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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MDPI AG
2021-09-01
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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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