Neural network architecture for magnetized hybrid nanofluids with heat generation, absorption, and velocity slip

Abstract When compared to regular nanofluids (NFs), fluids such as hybrid NFs (HNFs) show remarkable potential due to their excellent thermal behavior and thermophysical features. A base fluid is mixed with two distinct nanoparticles to create HNFs. According to numerous academics, traditional coolants, particularly those that function at high temperatures, could take the place of HNFs. These NFs are therefore less harmful to the environment and also result in energy savings. The primary goal of HNFs is to improve heat transfer efficiency, and their benefits have raised relatively optimistic expectations for their use. This study uses neural networks to assess a 2D magnetic HNF while taking into account the impacts of slip velocity, convection, heat production, and absorption . The work especially studies a composite NF consisting of , where water acts as the base fluid, while copper and alumina function as solid nanoparticles. The ability of current composite NFs to improve heat transfer efficiency is recognized. The study employs the Levenberg–Marquardt (LM) scheme within artificial neural networks (ANNs) to assess the impact of multiple factors on velocity and temperature distributions, such as the solid copper volume fraction, heat generation/absorption, magnetohydrodynamics , mixed convection, and velocity slip. Using similarity variables makes it easier to convert non‐linear partial differential equations (PDEs) into non‐linear ordinary differential equations (ODEs). By adjusting various parameters, a three‐step procedure that uses the Lobatto IIIA technique, which produces a variety of datasets for the . Through a multi‐stage method, the proposed model is thoroughly tested, validated, and trained. To confirm its dependability, performance comparisons are done against recognized benchmarks. The efficacy of the proposed model is further validated by regression analysis, mean squared error assessment, and histogram analyses, which demonstrate an exceptional accuracy between and . When compared to other approaches and reference models, this performance sets it apart.

Authors

Institutions

Publication Details

Journal
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Published
2025-04-19
DOI
https://doi.org/10.1002/zamm.70039
Citations
7
Primary Topic
Nanofluid Flow and Heat Transfer
Type
article
Field-Weighted Citation Impact
4.72

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Neural network architecture for magnetized hybrid nanofluids with heat generation, absorption, and velocity slip

Muhammad Shoaib, Kottakkaran Sooppy Nisar, Yasir Iqbal, Qazi Mahmood Ul Hassan et al.
7 citations
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Nanofluid Flow and Heat Transfer
4.72
article

Neural network architecture for magnetized hybrid nanofluids with heat generation, absorption, and velocity slip

Muhammad Shoaib, Kottakkaran Sooppy Nisar, Yasir Iqbal, Qazi Mahmood Ul Hassan, Muhammad Asif Zahoor Raja
article en
7 citations

Abstract

Abstract When compared to regular nanofluids (NFs), fluids such as hybrid NFs (HNFs) show remarkable potential due to their excellent thermal behavior and thermophysical features. A base fluid is mixed with two distinct nanoparticles to create HNFs. According to numerous academics, traditional coolants, particularly those that function at high temperatures, could take the place of HNFs. These NFs are therefore less harmful to the environment and also result in energy savings. The primary goal of HNFs is to improve heat transfer efficiency, and their benefits have raised relatively optimistic expectations for their use. This study uses neural networks to assess a 2D magnetic HNF while taking into account the impacts of slip velocity, convection, heat production, and absorption . The work especially studies a composite NF consisting of , where water acts as the base fluid, while copper and alumina function as solid nanoparticles. The ability of current composite NFs to improve heat transfer efficiency is recognized. The study employs the Levenberg–Marquardt (LM) scheme within artificial neural networks (ANNs) to assess the impact of multiple factors on velocity and temperature distributions, such as the solid copper volume fraction, heat generation/absorption, magnetohydrodynamics , mixed convection, and velocity slip. Using similarity variables makes it easier to convert non‐linear partial differential equations (PDEs) into non‐linear ordinary differential equations (ODEs). By adjusting various parameters, a three‐step procedure that uses the Lobatto IIIA technique, which produces a variety of datasets for the . Through a multi‐stage method, the proposed model is thoroughly tested, validated, and trained. To confirm its dependability, performance comparisons are done against recognized benchmarks. The efficacy of the proposed model is further validated by regression analysis, mean squared error assessment, and histogram analyses, which demonstrate an exceptional accuracy between and . When compared to other approaches and reference models, this performance sets it apart.

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikVol. 105(5)
Al-Ahliyya Amman University (JO), Prince Sattam Bin Abdulaziz University (SA), University of Wah (PK), National Yunlin University of Science and Technology (TW), Yuan Ze University (TW)
Prince Sattam bin Abdulaziz University
Openalex Percentile: Top 5%
Nanofluid Flow and Heat Transfer
4.72
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.