Hall, ion slip and ohmic heating effects in thermally active sinusoidal channel

In this paper Carreau fluid is taken into account to study its peristaltic flow with Hall and ion-slip effects. The study is carried out in a wave frame of reference for both asymmetric and symmetric channel. Analysis of heat transfer is accomplished by taking the effects of viscous dissipation and...

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Main Authors: S. Noreen, T. Kousar
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2019-09-01
Series:Propulsion and Power Research
Online Access:http://www.sciencedirect.com/science/article/pii/S2212540X19300124
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author S. Noreen
T. Kousar
author_facet S. Noreen
T. Kousar
author_sort S. Noreen
collection DOAJ
description In this paper Carreau fluid is taken into account to study its peristaltic flow with Hall and ion-slip effects. The study is carried out in a wave frame of reference for both asymmetric and symmetric channel. Analysis of heat transfer is accomplished by taking the effects of viscous dissipation and ohmic heating into our consideration. Modeling of fundamental equations is followed by the construction of closed form solutions for pressure gradient, stream function and temperature while assuming Reynold׳s number is very low and wavelength very long. The closed form solutions are generated with the help of perturbation technique considering Weissenberg number to be very small. The effects of emerging parameters on pumping, trapping, axial pressure gradient, pressure rise, velocity profile and temperature are analyzed through the graphical representation. Keywords: Hall effect, Ion slip, Ohmic heating, Perturbation method
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spelling doaj.art-6d7bece5600141819162dd500876089c2023-09-03T02:46:06ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2019-09-0183263273Hall, ion slip and ohmic heating effects in thermally active sinusoidal channelS. Noreen0T. Kousar1Corresponding author.; Department of Mathematics, COMSATS University Islamabad, Park Road, Tarlai Kalan, Islamabad 45550, PakistanDepartment of Mathematics, COMSATS University Islamabad, Park Road, Tarlai Kalan, Islamabad 45550, PakistanIn this paper Carreau fluid is taken into account to study its peristaltic flow with Hall and ion-slip effects. The study is carried out in a wave frame of reference for both asymmetric and symmetric channel. Analysis of heat transfer is accomplished by taking the effects of viscous dissipation and ohmic heating into our consideration. Modeling of fundamental equations is followed by the construction of closed form solutions for pressure gradient, stream function and temperature while assuming Reynold׳s number is very low and wavelength very long. The closed form solutions are generated with the help of perturbation technique considering Weissenberg number to be very small. The effects of emerging parameters on pumping, trapping, axial pressure gradient, pressure rise, velocity profile and temperature are analyzed through the graphical representation. Keywords: Hall effect, Ion slip, Ohmic heating, Perturbation methodhttp://www.sciencedirect.com/science/article/pii/S2212540X19300124
spellingShingle S. Noreen
T. Kousar
Hall, ion slip and ohmic heating effects in thermally active sinusoidal channel
Propulsion and Power Research
title Hall, ion slip and ohmic heating effects in thermally active sinusoidal channel
title_full Hall, ion slip and ohmic heating effects in thermally active sinusoidal channel
title_fullStr Hall, ion slip and ohmic heating effects in thermally active sinusoidal channel
title_full_unstemmed Hall, ion slip and ohmic heating effects in thermally active sinusoidal channel
title_short Hall, ion slip and ohmic heating effects in thermally active sinusoidal channel
title_sort hall ion slip and ohmic heating effects in thermally active sinusoidal channel
url http://www.sciencedirect.com/science/article/pii/S2212540X19300124
work_keys_str_mv AT snoreen hallionslipandohmicheatingeffectsinthermallyactivesinusoidalchannel
AT tkousar hallionslipandohmicheatingeffectsinthermallyactivesinusoidalchannel