Exact solution for velocity profile of flow of multilayer immiscible liquids

Sayyadul Arafin; S. M. Mujibur Rahman

doi:10.1080/00319104.2014.947371

Exact solution for velocity profile of flow of multilayer immiscible liquids

Sayyadul Arafin^*, S. M. Mujibur Rahman

^*Corresponding author for this work

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

Exact solution of the momentum balance Equation for a multilayer immiscible liquid system following the criterion of Newtonian fluids under laminar flow is presented. The exact solutions for the multilayer system are found by identifying patterns in the expressions for velocities in two-, three-, four-, and five-layer liquid systems. Finally, the method has been generalised to find solutions for an n-layer hypothetical system. Examples for the velocity profile of two and three layers of real liquids along with that of a twenty-layer hypothetical immiscible liquid system are presented.

Original language	English
Pages (from-to)	84-103
Number of pages	20
Journal	Physics and Chemistry of Liquids
Volume	53
Issue number	1
DOIs	https://doi.org/10.1080/00319104.2014.947371
Publication status	Published - Jan 2 2015

Keywords

general solution
immiscible liquids
multilayer flow

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Physical and Theoretical Chemistry
Materials Chemistry

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10.1080/00319104.2014.947371

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abstract = "Exact solution of the momentum balance Equation for a multilayer immiscible liquid system following the criterion of Newtonian fluids under laminar flow is presented. The exact solutions for the multilayer system are found by identifying patterns in the expressions for velocities in two-, three-, four-, and five-layer liquid systems. Finally, the method has been generalised to find solutions for an n-layer hypothetical system. Examples for the velocity profile of two and three layers of real liquids along with that of a twenty-layer hypothetical immiscible liquid system are presented.",

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AU - Arafin, Sayyadul

AU - Mujibur Rahman, S. M.

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N2 - Exact solution of the momentum balance Equation for a multilayer immiscible liquid system following the criterion of Newtonian fluids under laminar flow is presented. The exact solutions for the multilayer system are found by identifying patterns in the expressions for velocities in two-, three-, four-, and five-layer liquid systems. Finally, the method has been generalised to find solutions for an n-layer hypothetical system. Examples for the velocity profile of two and three layers of real liquids along with that of a twenty-layer hypothetical immiscible liquid system are presented.

AB - Exact solution of the momentum balance Equation for a multilayer immiscible liquid system following the criterion of Newtonian fluids under laminar flow is presented. The exact solutions for the multilayer system are found by identifying patterns in the expressions for velocities in two-, three-, four-, and five-layer liquid systems. Finally, the method has been generalised to find solutions for an n-layer hypothetical system. Examples for the velocity profile of two and three layers of real liquids along with that of a twenty-layer hypothetical immiscible liquid system are presented.

KW - general solution

KW - immiscible liquids

KW - multilayer flow

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JO - Physics and Chemistry of Liquids

JF - Physics and Chemistry of Liquids

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ER -

Exact solution for velocity profile of flow of multilayer immiscible liquids

Abstract

Keywords

ASJC Scopus subject areas

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