Impacts of Freezing Temperature Based Thermal Conductivity on the Heat Transfer Gradient in Nanofluids: Applications for a Curved Riga Surface

The flow of nanofluid over a curved Riga surface is a topic of interest in the field of fluid dynamics. A literature survey revealed that the impacts of freezing temperature and the diameter of nanoparticles on the heat transfer over a curved Riga surface have not been examined so far. Therefore, th...

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Main Authors: Adnan, Syed Zulfiqar Ali Zaidi, Umar Khan, Naveed Ahmed, Syed Tauseef Mohyud-Din, Yu-Ming Chu, Ilyas Khan, Kottakkaran Sooppy Nisar
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Molecules
Subjects:
Online Access:https://www.mdpi.com/1420-3049/25/9/2152
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spelling doaj-ca9d9b1273f3421a88ffae57ecc56cc02020-11-25T03:34:17ZengMDPI AGMolecules1420-30492020-05-01252152215210.3390/molecules25092152Impacts of Freezing Temperature Based Thermal Conductivity on the Heat Transfer Gradient in Nanofluids: Applications for a Curved Riga SurfaceAdnan0Syed Zulfiqar Ali Zaidi1Umar Khan2Naveed Ahmed3Syed Tauseef Mohyud-Din4Yu-Ming Chu5Ilyas Khan6Kottakkaran Sooppy Nisar7Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif AJ&K, Trarkhel 12080, PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22010 PakistanDepartment of Mathematics and Statistics, Hazara University, Mansehra 21120, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt, Taxila 47070, PakistanUniversity of Multan, Multan 60000, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, VietnamDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaThe flow of nanofluid over a curved Riga surface is a topic of interest in the field of fluid dynamics. A literature survey revealed that the impacts of freezing temperature and the diameter of nanoparticles on the heat transfer over a curved Riga surface have not been examined so far. Therefore, the flow of nanoparticles, which comprises the influences of freezing temperature and nanoparticle diameter in the energy equation, was modeled over a curved Riga surface. The model was reduced successfully in the nondimensional version by implementing the feasible similarity transformations and effective models of nanofluids. The coupled nonlinear model was then examined numerically and highlighted the impacts of various flow quantities in the flow regimes and heat transfer, with graphical aid. It was examined that nanofluid velocity dropped by increasing the flow parameters <i>γ</i> and <i>S</i>, and an abrupt decrement occurred at the surface of the Riga sheet. The boundary layer region enhances for larger <i>γ</i>. The temperature distribution was enhanced for a more magnetized nanofluid, and the thermal boundary layer increased with a larger <i>R</i> parameter. The volume fraction of the nanoparticles favors the effective density and dynamic viscosity of the nanofluids. A maximum amount of heat transfer at the surface was observed for a more magnetized nanofluid.https://www.mdpi.com/1420-3049/25/9/2152curved Riga surfaceAl<sub>2</sub>O<sub>3</sub> nanoparticlesthermal conductivityfreezing temperaturecurvatureheat transfer
collection DOAJ
language English
format Article
sources DOAJ
author Adnan
Syed Zulfiqar Ali Zaidi
Umar Khan
Naveed Ahmed
Syed Tauseef Mohyud-Din
Yu-Ming Chu
Ilyas Khan
Kottakkaran Sooppy Nisar
spellingShingle Adnan
Syed Zulfiqar Ali Zaidi
Umar Khan
Naveed Ahmed
Syed Tauseef Mohyud-Din
Yu-Ming Chu
Ilyas Khan
Kottakkaran Sooppy Nisar
Impacts of Freezing Temperature Based Thermal Conductivity on the Heat Transfer Gradient in Nanofluids: Applications for a Curved Riga Surface
Molecules
curved Riga surface
Al<sub>2</sub>O<sub>3</sub> nanoparticles
thermal conductivity
freezing temperature
curvature
heat transfer
author_facet Adnan
Syed Zulfiqar Ali Zaidi
Umar Khan
Naveed Ahmed
Syed Tauseef Mohyud-Din
Yu-Ming Chu
Ilyas Khan
Kottakkaran Sooppy Nisar
author_sort Adnan
title Impacts of Freezing Temperature Based Thermal Conductivity on the Heat Transfer Gradient in Nanofluids: Applications for a Curved Riga Surface
title_short Impacts of Freezing Temperature Based Thermal Conductivity on the Heat Transfer Gradient in Nanofluids: Applications for a Curved Riga Surface
title_full Impacts of Freezing Temperature Based Thermal Conductivity on the Heat Transfer Gradient in Nanofluids: Applications for a Curved Riga Surface
title_fullStr Impacts of Freezing Temperature Based Thermal Conductivity on the Heat Transfer Gradient in Nanofluids: Applications for a Curved Riga Surface
title_full_unstemmed Impacts of Freezing Temperature Based Thermal Conductivity on the Heat Transfer Gradient in Nanofluids: Applications for a Curved Riga Surface
title_sort impacts of freezing temperature based thermal conductivity on the heat transfer gradient in nanofluids: applications for a curved riga surface
publisher MDPI AG
series Molecules
issn 1420-3049
publishDate 2020-05-01
description The flow of nanofluid over a curved Riga surface is a topic of interest in the field of fluid dynamics. A literature survey revealed that the impacts of freezing temperature and the diameter of nanoparticles on the heat transfer over a curved Riga surface have not been examined so far. Therefore, the flow of nanoparticles, which comprises the influences of freezing temperature and nanoparticle diameter in the energy equation, was modeled over a curved Riga surface. The model was reduced successfully in the nondimensional version by implementing the feasible similarity transformations and effective models of nanofluids. The coupled nonlinear model was then examined numerically and highlighted the impacts of various flow quantities in the flow regimes and heat transfer, with graphical aid. It was examined that nanofluid velocity dropped by increasing the flow parameters <i>γ</i> and <i>S</i>, and an abrupt decrement occurred at the surface of the Riga sheet. The boundary layer region enhances for larger <i>γ</i>. The temperature distribution was enhanced for a more magnetized nanofluid, and the thermal boundary layer increased with a larger <i>R</i> parameter. The volume fraction of the nanoparticles favors the effective density and dynamic viscosity of the nanofluids. A maximum amount of heat transfer at the surface was observed for a more magnetized nanofluid.
topic curved Riga surface
Al<sub>2</sub>O<sub>3</sub> nanoparticles
thermal conductivity
freezing temperature
curvature
heat transfer
url https://www.mdpi.com/1420-3049/25/9/2152
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