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Nanofluid natural convection of hot concentric cylinder in oval-shaped porous cavity at different eccentricity

Farooq H. Ali (Mechanical Engineering Department, University of Babylon, Hilla, Iraq and University of Babylon, Hilla, Iraq)
Mushtaq F. Almensoury (University of Al-Qadisiyah, Al Diwaniyah, Iraq)
Atheer Saad Hashim (Al Qasim Green University, Babylon, Iraq)
Qusay Rasheed Al-Amir (Department of Air-Conditioning, Al-Mustaqbal University College, Hillah, Iraq)
Hameed K. Hamzah (University of Babylon, Hilla, Iraq, and)
M. Hatami (Esfarayen University of Technology, Esfarayen, Iran)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 30 April 2024

Issue publication date: 14 May 2024




This paper aims to study the effect of concentric hot circular cylinder inside egg-cavity porous-copper nanofluid on natural convection phenomena.


The finite element method–based Galerkin approach is applied to solve numerically the set of governing equations with appropriate boundary conditions.


The effects of different range parameters, such as Darcy number (10–3 = Da = 10–1), Rayleigh number (103 = Ra = 106), nanoparticle volume fraction (0 = ϑ = 0.06) and eccentricity (−0.3 = e = 0.1) on the fluid flow represent by stream function and heat transfer represent by temperature distribution, local and average Nusselt numbers.

Research limitations/implications

A comparison between oval shape and concentric circular concentric cylinder was investigated.


In the current numerical study, heat transfer by natural convection was identified inside the new design of egg-shaped cavity as a result of the presence of a circular inside it supported by a porous medium filled with a nanofluid. After reviewing previous studies and considering the importance of heat transfer by free convection inside tubes for many applications, to the best of the authors’ knowledge, the current work is the first study that deals with a study and comparison between the common shape (concentric circular tubes) and the new shape (egg-shaped cavity).



Data availability statement: Data will be made available by corresponding author on reasonable request.


Ali, F.H., Almensoury, M.F., Hashim, A.S., Al-Amir, Q.R., Hamzah, H.K. and Hatami, M. (2024), "Nanofluid natural convection of hot concentric cylinder in oval-shaped porous cavity at different eccentricity", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 34 No. 5, pp. 2146-2176.



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