Analytical Solution of Flat Plate Solar Collector Using Homotopy Perturbation Method

We present a mathematical model of rectangular cross section absorber plate solar collector whose thermal conductivity is power law functions of temperature. The energy equation of rectangular cross section absorber plate solar collector is non-linear type equation and it is solved by Homoptopy Perturbation Method. The results obtained from each equation are validated with the exact analytical solution available in the limiting condition. The effects of various thermo-physical parameters such as Solar heat flux, aspect ratio, Biot number and environmental temperature are analyzed.

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Publication Details

Journal
International Research Journal on Advanced Engineering and Management (IRJAEM)
Published
2025-07-25
DOI
https://doi.org/10.47392/irjaem.2025.0391
Primary Topic
Heat Transfer and Optimization
Type
article
Field-Weighted Citation Impact
0.00
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article

Analytical Solution of Flat Plate Solar Collector Using Homotopy Perturbation Method

Arpan Ghosh, Pranab Kanti Roy
International Research Journal on Advanced Engineering and Management (IRJAEM)
Heat Transfer and Optimization
article

Analytical Solution of Flat Plate Solar Collector Using Homotopy Perturbation Method

Arpan Ghosh, Pranab Kanti Roy
article en

Abstract

We present a mathematical model of rectangular cross section absorber plate solar collector whose thermal conductivity is power law functions of temperature. The energy equation of rectangular cross section absorber plate solar collector is non-linear type equation and it is solved by Homoptopy Perturbation Method. The results obtained from each equation are validated with the exact analytical solution available in the limiting condition. The effects of various thermo-physical parameters such as Solar heat flux, aspect ratio, Biot number and environmental temperature are analyzed.

International Research Journal on Advanced Engineering and Management (IRJAEM)Vol. 3(07)
Qualcomm (United Kingdom) (GB)
Openalex Percentile: Top 81%
Heat Transfer and Optimization
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