Understanding the Instability of Particle-Laden Liquids over Soft Porous Media
Technical Report,16 Aug 2017,15 Aug 2018
Clarkson University Potsdam United States
Pagination or Media Count:
The major goal of the proposed project is to quantitatively examine the suspension flows over porous media and the related instabilities by developing and experimentally validating a new framework to model and understand the stability of the flow of particle-laden liquids in a rectangular channel in which one or two walls are coated with various porous media. The proposed concept, inspired by the nearly frictionless movement of red blood cells through tiny capillaries, involves covering the planar surfaces with a specific porous material with permeability K and porosity . The specific objectives of the proposed project, described below, are aimed at achieving our major goal of developing and experimentally validating a new theoretical framework to model and understand this coupled flow and the causes of instability in the system. In Objective 1, we will consider pressure-driven channel flow of non-Brownian, non- colloidal particle-laden liquids at moderate to high concentrations i.e., 0.05bulk0.5 in which one or two walls isare coated with various porous media. We will couple the Brinkman equation and the suspension balance model to understand the velocity profile and concentration field above the porous media and to define the steady-state base state solutions in the presence of the permeable media. Then, we will linearly perturb the coupled equations in the steady-state regime. The Chebyshev tau method will be utilized to determine the eigenmodes of perturbed equations. The PI plans to validate and calibrate the code by performing and reproducing the results of 2,11. Finally, the stability of the system will be analyzed, the normalized amplitude of the stream function and concentration profiles, and the new families of stableunstable modes will be determined. A phase diagram that summarizes the effect of Reynolds number and flow property, channel geometry, and physical property of the porous media on instability will be also introduced.
- Fluid Mechanics