Regularization Method to the Parameter Identification of Interfacial Heat Transfer Coefficient and Properties during Casting Solidification

The accurate material physical properties, initial and boundary conditions are indispensable to the numerical simulation in the casting process, and they are related to the simulation accuracy directly. The inverse heat conduction method can be used to identify the mentioned above parameters based on the temperature measurement data. This paper presented a new inverse method according to Tikhonov regularization theory. A regularization functional was established and the regularization parameter was deduced, the Newton-Raphson iteration method was used to solve the equations. One detailed case was solved to identify the thermal conductivity and specific heat of sand mold and interfacial heat transfer coefficient (IHTC) at the meantime. This indicates that the regularization method is very efficient in decreasing the sensitivity to the temperature measurement data, overcoming the ill-posedness of the inverse heat conduction problem (IHCP) and improving the stability and accuracy of the results. As a general inverse method, it can be used to identify not only the material physical properties but also the initial and boundary conditions' parameters.

Determination of interfacial heat transfer coefficient and its application in high pressure die casting process

In this paper,the research progress of the interfacial heat transfer in high pressure die casting(HPDC)is reviewed.Results including determination of the interfacial heat transfer coefficient(IHTC),influence of casting thickness,process parameters and casting alloys on the IHTC are summarized and discussed.A thermal boundary condition model was developed based on the two correlations:(a)IHTC and casting solid fraction and(b)IHTC peak value and initial die surface temperature.The boundary model was then applied during the determination of the temperature field in HPDC and excellent agreement was found.

Measurement of temperature inside die and estimation of interfacial heat transfer coefficient in squeeze casting

As an advanced near-net shape technology, squeeze casting is an excellent method for producing high integrity castings. Numerical simulation is a very effective method to optimize squeeze casting process, and the interfacial heat transfer coefficient(IHTC) is an important boundary condition in numerical simulation. Therefore, the study of the IHTC is of great significance. In the present study, experiments were conducted and a "plate shape" aluminum alloy casting was cast in H13 steel die. In order to obtain accurate temperature readings inside the die, a special temperature sensor units(TSU) was designed. Six 1 mm wide and 1 mm deep grooves were machined in the sensor unit for the placement of the thermocouples whose tips were welded to the end wall. Each groove was machined to terminate at a particular distance(1, 3, and 6 mm) from the front end of the sensor unit. Based on the temperature measurements inside the die, the interfacial heat transfer coefficient(IHTC) at the metal-die interface was determined by applying an inverse approach. The acquired data were processed by a low pass filtering method based on Fast Fourier Transform(FFT). The feature of the IHTC at the metal-die interface was discussed.

Study on interfacial heat transfer coefficient at metal/die interface during high pressure die casting process of AZ91D alloy

The high pressure die casting (HPDC) process is one of the fastest growing and most efficient methods for the production of complex shape castings of magnesium and aluminum alloys in today's manufacturing industry. In this study, a high pressure die casting experiment using AZ91D magnesium alloy was conducted, and the temperature profiles inside the die were measured. By using a computer program based on solving the inverse heat problem, the metal/die interfacial heat transfer coefficient (IHTC) was calculated and studied. The results show that the IHTC between the metal and die increases right after the liquid metal is brought into the cavity by the plunger, and decreases as the solidification process of the liquid metal proceeds until the liquid metal is completely solidified, when the IHTC tends to be stable. The interfacial heat transfer coefficient shows different characteristics under different casting wall thicknesses and varies with the change of solidification behavior.

Interfacial heat-transfer between A356-aluminium alloy and metal mould

The interfacial heat-transfer coefficient at casting/mould interface is a key factor that impacts the simulation accuracy of solidification progress.At present,the simulation result of using available data is comparatively different from the practice.In the current study,the methods of radial heating and electricity measurement under steady-state condition were employed to study the nature of interfacial heat-transfer between A356 Aluminum alloy and metal mould.The experimental results show that the interfacial heat-transfer between A356 Aluminum alloy and the outer mould drops linearly with time while that of A356 aluminum alloy and the inner mould increases with time during cooling.The interfacial heat-transfer coefficient between A356 aluminum alloy and mould is inversely proportional to the electrical resistance.

Regularized determination of interfacial heat transfer coefficient during ZL102 solidification process

The interfacial heat transfer coefficient(IHTC)between the casting and the mould is essential to the numerical simulation as one of boundary conditions.A new inverse method was presented according to the Tikhonov regularization theory.A regularized functional was established and the regularization parameter was deduced.The functional was solved to determine the interfacial heat transfer coefficient by using the sensitivity coefficient and Newton-Raphson iteration method.The temperature measurement experiment was done to ZL102 sand mold casting,and the appropriate mathematical model of the IHTC was established.Moreover, the regularization method was used to determinate the IHTC.The results indicate that the regularization method is very efficient in overcoming the ill-posedness of the inverse heat conduction problem(IHCP),and ensuring the accuracy and stability of the solutions.

