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# NUMERICAL ANALYSIS OF NATURAL CONVECTION IN INTERNALLY FINNED HORIZONTAL ANNULI

Quanfu Gaoa,b , Kun Zhanga,b,*, Liang Bi Wanga,b

a School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu, 730070, China
b Key Laboratory of Railway Vehicle Thermal Engineering of MOE, Lanzhou Jiaotong University, Lanzhou, Gansu, 730070, China

* Corresponding Author: Email: .

Frontiers in Heat and Mass Transfer 2020, 14, 1-10. https://doi.org/10.5098/hmt.14.29

## Abstract

Detailed numerical analysis is presented for natural convection heat transfer in internally finned horizontal annuli. Governing equations are discretized using the finite volume method, and solved using SIMPLE algorithm with Quick scheme. The results show that the flow and heat transfer can reach steady state when the Rayleigh number is below 2×104. When the Rayleigh number is greater than 3×104 , two different types of numerical solutions under the same parameters can be obtained for different initial conditions. The critical Rayleigh numbers with two different initial conditions are different from steady to unsteady solutions. The oscillatory flow undergoes several bifurcations and ultimately evolves to a chaotic flow as the Rayleigh numbers increase.

## Keywords

APA Style
Gao , Q., Zhang, K., Wang, L.B. (2020). NUMERICAL ANALYSIS OF NATURAL CONVECTION IN INTERNALLY FINNED HORIZONTAL ANNULI. Frontiers in Heat and Mass Transfer, 14(1), 1-10. https://doi.org/10.5098/hmt.14.29
Vancouver Style
Gao Q, Zhang K, Wang LB. NUMERICAL ANALYSIS OF NATURAL CONVECTION IN INTERNALLY FINNED HORIZONTAL ANNULI. Front Heat Mass Transf. 2020;14(1):1-10 https://doi.org/10.5098/hmt.14.29
IEEE Style
Q. Gao , K. Zhang, and L.B. Wang "NUMERICAL ANALYSIS OF NATURAL CONVECTION IN INTERNALLY FINNED HORIZONTAL ANNULI," Front. Heat Mass Transf., vol. 14, no. 1, pp. 1-10. 2020. https://doi.org/10.5098/hmt.14.29

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