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Entropy Generation in Cu-Al(2)O(3)-H(2)O Hybrid Nanofluid Flow over a Curved Surface with Thermal Dissipation
Heat transfer and entropy generation in a hybrid nanoliquid flow caused by an elastic curved surface is investigated in the present article. To examine the effects of frictional heating on entropy generation, the energy dissipation function is included in the energy equation. The Tiwari and Dass mod...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514272/ http://dx.doi.org/10.3390/e21100941 |
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author | Afridi, Muhammad Idrees Alkanhal, Tawfeeq Abdullah Qasim, Muhammad Tlili, Iskander |
author_facet | Afridi, Muhammad Idrees Alkanhal, Tawfeeq Abdullah Qasim, Muhammad Tlili, Iskander |
author_sort | Afridi, Muhammad Idrees |
collection | PubMed |
description | Heat transfer and entropy generation in a hybrid nanoliquid flow caused by an elastic curved surface is investigated in the present article. To examine the effects of frictional heating on entropy generation, the energy dissipation function is included in the energy equation. The Tiwari and Dass model for nanofluid is used by taking water as a base fluid. A new class of nanofluid (hybrid nanofluid) with two kinds of nanoparticles, Copper (Cu) and Aluminum oxide (Al(2)O(3)), is considered. Curvilinear coordinates are used in the mathematical formulation due to the curved nature of the solid boundary. By utilizing similarity transformations, the modelled partial differential equations are converted into ordinary differential equations. Shooting and the Runge-Kutta-Fehlberg method (FRKM) have been used to solve the transformed set of non-linear differential equations. The expression for entropy generation is derived in curvilinear coordinates and computed by using the numerical results obtained from dimensionless momentum and energy equations. Comparisons of our numerical results and those published in the previous literature demonstrate excellent agreements, validating our numerical simulation. In addition, we have also conducted parametric studies and find that entropy generation and temperature suppress with increasing values of dimensionless radius of curvature. Furthermore, it is found that less entropy is generated in regular nanofluid as compare to hybrid nanofluid. To examine the influences of a set of embedding physical parameters on quantities of interest, different graphs are plotted and discussed. |
format | Online Article Text |
id | pubmed-7514272 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75142722020-11-09 Entropy Generation in Cu-Al(2)O(3)-H(2)O Hybrid Nanofluid Flow over a Curved Surface with Thermal Dissipation Afridi, Muhammad Idrees Alkanhal, Tawfeeq Abdullah Qasim, Muhammad Tlili, Iskander Entropy (Basel) Article Heat transfer and entropy generation in a hybrid nanoliquid flow caused by an elastic curved surface is investigated in the present article. To examine the effects of frictional heating on entropy generation, the energy dissipation function is included in the energy equation. The Tiwari and Dass model for nanofluid is used by taking water as a base fluid. A new class of nanofluid (hybrid nanofluid) with two kinds of nanoparticles, Copper (Cu) and Aluminum oxide (Al(2)O(3)), is considered. Curvilinear coordinates are used in the mathematical formulation due to the curved nature of the solid boundary. By utilizing similarity transformations, the modelled partial differential equations are converted into ordinary differential equations. Shooting and the Runge-Kutta-Fehlberg method (FRKM) have been used to solve the transformed set of non-linear differential equations. The expression for entropy generation is derived in curvilinear coordinates and computed by using the numerical results obtained from dimensionless momentum and energy equations. Comparisons of our numerical results and those published in the previous literature demonstrate excellent agreements, validating our numerical simulation. In addition, we have also conducted parametric studies and find that entropy generation and temperature suppress with increasing values of dimensionless radius of curvature. Furthermore, it is found that less entropy is generated in regular nanofluid as compare to hybrid nanofluid. To examine the influences of a set of embedding physical parameters on quantities of interest, different graphs are plotted and discussed. MDPI 2019-09-26 /pmc/articles/PMC7514272/ http://dx.doi.org/10.3390/e21100941 Text en © 2019 by the authors. 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 (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Afridi, Muhammad Idrees Alkanhal, Tawfeeq Abdullah Qasim, Muhammad Tlili, Iskander Entropy Generation in Cu-Al(2)O(3)-H(2)O Hybrid Nanofluid Flow over a Curved Surface with Thermal Dissipation |
title | Entropy Generation in Cu-Al(2)O(3)-H(2)O Hybrid Nanofluid Flow over a Curved Surface with Thermal Dissipation |
title_full | Entropy Generation in Cu-Al(2)O(3)-H(2)O Hybrid Nanofluid Flow over a Curved Surface with Thermal Dissipation |
title_fullStr | Entropy Generation in Cu-Al(2)O(3)-H(2)O Hybrid Nanofluid Flow over a Curved Surface with Thermal Dissipation |
title_full_unstemmed | Entropy Generation in Cu-Al(2)O(3)-H(2)O Hybrid Nanofluid Flow over a Curved Surface with Thermal Dissipation |
title_short | Entropy Generation in Cu-Al(2)O(3)-H(2)O Hybrid Nanofluid Flow over a Curved Surface with Thermal Dissipation |
title_sort | entropy generation in cu-al(2)o(3)-h(2)o hybrid nanofluid flow over a curved surface with thermal dissipation |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514272/ http://dx.doi.org/10.3390/e21100941 |
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