Unsteady Convective Diffusion with Interphase Mass Transfer in Casson Liquid

Apu Kumar Saha,Ashis Kumar Roy,Sudip Debnath

doi:10.3311/ppch.10328

Apu Kumar Saha, Ashis Kumar Roy + Show 1 more

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https://doi.org/10.3311/ppch.10328

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Abstract

This study aims to examine the dispersion of a passive contaminant of solute released in Casson liquid flow through a tube. The wall of the tube is taken to be chemically active where the flow is driven by the constant pressure gradient. To evaluate the transport coefficients, Aris-Barton’s Moment technique is considered, a finite difference implicit scheme is adopted to handle the differential equation arises in moment methodology. Also to confirm the results obtained by Aris-Barton’s method, the generalized dispersion model has been applied. Unlike the previous studies on dispersion in Casson liquid, the time-dependent behavior of the transport coefficients has been established. Some significant observations have been founded, e.g. exchange coefficient is independent of yield stress while the convection coefficient and dispersion coefficient are inversely proportional to yield stress. Results reveal that transport coefficients are enormously affected by wall absorption.

Highlights

The process of dispersion is a classical mechanism to measure the rate of spreading of the species in a flowing stream
The classical attempt of this type of investigation was initiated by Taylor [8] in 1953. He observed that fluid was dispersed about a point moving with mean velocity Uof flow with an apparent diffusion coefficient _a 4_ 28 U_D_ 2 where, Dis the molecular diffusion coefficient and ais the radius of the tube, but this is valid only in specific ambiance
6 Results and Discussion The present problem is concerned with longitudinal dispersion of solute subject to molecular diffusion of the solute when introduced into a circular tube

Summary

Introduction

The process of dispersion is a classical mechanism to measure the rate of spreading of the species in a flowing stream. The classical attempt of this type of investigation was initiated by Taylor [8] in 1953. He observed that fluid was dispersed about a point moving with mean velocity Uof flow with an apparent diffusion coefficient _a 4_ 28 U_D_ 2 where, Dis the molecular diffusion coefficient and ais the radius of the tube, but this is valid only in specific ambiance The authors studied the same where he considered solute reacting with the wall of the pipe.

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