Optimal Experiment Design for the Identification of the Interfacial Heat Transfer Coefficient in Sand Casting

The interfacial heat transfer coefficient(IHTC)is one of the main input parameters required by casting simulation software.It plays an important role in the accurate modeling of the solidification process.However,its value is not easily identifiable by means of experimental methods requiring temperature measurements during the solidification process itself.For these reasons,an optimal experiment design was performed in this study to determine the optimal position for the temperature measurement and the optimal thickness of the rectangular cast iron part.This parameter was identified using an inverse technique.In particular,two different algorithms were used:Levenberg Marquard(LM)and Monte Carlo(MC).A numerical model of the solidification process was associated with the optimization algorithm.The temperature was measured at different positions from the mould/metal interface at d=0 mm(mould/metal interface),30 mm,60 mm and 90 mm.the thicknesses of the cast part were:L1=40 mm,60 mm and 80 mm.A comparative study on the IHTC identification was then carried out by varying the initial value of the IHTC between 500 Wm^(-2)K^(-1) and 1050 Wm^(-2)K^(-1).Results showed that the MC algorithm used for estimating the IHTC gives the best results,and the optimal position was at d=30 mm,the position closest to the mould/metal interface,for the lowest thickness L1=40 mm.

Experimental determination of gas holdup and volumetric mass transfer coefficient in a jet bubbling reactor

The hydrodynamics and mass transfer characteristics of a lab-scale jet bubbling reactor(JBR)including the gas holdup,volumetric mass transfer coefficient and specific interfacial area were assessed experimentally investigating the influence of temperature,pH and superficial gas velocity.The reactor diameter and height were 11 and 30 cm,respectively.It was equipped with a single sparger,operating at atmospheric pressure,20 and 40℃,and two pH values of 3 and 6.The height of the liquid was 23 cm,while the superficial gas velocity changed within 0.010-0.040 m·s^(-1)range.Experiments were conducted with pure oxygen as the gas phase and saturated lime solution as the liquid phase.The liquid-side volumetric mass transfer coefficient was determined under unsteady-state oxygen absorption in a saturated lime solution.The gas holdup was calculated based on the liquid height change,while the specific interfacial area was obtained by a physical method based on the bubble size distribution(BSD)in different superficial gas velocities.The results indicated that at the same temperature but different pH,the gas holdup variation was negligible,while the liquid-side volumetric mass transfer coefficient at the pH value of 6 was higher than that at the pH=3.At a constant pH but different temperatures,the gas holdup and the liquid-side volumetric mass transfer coefficients at 40℃were higher than that of the same at 20℃.A reasonable and appropriate estimation of the liquid-side volumetric mass transfer coefficient(kla)in a pilot-scale JBR was provided which can be applied to the design and scale-up of JBRs.

Prediction of mass transfer coefficients in an asymmetric rotating disk contactor using effective diffusivity

Mass transfer characteristics have been investigated in a 113 mm diameter asymmetric rotating disk contactor of the pilot plant scale for two different liquid–liquid systems. The effects of operating parameters including rotor speed and continuous and dispersed phase velocities on the volumetric overall mass transfer coefficients are investigated. The results show that the mass transfer performance is strongly dependent on agitation rate and interfacial tension, but only slightly dependent on phase flow rates. In this study, effective diffusivity is used instead of molecular diffusivity in the Grober equation for estimation of dispersed phase overall mass transfer coefficient.The enhancement factor is determined experimentally and there from an empirical expression is derived for prediction of the enhancement factor as a function of Reynolds number. The predicted results compared to the experimental data show that the proposed correlation can efficiently predict the overall mass transfer coefficients in asymmetric rotating disk contactors.

Spatial interfacial heat transfer and surface characteristics during gravity casting of A356 alloy

As one of the key boundary conditions during casting solidification process, the interfacial heat transfer coefficient (IHTC) affects the temperature variation and distribution. Based on the improved nonlinear estimation method (NEM), thermal measurements near both bottom and lateral metal-mold interfaces throughout A356 gravity casting process were carried out and applied to solving the inverse heat conduction problem (IHCP). Finite element method (FEM) is employed for modeling transient thermal fields implementing a developed NEM interface program to quantify transient IHTCs. It is found that IHTCs at the lateral interface become stable after the volumetric shrinkage of casting while those of the bottom interface reach the steady period once a surface layer has solidified. The stable value of bottom IHTCs is 750 W/(m^2·℃), which is approximately 3 times that at the lateral interface. Further analysis of the interplay between spatial IHTCs and observed surface morphology reveals that spatial heat transfer across casting-mold interfaces is the direct result of different interface evolution during solidification process.

