Gas residence time distribution in multistage fluidised beds

The residence time distribution of the gas in multistage fluidised beds is studied, using Helium as tracer, for different conditions of the solids concentration, the number of stages and the height-to-diameter ratio of the stage. The results are compared with that of batch fluidisation with and without baffles and it is found that continuous fluidisation gives better flow characteristics of the gas and possesses a wider range of operation than batch fluidisation.     

Onset velocity of circulating fluidization and particle residence time distribution:A CFD-DEM study

Until now,the onset velocity of circulating fluidization in liquid-solid fluidized beds has been defined by the turning point of the time required to empty a bed of particles as a function of the superficial liquid velocity,and is reported to be only dependent on the liquid and particle properties.This study presents a new approach to calculate the onset velocity using CFD-DEM simulation of the particle residence time distribution(RTD).The onset velocity is identified from the intersection of the fitted lines of the particle mean residence time as a function of superficial liquid velocity.Our results are in reasonable agreement with experimental data.The simulation indicates that the onset velocity is influenced by the density and size of particles and weakly affected by riser height and diameter.A power-law function is proposed to correlate the mean particle residence time with the superficial liquid velocity.The collisional parameters have a minor effect on the mean residence time of particles and the onset velocity,but influence the particle RTD,showing some humps and trailing.The particle RTD is found to be related to the particle trajectories,which may indicate the complex flow structure and underlying mechanisms of the particle RTD.     

The residence time distribution of solid and liquid in multistage bubble columns in the cocurrent flow of gas,liquid and suspended solid

Multiphase flow in a multistage bubble column reaction is investigated experimentally. Within the range of parameters studied, it is possible to neglect the influence of plate geometry and liquid throughput on the liquid hold-up. Additionally, the distance between plates and solid concentration had negligible effect on the liquid hold-up.     

时序控制预裂爆破参数优化及应用

针对白鹤滩水电站地下厂房的爆破开挖,为降低爆破对岩体的损伤,采用数值模拟与现场试验研究小孔径时序控制预裂爆破中,后爆孔孔间延期时间及后爆孔孔距对时序控制预裂爆破成缝的影响,从而获取合理的延期时间和最佳的后爆孔孔距。研究结果表明,孔径为42mm的时序控制预裂爆破,先爆孔孔距为35cm时,合理的起爆延期时间为75~100μs;综合考虑炸药爆炸能量利用率和成缝效果,最佳的后爆孔孔距为70cm。科学地采用时序控制预裂爆破不仅可以减小钻孔工作量与炸药用量,还能降低对岩体的损伤,可为地下厂房爆破开挖安全、高效的进行提供一条有效的途径。     

Multi-scale numerical simulation of fluidized beds: Model applicability assessment

In the past few decades, multi-scale numerical methods have been developed to model dense gas-solid flow in fluidized beds with different resolutions, accuracies, and efficiencies. However, ambiguity needs to be clarified in the multi-scale numerical simulation of fluidized beds: (i) the selection of the sub-models, parameters, and numerical resolution; (ii) the multivariate coupling of operating conditions, bed configurations, polydispersity, and additional forces. Accordingly, a state-of-the-art review is performed to assess the applicability of multi-scale numerical methods in predicting dense gas-solid flow in fluidized beds at specific fluidization regimes (e.g., bubbling fluidization region, fast fluidization regime), with a focus on the inter-particle collision models, inter-phase interaction models, collision parameters, and polydispersity effect. A mutual restriction exists between resolution and efficiency. Higher-resolution methods need more computational resources and thus are suitable for smaller-scale simulations to provide a database for closure development. Lower-resolution methods require fewer computational resources and thus underpin large-scale simulations to explore macro-scale phenomena. Model validations need to be further conducted under multiple flow conditions and comprehensive metrics (e.g., velocity profiles at different heights, bubbles, or cluster characteristics) for further improvement of the applicability of each numerical method.     

Multiscale cumulative residual distribution entropy and its applications on heart rate time series

Nonlinear Dynamics - Distribution entropy has been proved to reveal stability for short time series and to distinguish different classes of series by complexity. However, there still exists some...     

Insights on the continuous representations of piecewise-smooth nonlinear systems: limits of applicability and effectiveness

Nonlinear Dynamics - It is known that three-parameter representations of spatial rotation suffer from kinematic singularities. Euler parameters (unit quaternions) are a four-parameter solution for...     

Development and assessment of an intrusive polynomial chaos expansion-based continuous adjoint method for shape optimization under uncertainties

This article contributes to the development of methods for shape optimization under uncertainties, associated with the flow conditions, based on intrusive Polynomial Chaos Expansion (iPCE) and continuous adjoint. The iPCE to the Navier–Stokes equations for laminar flows of incompressible fluids is developed to compute statistical moments of the Quantity of Interest which are, then, compared with those obtained through the Monte Carlo method. The optimization is carried out using a continuous adjoint-enabled, gradient-based loop. Two different formulations for the continuous adjoint to the iPCE PDEs are derived, programmed, and verified. Intrusive PCE methods for the computation of the statistical moments require mathematical development, derivation of a new system of governing equations and their numerical solution. The development is presented for a chaos order of two and two uncertain variables and can be used as a guide to those willing to extend this development to a different set of uncertain variables or chaos order. The developed method and software, programmed in OpenFOAM, is applied to two optimization problems pertaining to the flow around isolated airfoils with uncertain farfield conditions.     

