Buoyancy-driven circulation and multi-component mixing using SPH with a new adiabatic boundary condition

Reece, Georgina, Rogers, Benedict D., Fourtakas, Georgios and Lind, Steven 2024. Buoyancy-driven circulation and multi-component mixing using SPH with a new adiabatic boundary condition. International Journal of Heat and Mass Transfer 233 , 125904. 10.1016/j.ijheatmasstransfer.2024.125904

PDF - Published Version Available under License Creative Commons Attribution. Download (8MB)

Abstract

Multi-component fluid mixing by buoyancy-driven circulation is a common engineering process. Buoyancy-driven flows have been studied extensively using mesh-based Eulerian methods, but challenges remain especially near the fluid component interface. Smoothed particle hydrodynamics (SPH) is a meshless Lagrangian method able to deal with large deformations and a changing interface between the fluid components. Herein, an SPH formulation is proposed by employing the Boussinesq approximation to model buoyancy-driven flows where the temperature evolves by a governing equation, as well as multiple components with variable viscosities. In addition, a new implementation of an adiabatic boundary condition in SPH is included by adapting the recently developed modified dynamic boundary condition. The SPH results are compared against reference solutions for 2-D and 3-D, single and multi-component cases such as a differentially heated cavity and a cylindrical tank. Agreement is found with reference solutions for differentially heated cavity cases, provided the ratio of smoothing length to particle size is sufficiently large. Furthermore, the combined volume fraction - finite time Lyapunov exponent mixing measure gives insight into the relative movement of components at both a local and global level.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	Elsevier
ISSN:	0017-9310
Date of First Compliant Deposit:	12 August 2024
Date of Acceptance:	27 June 2024
Last Modified:	12 Aug 2024 15:30
URI:	https://orca.cardiff.ac.uk/id/eprint/171280

Actions (repository staff only)

Edit Item