Absorption with first order chemical reaction into a liquid film in laminar flow

Štěpánek, Josef; Achwal, S. K.

doi:10.1002/cjce.5450540611

Cited by 9 publications

(1 citation statement)

References 9 publications

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“…Equation (63) thus describes the development of concentration profiles within the liquid film for the problem of gas absorption accompanied by a first-order irreversible reaction in a wetted-wall column with a finite mass transfer resistance in the gas phase and a uniform gas phase concentra- tion. This corresponds exactly to the problem studied by Stepanek and Achwal (1976). who in addition took into account the parabolic velocity profile in the liquid film of finite thickness.…”

Section: Limiting Solutionsmentioning

confidence: 61%

Penetration theory solution for gas absorption and chemical reaction in cocurrent and countercurrent flow wetted‐wall columns

Datta

Rinker

1984

Can J Chem Eng

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Penetration theory solutions are provided for gas absorption with or without a (pseudo) first‐order irreversible chemical reaction in cocurrent and countercurrent flow wetted‐wall columns, taking into account a constant gas‐film resistance as well as the axial decrease in gas composition due to absorption, while assuming non‐rippling laminar flow for the liquid phase and plug flow for the gas phase. Limiting solutions are also obtained for situations when either the gas phase resistance or the axial variation of gas composition is negligible. The results are suitable for ϕ ≥ 3 and can be used for both Newtonian and non‐Newtonian liquids.

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Section: Limiting Solutionsmentioning

confidence: 61%

Penetration theory solution for gas absorption and chemical reaction in cocurrent and countercurrent flow wetted‐wall columns

Datta

Rinker

1984

Can J Chem Eng

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Effect of interfacial drag on gas absorption with chemical reaction in a vertical tube

Riazi

Faghri

1986

AIChE Journal

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The problem of gas absorption with chemical reaction has been studied extensively, and investigators in recent years (Stepanek and Achwal, 1976; Pedersen and Prenosil, 1981) have shown the effect of a finite gas-side resistance on absorption rate. However, in all the analyses made by these investigators, a parabolic velocity distrihution in the liquid film with no shear stress at the gas-liquid (G-L) interface was assumed, and the effect of shear stress at the G-L interface on velocity distribution in the liquid filin was neglected. The purpose of this study is to show the effect of interfacial shear stress on the rate of absorption froin a gas phase to a laminar falling liquid film in a vertical tube. In our analysis we assume that the physical properties of liquid are constant; in addition, the curvature of the layer and the interfacial surface waves are neglected. The assumption of neglecting curvature is valid as long as the layer thickness, 6, is sniall in comparison to the tube diameter, d .Furthermore we assume that the gas phase concentration and the film thickness are constant at a given liquid loading. Under these circumstances the transport equation describing concentration in laminar liquid film with first-order chemical reaction (neglecting the axial dispersion term) in appropriate dimensionless variables becomes:The corresponding boundary conditions for E q gas-side resistance are: z = o , O I I 1 1 ; c = o = N(C -a@ ? = O , f > O ; -a3 = o aC f = l , z > o ;a? Figure 1 shows the physical model used. Liquid enters the tube on the top with the thickness of 6 . Gas may enter froin the top (concurrent) or from the bottom in a countercurrent flow. Pedersen and Prenosil (1981) solved thl5 problein by assuming parabolic distribution for TiL.In this analysis we do not neglect the interfacial shear stress at the G-L interface, T,, and upon integration of the momentum equation we find the following velocity distrihution for the liquid film in a diinensionless forin: (5) IlL = (1 -IZ) + j y ( 1 -I) where + 1 concurrent flow I = { -1 countercurrent flow

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Enhancement Factor for Gas Absorption in a Finite Liquid Layer. Part 1: Instantaneous Reaction in a Liquid in Plug Flow

2012

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An approximate analysis of gas absorption with instantaneous reaction in a liquid layer of finite thickness in plug flow is presented. An approximate solution to the enhancement factor for the case of unequal diffusivities between the dissolved gas and the liquid reactant has been derived and validated by numerical simulation. Depending on the diffusivity ratio of the liquid reactant to the dissolved gas (γ), the enhancement factor tends to be either lower or higher than the prediction of the classical enhancement factor equation based on the penetration theory (Ei,pen) at Fourier numbers typically larger than 0.1. An empirical correlation valid for all Fourier numbers is proposed to allow a quick estimation of the enhancement factor, which describes the prediction of the approximate solution and the simulation data with a relative error below 5 % under the investigated conditions (γ = 0.3–4, Ei,pen = 2–1000).

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Absorption with first order chemical reaction into a liquid film in laminar flow

Abstract: Absorption with first order chemical reaction into a liquid film in laminar flow was analysed for the cases of zero and finite resistance in the gas phase. The result was obtained in 7, 213 (1974). (8) Danckwerts P. V., Trans. Faraday Soc., 46, 300 (1960) (9) Tamir. A.

Cited by 9 publications

References 9 publications

Penetration theory solution for gas absorption and chemical reaction in cocurrent and countercurrent flow wetted‐wall columns

Penetration theory solution for gas absorption and chemical reaction in cocurrent and countercurrent flow wetted‐wall columns

Effect of interfacial drag on gas absorption with chemical reaction in a vertical tube

Enhancement Factor for Gas Absorption in a Finite Liquid Layer. Part 1: Instantaneous Reaction in a Liquid in Plug Flow

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