On dispersion of settling particles from an elevated source in an open-channel flow

Mondal, Kajal Kumar; Mazumder, B. S.

doi:10.1016/j.cam.2005.04.068

Cited by 18 publications

(19 citation statements)

References 18 publications

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“…Numerical results of the SLMM are compared with the numerical results of the finite-difference method [Mondal and Mazumder (2006)] and with the experimental data [Raupach and Legg (1983)]. …”

Section: Mathematical Formulationmentioning

confidence: 99%

“…In the model [Mondal and Mazumder (2006)], a fully developed steady state homogeneous turbulent flow is considered to estimate dispersion of contaminant particles in an open channel flow of depth H. Dispersion phenomenon is governed by the following nondimensional advection-diffusion equation [Mondal and Mazumder (2006)]:…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…In [Mazumder and Bandyopadhyay (2001)], a finite-difference method has been employed for studying the dispersion of the contaminant particles in the turbulent shear flow by using a modified logwake-law and eddy diffusivity [Nezu and Nakagawa (1993)]. Experimental results of the corresponding model and numerical solution by finite difference method have been reported in [Mondal and Mazumder (2006); Raupach and Legg (1983)]. In that paper, both steady and unsteady convection-diffusion PDEs have been solved by finite difference method based on a central difference approximation and a fourpoints upwind scheme.…”

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Estimation of Dispersion in an Open Channel from an Elevated Source Using an Upwind Local Meshless Method

Islam

Singh

Kumar

2017

Int. J. Comput. Methods

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Numerical solution of steady state partial differential equation (PDE) model is proposed using a stabilized local meshless method (SLMM). The PDE model under consideration is used to approximate longitudinal dispersion of suspended particles of turbulent flow moving with both zero and nonzero settling velocities. In the proposed technique, a shape parameter based SLMM is used to calculate effects of mean velocity and variable eddy diffusivity accurately. In the case of zero settling velocity, when particles are injected from a line source located at some height, numerical results confirm the experimental results. Numerical results of the SLMM also confirm numerical results produced by finite difference method (FDM) as well.

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Section: Mathematical Formulationmentioning

confidence: 99%

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 1 more Smart Citation

Estimation of Dispersion in an Open Channel from an Elevated Source Using an Upwind Local Meshless Method

Islam

Singh

Kumar

2017

Int. J. Comput. Methods

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“…Ruggaber (2000) studied the settling behaviour of particle clouds in connection with disposal of dredged materials. Gu and Li (2004), Lin and Wang (2006) and Mondal and Mazumder (2006) reported numerical modelling of particle dispersion and dumping. None of these, however, included the deposition pattern due to coarse sand disposal.…”

Section: Introductionmentioning

confidence: 98%

An experimental study of mounds formed by dumping coarse sediment in channel flow

Bhuiyan

Rajaratnam

Zhu

2010

Journal of Hydraulic Research

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The development of large sediment mounds formed by continuous release of coarse materials in flowing water is reported. Growths of mound height, longitudinal profile and areal extent were examined for three flow conditions. Longitudinal profiles of depositions during the development phase of the mounds were approximately similar, and they can be expressed by an exponential function if scaled with the maximum height and a width parameter. From observations, it appeared that the mound peak shifted gradually towards upstream and followed the outer part of the sediment plume. The heap growth can be expressed as a function of buoyancy flux due to sediment disposal, flow momentum and densimetric particle Froude number. The deposition height increased with normalized time until reaching close to the water surface. The width and area developed faster with normalized time than the height. The deposition area with coarse sediment was characterized by a downstream tail and fin-like extensions on the sides which differed from observations in previous experiments with fine sand.

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“…In §3.1 we describe the transformation from the semi-infinite to a finite domain that has been used in related studies [4,6,7]. In §3.2 we give a simple example that demonstrates how the transformation effects the development of the interior layer, and so the choice of numerical procedure.…”

Section: Introductionmentioning

confidence: 99%

Improved Mathematical and Numerical Modelling of Dispersion of a Solute from a Continuous Source

Madden

Mondal

2011

Lecture Notes in Computational Science and Engineering

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We present a refinement of a model due to Mondal and Mazumder [7] for dispersion of fine particles in an oscillatory turbulent flow. The model is based on the time-dependent advection-diffusion equation posed on a semi-infinite strip, and whose solution represents the concentration of particles over time and down-stream distances.The problem is solved by first mapping to a finite domain and then using a monotone finite difference method on a tensor product, piecewise uniform mesh. The numerical results obtained for the related steady-state problem, and are compared with experimental data.

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On dispersion of settling particles from an elevated source in an open-channel flow

Cited by 18 publications

References 18 publications

Estimation of Dispersion in an Open Channel from an Elevated Source Using an Upwind Local Meshless Method

Estimation of Dispersion in an Open Channel from an Elevated Source Using an Upwind Local Meshless Method

An experimental study of mounds formed by dumping coarse sediment in channel flow

Improved Mathematical and Numerical Modelling of Dispersion of a Solute from a Continuous Source

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