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Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes

The main concern of this paper is to introduce some new tubular shapes whose cross-sections result from the imposition of Navier’s velocity slip at the surface. A new family of pipes induced by the slip mechanism is thus discovered. The family is shown to modify the traditional pipes with elliptical...

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Detalles Bibliográficos
Autores principales: Turkyilmazoglu, Mustafa, Duraihem, Faisal Z.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10146830/
https://www.ncbi.nlm.nih.gov/pubmed/37421127
http://dx.doi.org/10.3390/mi14040894
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author Turkyilmazoglu, Mustafa
Duraihem, Faisal Z.
author_facet Turkyilmazoglu, Mustafa
Duraihem, Faisal Z.
author_sort Turkyilmazoglu, Mustafa
collection PubMed
description The main concern of this paper is to introduce some new tubular shapes whose cross-sections result from the imposition of Navier’s velocity slip at the surface. A new family of pipes induced by the slip mechanism is thus discovered. The family is shown to modify the traditional pipes with elliptical cross-sections in the absence of slip, and they partly resemble collapsible tubes. The velocity field through the new pipes is then analytically determined. Afterwards, the corresponding temperature field with a constant heat flux boundary is shown to be perturbed around the slip parameter, whose leading order is well known from the literature. The correction to this order is next evaluated analytically. The velocity and temperature fields are further discussed regarding such new shapes. More physical features, such as the wall shear stress, the centerline velocity, the slip velocity and the convective heat transfer are also studied in detail. From the solutions, it is observed that a circular pipe under the effect of a slip mechanism has the largest temperature and the lowest Nusselt number at the center of the modified pipe. The new pipes are thought to have engineering and practical value in the micromachining industry, besides offering new analytical solutions for the considered flow geometry.
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spelling pubmed-101468302023-04-29 Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes Turkyilmazoglu, Mustafa Duraihem, Faisal Z. Micromachines (Basel) Article The main concern of this paper is to introduce some new tubular shapes whose cross-sections result from the imposition of Navier’s velocity slip at the surface. A new family of pipes induced by the slip mechanism is thus discovered. The family is shown to modify the traditional pipes with elliptical cross-sections in the absence of slip, and they partly resemble collapsible tubes. The velocity field through the new pipes is then analytically determined. Afterwards, the corresponding temperature field with a constant heat flux boundary is shown to be perturbed around the slip parameter, whose leading order is well known from the literature. The correction to this order is next evaluated analytically. The velocity and temperature fields are further discussed regarding such new shapes. More physical features, such as the wall shear stress, the centerline velocity, the slip velocity and the convective heat transfer are also studied in detail. From the solutions, it is observed that a circular pipe under the effect of a slip mechanism has the largest temperature and the lowest Nusselt number at the center of the modified pipe. The new pipes are thought to have engineering and practical value in the micromachining industry, besides offering new analytical solutions for the considered flow geometry. MDPI 2023-04-21 /pmc/articles/PMC10146830/ /pubmed/37421127 http://dx.doi.org/10.3390/mi14040894 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Turkyilmazoglu, Mustafa
Duraihem, Faisal Z.
Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes
title Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes
title_full Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes
title_fullStr Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes
title_full_unstemmed Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes
title_short Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes
title_sort full solutions to flow and heat transfer from slip-induced microtube shapes
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10146830/
https://www.ncbi.nlm.nih.gov/pubmed/37421127
http://dx.doi.org/10.3390/mi14040894
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