Thermofluiddynamics in liquid media during biotechnological processes under high pressure

In bio/ chemical engineering high pressure (HP) processing up to several GPa represents a novel technique to selectively influence (bio–)chemical reactions resulting from temperature and pressure sensitivities differing between the occuring reactions. Therefore, thermofluiddynamical effects leading to inhomogeneous process conditions (pressure, temperature) show an important influence on the process results. To predict and improve mass, momentum and energy transport within the HP vessel and the impact on desired chemical reactions spatiotemporal numerical simulations are a useful tool in process analysis and design. The present contribution deals with mathematical modelling of the enzyme inactivation in HP processing of liquid biotechnological media. For the first time a transport equation for the scalar quantity “enzyme activity” is deduced. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

泄爆诱导的湍流、旋涡和外部爆炸

基于k-ε湍流模型和Eddy-dissipation燃烧模型,采用同位网格SIMPLE算法,对充满甲烷-氧气预混气的带导管柱形泄爆容器向空气中泄爆的情形进行了数值模拟．根据计算结果,分析了泄爆后外流场中可燃云团、火焰和压力的变化过程．结果表明,外部爆炸是因射流火焰点燃高压区中的可燃云团,从而引起的剧烈湍流燃烧所致．同时还讨论了外流场湍流和涡量的分布特征．射流火焰进入外部可燃云团后,湍流主要分布在平均动能梯度较大的区域,而不在火焰阵面上．涡量分布主要受斜压效应的影响,在压力和密度梯度斜交区域,其值较大．     

Determining of Velocity Fields During Real and Experimental Simulated Beer Fermentations by UDV and LDA

Beer fermentation is a very complex process, especially in the fluid-mechanical and the biochemical point of view. Our aim is to optimize the fermentation by flow control, which requires quantities of data. The applied velocity measuring techniques should be non-invasive to ensure that neither the flow nor the fermentation in the green beer gets influenced. Therefore, an Ultrasonic Doppler Velocimetry (UDV) system is used to determine velocity fields with 128 measuring points. It works in the turbid fluid with the existing yeast cells as tracer particles and can be applied easily to the industrial scale. For the validation of CFD-codes and the better understanding of measurements and flow processes, model fluids are used. They can be adapted to real fluid properties like density and viscosity and allow measurements with Laser Doppler Anemometry (LDA). Another advantage over the real fluid is their fixed composition, which leads to negligible natural variations. All experiments are performed in a 270 litre fermenter. Besides the real process, measurements through optical access points and the simulation of fermentations with CO₂ and heat emission are enabled. Eight individually controllable cooling zones are used as thermal actors. Resulting changes in boundary conditions induce temperature gradients and hence allow to control the flow inside the tank. This work deals with the experimental set-up and the results on the one hand and a comparison between real and simulated fermentations on the other hand. Special attention is given to investigations of the multi-phase flow inside the vessel and the effects of changing constraints. The usability of UDV measurement techniques is the key benefit in this case, because it can be used in green beer and model fluids and does not influence the flow. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Deformation and failure of angle-plied organic fiber-reinforced plastics in the 3D stress state

Tubular specimens of organic fiber-reinforced plastic (OFRP) are tested in tension under a high hydrostatic pressure of up to 300 MPa. The specimens are made by winding at an angle of ±60° to the generatrix. The experimental equipment and technique are described. The tests show the insignificant effect of hydrostatic pressure on the elastic properties and the failure mode of the OFRP. The hydrostatic pressure considerably affects the strength properties of the OFRP. The material strength increases almost twofold under a pressure of 300 MPa. The failure strains of the material increase significantly as well.N. E. Bauman Moscow Higher Technical School, Moscow, Russia. Translated from Mekhanika Kompozitnykh Materialov, Vol. 33, No. 5, pp. 592–602, September–October, 1997.     

Numerical solution of turbulent jet flows

The work deals with numerical modelling of several turbulent 3D jet flows: steady impinging jet, steady free jet in cross–flow, synthetic free jet (unsteady) and synthetic impinging jet (unsteady). The numerical method is based on artificial compressibility method with dual time extension for unsteady cases. Space discretization uses cell–centered finite volume method with third order accurate upwind approximation for convection, the time discretisations are implicit. Turbulence is modelled using two–equation eddy viscosity models and by explicit algebraic Reynolds stress model (EARSM by Wallin and Hellsten). The results of first three cases are compared with measurements. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

菱形口射流与超音主流的相互作用

基于在不同射流角(10°, 27.5°, 45°, 90°)和射流总压(0.1 MPa, 0.46 MPa)下,对音速次膨胀射流通过菱形口喷射到马赫5横穿主流的实验及圆形射流器的对比实验,研究了次膨胀射流与超音横穿主流相互作用流场, 实验包括横截面流场的Pitot和锥静压力, 获得横截面马赫数、 压力分布．结果表明近壁面低马赫数半圆区为尾区,尾区附近边界层减薄．脱体激波高度向自由流扩展,激波形状更弯曲, 低马赫数区较大．高射流压力和射流角增加羽流涡度,激波位置较高．90°菱形和圆形喷射器有更强的羽流涡度,但圆形喷射器的低马赫数区较小．前沿渐细的变壁面的斜面物增加羽流涡度,反之,双变壁面的斜面物减弱羽流涡度．通过表面激波形状、中心平面激波及横截面激波模化三维激波形状,激波总压损失用正激波关系式通过马赫数法向分量估计．激波总压损失随射流角和动压比的减小而减小,最大损失发生在90°圆形和菱形喷射器．     

