A Fixed Coarse-grid Thermal-fluid Scheme And A
Heat Conduction Scheme In The Distinct Element
Method
Author(s)
Y. Shimizu
Abstract
A particle-thermal-fluid coupling scheme with a mixed Lagrangian-Eulerian
approach is described by extending the author’s previous research (Shimizu,
2004). The scheme solves the continuity, Navier-Stokes (N-S) and thermal
energy equations numerically in Eulerian Cartesian coordinates by considering
the existence of particles within the cell. On the other hand, in the Distinct
Element Method (DEM), driving forces and thermal energy applies to the
particles.
Keywords: particle-thermal-fluid coupling, mixed Lagrangian-Eulerian
approach, distinct element method.
1 Introduction
Numerical analysis of particle-fluid coupling using a mixed Lagrangian-Eulerian
approach is becoming popular, especially in the chemical and mechanical
engineering fields [5,6,8]. Also, this approach has many potential applications in
the geo-engineering field especially when there is a wide range of fluid velocity
and high porosity [7]. In this scheme, the fluid phase is described by using the
continuity and momentum (Navier–Stokes) equations to calculate pressure and
velocity of fluid, while the movement of the solid phase (particles) is traced by
the DEM as a Lagrangian method. Momentum exchange between particles and
fluid is considered in the momentum equation for the fluid phase and in the
force-displacement law for the solid phase. Here, we extend the mixed
Lagrangian-Eulerian approach to include the thermal energy equation to solve
for temperature in both fluid and particles. A correlation of forced convection
heat transfer by considering particle existence is used for interaction term
Keywords
particle-thermal-fluid coupling, mixed Lagrangian-Eulerian
approach, distinct element method.
Related Book
Other papers in this volume
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