Drag Force on a Starting Plate Scales with the Square Root of Acceleration

Journal article (2023)

Authors

J. Reijtenbagh Fluid Mechanics - Mechanical, Maritime and Materials Engineering
M.J. Tummers Fluid Mechanics - Mechanical, Maritime and Materials Engineering
J. Westerweel Fluid Mechanics - Mechanical, Maritime and Materials Engineering
Research Group
Fluid Mechanics (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2023 J. Reijtenbagh, M.J. Tummers, J. Westerweel
DOI: https://doi.org/10.1103/PhysRevLett.130.174001
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Published Date

2023

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Process and Energy

Research Group

Fluid Mechanics

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.