On the solute dispersion in a pipe of annular cross-section with absorption boundary

Mondal, Kajal Kumar; Mazumder, B. S.

doi:10.1002/zamm.200210180

Cited by 21 publications

(11 citation statements)

References 18 publications

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“…The behaviour of dispersion coefficient is completely in agreement with Mondal and Mazumder [20]. Moreover the dispersion coefficient for steady flow, when radius ratio k = 0, is in exact agreement (both qualitatively and quantitatively) with Lau and Ng [14].…”

Section: Resultssupporting

confidence: 76%

Dispersion of reactive species with reversible and irreversible wall reactions

Mazumder

Paul

2011

Heat Mass Transfer

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The longitudinal dispersion of a chemical species released in an oscillatory flow through an annular tube has been studied in presence of two kinds of first order reactions between the species and tube-wall. The species is supposed to undergo kinetic reversible phase exchange with the outer-wall material and irreversible absorption into the wall. Due to the variation of velocity across the tube section, the chemical species may spread out axially along the tube at a much faster rate than that produced by the molecular diffusion. A finite-difference implicit scheme has been adopted to solve the unsteady convection-diffusion equation for all time period based on the Aris method of moments. Axial distributions of mean concentration are determined from the first four central moments using Hermite polynomial representation for the periodic flow with and without non-zero mean flow. The study brings forward the coupled effects of reversible phase exchange and irreversible absorption on dispersion coefficient. Both the reversible and irreversible reactions are found to inhabit the dispersion process at early times, but at developed stage dispersion may be enhanced by the reversible phase exchange, provided the velocity comprises time invariant component. The decrease of peak of the mean concentration distribution with the increase of reaction rate is found irrespective of the nature of reaction.

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Section: Resultssupporting

confidence: 76%

Dispersion of reactive species with reversible and irreversible wall reactions

Mazumder

Paul

2011

Heat Mass Transfer

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“…References for reactive settings are seldom. Motivated by the study of a flow in a catheterized artery with conductive walls, the authors of [31] considered a similar problem in an annular pipe, but for a very simple model of reaction, i.e. an instantaneous linear equilibrium.…”

Section: Enhanced and Anomalous Diffusionmentioning

confidence: 99%

“…A method, e.g. used in [31], consists in observing eventual asymmetry in the concentrations profiles. Some of them, computed during the anomalous period, are presented in Figure 9.…”

Section: Enhanced and Anomalous Diffusionmentioning

confidence: 99%

Effective models for reactive flow under a dominant Péclet number and order one Damköhler number: Numerical simulations

Choquet

Rosier

2014

Nonlinear Analysis: Real World Applications

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To cite this version:Catherine Choquet, Carole Rosier. Effective models for reactive flow under a dominant Peclet number and order one AbstractThe paper is devoted to the longitudinal dispersion of a soluble substance released in a steady laminar flow through slit channel with heterogeneous reaction at the outer wall. The reactive transport happens in presence of dominant Péclet number and order one Damköhler number. In particular, these Péclet numbers correspond to Taylor's dispersion regime. An effective model for the enhanced diffusion in this context was derived recently . It contains memory effects and contributions to the effective diffusion and effective advection velocity, due to the flow and chemistry reaction regime.In the present paper, we show through numerical simulations the efficiency of this new model. In particular, using Taylor's 'historical' parameters, we illustrate that our derived contributions are important and that using them is necessary in order to simulate correctly the reactive flows. We emphasize three main points. First, we show how the effective diffusion is enhanced by chemical effects at dispersive times. Second, our model captures an intermediate regime where the diffusion is anomalous and the distribution is asymmetric. Third, we show how the chemical effects also slow down the average speed of the front.

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“…Mondal and Mazumder (2005) studied the tracer dispersion in an annular pipe with reactive boundary. Solute transport in oscillatory flow through an annulus was investigated by Sarkar and Jayaraman (2004) and Mazumder and Mondal (2005) and also explained the application of their study to a catheterized artery.…”

Section: Introductionmentioning

confidence: 99%

On Dispersion in Oscillatory Annular Flow Driven Jointly by Pressure Pulsation and Wall Oscillation

Roy

Saha

Debnath

2017

JAFM

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Longitudinal dispersion of solute released in an unsteady flow between two coaxial cylinders is re-examined in the presence of first order chemical kinetics in the bulk flow. The flow unsteadiness is caused by the oscillation of the outer tube around its axis as well as by a periodic pressure gradient. Unlike some previous works, the gap width of the annular tube is used as the typical length scale which is physically meaningful to a greater extent. In order to employ the method of moment, a finite difference implicit scheme has been adopted to solve the Aris integral moment equations arising from the unsteady convective diffusion equation for all time periods. The individual and combined effects of different velocity components resulting from steady and timedependent parts of the driving forces are examined and they are identified based on their functionality. In any flow situation, wall factor is found to have a larger contribution in velocity as well as in dispersion compared to the pressure factor. The behaviour of dispersion coefficient with the variation of radius ratio, bulk flow reaction parameter, and frequency parameters have been examined. Dispersion coefficient is found to diminish with the increase of the reaction-rate in the bulk flow, whereas the effect of the radius ratio on the dispersion coefficient is fixed by the form of the velocity distribution. The axial distributions of mean concentration are approximated using Hermite polynomial representation from the first four central moments for a range of different reaction-rate parameters. It has been found that, irrespective of the flow situation, the peak of the concentration distribution decreases with the increase in reaction rate parameter.

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On the solute dispersion in a pipe of annular cross-section with absorption boundary

Cited by 21 publications

References 18 publications

Dispersion of reactive species with reversible and irreversible wall reactions

Dispersion of reactive species with reversible and irreversible wall reactions

Effective models for reactive flow under a dominant Péclet number and order one Damköhler number: Numerical simulations

On Dispersion in Oscillatory Annular Flow Driven Jointly by Pressure Pulsation and Wall Oscillation

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