Lagrangian and Eulerian drag models that are consistent between Euler-Lagrange and Euler-Euler (two-fluid) approaches for homogeneous systems
S. Balachandar
Abstract
The undisturbed flow of a particle controls both the undisturbed flow force and the perturbation (quasi-steady, added-mass and history) forces. With the pairwise interaction extended point particle framework we evaluate the undisturbed flow of each particle in a random array through superposition of the perturbation flow induced by all its neighbors. From this the undisturbed flow statistics can be calculated. We obtain a force consistency relation between drag on an individual particle for use in an Euler-Lagrange simulation and the average drag suitable for use in an Euler-Euler simulation.
Topics & Concepts
DragEuler's formulaSemi-implicit Euler methodEuler equationsEulerian pathEuler methodMathematicsFlow (mathematics)Drag coefficientMechanicsClassical mechanicsBackward Euler methodSuperposition principlePhysicsMathematical analysisLagrangianParticle Dynamics in Fluid FlowsGranular flow and fluidized bedsMaterial Dynamics and Properties