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Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode
The study of Von Kármán swirling flow is a subject of active interest due to its applications in a wide range of fields, including biofuel manufacturing, rotating heat exchangers, rotating disc reactors, liquid metal pumping engines, food processing, electric power generating systems, designs of mul...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10056891/ https://www.ncbi.nlm.nih.gov/pubmed/36984988 http://dx.doi.org/10.3390/mi14030582 |
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author | Visuvasam, James Alotaibi, Hammad |
author_facet | Visuvasam, James Alotaibi, Hammad |
author_sort | Visuvasam, James |
collection | PubMed |
description | The study of Von Kármán swirling flow is a subject of active interest due to its applications in a wide range of fields, including biofuel manufacturing, rotating heat exchangers, rotating disc reactors, liquid metal pumping engines, food processing, electric power generating systems, designs of multi-pore distributors, and many others. This paper focusses on investigating Von Kármán swirling flows of viscous incompressible fluid due to a rotating disk electrode. The model is based on a system of four coupled second-order non-linear differential equations. The purpose of the present communication is to derive analytical expressions of velocity components by solving the non-linear equations using the homotopy analysis method. Combined effects of the slip λ and porosity γ parameters are studied in detail. If either parameter is increased, all velocity components are reduced, as both have the same effect on the mean velocity profiles. The porosity parameter γ increases the moment coefficient at the disk surface, which monotonically decreases with the slip parameter λ. The analytical results are also compared with numerical solutions, which are in satisfactory agreement. Furthermore, the effects of porosity and slip parameters on velocity profiles are discussed. |
format | Online Article Text |
id | pubmed-10056891 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-100568912023-03-30 Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode Visuvasam, James Alotaibi, Hammad Micromachines (Basel) Article The study of Von Kármán swirling flow is a subject of active interest due to its applications in a wide range of fields, including biofuel manufacturing, rotating heat exchangers, rotating disc reactors, liquid metal pumping engines, food processing, electric power generating systems, designs of multi-pore distributors, and many others. This paper focusses on investigating Von Kármán swirling flows of viscous incompressible fluid due to a rotating disk electrode. The model is based on a system of four coupled second-order non-linear differential equations. The purpose of the present communication is to derive analytical expressions of velocity components by solving the non-linear equations using the homotopy analysis method. Combined effects of the slip λ and porosity γ parameters are studied in detail. If either parameter is increased, all velocity components are reduced, as both have the same effect on the mean velocity profiles. The porosity parameter γ increases the moment coefficient at the disk surface, which monotonically decreases with the slip parameter λ. The analytical results are also compared with numerical solutions, which are in satisfactory agreement. Furthermore, the effects of porosity and slip parameters on velocity profiles are discussed. MDPI 2023-02-28 /pmc/articles/PMC10056891/ /pubmed/36984988 http://dx.doi.org/10.3390/mi14030582 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 Visuvasam, James Alotaibi, Hammad Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode |
title | Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode |
title_full | Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode |
title_fullStr | Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode |
title_full_unstemmed | Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode |
title_short | Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode |
title_sort | analysis of von kármán swirling flows due to a porous rotating disk electrode |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10056891/ https://www.ncbi.nlm.nih.gov/pubmed/36984988 http://dx.doi.org/10.3390/mi14030582 |
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