The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery

This research work aims to scrutinize the mathematical model for the hybrid nanofluid flow in a converging and diverging channel. Titanium dioxide and silver <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow>...

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Autores principales: Anwar Saeed, Niqab Khan, Taza Gul, Wiyada Kumam, Wajdi Alghamdi, Poom Kumam
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:245b9ddaae314e0999086075c87808542021-11-11T18:21:54ZThe Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery10.3390/molecules262163301420-3049https://doaj.org/article/245b9ddaae314e0999086075c87808542021-10-01T00:00:00Zhttps://www.mdpi.com/1420-3049/26/21/6330https://doaj.org/toc/1420-3049This research work aims to scrutinize the mathematical model for the hybrid nanofluid flow in a converging and diverging channel. Titanium dioxide and silver <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfenced><mrow><mi>T</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub><mo> </mo><mi>and</mi><mo> </mo><mi>A</mi><mi>g</mi></mrow></mfenced></mrow></semantics></math></inline-formula> are considered as solid nanoparticles while blood is considered a base solvent. The couple-stress fluid model is essentially use to describe the blood flow. Therefore, the couple-stress term was used in the recent study with the existence of a magnetic field and a Darcy–Forchheiner porous medium. The heat absorption/omission and radiation terms were also included in the energy equation for the sustainability of drug delivery. An endeavor was made to link the recent study with the applications of drug delivery. It has already been revealed by the available literature that the combination of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> with any other metal can destroy cancer cells more effectively than <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> separately. Both the walls are stretchable/shrinkable, whereas flow is caused by a source or sink with α as a converging/diverging parameter. Governing equations were altered into the system of non-linear coupled equations by using the similarity variables. The homotopy analysis method (HAM) was applied to obtain the preferred solution. The influences of the modeled parameters have been calculated and displayed. The confrontation of wall shear stress and hybrid nanofluid flow increased as the couple stress parameter rose, which indicates an improvement in the stability of the base fluid (blood). The percentage (%) increase in the heat transfer rate with the variation of nanoparticle volume fraction was also calculated numerically and discussed theoretically.Anwar SaeedNiqab KhanTaza GulWiyada KumamWajdi AlghamdiPoom KumamMDPI AGarticlestretchable/shrinkable wallshybrid nanofluiddrug deliverycouple stressesDarcy–Forchheimer modelheat absorption/omission (HAM)Organic chemistryQD241-441ENMolecules, Vol 26, Iss 6330, p 6330 (2021)
institution DOAJ
collection DOAJ
language EN
topic stretchable/shrinkable walls
hybrid nanofluid
drug delivery
couple stresses
Darcy–Forchheimer model
heat absorption/omission (HAM)
Organic chemistry
QD241-441
spellingShingle stretchable/shrinkable walls
hybrid nanofluid
drug delivery
couple stresses
Darcy–Forchheimer model
heat absorption/omission (HAM)
Organic chemistry
QD241-441
Anwar Saeed
Niqab Khan
Taza Gul
Wiyada Kumam
Wajdi Alghamdi
Poom Kumam
The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery
description This research work aims to scrutinize the mathematical model for the hybrid nanofluid flow in a converging and diverging channel. Titanium dioxide and silver <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfenced><mrow><mi>T</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub><mo> </mo><mi>and</mi><mo> </mo><mi>A</mi><mi>g</mi></mrow></mfenced></mrow></semantics></math></inline-formula> are considered as solid nanoparticles while blood is considered a base solvent. The couple-stress fluid model is essentially use to describe the blood flow. Therefore, the couple-stress term was used in the recent study with the existence of a magnetic field and a Darcy–Forchheiner porous medium. The heat absorption/omission and radiation terms were also included in the energy equation for the sustainability of drug delivery. An endeavor was made to link the recent study with the applications of drug delivery. It has already been revealed by the available literature that the combination of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> with any other metal can destroy cancer cells more effectively than <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> separately. Both the walls are stretchable/shrinkable, whereas flow is caused by a source or sink with α as a converging/diverging parameter. Governing equations were altered into the system of non-linear coupled equations by using the similarity variables. The homotopy analysis method (HAM) was applied to obtain the preferred solution. The influences of the modeled parameters have been calculated and displayed. The confrontation of wall shear stress and hybrid nanofluid flow increased as the couple stress parameter rose, which indicates an improvement in the stability of the base fluid (blood). The percentage (%) increase in the heat transfer rate with the variation of nanoparticle volume fraction was also calculated numerically and discussed theoretically.
format article
author Anwar Saeed
Niqab Khan
Taza Gul
Wiyada Kumam
Wajdi Alghamdi
Poom Kumam
author_facet Anwar Saeed
Niqab Khan
Taza Gul
Wiyada Kumam
Wajdi Alghamdi
Poom Kumam
author_sort Anwar Saeed
title The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery
title_short The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery
title_full The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery
title_fullStr The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery
title_full_unstemmed The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery
title_sort flow of blood-based hybrid nanofluids with couple stresses by the convergent and divergent channel for the applications of drug delivery
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/245b9ddaae314e0999086075c8780854
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