Calculation of activity coefficients for components in ternary Ti alloys and intermetallics as matrix of composites

Based on Kohler’s ternary solution model and Miedema’s model for calculating the formation heat of binary solution, the integral equation was established for calculating the activity coefficients in ternary alloys and intermetallics. The activity coefficients for components in alloy Ti-5Al-2.5Sn, Ti-6Al-4V and intermetallics TiAl, Ti3Al and Ti2AlNb were calculated with the equations. The calculated data coincide well with the experimental ones found in literatures. According to the calculated activity coefficients and activities, it can be predicted that the interfacial reaction in SiC/Ti3Al composite is more severe than that in composites SiC/Ti2AlNb and SiC/TiAl.

Use of axial dispersion model for determination of Sherwood number and mass transfer coefficients in a perforated rotating disc contactor

The mass transfer process in a perforated rotating disk contactor(PRDC) using a toluene-acetone-water system was investigated.The volumetric overall mass transfer coefficients are calculated in a PRDC column.Both mass transfer directions are considered in experiments.The influences of operating variables containing agitation rate,dispersed and continuous phase flow rates and mass transfer in the extraction column are studied.According to obtained results,mass transfer is significantly dependent on agitation rate,while the dispersed and continuous phase flow rates have a minor effect on mass transfer in the extraction column.Furthermore,a novel empirical correlation is developed for prediction of overall continuous phase Sherwood number based on dispersed phase holdup,Reynolds number and mass transfer direction.There has been great agreement between experimental data and predicted values using a proposed correlation for all operating conditions.

Equivalent heat transfer coefficient at casting/Cu mould interface and temperature field simulation

Using the inverse algorithm of heat transfer and the nonlinear estimation method, matching calculated values with measured ones, the interfacial heat transfer coefficient at casting/Cu mould interface was determined.The results show that the interfacial heat transfer coefficient at Al/Cu interface changes in a range of 4.0×10 3 1.0×10 5 W·m -2 ·K -1 and its average value is in a range of 5.0×10 37.0×10 3 W·m -2 ·K -1 .

Characteristics of interfacial reactions between Ti-6Al-4V alloy and ZrO2 ceramic mold

The interfacial reaction between Ti-6Al-4V alloy and ZrO2 ceramic mold with zirconia sol binder was investigated by keeping the 12 g alloy melt in a vacuum induction furnace for 15 s.The microstructures,element distribution and phase constitution of the interface were identified by optical microscopy(OM),scanning electron microscopy(SEM)equipped with energy dispersive spectroscopy(EDS)and X-ray diffraction(XRD).The results show that the whole interface reaction layer can be divided into three regions:metal penetration layer,transition layer,and hardened layer according to the structure morphology,which has the characteristics of severe metal penetration,finer lamellar,and coarse oxygen-richαphase,respectively.The erosion of the alloy melt on the ceramic mold promotes the decomposition of zirconia,which leads to the increase of local Zr concentration,greatly increasing the activity coefficient of Ti,aggravating the occurrence of interfacial reaction.Thus,the interfacial reaction shows the characteristics of chain reaction.When the oxygen released by the dissolution of zirconia exceeds the local solid solubility,it precipitates in the form of bubbles,resulting in blowholes at the interface.The result also indicates that the zirconia mold with zirconia sol binder is not suitable for pouring heavy titanium alloy castings.

铝车轮铸造模具水冷界面换热系数反算求解

铝车轮低压铸造过程中,模具温度场是影响铝液凝固的重要因素。水冷作为铸造模具的主要冷却方式,对模具温度场的影响机理仍不明晰,有待深入研究。本文以铝车轮铸造模具的边模水冷模块为研究对象,设计水冷降温实验并采集水冷过程中的模具温度数据。通过ProCAST及ANSYS分析冷却水流动状态,以实测温度数据为基础进行软件反求解,基于Beck非线性估算法,建立界面换热数值模型。通过对比分析两种界面换热系数求解方式,并正向求解以验证两种求解方式的准确性,以期为铝车轮低压铸造模拟验证提供数据支撑,有望获取冷却水与模具的真实换热系数,并揭示其传热行为和换热机理。

基于非线性超声的电缆硅橡胶界面压力检测方法

电缆附件与本体之间的界面压力对电缆长期稳定运行起决定性作用。针对压力传感器测量法会损坏界面绝缘特性的问题,提出一种基于非线性超声的电缆硅橡胶界面压力无损检测方法。首先对超声波在硅橡胶-交联聚乙烯界面的传播特性进行分析,得到非线性系数与界面压力的关系。然后基于脉冲反射法搭建非线性超声试验平台,以平板硅橡胶和交联聚乙烯为研究对象,对其界面压力进行非线性超声检测。理论与试验结果均表明,随界面压力增大,界面一次回波幅值减小,回波时间减小,非线性系数增加。该结果表明非线性超声可以有效评价电缆硅橡胶复合界面压力状态,为后续电缆附件曲面结构的界面压力检测提供有力支撑。

