軋制過程中的熱傳遞外文文獻翻譯軋鋼機機械外文翻譯中英文翻譯

1、<p><b>　　附錄</b></p><p>　　Heat Transfer During the Rolling Process</p><p>　　1 WORKPIECE TEMPERATURE CHANGE IN HOT STRIP MILL</p><p>　　After reheating a slab to a des

2、ired temperature, it is subjected to rolling. A rolling cycle in a typical hot strip mill includes the following main steps:</p><p>　　1、 Descaling of the slab prior to flat rolling by using high-pressure wat

3、er descaling system in combination, in some cases, with edging.</p><p>　　2、 Rough rolling to a transfer bar thickness which may vary from 19 to 40 mm. The rough rolling is usually accompanied by edging and i

4、nter pass descaling.</p><p>　　3、 Transfer of the transfer bar from roughing mill to a flying shear installed ahesd of finishing mill. The shear is usually designed to cut both head and tail ends of the bar.&

5、lt;/p><p>　　4、 Descaling of the transfer bar prior to entering the finishing mill.</p><p>　　5、 Finish rolling to a desired thickness with a possible use of interstand descaling and strip cooling.&l

6、t;/p><p>　　6、 Air and water cooling of the rolled product on run-out table.</p><p>　　7、 Cliling of the rolled product.</p><p>　　Various types of heat transfer from the rolled workpiece

7、 to its surrounding matter occur during the rolling cycle. Some of the lost heat is recovered by generating heat inside the workpiece during its deformation.</p><p>　　The main components of the workpiece tem

8、perature loss and gain in hot strip mill are usually identified as follows:</p><p>　　1、 loss due to heat radiation,</p><p>　　2、 loss due to heat convection,</p><p>　　3、 loss due to

9、water cooling,</p><p>　　4、 loss due to heat conduction to the work rolls and table rolls,</p><p>　　5、 gain due to mechanical work and friction.</p><p>　　The analytical aspects of th

10、ese components are briefly described below.</p><p>　　2 TEMPERATURE LOSS DUE TO TADIATION</p><p>　　Two methods have been employed to derive equations for temperature loss due to radiation.</p&

11、gt;<p>　　In the first method, the temperature gradient within the material is assumed to be negligible. The amount of heat radiated to the environment is then calculated using the Stefan-Boltzmann law:</p>

12、<p><b>　　q=S</b></p><p>　　Where —surface area of body subjected to radiation, m2;]</p><p>　　q—amount of heat radiated by a body,J;</p><p>　　S—Stefan-Boltzmann con

13、stant;</p><p>　　T—temperature of rolled material at time,K;</p><p>　　Ta—ambient temperature,K;</p><p><b>　　t—time,s;</b></p><p>　　—emissivity.</p>&l

14、t;p>　　The amount of heat lost by a body q is give by:</p><p><b>　　q=</b></p><p>　　Where c—specific heart of rolled material, J/（kg·K）;</p><p>　　Vr—volume of bo

15、dy subjected to radiation, m3</p><p>　　—density of rolled material, kg/m3。</p><p>　　The rate of temperature loss ar can be calculated by considering the heat balance condition q=q, and Eqs.1-1 a

16、nd 1-2:</p><p><b>　　ar= </b></p><p>　　Equations for the rate of temperature loss due to radiation which have been obtained by reducing some of the known equations to a compatible for

17、m with an assumption that Ta<T are summarized in Table 1-1. In the derivation of these equations, the dependency of the parameters S、、 and c on temperature is not taken into account. However, the variations of these c

18、onstants with temperature may be significant and,therefore, the final from of 1-3 will depend on the average values selected for these cons</p><p>　　The temperature loss during radiation time tr can be calc

19、ulate by intergrating the differential equation:</p><p><b>　　=</b></p><p>　　The second method of calculating temperature loss due to radiation takes into account the heat transfer al

20、ong the thickness of the material. If z is the distance from the center of the body toward its surface, then from a Fourier equation we obtain:</p><p>　　Where a—thermal diffusivity of rolled material ,m2/s

21、</p><p>　　The differential equation 1-5 can be solved numerically by the method of finite differences.</p><p>　　The goal of these calculations is to establish a relationship between the average

22、temperature of the material Tave which would affect the rolling deformation process and the material surface temperature Tsurface which could be measured.</p><p>　　3 TEMPERTURE LOSS DUE TO CONVECTION</p&g

23、t;<p>　　In the hot strip mill, heat transfer by convection is related to the motion of air surrounding a workpiece. This motion continuously brings new particles of air into contact with the workpiece. Depending u