Pressure induced phase transitions in edible fats

Phase change reactions of food ingredients are essential for food technology. We present an optical in situ–technique to examine high pressure induced freezing processes in edible fats up to 450 MPa. The results indicate that the thermodynamic parameters not only influence the solidification kinetics, but also influence the structure of the resulting solid fat. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

高压水射流作用下岩石破碎机理及过程的数值模拟研究

根据连续介质力学和有限元理论,给出了高压水射流破岩系统中流体和岩石的控制方程,并建立了相应的有限元列式．运用连续损伤力学和细观损伤力学理论,建立了适用于水射流破岩全过程分析的岩石损伤模型以及宏细观损伤的耦合模式．数值计算的结果较真实地反映了水射流破岩过程中,岩石的动态响应以及水射流动力学特性的演化过程,普通连续水射流破碎岩石主体所用的时间为毫秒量级,破岩的主要形式是卸载及射流冲击所产生的拉伸破坏,并呈“阶跃式”发展．数值计算与相关试验结果基本吻合,表明该分析方法是可行的,可用来指导高压水射流破岩理论的进一步研究及应用．     

Nonequilibrium jet boundary layer in a polyatomic gas

The two-dimensional nonequilibrium hypersonic free jet boundary layer gas flow in the near wake of a body is studied using a closed system of macroscopic equations obtained (as a thin-layer version) from moment equations of kinetic origin for a polyatomic single-component gas with internal degrees of freedom. (This model is can be used to study flows with strong violations of equilibrium with respect to translational and internal degrees of freedom.) The solution of the problem under study (i.e., the kinetic model of a nonequilibrium homogeneous polyatomic gas flow in a free jet boundary layer) is shown to be related to the known solution of the well-studied simpler problem of a Navier-Stokes free jet boundary layer, and a method based on this relation is proposed for solving the former problem. It is established that the gas flow velocity distribution along the separating streamline in the kinetic problem of a free jet boundary layer coincides with the distribution obtained by solving the Navier-Stokes version of the problem. It is found that allowance for the nonequilibrium nature of the flow with respect to the internal and translational degrees of freedom of a single-component polyatomic gas in a hypersonic free jet boundary layer has no effect on the base pressure and the wake angle.     

Mathematical and physical simulation of the interaction between a gas jet and a liquid free surface

In this work a two phase 3D mathematical model was developed using the volume of fluid (VOF) algorithm, which is able to accurately describe the cavity geometry and size as well as the liquid flow patterns created when a gas jet that impinges on a liquid free surface. These phenomena are commonly found in steelmaking operations such as in the Electric Arc Furnace (EAF) and the Basic Oxygen Furnace (BOF) where oxygen jets impinge on a steel bath and they control heat, momentum and mass transfer. The model was successfully validated with measurements made on a physical model through velocity fields obtained by Particle Image Velocimetry (PIV) and high speed camera images of the cavity. Agreement between model predictions and experimental measurements is excellent in both x-velocity component of the liquid and cavity sizes. The cavity formed in the liquid by the impinging jet depends on a force balance at the free surface where the inertial force of the jet governs this phenomena, while the liquid circulation depends on also the jet inertial force of the jet, but its angle plays an important role, being the lowest angle the best choice to shear the bath and promote stronger circulation and better mixing in the liquid.     

Strength of Unidirectional Composites under High Hydrostatic Pressures

The dependence of the strength properties of two unidirectional fibrous composites on high (up to 500 MPa) hydrostatic pressure has been studied experimentally. Ring specimens of epoxy carbon- and glass-fiber-reinforced plastics were tested in tension using half-disk devices. The tensile strength in the reinforcement direction increased with increase in the pressure up to 300 MPa. However, at a further increase in the pressure, this strength decreased. It was found that the failure mode of unidirectional composites depends on the magnitude of hydrostatic pressure. The failure shapes differed in the location of the failure zone and in the relative extent of longitudinal cracks in the specimens. At atmospheric pressure, the failure zone covered practically the whole volume of the specimens. With increased pressure, the failure zone became localized. At the highest pressures investigated, the failure was accompanied by the formation of a single crack across the reinforcement direction.     

水箱突然起动的水动压力问题

在本文中,应用Lagrange方法讨论水箱突然起动的水动压力问题.求得了自由面形状和作用在水箱壁上的动态压力系数.也证实了在自由面附近,压力系数的奇性仅是对数奇性.     

