Drag Force on a Starting Plate Scales with the Square Root of Acceleration
Jesse Reijtenbagh, M.J. Tummers, Jerry Westerweel
Abstract
We report results on the instantaneous drag force on plates that are accelerated in a direction normal to the plate surface, which show that this force scales with the square root of the acceleration. This is associated with the generation and advection of vorticity at the plate surface. A new scaling law is presented for the drag force on accelerating plates, based on the history force for unsteady flow. This scaling avoids previous inconsistencies in using added mass forces in the description of forces on accelerating plates.
Topics & Concepts
DragAccelerationPhysicsMechanicsSquare rootScalingClassical mechanicsAdvectionConservative forceSquare (algebra)Parasitic dragRestoring forceVorticityDrag coefficientRoot mean squareBody forceGeometryVortexMathematicsQuantum mechanicsThermodynamicsFluid Dynamics and Vibration AnalysisFluid Dynamics and Turbulent FlowsParticle Dynamics in Fluid Flows