24、pon whether this internal motion is forced, or free, the heat transfer is referred to as either forced or free convection. The latter is a usual case in the hot strip mills.</p><p>　　A key factor in the calc

25、ulation of temperature losses due to convection is to determine the heat transfer coefficient, which depends on the material temperature, ambient temperature, material specific heat and density, and the dynamic viscosity

26、 of the air flow and its characteristic, i.e., free, enforced laminar, turbulent, etc. The known mathematical interpretations of this relationship are too controversial to be recommended for practical calculation. A cons

27、ensus among some research workers is</p><p><b>　　=（）</b></p><p>　　Here is the ratio between the temperature loss due to convection and radiation and varies between 0.01 and 0.22 acc

28、ording to different studies.</p><p>　　4 TEMPERATURE LOSS DUE TO WTER COOLING</p><p>　　The temperature loss due to water cooling can be calculated by assuming that conduction plays a major role i

29、n heat transfer from a workpiece to water. Therefore, when water contacts one side of the workpiece continuously across its width, the amount of heat passing through the outer surface of the workpiece may be expressed by

30、 the formula:</p><p>　　Where k—thermal conductivity of the surface layer, W/（m·K）；</p><p>　　—amount of heat passing through outer surface of the workpiece,J;</p><p>　　b—water

31、contact length, m;</p><p>　　w—workpiece width, m;</p><p>　　Tw—water temperature, K;</p><p>　　tw—water contact time,s.</p><p>　　The amount of heat released by a workpiec

32、e is given by:</p><p>　　Where v—volume of workpiece cooled by the water,m3;</p><p>　　—temperature loss due to water cooling, K.</p><p>　　From the heat balance condition =,Eqs.1-7

33、and 1-8, and taking into account that</p><p><b>　　tw=</b></p><p>　　where V—workpiece velocity, m/s</p><p><b>　　and </b></p><p>　　We obtain tha

34、t the temperature loss due to water cooling is equal to </p><p><b>　　=</b></p><p>　　The amount of heat absorbed by cooling water may be expressed as:</p><p><b>　　=

35、</b></p><p>　　Where ——density of water ，kg/m3；</p><p>　　——specific heat of water，J/（kg·K）；</p><p>　　Vw——volume of water absorbing heat，m3；</p><p>　　From he

36、rt balance =, Eqs.1-8, 1-11, and 1-12, and also taking into account that</p><p>　　Where d—water flow per unit of strip width, m3/（m·s）.</p><p>　　We obtain the following formula for the te

37、mperature rise of water:</p><p><b>　　=</b></p><p>　　Equation 1-11 does not show an explicit dependence of the temperature loss on the flow rate and pressure of cooling water. The flo

38、w rate and pressure, however, may substantially affect the thermal conductivity k of the surface layer that separates the body of workpiece from cooling water. Indeed, the surface layer consists of scale and boiled water

39、, which work as a thermal barrier. This barrier will be weakened to a greater degree with increase of both the flow rate and pressure of cooling water</p><p>　　5 TEMPERATURE LOSS DUE TO CONDUCTION TO WORK RO

40、LLS</p><p>　　Temperature loss due to heat conduction to the work roll can be calculated if it is assumed that two bodies of uniform unitial temperature T and Tr are pressed against each other and that, at th

41、e interface, considered to be plane, there is contact resistance formed by oxide layer.</p><p>　　Under these assumptions, the process can be described with the following heat balance equations. According to

42、Schack, the total amount of heat passing through two outer surfaces of the plate may be calculated from the formula</p><p>　　Where Ac——contact area between rolled material and work rolls，m2；</p><

43、;p>　　k——thermal conductivity of the workpiece oxide layer，W/（m·K）；</p><p>　　——heat gained by work roll or heat lost by body due to thermal conduction，J；</p><p>　　Tr——roll temperature,K;&

44、lt;/p><p>　　a——thermal diffusivity of workpiece,m2/s。</p><p>　　The amount of heat lost by the rolled metal in the roll bite is given by:</p><p>　　Where ——temperature loss by rolled m

45、aterial due to contact with work rolls,K.</p><p>　　From the heat balance condition =,Eqs 1-15 and 1-16, and also taking into account that </p><p><b>　　and </b></p><p&g

46、t;　　where R—work roll radius, m.</p><p>　　ha—average workpiece thickness, m.</p><p>　　we obtain the following formula for the temperature loss due to conduction to work rolls:</p><p

