Hydrodynamic dispersion of reactive solute in a Hagen-Poiseuille flow of a layered liquid

doi:10.1016/j.cjche.2017.03.005

›› 2017, Vol. 25 ›› Issue (7): 862-873.DOI: 10.1016/j.cjche.2017.03.005

• Fluid Dynamics and Transport Phenomena • 上一篇下一篇

Hydrodynamic dispersion of reactive solute in a Hagen-Poiseuille flow of a layered liquid

Sudip Debnath¹, Apu Kumar Saha¹, B. S. Mazumder^2,3, Ashis Kumar Roy¹

1 Department of Mathematics, National Institute of Technology, Agartala 799046, India;
2 Fluvial Mechanics Laboratory, Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India;
3 Fluid Mechanics and Hydraulic Laboratory(FMHL), Department of Aerospace Engineering and Applied Mechanics, Indian Institute of Engineering Science and Technology(ⅡEST), Shibpur, Howrah 711 103, India

收稿日期:2016-06-23 修回日期:2017-03-02 出版日期:2017-07-28 发布日期:2017-08-17
通讯作者: Sudip Debnath,E-mail address:sudipdebnath49@gmail.com

Hydrodynamic dispersion of reactive solute in a Hagen-Poiseuille flow of a layered liquid

Sudip Debnath¹, Apu Kumar Saha¹, B. S. Mazumder^2,3, Ashis Kumar Roy¹

1 Department of Mathematics, National Institute of Technology, Agartala 799046, India;
2 Fluvial Mechanics Laboratory, Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India;
3 Fluid Mechanics and Hydraulic Laboratory(FMHL), Department of Aerospace Engineering and Applied Mechanics, Indian Institute of Engineering Science and Technology(ⅡEST), Shibpur, Howrah 711 103, India

Received:2016-06-23 Revised:2017-03-02 Online:2017-07-28 Published:2017-08-17

摘要/Abstract

摘要： An analysis of the solute dispersion in the liquid flowing through a pipe by means of Aris-Barton's ‘method of moments’, under the joint effect of some finite yield stress and irreversible absorption into the wall is presented in this paper. The liquid is considered as a three-layer liquid where the center region is Casson liquid surrounded by Newtonian liquid layer. A significant change from previous modelling exercises in the study of hydrodynamic dispersion, different molecular diffusivity has been considered for the different region yet to be constant. For all time period, finite difference implicit scheme has been adopted to solve the integral moment equation arising from the unsteady convective diffusion equation. The purpose of the study is to find the dependency of solute transport coefficients on absorption parameter, yield stress, viscosity ratio, peripheral layer variation and in addition with various diffusivity coefficients in different liquid layers. This kind of study may be useful for understanding the dispersion process in the blood flow analysis.

关键词: Casson liquid, Yield stress, Axial-dispersion coefficient, Irreversible reaction, Diffusivity

Abstract: An analysis of the solute dispersion in the liquid flowing through a pipe by means of Aris-Barton's ‘method of moments’, under the joint effect of some finite yield stress and irreversible absorption into the wall is presented in this paper. The liquid is considered as a three-layer liquid where the center region is Casson liquid surrounded by Newtonian liquid layer. A significant change from previous modelling exercises in the study of hydrodynamic dispersion, different molecular diffusivity has been considered for the different region yet to be constant. For all time period, finite difference implicit scheme has been adopted to solve the integral moment equation arising from the unsteady convective diffusion equation. The purpose of the study is to find the dependency of solute transport coefficients on absorption parameter, yield stress, viscosity ratio, peripheral layer variation and in addition with various diffusivity coefficients in different liquid layers. This kind of study may be useful for understanding the dispersion process in the blood flow analysis.

Key words: Casson liquid, Yield stress, Axial-dispersion coefficient, Irreversible reaction, Diffusivity

Sudip Debnath, Apu Kumar Saha, B. S. Mazumder, Ashis Kumar Roy. Hydrodynamic dispersion of reactive solute in a Hagen-Poiseuille flow of a layered liquid[J]. , 2017, 25(7): 862-873.

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Hydrodynamic dispersion of reactive solute in a Hagen-Poiseuille flow of a layered liquid

Hydrodynamic dispersion of reactive solute in a Hagen-Poiseuille flow of a layered liquid

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