Simulation Analysis of New Energy Vehicle Engine Cooling System Based on K-E Turbulent Flow Mathematical Model

New energy vehicles have better clean and environmental protection characteristics than traditional fuel vehicles.The new energy engine cooling technology is critical in the design of new energy vehicles.This paper used oneand three-way joint simulation methods to simulate the refrigeration system of new energy vehicles.Firstly,a k-εturbulent flow model for the cooling pump flow field is established based on the principle of computational fluid dynamics.Then,the CFD commercial fluid analysis software FLUENT is used to simulate the flow field of the cooling pump under different inlet flow conditions.This paper proposes an optimization scheme for new energy vehicle engines’“boiling”phenomenon under high temperatures and long-time climbing conditions.The simulation results show that changing the radiator’s structure and adjusting the thermostat’s parameters can solve the problem of a“boiling pot.”The optimized new energy vehicle engine can maintain a better operating temperature range.The algorithm model can reference each cryogenic system component hardware selection and control strategy in the new energy vehicle’s engine.

Numerical prediction of inner turbulent flow in conical diffuser by using a new five-point scheme and DLR k-ε turbulence model

The internal turbulent flow in conical diffuser is a very complicated adverse pressure gradient flow.DLR k-ε turbulence model was adopted to study it.The every terms of the Laplace operator in DLR k-ε turbulence model and pressure Poisson equation were discretized by upwind difference scheme.A new full implicit difference scheme of 5-point was constructed by using finite volume method and finite difference method.A large sparse matrix with five diagonals was formed and was stored by three arrays of one dimension in a compressed mode.General iterative methods do not work wel1 with large sparse matrix.With algebraic multigrid method(AMG),linear algebraic system of equations was solved and the precision was set at 10-6.The computation results were compared with the experimental results.The results show that the computation results have a good agreement with the experiment data.The precision of computational results and numerical simulation efficiency are greatly improved.

REVISED k-ε TURBULENCE MODEL IN ELECTROMAGNETIC CONTINUOUS CASTING OF MELT

The research is motivated by the ongoing the electromagnetic continuous casting of molten metal. The revised k-ε model considering the effect of magnetic field application was derived. The specific model equations for the electromagnetic braking were used to calculate the velocity distribution in the continuous casting mold of steel. The results show that the revised k-ε model considering the effect of magnetic field application tends to suppress the production of turbulence and difference between the conventional and revised k-e model is small.

A K-εTWO-EQUATION TURBULENCE MODEL FOR THE SOLID-LIQUID TWO-PHASE FLOWS

A two-equation turbulence model has been dereloped for predicting two-phase flow the two equations describe the conserration of turbulence kinetic energy and dissipation rate of that energy for the incompressible carrier fluid in a two-phase flow The continuity, the momentum, K and εequations are modeled. In this model,the solid-liquid slip veloeites, the particle-particte interactions and the interactions between two phases are considered,The sandy water pipe turbulent flows are sueeessfuly predicted by this turbulince model.

基于Realizable k-ε湍流模型的氨气泄漏数值模拟研究

针对液氨泄漏事故,为了分析不同泄漏点、不同排风条件下氨气的运移规律,以便合理设置应急处置装备、采取有效措施,基于Realizable k-ε的氨气泄漏有限元数值模拟分析方法,计算了液氨泄漏质量,模拟分析了增加排风口、不同液氨泄漏口及不同液氨泄漏量的氨气扩散规律及浓度变化情况。模拟结果表明:对流排风口位置对于泄漏氨气浓度影响较大,泄漏口位置对泄漏氨气扩散影响不显著;氨气泄漏量的增加使得泄漏口垂直方向氨气浓度显著增加。

应用Realizable k-ε湍流模型的振荡水翼绕流数值模拟研究(英文)

采用计算流体力学软件Fluent提供的Realizable k-ε湍流模型计算了振荡水翼的绕流问题,利用有限体积法求解雷诺平均N-S方程,空间离散应用二阶迎风格式,速度—压力耦合格式为SIMPLEC格式;为了验证该数值格式及湍流模型,计算了文献中的算例并做了对比;考察了不同参数对振荡水翼周围流场及受力特征的影响,研究表明在一定水翼攻角条件下,水翼振幅及振荡频率均对振荡水翼的涡结构产生发展及其受力特征具有明显的影响.