47、>　　Equation for temperature loss due to contact with rolls which have been obtained by reducing some of the known equations to a compatible. The substantial discrepancies in temperature losses calculated from differen

48、t equations are due mainly to the uncertainty in estimating thermal conductivity k which depends on the contact resistance resistance of the oxide layer between the roll and the rolled material.</p><p><b

49、>　　軋制過程中的熱傳遞</b></p><p>　　1 熱帶軋制的溫度變化</p><p>　　板坯再加熱到所要求的溫度后進行軋制。一個典型的熱帶軋制工藝包括以下幾個主要步驟：</p><p>　　1板坯軋制前用高壓水除鱗系統(tǒng)除鱗，有時采用立輥軋機同時除鱗。</p><p>　　2粗軋成19～40mm后的中間料。粗軋過程通

50、常伴隨立輥和道次間的除鱗操作。</p><p>　　3將中間料從粗軋機運至安裝在精軋機前的飛剪處。飛剪用來剪切料頭和料尾。</p><p>　　4中間料在進精軋機組前的除鱗。</p><p>　　5精軋至所要求的厚度。機架間可能進行除鱗，有時也可能進行帶鋼冷卻。</p><p>　　6軋材在輸出輥道上的空冷和水冷。</p>&l

51、t;p><b>　　7軋材的卷取。</b></p><p>　　在軋制工藝過程中，軋件向其周圍物質進行各種熱傳遞。一些損失的熱量由軋件變形所產(chǎn)生的熱予以彌補。</p><p>　　熱帶軋制過程中，軋件溫度降低和升高的主要因素通?？梢詤^(qū)分如下：</p><p>　　1熱輻射引起的溫降。</p><p>　　2熱對流引

52、起的溫降。</p><p><b>　　3水冷引起的溫降。</b></p><p>　　4向工作輥和輥道熱傳遞導引起的溫降。</p><p>　　5力學加工和摩擦引起的溫升。</p><p>　　2 關于這些因素的分析簡述如下。</p><p>　　2.1 熱輻射引起的溫降</p>

53、<p>　　采用兩種方法進行熱輻射引起的溫降公式的推導。</p><p>　　第一種方法忽略了材料內部的溫度提督，利用斯蒂芬-玻爾茲曼定律計算輻射到環(huán)境中的熱量為：</p><p><b>　　q=S</b></p><p>　　式中 —輻射體的表面積，m2；</p><p>　　q—從物體輻射的熱量，J

54、；</p><p>　　S—斯蒂芬-玻爾茲曼常數(shù)；</p><p>　　T—軋件在t時刻的溫度，K;</p><p>　　Ta—環(huán)境溫度，K；</p><p><b>　　T—時間，s；</b></p><p><b>　　—輻射系數(shù)。</b></p><

55、;p>　　物體損失的熱量由下式給定：</p><p><b>　　q=</b></p><p>　　式中 c—軋件質量熱容，J/（kg·K）；</p><p>　　Vr—輻射體的體積，m3</p><p>　　—軋件的密度，kg/m3。</p><p>　　考慮到熱平衡條件q

56、=q及式1-1和式1-2，可以計算出溫降速度ar：</p><p><b>　　ar=</b></p><p>　　通常假設Ta<T，并簡化某些方程以達到協(xié)調形式，得出輻射溫度差速度公式，總結見表1-1所示。在推導這些公式時，未考慮溫度對參數(shù)S、、及c的影響。不過實際上這些常數(shù)隨溫度的變化可能都是很大的，所以，式1-3的最終形式將取決于這些常熟選擇的平均值。&l

57、t;/p><p>　　輻射時間tr內的溫降可以通過對微分方程幾分進行計算：</p><p><b>　　=</b></p><p>　　第二種計算輻射引起溫降的方法考慮到沿材料厚度方向上的熱傳遞。若z是物體內部至其表面的距離，則從傅里葉公式可得：</p><p>　　式中 a—軋件的熱擴散率，m2/s。</p>

58、<p>　　微分方程1-5可以利用有限差分法進行數(shù)值求解。</p><p>　　這些計算的目的是要建立一個影響軋制過程軋件平均溫度T和可測量的軋件表面溫度T之間的關系。</p><p>　　2.2 熱對流引起的溫降</p><p>　　熱帶軋制時的對流傳熱與軋件周圍空氣的運動有關。這種運動不斷地帶入新的空氣粒子與軋件接觸。取決于該內部運動是強制的，還是

