Analytical Solution of Mixed Electroosmotic/ Pressure Driven Flow of Viscoelastic Fluids between a Parallel Flat Plates Micro-Channel: The Maxwell Model Using the Oldroyd and Jaumann Time Derivatives
In the present work, an analytical approximate solution of mixed electroosmotic/pressure driven flow of viscoelastic fluids between a parallel plates microchannel is reported. Inserting the Oldroyd, Jaumann, or both time derivatives into the Maxwell model, important differences in the velocity profi...
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doaj-89a0f5a6d8654bf7b6f52224e6e428442020-11-25T03:57:09ZengMDPI AGMicromachines2072-666X2020-10-011198698610.3390/mi11110986Analytical Solution of Mixed Electroosmotic/ Pressure Driven Flow of Viscoelastic Fluids between a Parallel Flat Plates Micro-Channel: The Maxwell Model Using the Oldroyd and Jaumann Time DerivativesLaura Casas0José A. Ortega1Aldo Gómez2Juan Escandón3René O. Vargas4SEPI-ESIME Zacatenco, Instituto Politécnico Nacional, Departamento de Diseño, Av. Luis Enrique Erro S/N, Unidad Profesional Adolfo López Mateos, Zacatenco, Alcaldía Gustavo A. Madero, Ciudad de México 07738, MexicoSEPI-ESIME Zacatenco, Instituto Politécnico Nacional, Departamento de Diseño, Av. Luis Enrique Erro S/N, Unidad Profesional Adolfo López Mateos, Zacatenco, Alcaldía Gustavo A. Madero, Ciudad de México 07738, MexicoUniversidad Nacional Autónoma de México, FES Cuautitlán, Departamento de Ingeniería, Sección Mecánica, Av. Teoloyucan Km 2.5, Col. San Sebastián Xhala, Cuautitlán Izcalli 54714, Estado de México, MexicoInstituto Politécnico Nacional, SEPI-ESIME Azcapotzalco, Departamento de Termofluidos, Av. de las Granjas No. 682, Col. Santa Catarina, Alcaldía Azcapotzalco, Ciudad de México 02250, MexicoInstituto Politécnico Nacional, SEPI-ESIME Azcapotzalco, Departamento de Termofluidos, Av. de las Granjas No. 682, Col. Santa Catarina, Alcaldía Azcapotzalco, Ciudad de México 02250, MexicoIn the present work, an analytical approximate solution of mixed electroosmotic/pressure driven flow of viscoelastic fluids between a parallel plates microchannel is reported. Inserting the Oldroyd, Jaumann, or both time derivatives into the Maxwell model, important differences in the velocity profiles were found. The presence of the shear and normal stresses is only close to the wall. This model can be used as a tool to understand the flow behavior of low viscosity fluids, as most of them experiment on translation, deformation and rotation of the flow. For practical applications, the volumetric flow rate can be controlled with two parameters, namely the gradient pressure and the electrokinetic parameter, once the fluid has been rheologically characterized.https://www.mdpi.com/2072-666X/11/11/986electroosmoticpressure driven flowviscoelastic fluidoldroyd derivatejaumann derivatemicrochannel |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Laura Casas José A. Ortega Aldo Gómez Juan Escandón René O. Vargas |
spellingShingle |
Laura Casas José A. Ortega Aldo Gómez Juan Escandón René O. Vargas Analytical Solution of Mixed Electroosmotic/ Pressure Driven Flow of Viscoelastic Fluids between a Parallel Flat Plates Micro-Channel: The Maxwell Model Using the Oldroyd and Jaumann Time Derivatives Micromachines electroosmotic pressure driven flow viscoelastic fluid oldroyd derivate jaumann derivate microchannel |
author_facet |
Laura Casas José A. Ortega Aldo Gómez Juan Escandón René O. Vargas |
author_sort |
Laura Casas |
title |
Analytical Solution of Mixed Electroosmotic/ Pressure Driven Flow of Viscoelastic Fluids between a Parallel Flat Plates Micro-Channel: The Maxwell Model Using the Oldroyd and Jaumann Time Derivatives |
title_short |
Analytical Solution of Mixed Electroosmotic/ Pressure Driven Flow of Viscoelastic Fluids between a Parallel Flat Plates Micro-Channel: The Maxwell Model Using the Oldroyd and Jaumann Time Derivatives |
title_full |
Analytical Solution of Mixed Electroosmotic/ Pressure Driven Flow of Viscoelastic Fluids between a Parallel Flat Plates Micro-Channel: The Maxwell Model Using the Oldroyd and Jaumann Time Derivatives |
title_fullStr |
Analytical Solution of Mixed Electroosmotic/ Pressure Driven Flow of Viscoelastic Fluids between a Parallel Flat Plates Micro-Channel: The Maxwell Model Using the Oldroyd and Jaumann Time Derivatives |
title_full_unstemmed |
Analytical Solution of Mixed Electroosmotic/ Pressure Driven Flow of Viscoelastic Fluids between a Parallel Flat Plates Micro-Channel: The Maxwell Model Using the Oldroyd and Jaumann Time Derivatives |
title_sort |
analytical solution of mixed electroosmotic/ pressure driven flow of viscoelastic fluids between a parallel flat plates micro-channel: the maxwell model using the oldroyd and jaumann time derivatives |
publisher |
MDPI AG |
series |
Micromachines |
issn |
2072-666X |
publishDate |
2020-10-01 |
description |
In the present work, an analytical approximate solution of mixed electroosmotic/pressure driven flow of viscoelastic fluids between a parallel plates microchannel is reported. Inserting the Oldroyd, Jaumann, or both time derivatives into the Maxwell model, important differences in the velocity profiles were found. The presence of the shear and normal stresses is only close to the wall. This model can be used as a tool to understand the flow behavior of low viscosity fluids, as most of them experiment on translation, deformation and rotation of the flow. For practical applications, the volumetric flow rate can be controlled with two parameters, namely the gradient pressure and the electrokinetic parameter, once the fluid has been rheologically characterized. |
topic |
electroosmotic pressure driven flow viscoelastic fluid oldroyd derivate jaumann derivate microchannel |
url |
https://www.mdpi.com/2072-666X/11/11/986 |
work_keys_str_mv |
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