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Effects of Reynolds and Prandtl Numbers on Heat Transfer Around a Circular Cylinder by the Simplified Thermal Lattice Boltzmann Model

Published online by Cambridge University Press:  30 April 2015

Qing Chen ,
Xiaobing Zhang  and
Junfeng Zhang
Qing Chen*
Affiliation:
School of Energy and Power Engineering, Nanjing University of Science & Technology, Jiangsu, 210094, China Bharti School of Engineering, Laurentian University, 935 Ramsey Lake Road, Sudbury, Ontario, P3E 2C6, Canada
Xiaobing Zhang
Affiliation:
School of Energy and Power Engineering, Nanjing University of Science & Technology, Jiangsu, 210094, China
Junfeng Zhang
Affiliation:
Bharti School of Engineering, Laurentian University, 935 Ramsey Lake Road, Sudbury, Ontario, P3E 2C6, Canada
*
*Corresponding author. Email addresses: chenqing86878@gmail.com (Q. Chen), zhangxb680504@163.com (X. Zhang), jzhang@laurentian.ca (J. Zhang)
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Abstract

In this paper, the fluid flow and heat transfer around a circular cylinder are studied under various conditions (Reynolds number 10 < Re < 200; Prandtl number, 0.1 ≤ Pr ≤ 2). To solve the governing equations, we use the simplified thermal lattice Boltzmann model based on double-distribution function approach, and present a corresponding boundary treatment for both velocity and temperature fields. Extensive numerical results have been obtained to the flow and heat transfer behaviors. The vortices and temperature evolution processes indicate that the flow and temperature fields change synchronously, and the vortex shedding plays a determinant role in the heat transfer. Furthermore, the effects of Reynolds and Prandtl number on the flow and isothermal patterns and local and averaged Nusselt numbers are discussed in detail. Our simulations show that the local and averaged Nusselt numbers increase with the Reynolds and Prandtl numbers, irrespective of the flow regime. However, the minimum value of the local Nusselt number can shift from the rear point at the back of the cylinder with higher Prandtl number even in the steady flow regime, and the distribution of the local Nusselt number is almost monotonous from front stagnation point to rear stagnation point with lower Prandtl number in the unsteady flow regime.

Keywords

47.11.-j44.05.+eHeat transferReynolds numberPrandtl numbersimplified thermal lattice Boltzmann modelcurved boundary
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 4 , April 2015 , pp. 937 - 959
Copyright
Copyright © Global-Science Press 2015 

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