Boundary Layer Flow and Heat Transfer of Al<sub>2</sub>O<sub>3</sub>-TiO<sub>2</sub>/Water Hybrid Nanofluid over a Permeable Moving Plate

Hybrid nanofluid is considered a new type of nanofluid and is further used to increase the heat transfer efficiency. This paper explores the two-dimensional steady axisymmetric boundary layer which contains water (base fluid) and two different nanoparticles to form a hybrid nanofluid over a permeabl...

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Main Authors: Nur Adilah Liyana Aladdin, Norfifah Bachok
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/7/1064
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spelling doaj-5858075bcd06481fa4016d227185ad852020-11-25T03:52:40ZengMDPI AGSymmetry2073-89942020-06-01121064106410.3390/sym12071064Boundary Layer Flow and Heat Transfer of Al<sub>2</sub>O<sub>3</sub>-TiO<sub>2</sub>/Water Hybrid Nanofluid over a Permeable Moving PlateNur Adilah Liyana Aladdin0Norfifah Bachok1Department of Mathematics, Centre for Foundation Defense Studies, Universiti Pertahanan Nasional Malaysia, 57000 Kuala Lumpur, MalaysiaInstitute for Mathematical Research and Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, MalaysiaHybrid nanofluid is considered a new type of nanofluid and is further used to increase the heat transfer efficiency. This paper explores the two-dimensional steady axisymmetric boundary layer which contains water (base fluid) and two different nanoparticles to form a hybrid nanofluid over a permeable moving plate. The plate is suspected to move to the free stream in the similar or opposite direction. Similarity transformation is introduced in order to convert the nonlinear partial differential equation of the governing equation into a system of ordinary differential equations (ODEs). Then, the ODEs are solved using bvp4c in MATLAB 2019a software. The mathematical hybrid nanofluid and boundary conditions under the effect of suction, <i>S</i>, and the concentration of nanoparticles, ϕ1 (Al<sub>2</sub>O<sub>3</sub>) and ϕ2 (TiO<sub>2</sub>) are taken into account. Numerical results are graphically described for the skin friction coefficient, Cf, and local Nusselt number, Nux, as well as velocity and temperature profiles. The results showed that duality occurs when the plate and the free stream travel in the opposite direction. The range of dual solutions expand widely for <i>S </i>and closely reduce for ϕ. Thus, a stability analysis is performed. The first solution is stable and realizable compared to the second solution. The Cf and Nux increase with the increment of <i>S</i>. It is also noted that the increase of ϕ2 leads to an increase in Cf and decrease in Nux.https://www.mdpi.com/2073-8994/12/7/1064Hybrid NanofluidMoving PlateSuctionDualityStability Analysis
collection DOAJ
language English
format Article
sources DOAJ
author Nur Adilah Liyana Aladdin
Norfifah Bachok
spellingShingle Nur Adilah Liyana Aladdin
Norfifah Bachok
Boundary Layer Flow and Heat Transfer of Al<sub>2</sub>O<sub>3</sub>-TiO<sub>2</sub>/Water Hybrid Nanofluid over a Permeable Moving Plate
Symmetry
Hybrid Nanofluid
Moving Plate
Suction
Duality
Stability Analysis
author_facet Nur Adilah Liyana Aladdin
Norfifah Bachok
author_sort Nur Adilah Liyana Aladdin
title Boundary Layer Flow and Heat Transfer of Al<sub>2</sub>O<sub>3</sub>-TiO<sub>2</sub>/Water Hybrid Nanofluid over a Permeable Moving Plate
title_short Boundary Layer Flow and Heat Transfer of Al<sub>2</sub>O<sub>3</sub>-TiO<sub>2</sub>/Water Hybrid Nanofluid over a Permeable Moving Plate
title_full Boundary Layer Flow and Heat Transfer of Al<sub>2</sub>O<sub>3</sub>-TiO<sub>2</sub>/Water Hybrid Nanofluid over a Permeable Moving Plate
title_fullStr Boundary Layer Flow and Heat Transfer of Al<sub>2</sub>O<sub>3</sub>-TiO<sub>2</sub>/Water Hybrid Nanofluid over a Permeable Moving Plate
title_full_unstemmed Boundary Layer Flow and Heat Transfer of Al<sub>2</sub>O<sub>3</sub>-TiO<sub>2</sub>/Water Hybrid Nanofluid over a Permeable Moving Plate
title_sort boundary layer flow and heat transfer of al<sub>2</sub>o<sub>3</sub>-tio<sub>2</sub>/water hybrid nanofluid over a permeable moving plate
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-06-01
description Hybrid nanofluid is considered a new type of nanofluid and is further used to increase the heat transfer efficiency. This paper explores the two-dimensional steady axisymmetric boundary layer which contains water (base fluid) and two different nanoparticles to form a hybrid nanofluid over a permeable moving plate. The plate is suspected to move to the free stream in the similar or opposite direction. Similarity transformation is introduced in order to convert the nonlinear partial differential equation of the governing equation into a system of ordinary differential equations (ODEs). Then, the ODEs are solved using bvp4c in MATLAB 2019a software. The mathematical hybrid nanofluid and boundary conditions under the effect of suction, <i>S</i>, and the concentration of nanoparticles, ϕ1 (Al<sub>2</sub>O<sub>3</sub>) and ϕ2 (TiO<sub>2</sub>) are taken into account. Numerical results are graphically described for the skin friction coefficient, Cf, and local Nusselt number, Nux, as well as velocity and temperature profiles. The results showed that duality occurs when the plate and the free stream travel in the opposite direction. The range of dual solutions expand widely for <i>S </i>and closely reduce for ϕ. Thus, a stability analysis is performed. The first solution is stable and realizable compared to the second solution. The Cf and Nux increase with the increment of <i>S</i>. It is also noted that the increase of ϕ2 leads to an increase in Cf and decrease in Nux.
topic Hybrid Nanofluid
Moving Plate
Suction
Duality
Stability Analysis
url https://www.mdpi.com/2073-8994/12/7/1064
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AT norfifahbachok boundarylayerflowandheattransferofalsub2subosub3subtiosub2subwaterhybridnanofluidoverapermeablemovingplate
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