Mathematical modeling and computer simulation of transient flow in centrifuge cascade pipe network with optimizing techniques

Malik, Mukhtar; Afzal, Muhammad Shekaib; Tariq, G.F.; Ahmed, Naseer

doi:10.1016/s0898-1221(98)00141-2

Cited by 13 publications

(9 citation statements)

References 4 publications

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“…This approach is widely used in hydraulic problem solving. Le Coq et al (1985), Malik et al (1998) and Todini (2on) extended this approach to the problem of a water distribution network and tested it with some very simple test cases, although fhe approach in Todini (2on) has not yet been directly implemented into the EPANET software, and the numerical problems relating fo fhe correct boundary conditions of fhe tanks (the maximum and minimum levels allowed) still have fo be properly faced. This last point is particularly crucial because, as shown below, the correct representation of the boundary conditions can greatly affect the simulation results.…”

Section: Allmentioning

confidence: 99%

The extension of EPANET source code to simulate unsteady flow in water distribution networks with variable head tanks

Avesani

Righetti

et al. 2012

Journal of Hydroinformatics

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This paper describes the modifications applied to EPANET, a public-domain water distribution system modelling software package, that does not correctly compute the hydraulics of a water distribution network (WDN) with variable tank heads in (slow) unsteady flow conditions. Firstly the methodology adopted to extend the Global Gradient Algorithm (GGA) implemented in the original EPANET source code to the Extended Period Simulation-GGA (EPS-GGA) is described. Then the convergence and stability conditions of the theta method, used for the discretisation in time of the set of differential equations describing the hydraulic behaviour of a WDN, are discussed. The reasons for EPS-GGA numerical stability are demonstrated and a fully implicit discretisation of differential equations (i.e.

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Section: Allmentioning

confidence: 99%

The extension of EPANET source code to simulate unsteady flow in water distribution networks with variable head tanks

Avesani

Righetti

et al. 2012

Journal of Hydroinformatics

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“…The one-dimensional flow model in pipes proposed by Malik et al [19] is used here. Continuity equation for the cracking gas in the tubular reactor is…”

Section: Flow Model Equationsmentioning

confidence: 99%

“…Thus, partial derivatives in Equations (1) and (3) are replaced by Equations (1) and (3) after cross differencing [19] and rearranging reduce to…”

Section: Flow Model Equationsmentioning

confidence: 99%

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Fluid dynamic numerical simulation coupled with heat transfer and reaction in the tubular reactor of industrial cracking furnaces

Qiu

Chen

et al. 2009

Numerical Methods in Fluids

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SUMMARYThe thermal cracking furnace is the heart of the ethylene production process in a petrochemical plant. This paper presents a comprehensive mathematical model containing equations for mass, momentum and heat transfer combined with Kumar molecular kinetic model to describe dynamic behaviors of fluid flow, heat transfer and reaction in the tubular reactor of thermal cracking furnaces. The 'flow-reaction' decomposition strategy is adopted to solve the complex model for implementing the fluid dynamic simulation coupled with heat transfer and reaction in the tubular reactor by a conventional procedure. The proposed mathematical model and the decomposition algorithm are successfully applied to the fluid dynamic simulation in the tubular reactor of a millisecond industrial cracking furnace. The results of dynamic simulation reveal the various transient behaviors of fluid flow, temperature change and species content variation in the tubular reactor under the step disturbance of inlet feedrate. Finally, the performance of the decomposition algorithm is also investigated.

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“…Usually, it can be used as a suspension separation for liquid-solid and liquid-liquid-solid, such as separation of lubricants, clarification of juice, extraction of vaccine dextrose, insulin, antibiotics, vitamin and recovery of solvent used for dry cleaning. Many theoretical modeling and simulation methods have been reported to characterize the static and dynamic performance of the centrifugal devices [1].…”

Section: Introductionmentioning

confidence: 99%

Novel design and fabrication of a microcentrifuge for biomedical and biochemical applications

2003

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In this paper, modeling and simulation of a novel micro-centrifuge for biomedical and biochemical applications is described. The micro-centrifuge that we designed can work not only as a shaker but also as a detector of cell growth, which has great potential applications in bioanalysis. The initial design contains four channels for mixing or collecting of samples by centrifugal force. The rotor, the key component of this device, is actuated using electrostatic force. There are four electrodes on the substrate to actuate the micro-centrifuge rotation around the X-axis (lateral in plane) and the Y-axis (vertical in plane) respectively, and eight pairs of comb drives are used to actuate the micro-centrifuge rotation around the Z-axis (perpendicular to the XY plane). The multiple axis actuation design makes it very flexible to control the micro-centrifuge. Because of its small feature size, the cost of the reagent used for the micro-centrifuge will be greatly reduced. An array of micro-centrifuges will be designed to achieve a fast cycling time. A Finite Element Analysis (FEA) has been completed to analyze the static and dynamic performance of the micro-centrifuge, such as the natural frequencies, tilt angle, and driving voltage. A novel fabrication process using SOI technology has been proposed which is now being developed.

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Mathematical modeling and computer simulation of transient flow in centrifuge cascade pipe network with optimizing techniques

Cited by 13 publications

References 4 publications

The extension of EPANET source code to simulate unsteady flow in water distribution networks with variable head tanks

The extension of EPANET source code to simulate unsteady flow in water distribution networks with variable head tanks

Fluid dynamic numerical simulation coupled with heat transfer and reaction in the tubular reactor of industrial cracking furnaces

Novel design and fabrication of a microcentrifuge for biomedical and biochemical applications

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