Hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions

This work is arranged to investigate the Hall current and Joule heating effects on peristaltic flow of a Sisko fluid through a porous medium. The streaming is through tapered artery with mild stenosis. The influences of radiative heat transfer and chemical reactions are taken in consideration. Con...

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Main Authors: El-dabe, Nabil T.M., Mostapha, Doaa R.
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2020
Online Access:http://journalarticle.ukm.my/15410/1/23.pdf
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author El-dabe, Nabil T.M.
Mostapha, Doaa R.
author_facet El-dabe, Nabil T.M.
Mostapha, Doaa R.
author_sort El-dabe, Nabil T.M.
collection UKM
description This work is arranged to investigate the Hall current and Joule heating effects on peristaltic flow of a Sisko fluid through a porous medium. The streaming is through tapered artery with mild stenosis. The influences of radiative heat transfer and chemical reactions are taken in consideration. Convective conditions are considered for heat and mass transfer. However, the slip conditions are adopted for the velocity distribution. The combined effects of viscous dissipation and radiation in energy expression are presented. Soret and Dufour features produce the coupled differential systems. The presumptions of the long wavelength and low Reynolds number are adopted to examine the governing equations of motion. The analytical solutions of these equations are given by two methods. The first one uses regular perturbation technique, which based on small wave number for small artery. The second one is based on utilizing the Homotopy perturbation technique. The approximate analytical solutions of the pressure rise and friction force are predestined along a numerical integration. The influences of various physical parameters of the problem are debated and depicted graphically through a set of figures. It is found that the axial velocity increases with the increase of Hall current parameter and with the decrease of Hartmann number. Also, it can be observed that the Brickmann number and Dufour number give rise to the fluid temperature. Meanwhile, reverse effect is observed towards concentration for both Schmidt number and chemical reaction number. Furthermore, the stream lines are graphically shown.
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spelling ukm.eprints-154102020-10-23T01:41:02Z http://journalarticle.ukm.my/15410/ Hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions El-dabe, Nabil T.M. Mostapha, Doaa R. This work is arranged to investigate the Hall current and Joule heating effects on peristaltic flow of a Sisko fluid through a porous medium. The streaming is through tapered artery with mild stenosis. The influences of radiative heat transfer and chemical reactions are taken in consideration. Convective conditions are considered for heat and mass transfer. However, the slip conditions are adopted for the velocity distribution. The combined effects of viscous dissipation and radiation in energy expression are presented. Soret and Dufour features produce the coupled differential systems. The presumptions of the long wavelength and low Reynolds number are adopted to examine the governing equations of motion. The analytical solutions of these equations are given by two methods. The first one uses regular perturbation technique, which based on small wave number for small artery. The second one is based on utilizing the Homotopy perturbation technique. The approximate analytical solutions of the pressure rise and friction force are predestined along a numerical integration. The influences of various physical parameters of the problem are debated and depicted graphically through a set of figures. It is found that the axial velocity increases with the increase of Hall current parameter and with the decrease of Hartmann number. Also, it can be observed that the Brickmann number and Dufour number give rise to the fluid temperature. Meanwhile, reverse effect is observed towards concentration for both Schmidt number and chemical reaction number. Furthermore, the stream lines are graphically shown. Penerbit Universiti Kebangsaan Malaysia 2020-05 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/15410/1/23.pdf El-dabe, Nabil T.M. and Mostapha, Doaa R. (2020) Hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions. Sains Malaysiana, 49 (5). pp. 1175-1190. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid49bil5_2020/KandunganJilid49Bil5_2020.html
spellingShingle El-dabe, Nabil T.M.
Mostapha, Doaa R.
Hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions
title Hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions
title_full Hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions
title_fullStr Hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions
title_full_unstemmed Hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions
title_short Hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions
title_sort hall current and joule heating effects on peristaltic flow of a sisko fluid with mild stenosis through a porous medium in a tapered artery with slip and convective boundary conditions
url http://journalarticle.ukm.my/15410/1/23.pdf
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