Flow of Power-Law Liquids in a Hele-Shaw Cell Driven by Non-Uniform Electroosmotic Slip in the Case of Strong Depletion

摘要: We analyze flow of non-Newtonian fluids in a Hele-Shaw cell, subjected to spatially non-uniform electroosmotic slip. Motivated by their potential use for increasing the characteristic pressure fields, we specifically focus on power-law with wall depletion properties. derive p-Poisson equation governing field, as well set linearized equations representing its asymptotic approximation weakly behavior. To investigate effect properties resulting fluidic and velocity, consider several configurations one- two-dimensions, calculate both exact approximate solutions. show that is good agreement solutions even significant behavior, allowing analysis design microfluidic systems involving electro-kinetic transport such fluids.