Electro-osmotic flow of a third-grade fluid past a channel having stretching walls

Electro-osmotic flow of a third-grade fluid past a channel having stretching walls

The electro-osmotic flow of a third grade fluid past a channel having stretching walls has been studied in this paper. The channel height is taken much greater than the thickness of the electric double layer comprising of the Stern and diffuse layers. The equations governing the flow are obtained fr...

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Main Authors: Parida Mamata, Padhy Sudarsan
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Nonlinear Engineering
Subjects:
electro-osmosis
damped newton’s method
third-grade fluid
coefficient of skin-friction
76a05
76w05
76m20
Online Access:https://doi.org/10.1515/nleng-2017-0112
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spelling doaj-5c366d6e04614b7ca97c650918d240e52021-09-06T19:21:07ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-0181566410.1515/nleng-2017-0112nleng-2017-0112Electro-osmotic flow of a third-grade fluid past a channel having stretching wallsParida Mamata0Padhy Sudarsan1Department of Mathematics, Utkal University, Bhubaneswar751 004, IndiaDepartment of Mathematics, Utkal University, Bhubaneswar751 004, IndiaThe electro-osmotic flow of a third grade fluid past a channel having stretching walls has been studied in this paper. The channel height is taken much greater than the thickness of the electric double layer comprising of the Stern and diffuse layers. The equations governing the flow are obtained from continuity equation, the Cauchy’s momentum equation and the Poisson-Boltzmann equation. The Debye-Hückel approximation is adopted to linearize the Poisson-Boltzmann equation. Suitable similarity transformations are used to reduce the resulting non-linear partial differential equation to ordinary differential equation. The reduced equation is solved numerically using damped Newton’s method. The results computed are presented in form of graphs.https://doi.org/10.1515/nleng-2017-0112electro-osmosisdamped newton’s methodthird-grade fluidcoefficient of skin-friction76a0576w0576m20
collection DOAJ
language English
format Article
sources DOAJ
author Parida Mamata
Padhy Sudarsan
spellingShingle Parida Mamata
Padhy Sudarsan
Electro-osmotic flow of a third-grade fluid past a channel having stretching walls
Nonlinear Engineering
electro-osmosis
damped newton’s method
third-grade fluid
coefficient of skin-friction
76a05
76w05
76m20
author_facet Parida Mamata
Padhy Sudarsan
author_sort Parida Mamata
title Electro-osmotic flow of a third-grade fluid past a channel having stretching walls
title_short Electro-osmotic flow of a third-grade fluid past a channel having stretching walls
title_full Electro-osmotic flow of a third-grade fluid past a channel having stretching walls
title_fullStr Electro-osmotic flow of a third-grade fluid past a channel having stretching walls
title_full_unstemmed Electro-osmotic flow of a third-grade fluid past a channel having stretching walls
title_sort electro-osmotic flow of a third-grade fluid past a channel having stretching walls
publisher De Gruyter
series Nonlinear Engineering
issn 2192-8010
2192-8029
publishDate 2019-01-01
description The electro-osmotic flow of a third grade fluid past a channel having stretching walls has been studied in this paper. The channel height is taken much greater than the thickness of the electric double layer comprising of the Stern and diffuse layers. The equations governing the flow are obtained from continuity equation, the Cauchy’s momentum equation and the Poisson-Boltzmann equation. The Debye-Hückel approximation is adopted to linearize the Poisson-Boltzmann equation. Suitable similarity transformations are used to reduce the resulting non-linear partial differential equation to ordinary differential equation. The reduced equation is solved numerically using damped Newton’s method. The results computed are presented in form of graphs.
topic electro-osmosis
damped newton’s method
third-grade fluid
coefficient of skin-friction
76a05
76w05
76m20
url https://doi.org/10.1515/nleng-2017-0112
work_keys_str_mv AT paridamamata electroosmoticflowofathirdgradefluidpastachannelhavingstretchingwalls
AT padhysudarsan electroosmoticflowofathirdgradefluidpastachannelhavingstretchingwalls
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