CN111961776A - Thermocouple position mapping method for corner area of blast furnace hearth lining - Google Patents
Thermocouple position mapping method for corner area of blast furnace hearth lining Download PDFInfo
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Abstract
本发明公开了一种高炉内衬角落区域热电偶温度映射方法。通过高炉炉缸内衬二维/三维传热过程的数值仿真,得到高炉内衬温度分布;绘出内衬角落区域等温线,随后将布置在炉缸内衬角落区域附近的热电偶测温数据沿等温线移动到角落区域任一热流线上,实现热电偶测温数据在角落区域任一热流线上的映射。本发明能提高炉缸区域热电偶测温数据的利用率,为角落区域的一维传热计算提供基础数据,为实现角落区域侵蚀情况的在线预测提供技术支持。The invention discloses a thermocouple temperature mapping method in the corner area of a blast furnace lining. Through the numerical simulation of the two-dimensional/three-dimensional heat transfer process of the blast furnace hearth lining, the temperature distribution of the blast furnace lining was obtained; the isotherm of the lining corner area was drawn, and then the temperature measurement data of the thermocouples arranged near the corner area of the hearth lining were measured. Move along the isotherm to any heat flow line in the corner area to realize the mapping of thermocouple temperature measurement data on any heat flow line in the corner area. The invention can improve the utilization rate of the thermocouple temperature measurement data in the hearth area, provide basic data for one-dimensional heat transfer calculation in the corner area, and provide technical support for realizing the online prediction of the erosion situation in the corner area.
Description
技术领域technical field
本发明属于高炉炉缸内衬侵蚀在线预测领域,具体涉及一种炉缸区域内衬热电偶位置映射方法。The invention belongs to the field of online prediction of lining erosion in blast furnace hearth, and particularly relates to a method for mapping the position of a thermocouple in a hearth area.
背景技术Background technique
高炉炉缸内衬侵蚀情况直接决定高炉使用寿命,因而对其侵蚀情况的预测是高炉长寿研究的重点和难点。目前高炉内衬侵蚀情况的在线预测方法是将炉缸内衬的传热过程简化为一维传热模型,基于傅立叶导热定律,根据炉衬同一热流方向上的2个热电偶的温度数据,计算出炉缸内衬热面位置坐标,进而得到内衬侵蚀或结渣情况。The erosion condition of blast furnace hearth lining directly determines the service life of blast furnace, so the prediction of its erosion condition is the focus and difficulty of blast furnace service life research. At present, the online prediction method for the erosion of blast furnace lining is to simplify the heat transfer process of the hearth lining into a one-dimensional heat transfer model. Based on the Fourier heat conduction law, according to the temperature data of two thermocouples in the same heat flow direction of the furnace lining, the calculation is carried out. The position coordinates of the hot surface of the cylinder lining, and then the erosion or slagging of the lining can be obtained.
然而角落区域温度受侧部和底部内衬传热过程的影响,其温度沿径向和高度方向发生显著变化,因而从炉壳到内衬热面的热流线沿径向和高度方向不规则延伸,如图1所示;此外,受炉缸内铁水流动、死料柱浮起高度等的影响,角落区域易发生侵蚀,内衬厚度的不断变化导致该区域温度分布变化显著,造成角落区域热流线也随之发生变化。对于角落区域,很难保证有2支预埋的热电偶在同一热流线上。因此,在同一热流线上如何获取2个温度数据,是应用一维传热模型预测炉缸内衬角落区域侵蚀状况在线预测的关键。However, the temperature in the corner area is affected by the heat transfer process of the side and bottom linings, and its temperature changes significantly in the radial and height directions, so the heat flow lines from the furnace shell to the lining hot surface extend irregularly in the radial and height directions. , as shown in Figure 1; in addition, affected by the flow of molten iron in the hearth, the floating height of the dead column, etc., the corner area is prone to erosion, and the continuous change of the thickness of the lining leads to a significant change in the temperature distribution in this area, resulting in heat flow in the corner area. The line also changes accordingly. For corner areas, it is difficult to ensure that there are 2 embedded thermocouples on the same heat flow line. Therefore, how to obtain two temperature data on the same heat flow line is the key to the online prediction of the erosion state of the corner area of the hearth lining by applying the one-dimensional heat transfer model.