铜及黄铜与模具钢界面稳态接触换热行为的研究

接触换热系数直接决定金属热加工过程的温度分布,进而影响零件的微观组织及使役性能。本文采用自主开发的稳态接触换热设备和测量系统,系统研究了纯铜及H62黄铜与H13模具钢在接触面温度为200~600℃、压力为1.56~12.56 MPa下的接触换热行为。结果表明,载荷加载的历程对接触换热系数有较大影响,相比于从低载荷加载到目标压力时,从高载荷卸载到同一目标压力测得的接触换热系数更高;在相同加载历程下,接触换热系数随着界面温差的升高而增加,且界面温度高于400℃时接触换热系数增速变快;接触换热系数与压力呈幂指数关系增长,随着压力的增大,接触换热系数增长逐渐变得缓慢;在相同条件下,黄铜/H13传热时的温度梯度更大,导致黄铜/H13的接触换热系数更大。

聚吡咯共轭结构对碳纤维增强树脂基复合材料热循环稳定性能的影响

为解决碳纤维增强树脂基复合材料(CFRPs)存在的碳纤维与基体间界面黏结性较弱和在热循环过程中因热膨胀系数不匹配而产生界面破坏的问题,通过低温聚合得到含有较多共轭结构的聚吡咯(PPy)对预处理后碳纤维(CF)进行表面改性,分别在0、30、60℃下制得碳纤维/聚吡咯复合纤维(PPy/CF),并研究了不同聚合温度下制备的CFRPs的界面结合性能、热膨胀性能和热循环稳定性能。结果表明:PPy/CF-0纤维的表面粗糙度与CF相比增加了2.09倍,这有利于树脂锚定在碳纤维表面,从而提高界面结合性能;并且PPy/CF-0纤维表面的聚吡咯层具有较完善的共轭结构,整体表现为负热膨胀系数,使得复合材料的层间剪切强度和界面剪切强度分别达到了CF的1.56倍和1.70倍;此外还使得CFRPs的热循环稳定性有了较明显的提升,经100次热循环实验后,其剪切强度仍能保持在初始数值的70%以上。

镍基单晶涡轮叶片定向凝固过程温度场数值模拟研究进展

作为先进航空发动机不可缺少的核心部件之一,镍基单晶涡轮叶片(简称单晶叶片)的空心结构尺寸精度、合金元素的分布均匀性和表面及内腔冶金质量等要求极为苛刻。研究发现,定向凝固过程中温度梯度的控制直接影响单晶叶片性能和质量,能否持续获得稳定热流成为定向凝固技术的关键。随着计算机技术的不断进步,数值模拟已经成为单晶叶片定向凝固研究的重要手段之一。首先,对单晶叶片制备技术进行了介绍,分析了定向凝固过程中的传热方式。其次,总结了数值模拟界面换热系数边界条件的优化方法,重点介绍了Beck非线性估算法和有限差分法在界面换热系数求解中的应用,证明了两种方法均可以对铸件/型壳间的界面换热系数进行求解,有效提升了温度场模拟的准确性。最后,对定向凝固过程温度场数值模拟的研究进展进行了追踪,总结归纳出了工艺参数对温度场的影响规律。基于对镍基单晶涡轮叶片定向凝固过程温度场数值模拟研究进展的分析,提出了定向凝固工艺优化方向以及相关技术后续的发展趋势,以促进单晶涡轮叶片的高质量研发。

颗粒级配和表面纹理对饱和砂-钢界面剪切强度的影响

钢桩和钢制吸力基础广泛应用于海洋工程,土体与基础结构界面力学特性决定着其承载能力。通过饱和砂-钢界面排水剪切试验,揭示了颗粒级配、表面纹理和法向边界条件对界面剪切特性的影响规律。研究表明:由于颗粒剪切方式和孔隙水压力消散方式的不同,常法向应力(CNL)下剪应力-位移曲线出现明显的应变软化现象。变法向应力(VNL)下,界面剪切强度随法向应力的增大不断提高。对于光滑和凸起构造,界面摩擦角随不均匀系数C_(u)的增加基本呈线性增长。对于凹槽构造,界面摩擦角随C_(u)的增加而减小。饱和砂-粗糙度钢板界面剪切效能的发挥受水的影响显著,砂与钢板之间水膜的存在减弱了砂颗粒和钢界面的摩擦,使得界面摩擦性能不能完全发挥。