Time-averaged transport in oscillatory squeeze flow of a viscoelastic fluid
Rui Yang, Ivan C. Christov, Ian M. Griffiths, Guy Z. Ramon
Abstract
An investigation of the Taylor--Aris dispersion in an oscillatory axisymmetric squeeze flow, driven periodically by the motion of one of the confining, parallel planes is presented. Using the method of multiple timescale homogenization, the mass-heat balance equation in this flow is reduced to a one-dimensional equation, indicating three effective mechanisms: diffusion, advection, and reaction. The results show that the transport in the oscillatory squeeze flow can be either enhanced or diminished, depending on the interplay of these three effective (homogenized) mechanisms.
Topics & Concepts
MechanicsAdvectionDimensionless quantityViscoelasticityInertiaMass transferPhysicsThermal diffusivityOscillation (cell signaling)Molecular diffusionThermodynamicsMass fluxClassical mechanicsChemistryOperations managementBiochemistryEconomicsMetric (unit)Heat and Mass Transfer in Porous MediaRheology and Fluid Dynamics StudiesLattice Boltzmann Simulation Studies