Multi-layer analytic solution for k-ωmodel equations via a symmetry approach

Despite being one of the oldest and most widely-used turbulence models in engineering computational fluid dynamics(CFD),the k-ωmodel has not been fully understood theoretically because of its high nonlinearity and complex model parameter setting.Here,a multi-layer analytic expression is postulated for two lengths(stress and kinetic energy lengths),yielding an analytic solution for the k-ωmodel equations in pipe flow.Approximate local balance equations are analyzed to determine the key parameters in the solution,which are shown to be rather close to the empirically-measured values from the numerical solution of the Wilcox k-ωmodel,and hence the analytic construction is fully validated.The results provide clear evidence that the k-ωmodel sets in it a multilayer structure,which is similar to but different,in some insignificant details,from the Navier-Stokes(N-S)turbulence.This finding explains why the k-ωmodel is so popular,especially in computing the near-wall flow.Finally,the analysis is extended to a newlyrefined k-ωmodel called the structural ensemble dynamics(SED)k-ωmodel,showing that the SED k-ωmodel has improved the multi-layer structure in the outer flow but preserved the setting of the k-ωmodel in the inner region.

Heat Transfer and Flow Characteristics Predictions with a Refined k-ε-f_u Turbulent Model in Impinging Jet

Local heat transfer and flow characteristics in a round turbulent impinging jet for Re≈23 000 is predicted numerically with the RANS approach and a k-ε-fu turbulence model. The heat transfer predictions and turbulence parameters are verified against the axis-symmetric free jet impingement measurements and compared with previous other turbulence models, and results show the k-ε-fu model has a good performance in predictions of the local wall heat transfer coefficient, and in agreement with measurements in mean velocity profiles at different radial positions as well. The numerical model is further used to examine the effect of the fully confined impingement jet on the local Nusselt number. Local Nusselt profiles in x and y-centerlines for the target plate over three separation distances are predicted. Compared with the experimental data, the numerical results are accurate in the central domain around the stagnation region and present a consistent structure distribution.

CURVAURE SENSITIVE NONLINEAR TURBULENCE MODEL

By modifying the Rodi assumption to take account of the influence of flow curvature, a new curvature modified algebraic stress model(CMASM) is de- veloped from the second moment closure in the generalized curvilinear coordinate system. And the explicit form of this ASM, a new curvature modified nonlinear k-ε model (CMNKE), is derived in the orthogonal curvilinear coordinate system. This new nonlinear k-ε model is further validated by a numerical simulation of a two- dimensional U-type turnaround duct flow. The results show that the CMNKE can effectively capture the main characteristic of this curvature flow and simulate the damping effect of the shear stress by a convex curvature and the enhancing effect by a concave curvature. So, this model is a rational and effective simplification to the second moment closure.

基于Realizable湍流模型的弯管流动模拟分析

以工程实际中广泛应用的管道为基础,针对管道输送中弯管的薄弱环节,基于Fluent可实现湍流模型,分别采用定常与非定常模拟的方法,建立油水两相流流场的数学模型,研究弯管油水两相流动的速度、压力、流线部分的特性。研究结果表明定常与非定常数值模拟弯管两项流动都具有较好的模拟效果。

