Simulation of fully developed laminar free convection flow between vertical parallel flat plates

Authors

DOI:

https://doi.org/10.36561/ING.30.16

Keywords:

Heat transfer, Passive ventilation, Solar chimney, CFD

Abstract

This study presents a numerical investigation of laminar free convection between vertical parallel plates with asymmetric uniform wall temperatures. The right wall is maintained at a higher temperature than the left. Fluid enters the channel at a temperature less than or equal to the cooler wall. Using the finite volume method in OpenFOAM v13, the governing equations are solved and validated against classical analytical solutions. A systematic grid convergence study ensures spatial independence. Results show that while the linear temperature profile is accurately captured on coarse grids, the cubic velocity profile requires higher resolution for precision. The findings validate the numerical methodology and offer critical insights into mesh requirements for accurately simulating fully developed natural convection flows in vertical channels.

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References

C. Wang, Y. Wu, C. Hua, X. Zhao, J. Zang, and N. Gao, “Numerical investigation on the influence of geometric parameters on turbulent flow and thermal performance in the roof solar chimney,” Building and Environment, vol. 267, p. 112210, 2025.

A. Vazquez-Ruiz, J. M. A. Navarro, J. F. Hinojosa, and J. P. Xamán, “Effect of the solar roof chimney position on heat transfer in a room,” International Journal of Mechanical Sciences, vol. 209, p. 106700, 2021.

——, “Computational fluid dynamics and experimental analysis of the heat transfer in a room with a roof solar chimney,” Journal of Thermal Science and Engineering Applications, vol. 14, no. 4, p. 041001, 2022.

J. Gong, L. W. Chew, and P. S. Lee, “Shape optimization of high-rise solar chimneys to improve the uniformity of flowrate distribution,” Building and Environment, vol. 243, p. 110650, 2023.

——, “Theoretical model for high-rise solar chimneys and optimum shape for uniform flowrate distribution,” Energy, vol. 298, p. 131358, 2024.

J. Ahmadi, M. Mahdavinejad, and S. Asadi, “Folded double-skin façade (DSF): in-depth evaluation of fold influence on the thermal and flow performance in naturally ventilated channels,” International Journal of Sustainable Energy, vol. 41, no. 4, pp. 382–411, 2022.

Y. Huang, Y. Tao, L. Shi, Q. Liu, Y. Wang, J. Tu, Q. Peng, and C. Cao, “Thermal and ventilation performance of a curved double-skin facade model,” Energy and Buildings, vol. 268, p. 112202, 2022.

F. Pouranian, H. Akbari, and S. M. Hosseinalipour, “Performance assessment of solar chimney coupled with earth-to-air heat exchanger: A passive alternative for an indoor swimming pool ventilation in hot-arid climate,” Applied Energy, vol. 299, p. 117201, 2021.

Q. Wang, G. Zhang, Q. Wu, and L. Shi, “Ventilating aged-care center based on solar chimney: Design and theoretical analysis,” Energy and Buildings, vol. 266, p. 112145, 2022.

Y. Huang, X. Liu, L. Shi, B. Dong, and H. Zhong, “Enhancing solar chimney performance in urban tunnels: Investigating the impact factors through experimental and theoretical model analysis,” Energy, vol. 282, p. 128329, 2023.

B. Zamora, “A review on solar chimneys: from natural convection fundamentals to thermohydraulic best-performance proposals,” Processes, vol. 11, no. 2, p. 386, 2023.

S. P. Melgaard, I. T. Nikolaisson, C. Zhang, H. Johra, and O. K. Larsen, “Double-skin façade simulation with computational fluid dynamics: A review of simulation trends, validation methods and research gaps,” Building Simulation, vol. 16, no. 12, pp. 2307–2331, 2023.

W. Aung, L. Fletcher, and V. Sernas, “Developing laminar free convection between vertical flat plates with asymmetric heating,” International Journal of Heat and Mass Transfer, vol. 15, no. 11, pp. 2293–2308, 1972.

W. Aung, “Fully developed laminar free convection between vertical plates heated asymmetrically,” International Journal of Heat and Mass Transfer, vol. 15, no. 8, pp. 1577–1580, 1972.

W. Aung and G. Worku, “Developing flow and flow reversal in a vertical channel with asymmetric wall temperatures,” ASME Journal of Heat Transfer, vol. 108, no. 2, pp. 299–304, 1986.

N. Anand, S. Kim, and L. Fletcher, “The effect of plate spacing on free convection between heated parallel plates,” ASME Journal of Heat Transfer, vol. 114, no. 2, pp. 515–518, 1992.

V. Terekhov and A. L. Ekaid, “Laminar natural convection between vertical isothermal heated plates with different temperatures,” Journal of Engineering Thermophysics, vol. 20, no. 4, pp. 416–433, 2011.

S. Foroushani, D. Naylor, and J. L. Wright, “Heat transfer correlations for laminar free convection in vertical channels with asymmetrically heated isothermal walls,” Heat Transfer Engineering, vol. 41, p. 5, 2020.

J. Pallares, A. Fabregat, and C. Lei, “Direct numerical simulation of the fully developed turbulent free convection flow in an asymmetrically heated vertical channel,” International Journal of Thermal Sciences, vol. 191, p. 108352, 2023.

A. H. Radwan and M. M. S. Ahmed, “Improving thermal performance and air flow inside the solar chimney by CFD simulation,” MSA Engineering Journal, vol. 2, no. 2, pp. 1245–1277, 2023.

S. Rodriguez Miranda, G. O. Gamboa, M. A. Zamora-Antuñano, N. Farrera-Vázquez, and R. García-García, “CFD evaluation of thermal conditioning in a house of social interest with a solar chimney arrangement in Guanajuato, Mexico,” Processes, vol. 11, no. 4, p. 1286, 2023.

Published

2026-06-17

How to Cite

[1]
H. Espinoza-Roman, “Simulation of fully developed laminar free convection flow between vertical parallel flat plates”, Memoria investig. ing. (Facultad Ing., Univ. Montev.), no. 30, pp. 244–255, Jun. 2026.

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Articles