Effects of Amplitude of Roughness on Heat Transfer

Abstract

A lattice Boltzmann method was utilized to investigate the natural convection heat transfer in the presence of sinusoidal roughness elements in a two-dimensional rectangular cavity heated at the bottom. Coupled momentum and energy equations were solved in a two-dimensional lattice using the single relaxation time Bhatnagar-Gross-Krook (BGK) model of lattice Boltzmann method. Computational model was validated against the previous benchmark solutions and a very good agreement was found to exist with smooth and rough cavities. Numerical studies were performed for a Newtonian fluid of the Prandtl number (Pr) 1.0 in a cavity of aspect ratio (L/H) 2.0. Sinusoidal roughness elements (n = 08) were placed on hot, cold, and both the hot and cold walls simultaneously. The dimensionless amplitude was varied from 0.015 to 0.15 in small steps. The number of the roughness elements was held constant to investigate the Rayleigh numbers (Ra) between 1x103 and 1x106. The computational results showed that a small roughness amplitude of approximately 0.025 has no significant effects on the average heat transfer. In contrast, the presence of sinusoidal roughness with an amplitude ≥ 0.05 causes the average heat transfer to degrade and delay in the onset of the natural circulation.

Meeting Name

International Topical Meeting on Advances in Thermal Hydraulics, ATH 2018 (2018: Nov. 11-15, Orlando, FL)

Department(s)

Nuclear Engineering and Radiation Science

Keywords and Phrases

Aspect ratio; Heat transfer; Hydraulics; Kinetic theory; Laminar flow; Natural convection; Newtonian liquids; Prandtl number; Surface roughness; Average heat transfers; Bhatnagar-gross-krook models; Cavity; Dimensionless amplitude; Lattice Boltzmann method; Single relaxation time; Two-dimensional lattices; Two-dimensional rectangular; Computational fluid dynamics; Roughness

International Standard Book Number (ISBN)

978-0-89448-775-0

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 American Nuclear Society (ANS), All rights reserved.

Publication Date

01 Nov 2018

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