Fractional simulations for thermal flow of hybrid nanofluid with aluminum oxide and titanium oxide nanoparticles with water and blood base fluids

The fractional model has been developed for the thermal flow of hybrid nanofluid due to the inclined surface. The thermal investigation of the hybrid nanomaterial is predicted by utilizing the molybdenum disulphide nanoparticles and graphene oxide nanomaterials. The flow computations for mixed conve...

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Main Authors: Khan Muhammad Ijaz, Mansir Ibrahim B., Raza Ali, Khan Sami Ullah, Elattar Samia, Said Hanaa Mohamed, Tlili Iskander, Alharbi Khalid Abdulkhaliq M., Galal Ahmed M.
Format: Article
Language:English
Published: De Gruyter 2022-08-01
Series:Nanotechnology Reviews
Subjects:
Online Access:https://doi.org/10.1515/ntrev-2022-0156
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author Khan Muhammad Ijaz
Mansir Ibrahim B.
Raza Ali
Khan Sami Ullah
Elattar Samia
Said Hanaa Mohamed
Tlili Iskander
Alharbi Khalid Abdulkhaliq M.
Galal Ahmed M.
author_facet Khan Muhammad Ijaz
Mansir Ibrahim B.
Raza Ali
Khan Sami Ullah
Elattar Samia
Said Hanaa Mohamed
Tlili Iskander
Alharbi Khalid Abdulkhaliq M.
Galal Ahmed M.
author_sort Khan Muhammad Ijaz
collection DOAJ
description The fractional model has been developed for the thermal flow of hybrid nanofluid due to the inclined surface. The thermal investigation of the hybrid nanomaterial is predicted by utilizing the molybdenum disulphide nanoparticles and graphene oxide nanomaterials. The flow computations for mixed convection flow of nanoparticles and base fluids are performed due to vertical oscillating plate. The simulations for the formulated model have been done ρ-Laplace transform technique for Caputo fractional simulations. Definitions of Mittage–Leffler function and ρ-Laplace transform are also presented for the governing model. The application of updated definitions of ρ-Laplace transform for the Caputo fractional model is quite interesting unlike traditional Laplace transforms. The comparative investigation for both types of nanoparticles is performed for heat and mass transfer rates. It is observed that the heat enhancement rate due to water-based nanoparticles is relatively impressive compared to the kerosene oil-based nanomaterials.
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spelling doaj.art-38afbb3e479f423585be50e9de15f2022023-01-19T13:47:24ZengDe GruyterNanotechnology Reviews2191-90972022-08-011112757276710.1515/ntrev-2022-0156Fractional simulations for thermal flow of hybrid nanofluid with aluminum oxide and titanium oxide nanoparticles with water and blood base fluidsKhan Muhammad Ijaz0Mansir Ibrahim B.1Raza Ali2Khan Sami Ullah3Elattar Samia4Said Hanaa Mohamed5Tlili Iskander6Alharbi Khalid Abdulkhaliq M.7Galal Ahmed M.8Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, PakistanMechanical Engineering Department, College of Engineering, Prince Sattam bin Abdulaziz University, Alkharj 16273, Saudi ArabiaDepartment of Mathematics, University of Engineering and Technology, Lahore 54890, PakistanDepartment of Mathematics, COMSATS University Islamabad, Sahiwal 57000, PakistanDepartment of Industrial & Systems Engineering, College of Engineering, Princess Nourah bint Abdulrahman University, P.O.Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Business Management/Information System, College of Science and Humanities at Alghat, Majmaah University, Al-Majmaah 11952, Saudi ArabiaPhysics Department, College of Science, Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi ArabiaMechanical Engineering Department, College of Engineering, Umm Al-Qura University, Makkah, Saudi ArabiaProduction Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P.O 35516, Mansoura, EgyptThe fractional model has been developed for the thermal flow of hybrid nanofluid due to the inclined surface. The thermal investigation of the hybrid nanomaterial is predicted by utilizing the molybdenum disulphide nanoparticles and graphene oxide nanomaterials. The flow computations for mixed convection flow of nanoparticles and base fluids are performed due to vertical oscillating plate. The simulations for the formulated model have been done ρ-Laplace transform technique for Caputo fractional simulations. Definitions of Mittage–Leffler function and ρ-Laplace transform are also presented for the governing model. The application of updated definitions of ρ-Laplace transform for the Caputo fractional model is quite interesting unlike traditional Laplace transforms. The comparative investigation for both types of nanoparticles is performed for heat and mass transfer rates. It is observed that the heat enhancement rate due to water-based nanoparticles is relatively impressive compared to the kerosene oil-based nanomaterials.https://doi.org/10.1515/ntrev-2022-0156fractional derivativeshybrid nanofluidcaputo fractional modelmittag–leffler function
spellingShingle Khan Muhammad Ijaz
Mansir Ibrahim B.
Raza Ali
Khan Sami Ullah
Elattar Samia
Said Hanaa Mohamed
Tlili Iskander
Alharbi Khalid Abdulkhaliq M.
Galal Ahmed M.
Fractional simulations for thermal flow of hybrid nanofluid with aluminum oxide and titanium oxide nanoparticles with water and blood base fluids
Nanotechnology Reviews
fractional derivatives
hybrid nanofluid
caputo fractional model
mittag–leffler function
title Fractional simulations for thermal flow of hybrid nanofluid with aluminum oxide and titanium oxide nanoparticles with water and blood base fluids
title_full Fractional simulations for thermal flow of hybrid nanofluid with aluminum oxide and titanium oxide nanoparticles with water and blood base fluids
title_fullStr Fractional simulations for thermal flow of hybrid nanofluid with aluminum oxide and titanium oxide nanoparticles with water and blood base fluids
title_full_unstemmed Fractional simulations for thermal flow of hybrid nanofluid with aluminum oxide and titanium oxide nanoparticles with water and blood base fluids
title_short Fractional simulations for thermal flow of hybrid nanofluid with aluminum oxide and titanium oxide nanoparticles with water and blood base fluids
title_sort fractional simulations for thermal flow of hybrid nanofluid with aluminum oxide and titanium oxide nanoparticles with water and blood base fluids
topic fractional derivatives
hybrid nanofluid
caputo fractional model
mittag–leffler function
url https://doi.org/10.1515/ntrev-2022-0156
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