Concentration Distribution in the Wake of a Plane Surface Buried in a Porous Media in Alignment with the Flow Direction

The present work describes the mass transfer process between a moving fluid and a slightly soluble flat surface buried in a packed bed of small inert particles with uniform voidage, by both advection and diffusion. Numerical solutions of the differential equation describing solute mass conservation were undertaken to obtain the concentration profiles, for each concentration level, the width and downstream length of the corresponding contour surface and the mass transfer flux was integrated to give the Sherwood number as a function of Peclet number. A mathematical expression that relates the dependence with the Peclet number is proposed to describe the approximate size of the diffusion wake downstream of the reactive solid mass.

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Experimental and Analytical Study of Contaminant Transport Resulting from Dissolution of a Flat Surface Buried in a Packed Bed

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.297-301.1238 ◽

2010 ◽

Vol 297-301 ◽

pp. 1238-1243

Author(s):

João M.P.Q. Delgado ◽

M. Vázquez da Silva

Keyword(s):

Contaminant Transport ◽

Numerical Solutions ◽

Flat Surface ◽

Mathematical Expression ◽

Mass Conservation ◽

Mass Transfer Process ◽

Packed Bed ◽

Axial Distance ◽

And Diffusion ◽

Moving Fluid

The present work describes the mass transfer process between a moving fluid and a slightly soluble flat surface buried in a packed bed of small inert particles with uniform voidage, by both advection and diffusion/dispersion. Numerical solutions of the differential equations describing solute mass conservation were undertaken to obtain the concentration profiles, for each concentration level. A simple mathematical expression that relates the dependence between concentration and axial distance is proposed to describe the approximate size of the diffusion wake downstream of the reactive solid mass.

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A New Approach to Measure Diffusion Coefficients at Different Temperatures – A Simple Experiment

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.273-276.789 ◽

2008 ◽

Vol 273-276 ◽

pp. 789-795

Author(s):

João M.P.Q. Delgado

Keyword(s):

Mass Transfer ◽

Benzoic Acid ◽

Molecular Diffusion ◽

Plane Surface ◽

Mass Transfer Process ◽

Packed Bed ◽

Accurate Method ◽

New Approach ◽

Wide Range ◽

Different Temperatures

The present work describes the mass transfer process between a moving fluid and a slightly soluble plane surface buried in a packed bed, in alignment with the direction of flow. The bed of inert particles is taken to have uniform voidage. The elliptic equation resulting from a differential mass balance was solved numerically over a wide range of the relevant parameters and the resulting values of Sherwood number are seemed to depend only of the Peclet number. Experiments measurements of mass transfer in water were performed on the dissolution of plane surfaces of 2-naphthol and benzoic acid at temperatures that differ significantly from ambient value. The soluble plane surfaces used in the experiments were made of either 2-naphthol or benzoic acid and the range of temperatures covered were 278 to 368 K, for the dissolution of 2-naphthol, and 278 to 338 K, for benzoic acid in water. The results illustrate a simple and accurate method for the measurement of the coefficient of molecular diffusion of slightly soluble solutes.

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REGULAR EXPANSION SOLUTIONS FOR SMALL PECLET NUMBER HEAT OR MASS TRANSFER IN CONCENTRATED TWO-PHASE PARTICULATE SYSTEMS

10.1615/ihtc5.2070 ◽

1974 ◽

Author(s):

I. Yaron

Keyword(s):

Mass Transfer ◽

Peclet Number ◽

Two Phase ◽

Péclet Number ◽

Particulate Systems

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Multilevel cross flow rotating packed bed to enhance gas film control mass transfer process

Chemical Engineering and Processing - Process Intensification ◽

10.1016/j.cep.2021.108321 ◽

2021 ◽

Vol 161 ◽

pp. 108321

Author(s):

Qing-Qing Duan ◽

Zhi-Guo Yuan ◽

You-Zhi Liu ◽

Shan-Shan Duan ◽

Xi-Fan Duan

Keyword(s):

Mass Transfer ◽

Transfer Process ◽

Cross Flow ◽

Mass Transfer Process ◽

Packed Bed ◽

Rotating Packed Bed

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CFD modeling of gas–liquid mass transfer process in a rotating packed bed

Chemical Engineering Journal ◽

10.1016/j.cej.2016.02.054 ◽

2016 ◽

Vol 294 ◽

pp. 111-121 ◽

Cited By ~ 35

Author(s):

Yucheng Yang ◽

Yang Xiang ◽

Guangwen Chu ◽

Haikui Zou ◽

Baochang Sun ◽

...

Keyword(s):

Mass Transfer ◽

Transfer Process ◽

Mass Transfer Process ◽

Packed Bed ◽

Cfd Modeling ◽

Liquid Mass ◽

Rotating Packed Bed ◽

Liquid Mass Transfer

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Finite element thermal analysis of a moving porous fin with temperature-variant thermal conductivity and internal heat generation

Reports in Mechanical Engineering ◽

10.31181/rme200101110s ◽

2020 ◽

Vol 1 (1) ◽

pp. 110

Author(s):

Gbeminiyi Sobamowo ◽

Keyword(s):

Heat Transfer ◽

Thermal Conductivity ◽

Finite Element ◽

Heat Generation ◽

Peclet Number ◽

Numerical Solutions ◽

Internal Heat ◽

Internal Heat Generation ◽

Péclet Number ◽

Porous Fin

This paper focuses on finite element analysis of the thermal behaviour of a moving porous fin with temperature-variant thermal conductivity and internal heat generation. The numerical solutions are used to investigate the effects of Peclet number, Hartmann number, porous and convective parameters on the temperature distribution, heat transfer and efficiency of the moving fin. The results show that when the convective and porous parameters increase, the adimensional fin temperature decreases. However, the value of the fin temperature is amplified as the value Peclet number is enlarged. Also, an increase in the thermal conductivity and the internal heat generation cause the fin temperature to fall and the rate of heat transfer from the fin to decrease. Therefore, the operational parameters of the fin must be carefully selected to avoid thermal instability in the fin.

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Gas film coefficient of mass transfer in low Péclet number region for sphere packed beds

Chemical Engineering Science ◽

10.1016/0009-2509(76)80043-7 ◽

1976 ◽

Vol 31 (6) ◽

pp. 516

Keyword(s):

Mass Transfer ◽

Peclet Number ◽

Packed Beds ◽

Péclet Number ◽

Film Coefficient

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An Electroosmotically Stirred Continuous Micro Mixer

ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels ◽

10.1115/icnmm2008-62022 ◽

2008 ◽

Cited By ~ 1

Author(s):

Ali Beskok

Keyword(s):

Peclet Number ◽

Numerical Solutions ◽

Mixing Efficiency ◽

Patterned Surfaces ◽

Péclet Number ◽

Microfluidic Mixer ◽

Finite Time Lyapunov Exponents ◽

Operation Conditions ◽

Pressure Driven Flow ◽

Micro Mixer

A continuous microfluidic mixer concept is developed by superposition of time-periodic electroosmotic flow on zeta potential patterned surfaces and pressure driven flow. Finite time Lyapunov exponents and filament stretching are utilized to quantify the chaotic strength, and to identify the chaotic and regular zones in the mixer at various operation conditions. Numerical solutions of the species transport equation are performed as a function of the Peclet number (Pe) at fixed kinematic conditions. Mixing efficiency is quantified using mixing index that is based on standard deviation of the scalar species distribution. The mixing length (lm) is characterized as a function of the Peclet number, and lm ∝ ln (Pe) scaling is observed under locally-optimum stirring conditions.

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