</mi>
</msubsup>
</mrow>
T is the time；I is node, 0≤i≤I；It is as follows to establish temperature field:
Internal node：
<mrow>
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<msub>
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<mi>x</mi>
</mrow>
</msub>
<msubsup>
<mi>T</mi>
<mrow>
<mi>i</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>t</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</msubsup>
<mo>+</mo>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mo>+</mo>
<mn>2</mn>
<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
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<mn>1</mn>
</mrow>
</msubsup>
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<mrow>
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<mi>T</mi>
<mrow>
<mi>i</mi>
<mo>+</mo>
<mn>1</mn>
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<mn>2</mn>
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<mi>i</mi>
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<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<msubsup>
<mi>T</mi>
<mrow>
<mi>i</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
<mi>t</mi>
</msubsup>
</mrow>
Boundary node：
<mfenced open = "" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mo>-</mo>
<msub>
<mi>F</mi>
<mrow>
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<mn>1</mn>
</mrow>
<mrow>
<mi>t</mi>
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<mn>1</mn>
</mrow>
</msubsup>
<mo>+</mo>
<mrow>
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<mn>1</mn>
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<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<msub>
<mi>B</mi>
<mrow>
<mi>i</mi>
<mi>x</mi>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<msubsup>
<mi>T</mi>
<mi>i</mi>
<mrow>
<mi>t</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</msubsup>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>=</mo>
<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<msubsup>
<mi>T</mi>
<mrow>
<mi>i</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
<mi>t</mi>
</msubsup>
<mo>+</mo>
<mrow>
<mo>(</mo>
<mrow>
<mn>1</mn>
<mo>-</mo>
<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<msub>
<mi>B</mi>
<mrow>
<mi>i</mi>
<mi>x</mi>
</mrow>
</msub>
</mrow>
<mo>)</mo>
</mrow>
<msubsup>
<mi>T</mi>
<mi>i</mi>
<mi>t</mi>
</msubsup>
<mo>+</mo>
<mn>2</mn>
<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<msub>
<mi>B</mi>
<mrow>
<mi>i</mi>
<mi>x</mi>
</mrow>
</msub>
<msub>
<mi>T</mi>
<mi>f</mi>
</msub>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
Wherein
hxFor convection transfer rate；TfFor water temperature；Temperature value when for the time being t corresponding to i-th of node of steel plate；FoxFor Fu
In the number of sheets；BixTo finish wet number；
Stability condition is:
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mn>1</mn>
<mo>-</mo>
<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<mo>&GreaterEqual;</mo>
<mn>0</mn>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mn>1</mn>
<mo>-</mo>
<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>F</mi>
<mrow>
<mi>o</mi>
<mi>x</mi>
</mrow>
</msub>
<msub>
<mi>B</mi>
<mrow>
<mi>i</mi>
<mi>x</mi>
</mrow>
</msub>
<mo>&GreaterEqual;</mo>
<mn>0</mn>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
Under conditions of known initial temperature field and the coefficient of heat transfer, the temperature of any instant any node after being gone out by Difference Calculation
Spend distribution situation.
Priority Applications (3)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711282218.0A CN107760830B (en) | 2017-12-07 | 2017-12-07 | A kind of control method of big substance, big cross section super-thick steel plate roll-type quenching process |
| PCT/CN2018/113711 WO2019109766A1 (en) | 2017-12-07 | 2018-11-02 | Control method for roller-type quenching process of large-single-weight large-section super-thick steel plate |
| US16/340,008 US20190360066A1 (en) | 2017-12-07 | 2018-11-02 | Control method for roller quenching process of heavy-piece weight and large-section ultra-heavy plate |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711282218.0A CN107760830B (en) | 2017-12-07 | 2017-12-07 | A kind of control method of big substance, big cross section super-thick steel plate roll-type quenching process |
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| Publication Number | Publication Date |
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| CN107760830A true CN107760830A (en) | 2018-03-06 |
| CN107760830B CN107760830B (en) | 2018-12-28 |
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Country Status (3)
| Country | Link |
|---|---|
| US (1) | US20190360066A1 (en) |
| CN (1) | CN107760830B (en) |
