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Particle simulation and flow sequence on drainage of liquid particles

The emptying efficiency/depletion ratio firstly proposed by Hanin (1999) [7] has proven analytically that tanks with cross-sectional area expressed in the form of a higher-order polynomial of the liquid head (denoted as higher-order tank in this paper) are effective in reducing the efflux time. In t...

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Main Authors:	Ng K.C., Ng Y.L., Lam W.H.
Other Authors:	55310814500
Format:	Article
Published:	2023
Subjects:	Computational fluid dynamics (CFD) Torricelli's law Efflux time Moving particle semi-implicit (MPS) method Particle method Computational fluid dynamics Lagrange multipliers Liquids Discharge coefficients Higher-order polynomials Lagrangian particle method Lagrangian particles Moving particle semiimplicit method Particle methods Particle simulations Water tanks
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id	my.uniten.dspace-30036
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spelling	my.uniten.dspace-300362023-12-29T15:44:07Z Particle simulation and flow sequence on drainage of liquid particles Ng K.C. Ng Y.L. Lam W.H. 55310814500 55812479000 23028104400 Computational fluid dynamics (CFD) Torricelli's law Efflux time Moving particle semi-implicit (MPS) method Particle method Computational fluid dynamics Lagrange multipliers Liquids Discharge coefficients Efflux time Higher-order polynomials Lagrangian particle method Lagrangian particles Moving particle semiimplicit method Particle methods Particle simulations Water tanks The emptying efficiency/depletion ratio firstly proposed by Hanin (1999) [7] has proven analytically that tanks with cross-sectional area expressed in the form of a higher-order polynomial of the liquid head (denoted as higher-order tank in this paper) are effective in reducing the efflux time. In this study, a Lagrangian particle method (moving particle semi-implicit (MPS) method) is used to simulate the draining process of water particles in tanks of various geometries (n-order tank), mainly to improve the physical understanding on why higher-order tanks are more effective in draining water particles. Analytically, it is shown that the reduction in efflux time is associated with the decrease of J-factor introduced in this paper. It can be proven that there exists a theoretical minimum of the J-factor (hence the efflux time) as the order (n) approaches infinity. In cases where the deformation of the free surface is mild while draining, the predicted time evolution of the water head agrees quite well with that of Torricelli's law. Generally, the simulated averaged discharge coefficient increases with the order of the shape function used to describe the cross-sectional area of the tank, which may explain the effectiveness of higher-order tanks. From the Lagrangian particle simulation, the use of the flow sequence technique has revealed that water particles with identical range of drainage time form an inverted U-band (draining layer) in lower-order tanks. Interestingly, as the order (n) increases, flattening of such draining layers is observed and this has led to a reduction of efflux time of water particles especially for those near the side-walls. � 2013 Elsevier Ltd. All rights reserved. Final 2023-12-29T07:44:07Z 2023-12-29T07:44:07Z 2013 Article 10.1016/j.camwa.2013.08.018 2-s2.0-84884593480 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884593480&doi=10.1016%2fj.camwa.2013.08.018&partnerID=40&md5=66c355f69e2bafc61fb8b6b0b49ab9a5 https://irepository.uniten.edu.my/handle/123456789/30036 66 8 1437 1451 All Open Access; Bronze Open Access Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	Computational fluid dynamics (CFD) Torricelli's law Efflux time Moving particle semi-implicit (MPS) method Particle method Computational fluid dynamics Lagrange multipliers Liquids Discharge coefficients Efflux time Higher-order polynomials Lagrangian particle method Lagrangian particles Moving particle semiimplicit method Particle methods Particle simulations Water tanks
spellingShingle	Computational fluid dynamics (CFD) Torricelli's law Efflux time Moving particle semi-implicit (MPS) method Particle method Computational fluid dynamics Lagrange multipliers Liquids Discharge coefficients Efflux time Higher-order polynomials Lagrangian particle method Lagrangian particles Moving particle semiimplicit method Particle methods Particle simulations Water tanks Ng K.C. Ng Y.L. Lam W.H. Particle simulation and flow sequence on drainage of liquid particles
description	The emptying efficiency/depletion ratio firstly proposed by Hanin (1999) [7] has proven analytically that tanks with cross-sectional area expressed in the form of a higher-order polynomial of the liquid head (denoted as higher-order tank in this paper) are effective in reducing the efflux time. In this study, a Lagrangian particle method (moving particle semi-implicit (MPS) method) is used to simulate the draining process of water particles in tanks of various geometries (n-order tank), mainly to improve the physical understanding on why higher-order tanks are more effective in draining water particles. Analytically, it is shown that the reduction in efflux time is associated with the decrease of J-factor introduced in this paper. It can be proven that there exists a theoretical minimum of the J-factor (hence the efflux time) as the order (n) approaches infinity. In cases where the deformation of the free surface is mild while draining, the predicted time evolution of the water head agrees quite well with that of Torricelli's law. Generally, the simulated averaged discharge coefficient increases with the order of the shape function used to describe the cross-sectional area of the tank, which may explain the effectiveness of higher-order tanks. From the Lagrangian particle simulation, the use of the flow sequence technique has revealed that water particles with identical range of drainage time form an inverted U-band (draining layer) in lower-order tanks. Interestingly, as the order (n) increases, flattening of such draining layers is observed and this has led to a reduction of efflux time of water particles especially for those near the side-walls. � 2013 Elsevier Ltd. All rights reserved.
author2	55310814500
author_facet	55310814500 Ng K.C. Ng Y.L. Lam W.H.
format	Article
author	Ng K.C. Ng Y.L. Lam W.H.
author_sort	Ng K.C.
title	Particle simulation and flow sequence on drainage of liquid particles
title_short	Particle simulation and flow sequence on drainage of liquid particles
title_full	Particle simulation and flow sequence on drainage of liquid particles
title_fullStr	Particle simulation and flow sequence on drainage of liquid particles
title_full_unstemmed	Particle simulation and flow sequence on drainage of liquid particles
title_sort	particle simulation and flow sequence on drainage of liquid particles
publishDate	2023
_version_	1806428310167617536
score	13.226497

Particle simulation and flow sequence on drainage of liquid particles

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