发明内容SUMMARY OF THE INVENTION
为实现高炉炉缸内衬角落区域温度的准确获取,本发明提出一种高炉炉缸内衬角落区域热电偶位置映射方法,充分利用热电偶数据绘制角落区域热流线,从而提高基于一维传热的高炉内衬侵蚀形貌预测的可靠性。In order to achieve the accurate acquisition of the temperature in the corner area of the blast furnace hearth lining, the present invention proposes a method for mapping the position of thermocouples in the corner area of the blast furnace hearth lining, making full use of the thermocouple data to draw the heat flow line in the corner area, thereby improving the one-dimensional heat transfer based on Reliability of prediction of blast furnace lining erosion morphology.
为实现上述技术目的,本发明提供的技术方案如下:For realizing the above-mentioned technical purpose, the technical scheme provided by the present invention is as follows:
本发明为一种高炉内衬角落区域热电偶位置映射方法,包括以下步骤:The present invention is a method for mapping the position of a thermocouple in a corner area of a blast furnace lining, comprising the following steps:
根据炉缸内部铁水流动形式和炉缸内衬结构、材料建立数值仿真模型,确定定解条件,在定解条件的约束下,对数值仿真模型进行数值模拟计算,得到内衬温度分布;According to the flow pattern of molten iron inside the hearth and the structure and material of the inner lining of the hearth, a numerical simulation model is established, and the fixed solution conditions are determined.
根据内衬温度分布建立内衬等温线;Establish lining isotherm according to lining temperature distribution;
根据侧部及底部热电偶测温数据,沿该测温数据所在的等温线将热电偶移动到角落区域相应热流线上,完成其位置的映射。According to the temperature measurement data of the side and bottom thermocouples, move the thermocouple to the corresponding heat flow line in the corner area along the isotherm where the temperature measurement data is located to complete the mapping of its position.
在实际应用时,对炉缸区域(含炉衬)进行几何建模和网格划分,确定炉缸铁水流动传热过程数值仿真模型及定解条件,进行数值模拟计算,获取炉衬温度分布。In practical application, geometric modeling and mesh division of the hearth area (including furnace lining) are carried out to determine the numerical simulation model and solution conditions for the flow and heat transfer process of molten iron in the hearth, and the numerical simulation calculation is carried out to obtain the temperature distribution of the furnace lining.
进一步地,数值仿真模型包括:铁水流动传热及流固耦合的数学模型。Further, the numerical simulation model includes: a mathematical model of molten iron flow and heat transfer and fluid-solid coupling.
本发明一种高炉内衬角落区域热电偶位置映射方法,所述炉缸内衬等温线的获取绘制包含以下步骤:提取数值仿真得到的网格节点温度数据,利用插值法对温度数据及相应位置进行插值;基于数值仿真和插值后的位置和温度数据,绘制热电偶测温数据所在等温线,且在较小温差范围内,绘制尽可能多的等温线,形成内衬区域的等温线簇。The invention provides a method for mapping the position of thermocouples in the corner area of a blast furnace lining. The acquisition and drawing of the isotherm of the hearth lining includes the following steps: extracting grid node temperature data obtained by numerical simulation, and using an interpolation method to map the temperature data and corresponding positions. Interpolate; based on the numerical simulation and the interpolated position and temperature data, draw the isotherm where the thermocouple temperature measurement data is located, and within a small temperature difference range, draw as many isotherms as possible to form isotherm clusters in the lining area.
进一步地,线性插值获取更密集温度数据步骤为:根据角落区域网格数量,利用线性内插法计算网格间离散点的数据。Further, the step of obtaining denser temperature data by linear interpolation is: according to the number of grids in the corner area, using a linear interpolation method to calculate the data of discrete points between grids.
在实际应用时,基于角落区域全场温度分布,结合侧壁及底部热电偶测温数据,将温度场划分为N个温度区间(含热电偶测温数据),构建角落区域等温线簇。所述N大于等于15;优选大于等于20。In practical applications, based on the full-field temperature distribution in the corner area, combined with the sidewall and bottom thermocouple temperature measurement data, the temperature field is divided into N temperature intervals (including thermocouple temperature measurement data), and the corner area isotherm cluster is constructed. The N is greater than or equal to 15; preferably greater than or equal to 20.
在实际应用时,以内衬中靠近炉壳的浅层热电偶或内衬浅层任意位置作为起点,依次做等温线的垂线,构建从内衬浅层热电偶出发的热流线。In practical application, the shallow thermocouple in the lining close to the furnace shell or any position of the shallow lining layer is used as the starting point, and the vertical lines of the isotherm are made in turn to construct the heat flow line from the shallow lining thermocouple.
