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Natural convection flow of a second grade fluid in an infinite vertical cylinder
In current study natural convection flow of second grade fluid in an oscillating infinite vertical cylinder is investigated. The dimensionless governing equations for temperature and velocity are obtained by introducing the non-dimensional variables. Exact solutions for temperature and velocity fiel...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7239940/ https://www.ncbi.nlm.nih.gov/pubmed/32433475 http://dx.doi.org/10.1038/s41598-020-64533-z |
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author | Javaid, Maria Imran, M. Imran, M. A. Khan, I. Nisar, K. S. |
author_facet | Javaid, Maria Imran, M. Imran, M. A. Khan, I. Nisar, K. S. |
author_sort | Javaid, Maria |
collection | PubMed |
description | In current study natural convection flow of second grade fluid in an oscillating infinite vertical cylinder is investigated. The dimensionless governing equations for temperature and velocity are obtained by introducing the non-dimensional variables. Exact solutions for temperature and velocity field are computed by means of integral transformation. Solutions for cosine and sine oscillations of velocity field are introduced in the form of transient and post-transient arrangements. A special case for Newtonian fluid is obtained from general results and transients solutions are computed in terms of tables. In the end, the impact of dimensionless numbers (Grashof and Prandtl numbers) at different values of time is presented in graphical form and found that velocity for Newtonian fluid has greater values than the second grade fluid. Furthermore, there are some comparisons of calculated solutions with existing solutions in literature. |
format | Online Article Text |
id | pubmed-7239940 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-72399402020-05-29 Natural convection flow of a second grade fluid in an infinite vertical cylinder Javaid, Maria Imran, M. Imran, M. A. Khan, I. Nisar, K. S. Sci Rep Article In current study natural convection flow of second grade fluid in an oscillating infinite vertical cylinder is investigated. The dimensionless governing equations for temperature and velocity are obtained by introducing the non-dimensional variables. Exact solutions for temperature and velocity field are computed by means of integral transformation. Solutions for cosine and sine oscillations of velocity field are introduced in the form of transient and post-transient arrangements. A special case for Newtonian fluid is obtained from general results and transients solutions are computed in terms of tables. In the end, the impact of dimensionless numbers (Grashof and Prandtl numbers) at different values of time is presented in graphical form and found that velocity for Newtonian fluid has greater values than the second grade fluid. Furthermore, there are some comparisons of calculated solutions with existing solutions in literature. Nature Publishing Group UK 2020-05-20 /pmc/articles/PMC7239940/ /pubmed/32433475 http://dx.doi.org/10.1038/s41598-020-64533-z Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Javaid, Maria Imran, M. Imran, M. A. Khan, I. Nisar, K. S. Natural convection flow of a second grade fluid in an infinite vertical cylinder |
title | Natural convection flow of a second grade fluid in an infinite vertical cylinder |
title_full | Natural convection flow of a second grade fluid in an infinite vertical cylinder |
title_fullStr | Natural convection flow of a second grade fluid in an infinite vertical cylinder |
title_full_unstemmed | Natural convection flow of a second grade fluid in an infinite vertical cylinder |
title_short | Natural convection flow of a second grade fluid in an infinite vertical cylinder |
title_sort | natural convection flow of a second grade fluid in an infinite vertical cylinder |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7239940/ https://www.ncbi.nlm.nih.gov/pubmed/32433475 http://dx.doi.org/10.1038/s41598-020-64533-z |
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