| WO (1) | WO2019109766A1 (en) |
Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2019109766A1 (en) * | 2017-12-07 | 2019-06-13 | 东北大学 | Control method for roller-type quenching process of large-single-weight large-section super-thick steel plate |
| CN110438318A (en) * | 2019-07-22 | 2019-11-12 | 中南大学 | A kind of large-scale vertical glowing furnace low energy consumption steepest method for controlling temperature rise and system |
| CN111215457A (en) * | 2020-01-16 | 2020-06-02 | 广东韶钢松山股份有限公司 | Method and device for controlling cooling of medium plate after rolling and electronic equipment |
| CN111286598A (en) * | 2020-03-20 | 2020-06-16 | 首钢京唐钢铁联合有限责任公司 | Method, device and system for controlling temperature of preheating section of annealing furnace |
| CN113158592A (en) * | 2021-03-25 | 2021-07-23 | 中船重工（上海）新能源有限公司 | Method for calculating air flow pulsation of pipeline of screw compressor |
| CN113604649A (en) * | 2021-07-28 | 2021-11-05 | 太原重工股份有限公司 | Heat treatment method for 42CrMo alloy structural steel hollow shaft type forge piece and hollow shaft type forge piece prepared by heat treatment method |
| CN113642218A (en) * | 2021-08-18 | 2021-11-12 | 南京钢铁股份有限公司 | System and method for determining critical heating rate of steel plate quenching treatment |
| CN114410956A (en) * | 2021-12-08 | 2022-04-29 | 中航工程集成设备有限公司 | Online control system and method for intermittent aluminum coil annealing furnace |
| CN117920985A (en) * | 2024-03-20 | 2024-04-26 | 成都新航工业科技股份有限公司 | Molten liquid transferring method and device for casting gypsum mold investment pattern |
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| TWI796041B (en) * | 2021-12-10 | 2023-03-11 | 中國鋼鐵股份有限公司 | Dynamic Pressure Compensation Method for Weighing System of Blast Furnace Roof Bunker |
| CN114480829B (en) * | 2022-01-13 | 2024-06-25 | 陕西化建工程有限责任公司 | Method for simulating heat treatment process of process equipment with different thicknesses by using heat treatment test plate |
| CN114438286B (en) * | 2022-01-13 | 2023-05-26 | 西安石油大学 | Method for simulating heat treatment process of equipment in different material process by heat treatment test plate |
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Cited By (13)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2019109766A1 (en) * | 2017-12-07 | 2019-06-13 | 东北大学 | Control method for roller-type quenching process of large-single-weight large-section super-thick steel plate |
| CN110438318A (en) * | 2019-07-22 | 2019-11-12 | 中南大学 | A kind of large-scale vertical glowing furnace low energy consumption steepest method for controlling temperature rise and system |
| CN111215457A (en) * | 2020-01-16 | 2020-06-02 | 广东韶钢松山股份有限公司 | Method and device for controlling cooling of medium plate after rolling and electronic equipment |
| CN111286598A (en) * | 2020-03-20 | 2020-06-16 | 首钢京唐钢铁联合有限责任公司 | Method, device and system for controlling temperature of preheating section of annealing furnace |
| CN113158592A (en) * | 2021-03-25 | 2021-07-23 | 中船重工（上海）新能源有限公司 | Method for calculating air flow pulsation of pipeline of screw compressor |
| CN113604649B (en) * | 2021-07-28 | 2023-05-16 | 太原重工股份有限公司 | Heat treatment method for 42CrMo alloy structural steel hollow shaft forging and hollow shaft forging prepared by heat treatment method |
| CN113604649A (en) * | 2021-07-28 | 2021-11-05 | 太原重工股份有限公司 | Heat treatment method for 42CrMo alloy structural steel hollow shaft type forge piece and hollow shaft type forge piece prepared by heat treatment method |
| CN113642218A (en) * | 2021-08-18 | 2021-11-12 | 南京钢铁股份有限公司 | System and method for determining critical heating rate of steel plate quenching treatment |
| CN113642218B (en) * | 2021-08-18 | 2023-12-15 | 南京钢铁股份有限公司 | Determination system and determination method for critical heating rate of steel plate quenching treatment |
| CN114410956A (en) * | 2021-12-08 | 2022-04-29 | 中航工程集成设备有限公司 | Online control system and method for intermittent aluminum coil annealing furnace |
| CN114410956B (en) * | 2021-12-08 | 2023-06-02 | 中航工程集成设备有限公司 | Online control system and method for intermittent aluminum coil annealing furnace |
| CN117920985A (en) * | 2024-03-20 | 2024-04-26 | 成都新航工业科技股份有限公司 | Molten liquid transferring method and device for casting gypsum mold investment pattern |
| CN117920985B (en) * | 2024-03-20 | 2024-06-11 | 成都新航工业科技股份有限公司 | Molten liquid transferring method and device for casting gypsum mold investment pattern |
Also Published As
| Publication number | Publication date |
|---|---|
| US20190360066A1 (en) | 2019-11-28 |
| CN107760830B (en) | 2018-12-28 |
| WO2019109766A1 (en) | 2019-06-13 |
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