The semi‐iterative method applied to the hyper‐power iteration

The semi‐iterative method (SIM) is applied to the hyper‐power (HP) iteration, and necessary and sufficient conditions are given for the convergence of the semi‐iterative–hyper‐power (SIM–HP) iteration. The root convergence rate is computed for both the HP and SIM–HP methods, and the quotient convergence rate is given for the HP iteration. Copyright © 2005 John Wiley & Sons, Ltd.     

The use of polyolefins-based hot melts for wood bonding

The shear strength of three-layer birch veneer/polyolefin/birch veneer lap joints has been investigated. It was found that the optimum technological parameters for producing three-layer laminated systems (plywood) at 180°C were a pressure time of 1-3 min (plus 3-min preheating) and pressure of 5-10 MPa. All the systems investigated exhibited relatively high values of shear strength, which were higher than those of the industrially produced plywood based on phenol-formaldehyde glues (3.5-5 MPa). It is shown that the use of interfacial modifiers can increase the shear strength by 50% compared with its initial values. The high shear resistance is explained by the high mechanical adhesion between the hot melts and the wood substrate. After a prolonged moisture influence (70 days at relative air humidity of 80%), all the systems investigated showed a considerable (up to 25%) increase in the shear strength. This can be explained by swelling of birch veneer, which gives rise to additional resistance forces between the hot melt and the substrate.     

Computation of the Free-Surface Shape of an Inviscid Jet Incident on a Porous Wall

We consider the problem of determining the steady free-surfaceshape of an incompressible, inviscid, irrotational jet incidentupon a porous wall. A fixeddomain method based on the Baiocchitransformation is used to determine accurate numerical approximationsto the free surfaces. Results are presented for cases in whichthe jet is incident either perpendicularly or obliquely to thewall. We also consider the effect of gravity on the above cases,and examine the pressure field in the jet.     

Large eddy simulation and PIV experiments of air–water mixing tanks

The simulations and experiments of a turbulent bubbly flow are carried out in a cylindrical mixing vessel. Dynamics of the turbulent bubbly flow is visualized using a novel two-phase particle image velocimetry (PIV) with a combination of back lighting, digital masking and fluorescent tracer particles. Using an advanced technique, Mie’s scattering at surfaces of bubbles is totally filtered out and, henceforth, images of tracer particles and of bubbles are obtained with high quality. In parallel to the comprehensive experimental studies, numerical results are obtained from large eddy simulations (LES) of the two-phase air–water mixer. The impeller-induced flow at the blade tip radius is modeled by using sliding mesh method. The results demonstrate the existence of large structures such as tip-vortex tips, and also some finer details. In addition, the stability of the jet is found to be connected with the fluctuations of the tip vortices whose dynamics are affected by the presence of bubbles. Numerical results are used to interpret the measurement data and to guide the refinement of consistent theoretical analyses. Such information is invaluable in the development of advanced theories capable of describing bubbly flows in the presence of complex liquid flow. This detailed information is of real significance in facilitating the design and scale-up of practical stirred tanks.     

Control of two-dimensional turbulent wall jet on a coanda surface

The Coanda effect that is the tendency of a fluid jet to stay attached to an adjacent curved surface that is very well shaped has been employed to improve the performance of various devices. The main objective of this paper is to investigate ways of keeping the flow attached to a larger length of a Coanda surface. There are considered two possibilities: one passive, which uses a slot that connects the low pressure and high pressure points on the Coanda surface and an active one, based on the principle of synthetic jet, created through an orifice located near the point of detachment of the jet. Reynolds averaged Navier-Stokes simulations (RANS) with shear stress transport k-ω (SST model) of Menter have been used to compute the two-dimensional turbulent wall jet. The numerical results are presented for the two methods considered. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

An assessment of turbulence models applied to the simulation of a two-dimensional submerged jet

This paper is concerned with the investigation of the performance of different turbulence models in the numerical prediction of transient flow caused by a confined submerged jet. Several widely used models, i.e., the standard k–ε, RNG k–ε, low Reynolds number k–ε models and the differential Reynolds stress model, as included in CFD codes, were compared with each other for a two-dimensional, incompressible, turbulent jet flow and with reported experimental data. A flapping oscillation was predicted regardless of the model used. A chosen Strouhal (St) number definition brought the fundamental frequencies from both the experiments and computations into close proximity. However, different turbulence models have exhibited quite different behaviours in terms of the frequency and regularity of the oscillation and in terms of the scale and duration of the vortices generated. All versions of the k–ε model yielded regular oscillations, which agree with experimental observations. On the other hand, the Reynolds stress (RS) model produced a complex pattern but a slower dissipation of vortices. In addition, some aspects of gridding and inflow representation are also discussed.     

Simulation and experiment on standoff distance affecting gas flow in laser cutting

A three-dimensional axial symmetrical model of laser cutting is established by adopting N–S equation and RNG k–ε onflow model in the paper, and numerical simulation is put up to analyze the flow field of shield gas in cutting slot. The investigation reveals the law about how standoff distance affects the dynamic characteristic of gas jet in cutting process, and the distribution of pressure and velocity of gas jet with different standoff distances are shown in the study. Two typical subsonic nozzles are designed for the laser cutting experiment. At the end of the paper experimental results are compared with the numerical simulation results.