Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model past an Unsteady Stretching Sheet

Entropy generation plays a significant role in several complex processes, extending from cosmology to biology. The entropy generation minimization procedure can be applied for the optimization of mechanical systems including heat exchangers, elements of nuclear and thermal power plants, ventilation...

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Main Authors: Zahir Shah, Ebraheem O. Alzahrani, Abdullah Dawar, Wajdi Alghamdi, Malik Zaka Ullah
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Applied Sciences
Subjects:
MHD
Online Access:https://www.mdpi.com/2076-3417/10/8/2720
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spelling doaj-5600bfc311c146b7a64422b86ac225642020-11-25T02:53:18ZengMDPI AGApplied Sciences2076-34172020-04-01102720272010.3390/app10082720Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model past an Unsteady Stretching SheetZahir Shah0Ebraheem O. Alzahrani1Abdullah Dawar2Wajdi Alghamdi3Malik Zaka Ullah4Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics Abdul Wali Khan University Mardan, 23200, Mardan, PakistanDepartment of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, P. O. Box 80221, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaEntropy generation plays a significant role in several complex processes, extending from cosmology to biology. The entropy generation minimization procedure can be applied for the optimization of mechanical systems including heat exchangers, elements of nuclear and thermal power plants, ventilation and air-conditioning systems. In order to present our analysis, entropy generation in a thin film flow of second grade nanofluid holding single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) with a Cattaneo–Christov heat flux model is studied in this article. The flow is considered passing a linearly extending surface. A variable magnetic field with aligned angle is functioned along the extending sheet. With the aid of the homotopy analysis method (HAM), the fluid flow model is elucidated. The impressions of embedded factors on the flow are obtainable through figures and discussed in detail. It is observed that the velocity profile escalated with the increasing values of volume fraction of nanoparticles and second grade fluid parameter. The higher values of volume fraction of nanoparticles, second grade fluid parameter, non-linear heat source/sink, and thermal radiation parameter intensified the temperature profile. Surface drag force escalated with heightening values of nanoparticles volume fraction, unsteadiness, film thickness, magnetic, and second grade fluid parameters. Entropy generation increased with enhancing values of magnetic parameter, Brinkman number, and Reynolds number.https://www.mdpi.com/2076-3417/10/8/2720entropy generationMHDsecond-grade nanofluidthin filmcarbon nanotubesCattaneo–Christov heat flux model
collection DOAJ
language English
format Article
sources DOAJ
author Zahir Shah
Ebraheem O. Alzahrani
Abdullah Dawar
Wajdi Alghamdi
Malik Zaka Ullah
spellingShingle Zahir Shah
Ebraheem O. Alzahrani
Abdullah Dawar
Wajdi Alghamdi
Malik Zaka Ullah
Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model past an Unsteady Stretching Sheet
Applied Sciences
entropy generation
MHD
second-grade nanofluid
thin film
carbon nanotubes
Cattaneo–Christov heat flux model
author_facet Zahir Shah
Ebraheem O. Alzahrani
Abdullah Dawar
Wajdi Alghamdi
Malik Zaka Ullah
author_sort Zahir Shah
title Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model past an Unsteady Stretching Sheet
title_short Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model past an Unsteady Stretching Sheet
title_full Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model past an Unsteady Stretching Sheet
title_fullStr Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model past an Unsteady Stretching Sheet
title_full_unstemmed Entropy Generation in MHD Second-Grade Nanofluid Thin Film Flow Containing CNTs with Cattaneo-Christov Heat Flux Model past an Unsteady Stretching Sheet
title_sort entropy generation in mhd second-grade nanofluid thin film flow containing cnts with cattaneo-christov heat flux model past an unsteady stretching sheet
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-04-01
description Entropy generation plays a significant role in several complex processes, extending from cosmology to biology. The entropy generation minimization procedure can be applied for the optimization of mechanical systems including heat exchangers, elements of nuclear and thermal power plants, ventilation and air-conditioning systems. In order to present our analysis, entropy generation in a thin film flow of second grade nanofluid holding single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) with a Cattaneo–Christov heat flux model is studied in this article. The flow is considered passing a linearly extending surface. A variable magnetic field with aligned angle is functioned along the extending sheet. With the aid of the homotopy analysis method (HAM), the fluid flow model is elucidated. The impressions of embedded factors on the flow are obtainable through figures and discussed in detail. It is observed that the velocity profile escalated with the increasing values of volume fraction of nanoparticles and second grade fluid parameter. The higher values of volume fraction of nanoparticles, second grade fluid parameter, non-linear heat source/sink, and thermal radiation parameter intensified the temperature profile. Surface drag force escalated with heightening values of nanoparticles volume fraction, unsteadiness, film thickness, magnetic, and second grade fluid parameters. Entropy generation increased with enhancing values of magnetic parameter, Brinkman number, and Reynolds number.
topic entropy generation
MHD
second-grade nanofluid
thin film
carbon nanotubes
Cattaneo–Christov heat flux model
url https://www.mdpi.com/2076-3417/10/8/2720
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