本发明为一种高炉内衬角落区域热电偶位置映射方法,所述热电偶位置映射过程包含以下步骤:根据热电偶温度数据所在等温线,将热电偶测温数据移动到角落区域目标热流线上。The invention relates to a method for mapping the position of thermocouples in the corner area of a blast furnace lining. The process of mapping the position of thermocouples includes the following steps: moving the thermocouple temperature measurement data to the target heat flow line in the corner area according to the isotherm where the thermocouple temperature data is located. .
在实际应用时,将不在热流线上的热电偶数据通过与其测温值相等的等温线移动到角落区域相应的热流线上,完成映射,获取映射后的热电偶的坐标,用来进行后续一维传热计算。In practical application, the thermocouple data that is not on the heat flow line is moved to the corresponding heat flow line in the corner area through the isotherm line equal to its temperature measurement value to complete the mapping, and obtain the coordinates of the mapped thermocouple for the follow-up. Dimensional heat transfer calculations.
本发明为一种高炉内衬角落区域热电偶位置映射方法,所述目标热流线包含两个热电偶数据;以上两个热电偶数据由一个实际热电偶测温数据和映射后的热电偶数据构成,或两个数据均为映射后的热电偶数据。The invention relates to a method for mapping the position of thermocouples in the corner area of a blast furnace lining. The target heat flow line includes two thermocouple data; the above two thermocouple data are composed of an actual thermocouple temperature measurement data and the mapped thermocouple data. , or both data are mapped thermocouple data.
与现有技术相比,本发明的优点在于:Compared with the prior art, the advantages of the present invention are:
1)提高了内衬布置的热电偶测温数据利用率;1) Improve the utilization rate of thermocouple temperature measurement data with lining arrangement;
2)提高了角落区域热流线绘制的准确性,为一维传热模型在角落区域侵蚀预测方面的应用提供支撑。2) The accuracy of the heat flow line drawing in the corner region is improved, which provides support for the application of the one-dimensional heat transfer model in the prediction of erosion in the corner region.
附图说明Description of drawings
附图1为炉缸内衬热流线示意图Accompanying drawing 1 is the schematic diagram of hearth lining heat flow line
附图2为本发明实施例中热电偶位置映射流程图;Accompanying
附图3为高炉炉缸出铁口侧(含内衬)结构及热电偶位置;Accompanying drawing 3 is the taphole side (including lining) structure and thermocouple position of blast furnace hearth;
附图4为实施例1中出铁口侧炉缸内衬温度分布;Accompanying
附图5为出铁口侧角落区域等温线及热流线图。Figure 5 is the isotherm and heat flow diagram of the corner area on the tap hole side.
具体实施方式Detailed ways
以下结合附图和具体实施方式对本发明进行进一步具体说明。The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
1)某高炉出铁口侧热电偶安装位置示意图如图3所示。在侧部共布置了四层热电偶,分别将其标记为G、H、J、K、L,底部布置了一层热电偶(M层)。1) The schematic diagram of the installation position of the thermocouple on the tap hole side of a blast furnace is shown in Figure 3. A total of four layers of thermocouples are arranged on the side, which are marked as G, H, J, K, and L respectively, and a layer of thermocouples (M layer) is arranged on the bottom.
2)利用高炉操作参数和结构进行高炉炉缸内铁水流动传热过程以及铁水与内衬的流固耦合的数值仿真,得到炉缸内部炉衬及铁水温度分布。高炉炉缸结构及铁水流动传热及流固耦合的数学模型如下:2) Numerical simulation of the flow and heat transfer process of molten iron in the blast furnace hearth and the fluid-solid coupling between the molten iron and the lining is carried out by using the operating parameters and structure of the blast furnace, and the temperature distribution of the inner lining and the molten iron in the hearth is obtained. Mathematical models of blast furnace hearth structure and molten iron flow heat transfer and fluid-solid coupling are as follows:
炉缸内流动传热的控制方程如下:The governing equation of flow heat transfer in the hearth is as follows:
连续性方程:Continuity Equation:
动量方程:Momentum equation:
对于铁水湍流流动,采用标准的k-ε湍流模型。For the turbulent flow of molten iron, the standard k-ε turbulence model is used.