基于标准和Realizable k～ε湍流模型的阶梯式溢洪道流的数值模拟

采用Realizable k~ε湍流模型并结合VOF自由面追踪技术对阶梯式溢洪道流进行了数值模拟。计算所得水力特性与文献中的实验观察结论基本一致,验证了该模拟方法在分析阶梯式溢洪道流中的有效性。分析了3个不同阶梯处的竖直表面压强分布情况,对标准和Realizable k~ε这两种湍流模型的预测结果进行了比较,结果表明Realizable k~ε湍流模型在该问题的分析中优于标准k~ε湍流模型。

Three-dimensional turbulent model of heat transfer and fluid flow in GTAW process

A two-equation K-ε turbulent fluid flow model is built to model the heat transfer and fluid flow in gas tungsten arc welding （GTAW） process of stainless steel S US310 and S US316. This model combines the buoyancy force, lorentz force and marangni force as the driving forces of thefluidflow in the weld pool. The material properties are functions of temperature in this model. The simulated results show that the molten metal flowing outward is mainly caused by the marangoni convection, which makes the weld pool become wider and shallower. The comparison of the weld pool shape of SUS310 and SUS316 shows that the slight differences of the value of thermal conductivity mainly attributes to the difference of the weld pool shape and the distinction of heat transport in laminar and turbulent model makes large diversity in the simulated results.

TWO MODIFICATORY K-ε TURBULENCE MODELS FOR TURBULENT SWIRLING FLOWS

Since the standard K-ε model used to predict the strongly swirling flowleads to a large deviation from experimental results, it is necessary to introduce modification tothe standard K-ε model. Based on the algebraic Reynolds stress model and Bradshaw's turbulentlength scale modification conception, we present two modified K-ε models. To investigate thebehaviour of the modified turbulence models, they are used to predict two representative turbulentswirling flows. The computational results, after compared with the experimental data, show that themodified K-ε models substantially improve the prediction of the standard K-ε model for theturbulent swirling flows.

Optimal convergence rates for three-dimensional turbulent flow equations

In this paper, the convergence turbulent flow equations are considered. By rates of solutions to the three-dimensional combining the LP-Lq estimate for the linearized equations and an elaborate energy method, the convergence rates are obtained in various norms for the solution to the equilibrium state in the whole space when the initial perturbation of the equilibrium state is small in the H3-framework. More precisely, the optimal convergence rates of the solutions and their first-order derivatives in the L2-norm are obtained when the LP-norm of the perturbation is bounded for some p ε [1, 6）.

COMPARISON OF K-ε AND K-ω TURBULENCE MODELS FOR SIMULATION OF SHALLOW RECIRCULATING FLOWS IN AN OPEN CHANNEL

The paper describes the comparison of commonly used k-ε and k-ω turbulence models for simulating the recirculating flows behind a sudden expansion in a straight open channel. The depth-average numerical model and the quasi three-dimensional multilayer model are presented respectively. The governing equations are split into three parts in the finite difference approach: advection, dispersion and propagation. Comparison of the results computed with the k-ε and k-ω models shows that the two turbulence models have strong robustness in simulating the reattachment length of the recirculating flows. The computed results are found in good agreement with the measured data.

Numerical simulation and experimental verification of plasma jet development in gas gap switch

Plasma jet triggered gas gap switch has obvious advantages in fast control switch.The development of the plasma in the ambient medium is the key factor affecting the triggering conduction of the gas switch.However,the plasma jet process and its characteristic parameters are complicated and the existing test methods cannot fully characterize its development laws.In this work,a two-dimensional transient fluid calculation model of the plasma jet process of the gas gap switch is established based on the renormalization-group k-εturbulence equation.The results show that the characteristic parameters and morphological evolution of the plasma jet are basically consistent with the experimental results,which verifies the accuracy of the simulation model calculation.The plasma jet is a long strip with an initial velocity of 1.0 km·s-1and develops in both axial and radial directions.The jet velocity fluctuates significantly with axial height.As the plasma jet enters the main gap,the pressure inside the trigger cavity drops by80%,resulting in a rapid drop in the jet velocity.When the plasma jet head interacts with the atmosphere,the two-phase fluid compresses each other,generating a forward-propelled pressure wave.The plasma jet heads flow at high velocity,a negative pressure zone is formed in the middle part of the jet,and the pressure peak decreases gradually with height.As the value of the inlet pressure increases,the characteristic parameters of the plasma jet increase.The entrainment phenomenon is evident,which leads to an increase in the pressure imbalance of the atmospheric gas medium,leading to a significant Coanda effect.Compared with air,the characteristic parameters of a plasma jet in SF6are lower,and the morphological evolution is significantly suppressed.The results of this study can provide some insight into the mechanism of action of the switch jet plasma development process.

