A Critical Review of All Mathematical Models Developed for Solar Air Heater Analysis (2025)

Authors

  • Doan Thi Hong HaiFaculty of Heat and Refrigeration Engineering, Industrial University of Ho Chi Minh City (IUH), Vietnam
  • Nguyen Minh PhuFaculty of Heat and Refrigeration Engineering, Industrial University of Ho Chi Minh City (IUH), Vietnam

DOI:

https://doi.org/10.37934/arfmts.105.1.114

Keywords:

Stationary model, lumped model, transient model, dynamic model, solar air heater

Abstract

In this paper, three mathematical models to predict the air collector temperature are reviewed and analyzed. These three models were drawn from 30 publications between 1980 and 2022. The models include lumped model (model 1), a one-dimensional (1D) steady model (model 2), and 1D unsteady model (model 3). The models are established based on the energy balance of the heat exchanger surfaces and the airflow. Solution techniques for models are presented using a system of linear equations, numerical integral, and finite difference method. The results of the sensitivity analysis of the models indicate that the temperatures of the air exiting the collector are similar. Model 3 considers the thickness of the glass cover, absorber plate, and bottom plate thus having the effect of thermal inertia in the morning and afternoon. The maximum difference of outlet air temperature between models 1 and 2 is 0.18 K. The highest outlet air temperature deviation of 0.77 K between models 1 and 3 occurred at 8 AM. When the thicknesses are negligible, the temperature distribution along the air collector of models 2 and 3 is the same. In other words, model 3 should be used when there is the presence of the thickness of the plates and the glass cover.

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Author Biographies

Doan Thi Hong Hai, Faculty of Heat and Refrigeration Engineering, Industrial University of Ho Chi Minh City (IUH), Vietnam

doanthihonghai@iuh.edu.vn

Nguyen Minh Phu, Faculty of Heat and Refrigeration Engineering, Industrial University of Ho Chi Minh City (IUH), Vietnam

nguyenminhphu@iuh.edu.vn

A Critical Review of All Mathematical Models Developed for Solar Air Heater Analysis (1)

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Published

2023-06-01

How to Cite

Hai, D. T. H., & Phu, N. M. (2023). A Critical Review of All Mathematical Models Developed for Solar Air Heater Analysis. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 105(1), 1–14. https://doi.org/10.37934/arfmts.105.1.114

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Issue

Vol. 105 No. 1: May (2023)

Section

Articles

A Critical Review of All Mathematical Models Developed for Solar Air Heater Analysis (2)

A Critical Review of All Mathematical Models Developed for Solar Air Heater Analysis (3)

A Critical Review of All Mathematical Models Developed for Solar Air Heater Analysis (4)

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