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Thermal analysis of fins operating with hybrid nanofluids under non-linear thermal properties: legendre wavelet based approach

delete2026-08-13
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PRE
AI
K
Kanwalpreet Kaur
S
Surjan Singh *
DOI:10.1007/s10999-026-09959-5delete
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Abstract

Abstract

En 中文
Extended surfaces are widely employed in thermal engineering applications to augment heat transfer and improve the efficiency of compact thermal systems. However, their performance is limited due to single-particle nano fluids and basic thermal assumptions. The use of hybrid nano fluids ensuring to overcome these limitations due to enhanced thermo-physical properties. Despite this, most existing fin studies overlook the combined influence of realistic non-linear effects when hybrid nano fluids are used. In this particular study, a unified non-linear mathematical model is developed to investigate heat transfer in four different fin geometries along with hybrid nano fluids. Furthermore, this model incorporates size-dependent thermal conductivity, non-linear internal heat generation, and wavelength-dependent surface emissivity within a single framework that addresses gaps in existing studies. The non-linear governing equations are tackled using the Legendre Wavelet Collocation Method (LWCM). The outcomes are validated with the exact solution showing good agreement. In contrast, temperature is decreasing as a rise in size-dependent thermal conductivity and the surface emissivity. Moreover, the rate of heat dissipation increased when non-linear internal heat generation increases in magnitude. The influence of $$N_{cc}$$ and $$K_n$$ on fin efficiency $$\eta _f$$ obtained using $$\theta _s$$ provide useful insight for improving fin performance.
Keywords:
Fin
Heat and fluid flow
Nanofluid
Hybrid nanofluid
Wavelet, Collocation points

Journal

International Journal of Mechanics and Materials in Design cover
International Journal of Mechanics and Materials in Design
IF:
3.6
Papers:
215
Citations:
1.5K

Organization

D
department of mathematics
Scholars:
573
Papers: 325
Citations: 0
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