Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles
A nonlocal fractional model of Brinkman type fluid (BTF) containing a hybrid nanostructure was examined. The magnetohydrodynamic (MHD) flow of the hybrid nanofluid was studied using the fractional calculus approach. Hybridized silver (Ag) and Titanium dioxide (TiO2) nanoparticles were dissolved in b...
Saved in:
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2020
|
Subjects: | |
Online Access: | http://eprints.utm.my/id/eprint/88184/1/MuhammadSaqib2020_SymmetricMHDChannelFlowofNonlocalFractional.pdf http://eprints.utm.my/id/eprint/88184/ http://www.dx.doi.org/10.3390/SYM12040663 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
my.utm.88184 |
---|---|
record_format |
eprints |
spelling |
my.utm.881842020-12-15T00:12:57Z http://eprints.utm.my/id/eprint/88184/ Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles Saqib, M Shafie, S. Khan, I. Chu, Y. M. Nisar, K. S. QA Mathematics A nonlocal fractional model of Brinkman type fluid (BTF) containing a hybrid nanostructure was examined. The magnetohydrodynamic (MHD) flow of the hybrid nanofluid was studied using the fractional calculus approach. Hybridized silver (Ag) and Titanium dioxide (TiO2) nanoparticles were dissolved in base fluid water (H2O) to form a hybrid nanofluid. The MHD free convection flow of the nanofluid (Ag-TiO2-H2O) was considered in a microchannel (flow with a bounded domain). The BTF model was generalized using a nonlocal Caputo-Fabrizio fractional operator (CFFO) without a singular kernel of order α with effective thermophysical properties. The governing equations of the model were subjected to physical initial and boundary conditions. The exact solutions for the nonlocal fractional model without a singular kernel were developed via the fractional Laplace transform technique. The fractional solutions were reduced to local solutions by limiting α→1 . To understand the rheological behavior of the fluid, the obtained solutions were numerically computed and plotted on various graphs. Finally, the influence of pertinent parameters was physically studied. It was found that the solutions were general, reliable, realistic and fixable. For the fractional parameter, the velocity and temperature profiles showed a decreasing trend for a constant time. By setting the values of the fractional parameter, excellent agreement between the theoretical and experimental results could be attained. MDPI AG 2020 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/88184/1/MuhammadSaqib2020_SymmetricMHDChannelFlowofNonlocalFractional.pdf Saqib, M and Shafie, S. and Khan, I. and Chu, Y. M. and Nisar, K. S. (2020) Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles. Symmetry, 12 (4). ISSN 2073-8994 http://www.dx.doi.org/10.3390/SYM12040663 DOI: 10.3390/SYM12040663 |
institution |
Universiti Teknologi Malaysia |
building |
UTM Library |
collection |
Institutional Repository |
continent |
Asia |
country |
Malaysia |
content_provider |
Universiti Teknologi Malaysia |
content_source |
UTM Institutional Repository |
url_provider |
http://eprints.utm.my/ |
language |
English |
topic |
QA Mathematics |
spellingShingle |
QA Mathematics Saqib, M Shafie, S. Khan, I. Chu, Y. M. Nisar, K. S. Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles |
description |
A nonlocal fractional model of Brinkman type fluid (BTF) containing a hybrid nanostructure was examined. The magnetohydrodynamic (MHD) flow of the hybrid nanofluid was studied using the fractional calculus approach. Hybridized silver (Ag) and Titanium dioxide (TiO2) nanoparticles were dissolved in base fluid water (H2O) to form a hybrid nanofluid. The MHD free convection flow of the nanofluid (Ag-TiO2-H2O) was considered in a microchannel (flow with a bounded domain). The BTF model was generalized using a nonlocal Caputo-Fabrizio fractional operator (CFFO) without a singular kernel of order α with effective thermophysical properties. The governing equations of the model were subjected to physical initial and boundary conditions. The exact solutions for the nonlocal fractional model without a singular kernel were developed via the fractional Laplace transform technique. The fractional solutions were reduced to local solutions by limiting α→1 . To understand the rheological behavior of the fluid, the obtained solutions were numerically computed and plotted on various graphs. Finally, the influence of pertinent parameters was physically studied. It was found that the solutions were general, reliable, realistic and fixable. For the fractional parameter, the velocity and temperature profiles showed a decreasing trend for a constant time. By setting the values of the fractional parameter, excellent agreement between the theoretical and experimental results could be attained. |
format |
Article |
author |
Saqib, M Shafie, S. Khan, I. Chu, Y. M. Nisar, K. S. |
author_facet |
Saqib, M Shafie, S. Khan, I. Chu, Y. M. Nisar, K. S. |
author_sort |
Saqib, M |
title |
Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles |
title_short |
Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles |
title_full |
Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles |
title_fullStr |
Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles |
title_full_unstemmed |
Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles |
title_sort |
symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles |
publisher |
MDPI AG |
publishDate |
2020 |
url |
http://eprints.utm.my/id/eprint/88184/1/MuhammadSaqib2020_SymmetricMHDChannelFlowofNonlocalFractional.pdf http://eprints.utm.my/id/eprint/88184/ http://www.dx.doi.org/10.3390/SYM12040663 |
_version_ |
1687393537340997632 |
score |
13.18916 |