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Physics of Fluids : Symmetry unbreaking in the shapes of perfect projectiles

By Marcus Roper, Todd M. Squires, and Michael P. Brenner

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Book Id: WPLBN0002169600
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 24 September 2008

Title: Physics of Fluids : Symmetry unbreaking in the shapes of perfect projectiles  
Author: Marcus Roper, Todd M. Squires, and Michael P. Brenner
Volume: Issue : September 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Physics of Fluids Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Todd M. Squires, And Michael P. Brenne, M. R. (n.d.). Physics of Fluids : Symmetry unbreaking in the shapes of perfect projectiles. Retrieved from http://hawaiilibrary.net/


Description
Description: We study the shapes of perfect projectiles: Bodies of prescribed volume that are designed to suffer minimum fluid drag in steady flight. Perfect projectiles have a surprising property: Although the flow of fluid around the body of the projectile is fore-aft asymmetric at moderate flow speeds, the shape of the body that minimizes drag is nonetheless highly symmetrical. We show that perfect projectiles are weakly asymmetric and that their asymmetry grows with the cube of the projectile size for sufficiently small projectiles. The persistence of apparent fore-aft symmetry is speculated to be a signature of the linearity and reciprocity of the drag-determining features of the flow around the projectile.

 

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