Analysis of Non‐Isothermal Viscous Flow Coalescence at Micro Scale

The non‐isothermal coalescence of two spherical bodies caused by capillary‐induced viscous flow was analyzed. Based on this analysis, a new dimensionless number ( K number) was introduced for defining thermal coalescence regimes. Based on the value of this number, coalescence may or may not be affected by thermal effects in different cases. To make this clearer, the conventional coalescence models of Frenkel‐Eshelby and Pokluda were modified by assuming viscosity as a temperature dependent variable. This was conducted by considering the effects of temperature on the viscosity of the involved material through evaluating different expressions including linear and Reynolds and Williams‐Landel‐Ferry (WLF) equations. The results of the modified models for the bridge growth rate show that temperature changes significantly affect the kinetics of coalescence, particularly when the characteristic times of coalescence and heat conduction are in the same order, i.e., moderate K numbers. This analysis is applicable for diverse situations since viscous flow coalescence occurs in various physical and industrial applications of particles or droplets.     

Exact reliability evaluation of infrastructure networks using graph theory

Reliability analysis of Infrastructure Networks (INs) is gaining recognition in the research literature. However, most of the work on reliability evaluation of INs have focused on simulation analysis and, therefore, unable to calculate the exact reliability. Additionally, these methods lack the capability of achieving a closer adherence to INs. The presented paper aims at filling these gaps by simplifying the process of computing the exact reliability of an IN through the decomposition of the network into a set of series and parallel configuration of its elements. In exemplifying the method, an illustrative example is presented and a brief discussion on the usefulness and limitation of the method is described.     

An Efficient Measure for Quantification of Nonlinearity in Chemical Engineering Processes Based on I/O Steady-State Loci

Nonlinearity is virtually ubiquitous in chemical engineering plants, and assessing the degree of nonlinearity involved in a process is of special interest for process control purposes. In this paper, we introduce a simple nonlinearity measure to quantify the extent of nonlinearity in a dynamic system based on its normalized steady-state input/output loci. Our nonlinearity measure obviates the limitations of previous metrics in terms of computational effort and correct identification of highly nonlinear relationships. The measure is satisfactorily applicable to various I/O relationships—from truly linear to sinusoidal, for instance. In order to illustrate the efficiency of the proposed measure, four numerical examples concerning a double-effect evaporator, a jacketed continuously stirred tank reactor (CSTR) with an irreversible reaction, a CSTR involving van de Vusse reactions, and the Henson–Seborg–Pottmann CSTR are presented.     

Study of transition velocity from bubbling to turbulent fluidisation by recurrence plots analysis on pressure fluctuations

Recurrence plot (RP) and recurrence quantification analysis (RQA) have been used for studying the dynamic behaviour of gas–solid fluidised beds. RQA variables (recurrence rate, determinism, laminarity and entropy) were calculated for the bubbling fluidised bed at different superficial gas velocities (ranging 0.1–1.5 m/s) and aspect ratios (1, 1.5 and 2). Patterns within RP changed with these various conditions, and subsequently RQA parameters changed accordingly. These changes can be potentially useful to study the bed hydrodynamic. It was shown that transition from bubbling to turbulent velocity can be determined by the variation of recurrence rate and entropy. © 2011 Canadian Society for Chemical Engineering     

Detecting Sudden Changes in Fluidization by Wall Vibration

Vibrations of fluidized bed walls reflect the nonlinear characteristics of bed hydrodynamics in gas–solid fluidized beds. Experiments were carried out in a lab-scale, two-dimensional fluidized bed operated at ambient conditions for three particle sizes, various gas velocities, three aspect ratios, and different probe locations. The S-statistic method, which is, in fact, the comparison of attractors of two dynamic signals in the state space, was used to determine de-fluidization condition in the bed. Different scenarios were tested to evaluate whether this method is able to detect changes in the hydrodynamics fluidized bed based on the bed vibrations, including change in the bed mass, particle size, and gas velocity. The results showed that this method is capable of detecting the de-fluidization state in the bed as a result of changes in gas velocity, particle size, and bed mass. However, an important factor is the location of probe, which can dramatically affect the capability of this method for detecting the de-fluidization state.     

Nonlinear dynamics of a gas–solid fluidized bed by the state space analysis

The S-statistic based on the comparison of two reconstructed attractors in the phase space was utilized to study whether two dependent time series (namely, evaluation and reference time series) were originated from the same mechanism or not. Evaluation time series were measured during the bed operation in a gas–solid bubbling fluidized bed and reference time series were generated according to phase randomized surrogate data series from the evaluation series. The results indicated that nonlinearity can be observed where the energy contribution of the macro-structures is more than that of the finer structures. It was found that a minimum in the energy of the finer structures with an increase in velocity corresponds to the transition between macro-structures and finer structures of the bubbling fluidization system. This conclusion can eventually help choose proper control systems and evaluation methods of signals in fluidized beds.     

Effect of electrostatic charge of particles on hydrodynamics of gas-solid fluidized beds

The aim of this work was to investigate effect of electrostatic charge of particles on the fluidization hydrodynamics. Behavior of bubbles in beds of polyethylene particles was studied through analysis of pressure fluctuations in the frequency domain. Fluidized beds of uncharged, pre-charged and bed-charged particles were used in the experiments. Results revealed that in the bed of pre-charged particles, compared to uncharged experiments, particle-particle repulsive force increases the bed voidage and reduces equilibrium bubble size while the transition velocity to turbulent fluidization is decreased. In the case of bed-charged particles, at low gas velocities bubble fraction is greater compare to the other cases due to faster bubble coalescence in the presence of particle-wall attractive electrostatic force. Electrostatic charge of bulk increases by increasing the gas velocity. At high gas velocities, the repulsion force between highly charged particles overcomes the particle-wall effect on bubble formation and reduces the bubble size to less than in uncharged experiments. Accumulation of particles near the wall in the bed od bed-charged particles affects the hydrodynamics in two ways: first it accelerates bubble growth via bubble coalescence at low gas velocities, second it limits the bubble growth and reduces the transition velocity to turbulent regime to a value less than for pre-charged particles.     

Intelligent multi-stakeholder environmental management

In any group decision making, stakeholders have different powers, proficiency and also experiences. These power weights are very difficult to obtain, because group managers avoid revealing the relative powers of the stakeholders to prevent more conflict among them. Therefore, in many studies, the different powers have not been well accounted and then equal power weights have been assigned to each stakeholder. This paper will show that considering the powers is necessary and then it introduces a new intelligent approach to obtain consensus based relative power weights. This method is based on the opinions of the stakeholders on the alternatives. A case study of watershed management is used to illustrate the application of the model to a real decision making problem. A suitable aggregation operator is also used to combine the goodness measures, considering the optimism/pessimism view of the group manager. Results indicate that obtaining the stakeholders’ weights and also considering the preferences of the group manager on the risk are essential parts for soft group decision making process, especially in the environmental management problems.