On the dispersion of a solute in oscillating flow through a channel

Hazra, S. B.; Gupta, A. S.; Niyogi, P.

doi:10.1007/bf02328617

Cited by 16 publications

(3 citation statements)

References 5 publications

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“…Gill and Sankarasubramanian 18 addressed time-dependent behavior, and Gill and Sankarasubramanian 19 considered non-uniform mass transfer slug and transient diffusion effects. Additional subsequent investigations on Taylor dispersion were reported by Watson, 20 Hazra et al 21 (for oscillatory current flows), Zeng et al, 22 and Wu et al 23 (for tidal wetland flows). More recently, investigators have also considered chemical reaction effects in Taylor dispersion.…”

Section: Transient Dispersion Of Reactive Solute Transport In Electro...mentioning

confidence: 84%

Transient dispersion of reactive solute transport in electrokinetic microchannel flow

Huang,

Debnath,

Roy

et al. 2024

Physics of Fluids

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Motivated by emerging applications in bio-microfluidic devices, the present study rigorously examines the generalized Taylor–Gill hydrodynamic dispersion of a point source solute injected into a microchannel, influenced by a constant axial static electric field along the channel and charged surface with different wall potentials. The solute engages in a first-order irreversible chemical reaction at both the microchannel walls. By incorporating different wall potentials and absorptive coefficients at the lower and upper walls, the current transport model for electro-osmotic flows is extended to encompass a wider range of applications. The solute transport phenomenon is intricately modeled using the unsteady convective diffusion equation. Employing Gill's generalized dispersion model, a concentration decomposition technique, up to the third-order accuracy, we meticulously analyze the transport process. Furthermore, a comprehensive comparison between analytical outcomes and numerical simulations using the Brownian Dynamics method is undertaken, enhancing the robustness of the analytical approach. The scattering process is mainly analyzed with the help of exchange, convection, dispersion, and asymmetry coefficients, along with the mean concentration profile. The effect of initial solute release at various vertical locations in the microchannel is shown to exert a considerable impact on all the transport coefficients at initial times.

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Section: Transient Dispersion Of Reactive Solute Transport In Electro...mentioning

confidence: 84%

Transient dispersion of reactive solute transport in electrokinetic microchannel flow

Huang,

Debnath,

Roy

et al. 2024

Physics of Fluids

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“…A similar approach in solution method compared with Sankarasubramanian was conducted by Hazra et al [9] who considered dispersion of a solute in oscillating flow through a channel. The longitudinal dispersion coefficient of a solute in a viscous incompressible fluid flowing in a parallel plate channel in the presence of a periodic pressure gradient with a nonzero mean was determined.…”

Section: Introductionmentioning

confidence: 99%

Mass Transfer in a Rigid Tube With Pulsatile Flow and Constant Wall Concentration

Moschandreou

Ellis

Goldman

2010

Journal of Fluids Engineering

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An approximate-analytical solution method is presented for the problem of mass transfer in a rigid tube with pulsatile flow. For the case of constant wall concentration, it is shown that the generalized integral transform (GIT) method can be used to obtain a solution in terms of a perturbation expansion, where the coefficients of each term are given by a system of coupled ordinary differential equations. Truncating the system at some large value of the parameter N, an approximate solution for the system is obtained for the first term in the perturbation expansion, and the GIT-based solution is verified by comparison to a numerical solution. The GIT approximate-analytical solution indicates that for small to moderate nondimensional frequencies for any distance from the inlet of the tube, there is a positive peak in the bulk concentration C1b due to pulsation, thereby, producing a higher mass transfer mixing efficiency in the tube. As we further increase the frequency, the positive peak is followed by a negative peak in the time-averaged bulk concentration and then the bulk concentration C1b oscillates and dampens to zero. Initially, for small frequencies the relative Sherwood number is negative indicating that the effect of pulsation tends to reduce mass transfer. There is a band of frequencies, where the relative Sherwood number is positive indicating that the effect of pulsation tends to increase mass transfer. The positive peak in bulk concentration corresponds to a matching of the phase of the pulsatile velocity and the concentration, respectively, where the unique maximum of both occur for certain time in the cycle. The oscillatory component of concentration is also determined radially in the tube where the concentration develops first near the wall of the tube, and the lobes of the concentration curves increase with increasing distance downstream until the concentration becomes fully developed. The GIT method proves to be a working approach to solve the first two perturbation terms in the governing equations involved.

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“…Gaver et al (1992) then studied the gas dispersion in a volume-cycled pipe flow through tracer bolus experiments, which corresponded to the theoretical prediction of Elad et al (1992) and showed good agreement. Hazra et al (1996) analyzed the solute dispersion in a channel during a periodic oscillating flow, and pointed out that the longitudinal dispersion due to molecular diffusion and non-uniform cross-section velocity can be influenced by the frequency and amplitude of the flow. Bandyopadhyay and Mazumder (1999) investigated the streamwise dispersion by using the Aris-Barton method of moments, and obtained the coefficient for three different cases of steady, periodic and combined effect of steady and periodic flows.…”

Section: Laminar Oscillatory Pipe/channel Flowsmentioning

confidence: 99%

Dispersion in oscillatory flows

Song¹

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On the dispersion of a solute in oscillating flow through a channel

Cited by 16 publications

References 5 publications

Transient dispersion of reactive solute transport in electrokinetic microchannel flow

Transient dispersion of reactive solute transport in electrokinetic microchannel flow

Mass Transfer in a Rigid Tube With Pulsatile Flow and Constant Wall Concentration

Dispersion in oscillatory flows

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