能量方程:Energy equation:
式中,ρ为炉缸中铁水密度,kg/m3;u为铁水在x方向速度,m/s;v为铁水在y方向速 度,m/s。p为铁水压力,Pa;μ为铁水动力粘度,Pa·s;g为重力加速度,m/s2 ;S i(i=x,y)为流体流经死料柱所产生的阻力。k为铁水导热系数,W/(m·K);cp 为铁水定压比热容,J/(kg·K),T为铁水温度,K。 In the formula, ρ is the density of molten iron in the hearth, kg/m 3 ; u is the velocity of molten iron in the x direction, m/s; v is the velocity of molten iron in the y direction , m/s. p is the pressure of molten iron, Pa; μ is the dynamic viscosity of molten iron, Pa·s; g is the acceleration of gravity, m/s 2 ; Si ( i =x, y) is the resistance generated by the fluid flowing through the dead stock column. k is the thermal conductivity of molten iron, W/(m·K); c p is the specific heat capacity of molten iron at constant pressure, J/(kg·K), and T is the temperature of molten iron, K .
动量方程式(2)和式(3)中的源项Si(i=x,y)利用流体流经多孔介质的阻力计算The source term Si ( i =x,y) in the momentum equations (2) and (3) is calculated using the resistance of the fluid flowing through the porous medium 方程,即厄根方程计算得到,以X方向为例,如式(5)所示:The equation, that is, the Ergen equation is calculated, taking the X direction as an example, as shown in formula (5):
式中,dp为炉料平均颗粒直径,m。上式中右边第一项为粘性损失项,第二项为惯性损失项。每个方向上相应的粘性损失系数1/α和惯性损失系数C2的计算式如下:In the formula, d p is the average particle diameter of the charge, m. The first term on the right side of the above equation is the viscous loss term, and the second term is the inertial loss term. The corresponding viscous loss coefficient 1/α and inertial loss coefficient C 2 in each direction are calculated as follows:
式中,为颗粒形状系数;ε为炉缸中处理为多孔介质的死铁层或焦炭层的孔隙率;In the formula, is the particle shape coefficient; ε is the porosity of the dead iron layer or coke layer treated as porous media in the hearth;
对于流固耦合模型,在实际数值仿真过程中,将所有与铁水直接接触的壁面均设For the fluid-solid coupling model, in the actual numerical simulation process, all the walls in direct contact with molten iron are set as 为流固耦合边界来实现,这样保证求解器采用边界相邻网格的数据来计算内衬和铁水之间It is implemented for the fluid-structure interaction boundary, which ensures that the solver uses the data of the adjacent grids of the boundary to calculate the distance between the lining and the molten iron. 传递的热量,用Qc表示。随后利用傅里叶导热定律(式(6))来计算炉衬内的温度分布。The heat transferred, denoted by Q c . The temperature distribution within the furnace lining is then calculated using Fourier's law of heat conduction (equation (6)).
式中,Q c 为通过侧壁计算区域的热流,W;A为侧壁计算区域垂直于热流方向的截面积,m2;r为内衬中某点距炉中心距离,m;H为侧壁计算区域的高度,m;k为导热系数,W/(m·K)。In the formula, Q c is the heat flow through the side wall calculation area, W; A is the cross-sectional area of the side wall calculation area perpendicular to the heat flow direction, m 2 ; r is the distance from a point in the lining to the center of the furnace, m; H is the side The height of the wall calculation area, m; k is the thermal conductivity, W/(m·K).
模型定解条件如下:The model solution conditions are as follows:
(1)入口边界:将炉缸内铁水的自由平面设置为速度入口,通过出铁口均匀出铁率换算得到;(1) Inlet boundary: the free plane of molten iron in the hearth is set as the velocity inlet, which is obtained by converting the uniform tap rate of the tap hole;
(2)出口条件:在炉缸出口处采用压力出口,设定恒定压力值;(2) Outlet conditions: a pressure outlet is used at the hearth outlet, and a constant pressure value is set;
(3)炉缸侧壁和底部外表面:对流边界,对流换热系数通过炉缸侧壁和底部冷却水温度和流量换算得到。(3) Outer surface of the sidewall and bottom of the hearth: Convective boundary, the convective heat transfer coefficient is converted from the temperature and flow rate of the cooling water on the sidewall and bottom of the hearth.
另外,炉缸顶部的耐火面设置为了绝热墙,所有固体墙都设置为无滑移边界条件。In addition, the refractory surface at the top of the hearth was set as an insulating wall, and all solid walls were set as no-slip boundary conditions.