The effect of dynamical self-orientation and its applicability for identification of natural frequencies

The effect of dynamical self-orientation and its applicability for the identification of natural frequencies of the investigated systems is demonstrated in this paper. Unidirectional vibration exciter is fixed to the investigated systems via a pivot link and can rotate around it. It is shown that the exciter changes its orientation in the steady state motion mode when the frequency of excitation sweeps over the fundamental frequency of the examined system. Approximate analytical analysis of the discrete system illustrates the basic principle of the effect of dynamical self-orientation. Numerical analysis of both the discrete and different continuous elastic systems confirms the applicability of the effect of self-orientation for the identification of natural frequencies.     

连续介质分析动力学及其应用

综述了国内和国外学者研究连续介质分析动力学问题的进展,阐明了本文主要论述将Lagrange方程应用于连续介质动力学的问题.论文采用Lagrange-Hamilton体系,分别论述了非保守非线性弹性动力学、不可压缩黏性流体动力学、黏弹性动力学、热弹性动力学、刚--弹耦合动力学和刚--液耦合动力学的Lagrange方程及其应用.论述了应用Lagrange方程建立有限元计算模型的问题. 最后,展望了将Lagrange方程应用于连续介质动力学问题的研究前景.      

Analytical dynamics of continuous medium and its application

综述了国内和国外学者研究连续介质分析动力学问题的进展,阐明了本文主要论述将Lagrange方程应用于连续介质动力学的问题.论文采用Lagrange-Hamilton体系,分别论述了非保守非线性弹性动力学、不可压缩黏性流体动力学、黏弹性动力学、热弹性动力学、刚--弹耦合动力学和刚--液耦合动力学的Lagrange方程及其应用.论述了应用Lagrange方程建立有限元计算模型的问题. 最后,展望了将Lagrange方程应用于连续介质动力学问题的研究前景.     

Modeling of bubble behaviors and size distribution in a slab continuous casting mold

Population balance equations combined with Eulerian–Eulerian two-phase model are employed to predict the polydispersed bubbly flow inside the slab continuous-casting mold. The class method, realized by the MUltiple-SIze- Group (MUSIG) model, alongside with suitable bubble breakage and coalescence kernels is adopted. A two-way momentum transfer mechanism model combines the bubble induced turbulence model and various interfacial forces including drag, lift, virtual mass, wall lubrication, and turbulent dispersion are incorporated in the model. A 1/4th scaled water model of the slab continuous-casting mold was built to measure and investigate the bubble behavior and size distribution. A high speed video system was used to visualize the bubble behavior, and a digital image processing technique was used to measure the mean bubble diameter along the width of the mold. Predictions by previous mono-size model and MUSIG model are compared and validated against experimental data obtained from the water model. Effects of the water flow rate and gas flow rate on the mean bubble size were also investigated. Close agreements by MUSIG model were achieved for the gas volume fraction, liquid flow pattern, bubble breakage and coalescence, and local bubble Sauter mean diameter against observations and measurements of water model experiments.     

Effects of the particle residence time and the spray droplet size on the particle removal efficiencies in a wet scrubber

A new type of scrubbing system equipped with air-atomized spray nozzles, full cone type spray nozzles and the maze shape channels has been developed and the mass transfer mechanism to remove sub-micron particles is analyzed. There is a minimal time duration for the mixture of air and sprayed water droplets should remain in the scrubbing zone for the sub-micron particles and hydrogen fluoride (HF) gas to diffuse and be captured by water droplets. The grown water droplets enter the maze shape channels which have sharp corners and bends to eliminate the water droplets by collision with the walls. As a result of applying the developed design methodology, the sub-micron particle removal efficiencies of the scrubber are found to be above 99% for the particles of 0.5–1 μm, 96% for those of 0.3–0.5 μm, and 86% for those smaller than 0.3 μm in diameter under the optimum operating condition.     

Vaccination control of an epidemic model with time delay and its application to COVID-19

Nonlinear Dynamics - This paper studies an SEIR-type epidemic model with time delay and vaccination control. The vaccination control is applied when the basic reproduction number $$R_0>1$$ ....     

Energy element and its application in the dynamic calculation of continuous medium

The present paper which discusses the problem related to the combination of the finite difference method and the finite element method, describes an energy element calculating mode including the special features of the above two methods.     

An assessment of the poincare scheme for non-linear oscillators and an improvement of its range of validity

The range of validity of the Poincare method is studied by comparison with the exact solution for the anharmonic and Morse oscillators. The exact solutions for these cases are expressible respectively in terms of elliptic and inverse trigonometric functions. The oscillation frequency is taken as the basis for the comparison. It is seen that the Poincare perturbation gives fairly accurate results up to amplitudes that are 20–30 per cent of the maximum value allowed for periodic solutions depending on the form of the potential energy. A new method is presented as a slight variation over the standard Poincare method. This method differs from the former only by a rearrangement of the differential equation through a collocation approximation for the potential. In spite of its simplicity, the method proves to be a better approximation than the standard Poincare method and gives remarkably accurate results for amplitudes up to 60–70 per cent of the maximum value allowed for periodic solutions.     

Propagation of a signal in a liquid with a continuous distribution of bubble sizes

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 4, pp. 54–60, July–August, 1992.