Numerical simulation of water hammer in low pressurized pipe: comparison of SimHydraulics and Lax-Wendroff method with experiment

Himr, Daniel

doi:10.1051/epjconf/20134501037

Cited by 9 publications

(8 citation statements)

References 6 publications

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“…In this study, the model is investigated with and without convection flow to determine its effect. Lax−Wendroff theorem, 34 which is a nonlinear equation with second-order accuracy in both space and time, was applied for the advective term in the model with convection flow. Meanwhile, in the model without convection flow, the region where only molecular diffusion occurs (1 mm in front of the pore inlet) was included because biomolecules are quickly consumed near the membrane inlet so that concentration gradients are formed.…”

Section: ■ Experimental Sectionmentioning

confidence: 99%

Numerical Modeling for Sensitive and Rapid Molecular Detection by Membrane-Based Immunosensors

et al. 2021

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Rapid, simple, and sensitive point-of-care testing (POCT) has attracted attention in recent years due to its excellent potential for early disease diagnosis and health monitoring. The flow-through biosensor design is a candidate for POCT that utilizes the small-sized pores of a porous membrane as a recognition space where it emits a signal comparable to that of a conventional enzyme-linked immunosorbent assay within 35 min of detection time. In this paper, we present a numerical model for this immunosensing technology to systematically design an improved recognition system. The model considers mass transfer into the pore (convection and diffusion), the kinetics between the immobilized receptor and the target molecule, and the flow conditions, successfully leading to a bottleneck step (capture of secondary antibody) in sandwich-type detection. Our simulation results also show that this problem can be solved by adopting both appropriate receptors and analytical conditions. Eventually, the requirements to achieve the sensitivity required for POCT were fulfilled, which will allow for further development of immunosensing devices for disease detection.

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Section: ■ Experimental Sectionmentioning

confidence: 99%

Numerical Modeling for Sensitive and Rapid Molecular Detection by Membrane-Based Immunosensors

et al. 2021

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“…This issue is quite complex and a large number of papers have already been published on this topic, e.g. [1], [2], [3], [4], [5], [6], [7].…”

Section: Introductionmentioning

confidence: 99%

The Possibilities of Dynamic Phenomena Calculation in the Penstock of Hydropower Plant via Different Methods

et al. 2022

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When designing a hydropower plant with a long pressure penstock, special attention must be paid to the pressure conditions in the penstock, especially during emergency flow shutdown. In this paper, the main principles of the calculation of static pressure rise in the pressure pipeline during rapid flow shutdown are presented. The results obtained by analytical methods (calculation of direct and indirect water hammer) and numerical methods (mathematical modelling in Matlab software environment) are compared on specific examples. The influence of some input parameters of the numerical model on the results of the numerical calculation is analysed separately.

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“…As a conventional numerical method, the Lax-Wendroff Method (LWM) was widely used in computational fluid dynamics (CFD) [32]. However, only a few studies have briefly reported LWM in a water hammer simulation [12,33,34], without considering the convective acceleration terms, and it has hardly been applied in water hammer practices. Considering the real working conditions of water supply systems, it is more important to improve the accuracy of predictions on a water hammer in a pipeline with air content inside.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Simulation of Water Hammer in Gravitational Pipe Flow with Continuous Air Entrainment

Zhang

Wan

Shi

2018

Water

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Water hammer is an undesired hydraulic shock phenomenon in water supply pipe systems. It is very important to simulate water hammer for preventing the hazard of over pressure. In order to predict the transient pressure caused by a valve closing in a gravitational pipe with continuous air entrainment, a numerical model based on the Lax-Wendroff format is established, and the matched boundary model is provided. Compared with the traditional methods, this study provides another access by considering the influence of the pipe flow velocity on the wave propagation to simulate transient processes. A corresponding experiment is conducted to optimize the numerical model. Based on the experimental result, an additional friction function is proposed to evaluate the influence of the air content on the attenuation. The result shows that the energy dissipation of the shock waves may be underestimated in air-water mixture flow using the common steady friction. By introducing the additional friction function, the improved model can more accurately simulate the attenuation of the water hammer in the gravitational pipe with continuous air entrainment. As there are plenty of practical water supply systems running with air content, the improved Lax-Wendroff Method (LWM) is valued in accurately predicting water hammer processes especially in those conditions.

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Numerical simulation of water hammer in low pressurized pipe: comparison of SimHydraulics and Lax-Wendroff method with experiment

Cited by 9 publications

References 6 publications

Numerical Modeling for Sensitive and Rapid Molecular Detection by Membrane-Based Immunosensors

Numerical Modeling for Sensitive and Rapid Molecular Detection by Membrane-Based Immunosensors

The Possibilities of Dynamic Phenomena Calculation in the Penstock of Hydropower Plant via Different Methods

Experimental and Numerical Simulation of Water Hammer in Gravitational Pipe Flow with Continuous Air Entrainment

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