A three-dimensional solid-liquid two-phase turbulence model with the effect of vegetation in non-orthogonal curvilinear coordinates

A three-dimensional k-ε-Ap solid-liquid two-phase two-fluid model with the effect of vegetation is solved numerically with a finite-volume method on an adaptive grid to study water-sediment movements and bed evolution in vegetated channels. The additional drag force and additional turbulence generation due to vegetation are added to the relevant control equations for simulating the interaction between vegetation and flow. The flow structure and the bed-topography changes in a 60° partly vegetated channel bend are calculated by the model. The numerical results agree well with the measured ones. Calculated and measured results show that the primary flow velocity reduces much in the vegetation zone and increases in the non-vegetation zone, the secondary flow velocity weakens in the vegetation zone and strengthens in the non-vegetation zone, the sediment movement and bed-topography change also weaken in the vegetation zone and strengthen in the non-vegetation zone, a well-planed vegetation arrangement can improve bank stabilization program, and the k-ε-Ap model can deal with bed-load transport with a more reasonable method than the one-fluid model.

旋流燃烧器数值模拟中Realizable κ-ε和RSM模型的比较

使用RKE模型和RSM模型对某旋流燃烧器进行3D冷态湍流流动模拟计算,并从精度、计算量和收敛性3个方面对两个模型进行了比较。通过与PIV所测得的出口冷态流场对比表明,两个模型均可以较准确地预测燃烧器出口的宏观流场、径向速度和轴向速度分布。相比较而言,RSM模型在预报流场速度峰值的位置、回流区的大小、主流射流宽度等方面比RKE模型更准确一些,在收敛性上RSM模型也占优,而在计算量上,RSM模型略大一些,但对反应流计算,两个模型计算量基本一致。研究表明在模拟旋流燃烧器流场时RSM模型具有一定的优越性,建议优先考虑。

基于非定常计算的对旋风机压力脉动分析

利用Realizablek-ε湍流模型对局部对旋风机进行了全流道非定常湍流计算,预测了前后两级叶轮附近各干涉面上压力脉动的时域分布情况。分析结果表明,前后两级叶轮之间的动-动干涉、前后两级叶轮与其相邻部件之间的动-静干涉以及流动的周期非定常特性是对旋式通风机内部压力脉动产生的主要根源;后级叶轮叶片对叶轮区域压力脉动的影响要远大于前级叶轮。数值模拟结果可以作为对旋风机叶轮部分气动噪声预估的参考依据。

多孔横向紊动射流涡量场的数值分析

应用realizablek-ε紊流模型并结合SIMPLEC算法,分别对单圆孔、双圆孔和四个圆孔的涡量场进行了数值模拟,近壁区流动的处理采用两层模型的壁面函数法,计算得出了不同工况下的剪切层涡、马蹄形涡和反向涡旋对(CVP)。结果表明:在多孔射流中,由于前面射流的遮挡作用,使得后面射流剪切层涡发生的位置升高;在多孔射流中,当多股射流合并为一股新的射流之后,才出现马蹄形涡的雏形,并最终发展成为马蹄形涡;剪切层涡的破裂导致CVP的形成,马蹄形涡和尾迹涡都影响CVP的发展。当多股射流合并为一个新的射流之后,CVP的形状才逐渐发生变化并趋于规则。