Advanced neural network modeling with Levenberg–Marquardt algorithm for optimizing tri-hybrid nanofluid dynamics in solar HVAC systems

The performance of photovoltaic (PV)-based heating, ventilation, and air conditioning (HVAC) systems is highly sensitive to operating temperature. To address this, we propose a nanofluid-based thermal cooling model and develop an advanced computational solver using an Artificial Neural Network (ANN)...

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Main Authors: A. Aziz, S.A.H. Shah, H.M.S. Bahaidarah, T. Zamir, T. Aziz
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Case Studies in Thermal Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X2401640X
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author A. Aziz
S.A.H. Shah
H.M.S. Bahaidarah
T. Zamir
T. Aziz
author_facet A. Aziz
S.A.H. Shah
H.M.S. Bahaidarah
T. Zamir
T. Aziz
author_sort A. Aziz
collection DOAJ
description The performance of photovoltaic (PV)-based heating, ventilation, and air conditioning (HVAC) systems is highly sensitive to operating temperature. To address this, we propose a nanofluid-based thermal cooling model and develop an advanced computational solver using an Artificial Neural Network (ANN) trained with the Levenberg–Marquardt algorithm (LMA-TNN). This model analyzes the magnetohydrodynamic (MHD) radiative flow of a rotating Sutterby tri-hybrid nanofluid, incorporating critical factors such as linear thermal radiation, boundary slip, and activation energy. The nonlinear differential equations derived from the physical model are solved using the three-step Lobatto IIIa method, ensuring precision and reliability. Reference data for the LMA-TNN solver are generated for various HVAC scenarios, with a focus on key parameters including Reynolds and Deborah numbers, radiation, temperature slip, and activation energy. The LMA-TNN model is rigorously trained, validated, and tested, achieving high accuracy in predicting numerical solutions for diverse HVAC operating conditions. The model’s performance is evaluated using state transition (ST) index, error histogram (EH), mean squared error, and regression (R) analysis, demonstrating excellent agreement between predicted and reference solutions. The results show an error range of 10−7 to 10−11, confirming the model’s reliability and potential for optimizing PV-based HVAC systems.
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publishDate 2025-01-01
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series Case Studies in Thermal Engineering
spelling doaj-art-1c3ba1d9f2cb4451ae5a725e80e1df1a2025-01-08T04:52:39ZengElsevierCase Studies in Thermal Engineering2214-157X2025-01-0165105609Advanced neural network modeling with Levenberg–Marquardt algorithm for optimizing tri-hybrid nanofluid dynamics in solar HVAC systemsA. Aziz0S.A.H. Shah1H.M.S. Bahaidarah2T. Zamir3T. Aziz4College of Electrical and Mechanical Engineering, National University of Sciences and Technology, Rawalpindi, Pakistan; Corresponding author.College of Electrical and Mechanical Engineering, National University of Sciences and Technology, Rawalpindi, PakistanDepartment of Mechanical Engineering, King Fahd University of Petroleum and Minerals, Saudi Arabia; Interdisciplinary Research Center for Sustainable Energy Systems (IRC-SES), King Fahd University of Petroleum and Minerals, Saudi ArabiaDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, PakistanInterdisciplinary Research Center for Sustainable Energy Systems (IRC-SES), King Fahd University of Petroleum and Minerals, Saudi Arabia; Department of Mathematical Sciences, DCC-KFUPM, King Fahd University of Petroleum and Minerals, Saudi ArabiaThe performance of photovoltaic (PV)-based heating, ventilation, and air conditioning (HVAC) systems is highly sensitive to operating temperature. To address this, we propose a nanofluid-based thermal cooling model and develop an advanced computational solver using an Artificial Neural Network (ANN) trained with the Levenberg–Marquardt algorithm (LMA-TNN). This model analyzes the magnetohydrodynamic (MHD) radiative flow of a rotating Sutterby tri-hybrid nanofluid, incorporating critical factors such as linear thermal radiation, boundary slip, and activation energy. The nonlinear differential equations derived from the physical model are solved using the three-step Lobatto IIIa method, ensuring precision and reliability. Reference data for the LMA-TNN solver are generated for various HVAC scenarios, with a focus on key parameters including Reynolds and Deborah numbers, radiation, temperature slip, and activation energy. The LMA-TNN model is rigorously trained, validated, and tested, achieving high accuracy in predicting numerical solutions for diverse HVAC operating conditions. The model’s performance is evaluated using state transition (ST) index, error histogram (EH), mean squared error, and regression (R) analysis, demonstrating excellent agreement between predicted and reference solutions. The results show an error range of 10−7 to 10−11, confirming the model’s reliability and potential for optimizing PV-based HVAC systems.http://www.sciencedirect.com/science/article/pii/S2214157X2401640XTri-hybrid nanofluidsThermal efficiencyPV-solar HVACLevenberg Marquardt algorithmNeural networksSutterby model
spellingShingle A. Aziz
S.A.H. Shah
H.M.S. Bahaidarah
T. Zamir
T. Aziz
Advanced neural network modeling with Levenberg–Marquardt algorithm for optimizing tri-hybrid nanofluid dynamics in solar HVAC systems
Case Studies in Thermal Engineering
Tri-hybrid nanofluids
Thermal efficiency
PV-solar HVAC
Levenberg Marquardt algorithm
Neural networks
Sutterby model
title Advanced neural network modeling with Levenberg–Marquardt algorithm for optimizing tri-hybrid nanofluid dynamics in solar HVAC systems
title_full Advanced neural network modeling with Levenberg–Marquardt algorithm for optimizing tri-hybrid nanofluid dynamics in solar HVAC systems
title_fullStr Advanced neural network modeling with Levenberg–Marquardt algorithm for optimizing tri-hybrid nanofluid dynamics in solar HVAC systems
title_full_unstemmed Advanced neural network modeling with Levenberg–Marquardt algorithm for optimizing tri-hybrid nanofluid dynamics in solar HVAC systems
title_short Advanced neural network modeling with Levenberg–Marquardt algorithm for optimizing tri-hybrid nanofluid dynamics in solar HVAC systems
title_sort advanced neural network modeling with levenberg marquardt algorithm for optimizing tri hybrid nanofluid dynamics in solar hvac systems
topic Tri-hybrid nanofluids
Thermal efficiency
PV-solar HVAC
Levenberg Marquardt algorithm
Neural networks
Sutterby model
url http://www.sciencedirect.com/science/article/pii/S2214157X2401640X
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