Exploring the impact of Schmidt number and fractional operator on free convection flow of fluid with ANN approach

In this paper, it has been studied the fractional model of the second grade fluid holding hybrid nanoparticles. Diamond ( Tio 2 ) and ( Co 3 O 4 ) nanoparticles were liquefied with propylene glycol ( C 3 H 8 O 2 ) (base fluid) to make a hybrid nanofluid. This study applies the fractional derivative to the flow of nanofluid with combined effects of mass and thermal diffusion, chemical reaction, exothermic reactions, thermo diffusion, and porous media. The governing equations of the model are transformed into ordinary differential equations via Laplace technique. The algorithm of Levenberg-Marquardt is applied to train the data 70% whereas, 15% data is for validation and testing for ANN approach. Results indicates that velocity and temperature of fluid are accelerated with decreasing vales of fractional operator, Numerical and graphical assessment gave the effectiveness of the flow model.

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Publication Details

Journal
Proceedings of the Institution of Mechanical Engineers Part N Journal of Nanomaterials Nanoengineering and Nanosystems
Published
2025-07-16
DOI
https://doi.org/10.1177/23977914251347837
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

Exploring the impact of Schmidt number and fractional operator on free convection flow of fluid with ANN approach

Dana Mohammad Khidhir, Muhammad Ramzan, Shajar Abbas, Ibrahim Mahariq et al.
Proceedings of the Institution of Mechanical Engineers Part N Journal of Nanomaterials Nanoengineering and Nanosystems
Fractional Differential Equations Solutions
article

Exploring the impact of Schmidt number and fractional operator on free convection flow of fluid with ANN approach

Dana Mohammad Khidhir, Muhammad Ramzan, Shajar Abbas, Ibrahim Mahariq, Hakim AL Garalleh, Afnan Al Agha, Dilsora Abduvalieva, Abdul Hakim Hotak
article en

Abstract

In this paper, it has been studied the fractional model of the second grade fluid holding hybrid nanoparticles. Diamond ( Tio 2 ) and ( Co 3 O 4 ) nanoparticles were liquefied with propylene glycol ( C 3 H 8 O 2 ) (base fluid) to make a hybrid nanofluid. This study applies the fractional derivative to the flow of nanofluid with combined effects of mass and thermal diffusion, chemical reaction, exothermic reactions, thermo diffusion, and porous media. The governing equations of the model are transformed into ordinary differential equations via Laplace technique. The algorithm of Levenberg-Marquardt is applied to train the data 70% whereas, 15% data is for validation and testing for ANN approach. Results indicates that velocity and temperature of fluid are accelerated with decreasing vales of fractional operator, Numerical and graphical assessment gave the effectiveness of the flow model.

Proceedings of the Institution of Mechanical Engineers Part N Journal of Nanomaterials Nanoengineering and Nanosystems
Bahauddin Zakariya University (PK), Ayub Medical College (PK), Applied Science Private University (JO), Tianjin University (CN), Gulf University for Science & Technology (KW), Ayub Agriculture Research Institute (PK), National Pedagogical University of Uzbekistan named after Nizami (UZ), University of Business and Technology (SA), Saveetha University (IN)
Openalex Percentile: Top 79%
Fractional Differential Equations Solutions
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