最终由数值仿真得到的一定侵蚀情况下炉缸内衬温度分布如图4所示。Finally, the temperature distribution of the hearth lining under certain erosion conditions obtained by numerical simulation is shown in Figure 4.
3)提取图4网格节点温度,利用插值方法对结果进行精细化处理;数值仿真得到的炉缸等温线上网格节点及精细化后得到的离散点坐标如表1所示(以无出铁口侧575K等温线,-6.60~-6.50m位置为例)。3) Extract the temperature of grid nodes in Fig. 4, and use the interpolation method to refine the results; the grid nodes on the isotherm of the hearth obtained by numerical simulation and the coordinates of discrete points obtained after refinement are shown in Table 1 (with no iron casting) 575K isotherm on the mouth side, -6.60~-6.50m position as an example).
表1 575K等温线上出铁口网格节点及离散点坐标(-6.5~-6.4部分)Table 1 Grid nodes and discrete point coordinates of taphole on 575K isotherm line (part -6.5~-6.4)
表1中下划线标识的为网格节点坐标,其他为利用插值法精细化处理后得到的离散点坐标。与获取表2类似,对炉缸内衬其他层,同样采用插值法,获得其他等温线上网格节点位置以及精细化处理后的离散点位置,为下一步热流线的绘制做准备。In Table 1, the underline marks are the grid node coordinates, and the others are the discrete point coordinates obtained after refined processing using the interpolation method. Similar to obtaining Table 2, the interpolation method is also used for other layers of the hearth lining to obtain the positions of grid nodes on other isotherms and the positions of discrete points after refined processing, so as to prepare for the drawing of heat flow lines in the next step.
4)炉缸内衬热流线的绘制4) Drawing of heat flow lines in hearth lining
利用热电偶以及精细化处理后的离散点的相应位置坐标和温度数据,绘制热流线,绘制方法为:连接上一步中各温度相同的离散点,构成等温线。选取过浅层热电偶所在位置或浅层内衬任一位置为热流线起点,过该点向内衬内层等温线做垂线,垂足即为构成热流线的离散点;再过垂足继续做内层等温线的垂线,得到所有构成热流线的离散点,如图5所示。Use the thermocouple and the corresponding position coordinates and temperature data of the refined discrete points to draw the heat flow line. The drawing method is: connect the discrete points with the same temperature in the previous step to form an isotherm. Select the position of the super-shallow thermocouple or any position of the shallow lining as the starting point of the heat flow line, and make a vertical line to the isotherm of the inner lining through this point, and the vertical foot is the discrete point that constitutes the heat flow line; Continue to make the vertical line of the inner layer isotherm to get all the discrete points that make up the heat flow line, as shown in Figure 5.
5)热电偶位置的映射5) Mapping of thermocouple positions
提取图3中G、H、J、K、L、M层热电偶原始测温点位置、离散点坐标及其温度。热电偶数据如表2所示(以出铁口侧为例),Extract the positions of the original temperature measurement points, discrete point coordinates and their temperatures of the G, H, J, K, L, and M layers of thermocouples in Figure 3. The thermocouple data is shown in Table 2 (take the tap hole side as an example),
表2 出铁口侧热电偶位置及测温数据Table 2 The position and temperature measurement data of the thermocouple on the tap hole side
基于所获取的热流线以及内层热电偶测温值,获得深层热电偶在热流线的映射点。本实例中,若以内衬中R点为某热流线起点,G层点P位置处深层热电偶(-6.287m,3.38m,543.6K)在该热流线上的映射位置如图5中点Q所示(-5.785m,1.628m,543.6K)所示;若以表层热电偶为热流线起点,其他各层深层热电偶具体位置坐标如表3所示(以出铁口侧为例)。Based on the obtained heat flow line and the temperature measurement value of the inner thermocouple, the mapping point of the deep thermocouple on the heat flow line is obtained. In this example, if point R in the lining is the starting point of a heat flow line, the mapping position of the deep thermocouple (-6.287m, 3.38m, 543.6K) at the position of point P in the G layer on the heat flow line is shown in the middle point in Figure 5 As shown in Q (-5.785m, 1.628m, 543.6K); if the surface thermocouple is used as the starting point of the heat flow line, the specific position coordinates of the other deep thermocouples are shown in Table 3 (take the tap hole side as an example) .
表3 出铁口侧炉缸内衬深层热电偶温度TD在角落区域的映射位置Table 3 The mapping position of the thermocouple temperature T D in the corner area of the deep lining of the tap hole side hearth
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