Abstract
The comparison of two Eulerian methods for simulating low inertia particle flows in a moving gas is performed for the case of hyperbolic flow. The traditional Lagrangian approach is used as a reference. It is shown that for low inertia particles, results obtained by the two-fluid Eulerian approach and the Lagrangian approach are in a good agreement. For the Eulerian equilibrium approach a reasonable agreement with the Lagrangian approach is achieved only for very small particle response time values. The discrepancy increases significantly with the growth of the particle response time.
Highlights
Mathematical modelling of inertial particles transport in a moving gas is an important problem of fluid mechanics
It is shown that for low inertia particles, results obtained by the two-fluid Eulerian approach and the Lagrangian approach are in a good agreement
In the traditional Eulerian approach, that is known as the two-fluid approach [1, 4], a dispersed phase is represented as a continuum fluid with averaged characteristics of dispersed phase and the drag force is accounted using source terms in momentum conservation equations
Summary
Mathematical modelling of inertial particles transport in a moving gas is an important problem of fluid mechanics. In the traditional Eulerian approach, that is known as the two-fluid approach [1, 4], a dispersed phase is represented as a continuum fluid with averaged characteristics of dispersed phase (number density, velocity) and the drag force is accounted using source terms in momentum conservation equations. Another way to model gas-particle flow with inertial particles is known as the equilibrium Eulerian approach.
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