A neural network-based programming paradigm for heat transport of Eyring-Powell fluid with physiological blood flow applications

Complex cilia waves have diverse applications in physiological flow transport across various biological systems. This study presents a novel investigation into the effects of electroosmosis in a non-uniform channel lined with cilia for an Eyring-Powell model fluid. The objective is to examine how fl...

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Main Authors: Abaker A. Hassaballa, Ali Imran, Ines Hilali Jaghdam, Jongsuk Ro
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Case Studies in Thermal Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X25006872
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author Abaker A. Hassaballa
Ali Imran
Ines Hilali Jaghdam
Jongsuk Ro
author_facet Abaker A. Hassaballa
Ali Imran
Ines Hilali Jaghdam
Jongsuk Ro
author_sort Abaker A. Hassaballa
collection DOAJ
description Complex cilia waves have diverse applications in physiological flow transport across various biological systems. This study presents a novel investigation into the effects of electroosmosis in a non-uniform channel lined with cilia for an Eyring-Powell model fluid. The objective is to examine how fluid transport is influenced in a non-uniform microchannel. Fluid transport characteristics are analyzed within a micro-ciliated channel by applying velocity and thermal slip boundary conditions under the influence of an electric field. Biological fluid flow is modeled using the relevant equations of motion, which are further simplified through low Reynolds number and long wavelength approximations. The physical fluid flow is solved using the bvp5c technique in MATLAB, and the computational scheme's validity is confirmed through artificial neural network (ANN) modeling. Stability analysis is conducted on the bvp5c solution, which is essential for verifying the numerical solution of the boundary value problem. A significant increase in biological fluid transport is observed with the slip parameter, while flow is suppressed by the Helmholtz-Smoluchowski velocity parameter. The temperature of fluid particles increases with the Brinkman number, thermal slip, and electroosmotic parameter but decreases with the thermal conductivity parameter and the Helmholtz-Smoluchowski velocity parameter. Diffusion phenomena are enhanced by the thermal conductivity and Helmholtz-Smoluchowski velocity parameters but are reduced by the concentration slip parameter and electroosmosis. The findings of this investigation may be instrumental in understanding blood transport in small arteries and developing treatments for dysfunctions in such systems.
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spelling doaj-art-6995f85f591e47e3869fcb2f98f0b3de2025-08-20T02:30:54ZengElsevierCase Studies in Thermal Engineering2214-157X2025-08-017210642710.1016/j.csite.2025.106427A neural network-based programming paradigm for heat transport of Eyring-Powell fluid with physiological blood flow applicationsAbaker A. Hassaballa0Ali Imran1Ines Hilali Jaghdam2Jongsuk Ro3Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia; Department of Mathematics, Faculty of Science, Northern Border University, Arar, 73213, Saudi ArabiaDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Kamra Road Attock, PakistanDepartment of Computer Science and Information Technology, Applied College, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaSchool of Electrical and Electronics Engineering, Chung-Ang University, Dongjak-gu, Seoul, 06974, Republic of Korea; Department of Intelligent Energy and Industry, Chung-Ang University, Dongjak-gu, Seoul, 06974, Republic of Korea; Corresponding author. School of Electrical and Electronics Engineering, Chung-Ang University, Dongjak-gu, Seoul, 06974, Republic of Korea.Complex cilia waves have diverse applications in physiological flow transport across various biological systems. This study presents a novel investigation into the effects of electroosmosis in a non-uniform channel lined with cilia for an Eyring-Powell model fluid. The objective is to examine how fluid transport is influenced in a non-uniform microchannel. Fluid transport characteristics are analyzed within a micro-ciliated channel by applying velocity and thermal slip boundary conditions under the influence of an electric field. Biological fluid flow is modeled using the relevant equations of motion, which are further simplified through low Reynolds number and long wavelength approximations. The physical fluid flow is solved using the bvp5c technique in MATLAB, and the computational scheme's validity is confirmed through artificial neural network (ANN) modeling. Stability analysis is conducted on the bvp5c solution, which is essential for verifying the numerical solution of the boundary value problem. A significant increase in biological fluid transport is observed with the slip parameter, while flow is suppressed by the Helmholtz-Smoluchowski velocity parameter. The temperature of fluid particles increases with the Brinkman number, thermal slip, and electroosmotic parameter but decreases with the thermal conductivity parameter and the Helmholtz-Smoluchowski velocity parameter. Diffusion phenomena are enhanced by the thermal conductivity and Helmholtz-Smoluchowski velocity parameters but are reduced by the concentration slip parameter and electroosmosis. The findings of this investigation may be instrumental in understanding blood transport in small arteries and developing treatments for dysfunctions in such systems.http://www.sciencedirect.com/science/article/pii/S2214157X25006872Eyring powell fluidComplex cilia waveThermal slipbvp5c techniqueLevenberg-marquardt back propagationStability analysis
spellingShingle Abaker A. Hassaballa
Ali Imran
Ines Hilali Jaghdam
Jongsuk Ro
A neural network-based programming paradigm for heat transport of Eyring-Powell fluid with physiological blood flow applications
Case Studies in Thermal Engineering
Eyring powell fluid
Complex cilia wave
Thermal slip
bvp5c technique
Levenberg-marquardt back propagation
Stability analysis
title A neural network-based programming paradigm for heat transport of Eyring-Powell fluid with physiological blood flow applications
title_full A neural network-based programming paradigm for heat transport of Eyring-Powell fluid with physiological blood flow applications
title_fullStr A neural network-based programming paradigm for heat transport of Eyring-Powell fluid with physiological blood flow applications
title_full_unstemmed A neural network-based programming paradigm for heat transport of Eyring-Powell fluid with physiological blood flow applications
title_short A neural network-based programming paradigm for heat transport of Eyring-Powell fluid with physiological blood flow applications
title_sort neural network based programming paradigm for heat transport of eyring powell fluid with physiological blood flow applications
topic Eyring powell fluid
Complex cilia wave
Thermal slip
bvp5c technique
Levenberg-marquardt back propagation
Stability analysis
url http://www.sciencedirect.com/science/article/pii/S2214157X25006872
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