Local drag of a slender rod parallel to a plane wall in a viscous fluid
Lyndon Koens, Thomas D. Montenegro‐Johnson
Abstract
The asymptotic behavior of slender rods by walls in viscous flows is only known when the body is far from or near to the wall and are assumed not to connect. In this paper we show that, for a rod perpendicular to a wall, these limits do connect and can be used to create drag coefficients which apply for all separations. These coefficients are validated against numerical simulations and used to look at how the speed of Purcell's two-hinged swimmer changes above a wall.
Topics & Concepts
DragPerpendicularRodMechanicsViscous liquidParasitic dragPlane (geometry)PhysicsSlender-body theoryDrag coefficientClassical mechanicsGeometryFlow (mathematics)MathematicsStokes flowPathologyAlternative medicineMedicineMicro and Nano RoboticsMicrofluidic and Bio-sensing TechnologiesBiomimetic flight and propulsion mechanisms