Slip flows of a Bingham fluid in curved channels

Abstract Motivated by the treatment of varicose veins with aqueous foams, we determine the velocity profiles and yield surface positions for pressure-driven flows of a Bingham fluid in curved channels, incorporating Navier wall slip to capture the slip behavior of aqueous foams. Assuming a constant pressure gradient – consistent with syringe-driven injection in sclerotherapy – we reproduce a closed-form analytic solution for the flow in a straight channel, and extend this to a uniformly curved c