Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect

The flow of the hybrid nanofluid (copper–titanium dioxide/water) over a nonlinearly stretching surface was studied with suction and radiation effect. The governing partial differential equations were then converted into non-linear ordinary differential equations by using proper similarity transforma...

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Main Authors: Emad H. Aly, Alin V. Roşca, Natalia C. Roşca, Ioan Pop
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/18/2220
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author Emad H. Aly
Alin V. Roşca
Natalia C. Roşca
Ioan Pop
author_facet Emad H. Aly
Alin V. Roşca
Natalia C. Roşca
Ioan Pop
author_sort Emad H. Aly
collection DOAJ
description The flow of the hybrid nanofluid (copper–titanium dioxide/water) over a nonlinearly stretching surface was studied with suction and radiation effect. The governing partial differential equations were then converted into non-linear ordinary differential equations by using proper similarity transformations. Therefore, these equations were solved by applying a numerical technique, namely Chebyshev pseudo spectral differentiation matrix. The results of the flow field, temperature distribution, reduced skin friction coefficient and reduced Nusselt number were deduced. It was found that the rising of the mass flux parameter slows down the velocity and, hence, decreases the temperature. Further, on enlarging the stretching parameter, the velocity and temperature increases and decreases, respectively. In addition, it was mentioned that the radiation parameter can effectively control the thermal boundary layer. Finally, the temperature decreases when the values of the temperature parameter increases.
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spelling doaj.art-cef37e0fcf8a40ae871168ebba1468492023-11-22T14:05:07ZengMDPI AGMathematics2227-73902021-09-01918222010.3390/math9182220Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation EffectEmad H. Aly0Alin V. Roşca1Natalia C. Roşca2Ioan Pop3Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, EgyptDepartment of Statistics-Forecasts Mathematics, Faculty of Economics and Business Administration, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaDepartment of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaDepartment of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaThe flow of the hybrid nanofluid (copper–titanium dioxide/water) over a nonlinearly stretching surface was studied with suction and radiation effect. The governing partial differential equations were then converted into non-linear ordinary differential equations by using proper similarity transformations. Therefore, these equations were solved by applying a numerical technique, namely Chebyshev pseudo spectral differentiation matrix. The results of the flow field, temperature distribution, reduced skin friction coefficient and reduced Nusselt number were deduced. It was found that the rising of the mass flux parameter slows down the velocity and, hence, decreases the temperature. Further, on enlarging the stretching parameter, the velocity and temperature increases and decreases, respectively. In addition, it was mentioned that the radiation parameter can effectively control the thermal boundary layer. Finally, the temperature decreases when the values of the temperature parameter increases.https://www.mdpi.com/2227-7390/9/18/2220wall jethybrid nanofluidradiationsurface temperaturenumerical solution
spellingShingle Emad H. Aly
Alin V. Roşca
Natalia C. Roşca
Ioan Pop
Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect
Mathematics
wall jet
hybrid nanofluid
radiation
surface temperature
numerical solution
title Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect
title_full Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect
title_fullStr Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect
title_full_unstemmed Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect
title_short Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect
title_sort convective heat transfer of a hybrid nanofluid over a nonlinearly stretching surface with radiation effect
topic wall jet
hybrid nanofluid
radiation
surface temperature
numerical solution
url https://www.mdpi.com/2227-7390/9/18/2220
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