Counter-extrapolation method for conjugate heat and mass transfer with interfacial discontinuity. Issue 10 (2nd October 2017)

• Record Type: Journal Article
• Authors: Wang, Zimeng; Colin, Fabrice; Le, Guigao; Zhang, Junfeng
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 27:Issue 10(2017)
• Page Start: 2231
• Page End: 2258
• Publication Date: 2017-10-02
• Subjects: Mass transfer -- Lattice Boltzmann method -- Conjugate interface -- Heat transfer -- Interface jump -- Thermal contact resistance -- Membrane permeability; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-10-2016-0422
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: The purpose of this paper is to develop a counter-extrapolation approach for computational heat and mass transfer with the interfacial discontinuity considered at conjugate interfaces. Design/methodology/approach: By applying finite-difference approximations for the interfacial gradients along the local normal direction, the conjugate system can be simplified to the Dirichlet boundary problems for individual domains. A suitable method for the Dirichlet boundary value condition can then be used. The lattice Boltzmann method has been used to demonstrate the method. The model has been carefully validated by comparing the simulation results and theoretical solutions for steady and unsteady systems with flat or circular interfaces. Furthermore, the cooling process of a hot cylinder in a cold flow, which involves unsteady flow and heat transfer across a curved interface, has been simulated as an example to illustrate the practical usefulness of this model. Findings: Good agreement has been observed in comparisons of simulations and theoretical solutions. The convergence and stability of the method have also been examined and satisfactory results have been obtained. Results of the cylinder cooling process show that a surface insulation layer can effectively reduce the heat transfer process and slow down the cooling process. Originality/value: This method possesses several technical advantages, including the simple and straightforward algorithm, and accurate representation of the interface geometry. The basic idea and algorithm of the counter-extrapolation procedure presented here can be readily extended to other lattice Boltzmann models and even other computational technologies for heat and mass transfer systems with interface discontinuity.