A note on the Galilean invariance of aerodynamic force theories in unsteady incompressible flows

As a basic principle in classical mechanics, the Galilean invariance states that the force is the same in all inertial frames of reference. But this principle has not been properly addressed by most unsteady aerodynamic force theories, if the partial force contributed by a local flow structure is to...

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Bibliographic Details
Published inActa mechanica Sinica Vol. 35; no. 6; pp. 1150 - 1154
Main Authors Gao, An-Kang, Wu, Jiezhi
Format Journal Article
LanguageEnglish
Published Beijing The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences 01.12.2019
Springer Nature B.V
State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China
EditionEnglish ed.
Subjects
Aerodynamic forces
Classical and Continuum Physics
Classical mechanics
Computational fluid dynamics
Computational Intelligence
Engineering
Engineering Fluid Dynamics
Fluid flow
Incompressible flow
Inertial reference systems
Invariance
Local flow
Research Paper
Theoretical and Applied Mechanics
Galilean invariance
Unsteady flow
Flow diagnoses
Aerodynamic force theory
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Summary:As a basic principle in classical mechanics, the Galilean invariance states that the force is the same in all inertial frames of reference. But this principle has not been properly addressed by most unsteady aerodynamic force theories, if the partial force contributed by a local flow structure is to be evaluated. In this note, we discuss the Galilean-invariance conditions of the partial force for several typical theories and numerically test what would happen if these conditions do not hold.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-019-00896-5