59、自然的，將熱傳遞區(qū)分為強制對流和自然對流。在熱帶軋制中通常出現(xiàn)后一種情形。</p><p>　　在計算對流引起溫降時的一個重要方面是確定傳熱系數(shù)。該系數(shù)取決于材料溫度、環(huán)境溫度、材料質量熱融合密度以及空氣流的動態(tài)粘度及其特性，即自然、強制層流或紊流等情況。對于此關系所得出的數(shù)學描述有很大爭議，實際計算不宜采用。部分研究人員一致認為，對流引起的溫降應當表示為輻射引起溫降的莫以分數(shù)：</p><p

60、><b>　　=（）</b></p><p>　　這里，是對流和輻射引起溫降間的比率，根據(jù)不同的研究結果，其值在0.01～0.22之間變化。</p><p>　　2.3 水冷引起溫降</p><p>　　若假定在軋件向冷卻水傳熱石傳導起著重要作用，就可以計算出水冷引起的溫降。因此，當冷卻沿軋件款度方向連續(xù)地接觸其一側表面時，通過軋件表面所

61、傳遞的熱量就可以用公式表示為：</p><p>　　式中 k—表層導熱系數(shù)，W/（m·K）；</p><p>　　—通過軋件外表面所傳遞的熱量，J；</p><p>　　B—冷卻水接觸長度，m；</p><p><b>　　—軋件寬度，m；</b></p><p>　　Tw—冷卻水

62、溫度，K；</p><p>　　Tw—冷卻水接觸時間，s。</p><p>　　由軋件釋放的熱量由下式給定：</p><p>　　式中 V—冷卻水所冷卻的軋件體積，m3；</p><p>　　—水冷引起的溫降，K。</p><p>　　根據(jù)熱平衡條件 ，，式1-7和式1-8，并考慮到：</p>&l

63、t;p><b>　　tw=</b></p><p>　　式中 v—軋件速度，m/s。</p><p><b>　　和另一條件：</b></p><p>　　我們得到水冷引起的溫降為：</p><p><b>　　=</b></p><p>　

64、　冷卻水所吸收的熱量可以表示為：</p><p><b>　　=</b></p><p>　　式中 —水的密度，kg/m3；</p><p>　　—水的質量熱容，J/（kg·K）；</p><p>　　Vw—水的吸熱體積，m3；</p><p><b>　　—水的溫升，K

65、。</b></p><p>　　根據(jù)熱平衡條件=，式1-8、式1-11和式1-12，并考慮到：</p><p>　　式中 d—帶鋼單位寬度上的水流量，m3/（m·s）。</p><p>　　我們得到下列冷卻水溫升公式：</p><p><b>　　=</b></p><p&

66、gt;　　式1-11并沒有明確地給出溫降與冷卻水流速和壓力的關系。然而，冷卻水的流速和壓力卻大大地影響著隔開軋件于冷水的表面成的導熱系數(shù)k。事實上，表面層中包含有充當屏障作用的氧化鐵皮和沸騰水。隨著冷卻水流速和壓力的提高，該屏障作用將在很大程度上被削弱。</p><p>　　2.4 因工作輥熱傳導引起的溫降</p><p>　　如果假設兩個初始穩(wěn)定溫度分別為T和Tr的物體相互擠壓，并假設平

67、面的界面處</p><p>　　在又有氧化層的阻力，則可以計算出因工作輥熱傳導引起的溫降。</p><p>　　在作出上述這些假設之后，則可以用以下的熱平衡方程進行過程的描述。根據(jù)沙科的研究，通過鋼板的兩個最晚層的總熱量可以根據(jù)下式計算：</p><p>　　式中 Ac—軋件和工作輥的接觸面積，m2；</p><p>　　K—軋件氧化成

68、的導熱系數(shù)，W/（m·K）；</p><p>　　—由于熱傳遞工作輥所獲的熱量或軋件所失去的熱量，J；</p><p>　　Tr—軋輥溫度，K；</p><p>　　A—軋件的熱擴散率，m2/s。</p><p>　　輥縫處軋件損失的熱量由下式給定：</p><p>　　式中 —軋件與工作輥接觸而產(chǎn)生的

69、溫降，K。</p><p>　　根據(jù)熱平衡條件=，式1-15和式1-16，并考慮到：</p><p><b>　　及 </b></p><p>　　式中 R—軋輥半徑，m；</p><p>　　—軋件平均厚度，m。</p><p>　　我們得出下列因工作輥熱傳導引起的溫降公式：&l