A ‘reciprocal’ theorem for the prediction of loads on a body moving in an inhomogeneous flow at arbitrary Reynolds number

DOI10.1017/jfm.2011.363zbMath1241.76120OpenAlexW2135360269MaRDI QIDQ2893817

Jacques Magnaudet

Publication date: 26 June 2012

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2011.475

zbMATH Keywords

vortex dynamicsgeneral fluid dynamics

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (10)

A ‘reciprocal’ theorem for the prediction of loads on a body moving in an inhomogeneous flow at arbitrary Reynolds number – CORRIGENDUM ⋮ Quantitative analysis of the kinematics and induced aerodynamic loading of individual vortices in vortex-dominated flows: a computation and data-driven approach ⋮ Vorticity forces on an impulsively started finite plate ⋮ An improved correlation of the pressure drop in stenotic vessels using Lorentz's reciprocal theorem ⋮ On the initiation and sustenance of flow-induced vibration of cylinders: insights from force partitioning ⋮ The virtual power principle in fluid mechanics ⋮ Expressions of force and moment exerted on a body in a viscous flow via the flux of vorticity generated on its surface ⋮ Core mechanisms of drag enhancement on bodies settling in a stratified fluid ⋮ The reciprocal theorem in fluid dynamics and transport phenomena ⋮ The dynamics of a rigid inverted flag

Cites Work

• Unnamed Item
• Unnamed Item
• An effective approach to computation of forces in viscous incompressible flows
• Inviscid shear flow around a cylinder close to a wall
• Force and moment in incompressible flows
• On the estimation of sound produced by complex fluid–structure interactions, with application to a vortex interacting with a shrouded rotor
• Wake instability of a fixed spheroidal bubble
• A many-body force decomposition with applications to flow about bluff bodies
• On the force and torque on systems of rigid bodies: A remark on an integral formula due to Howe
• Fluid–body interaction in the presence of uniform vorticity and density gradient
• The lift force on a spherical body in a rotational flow
• The drag coefficient for a spherical bubble in a uniform streaming flow
• The force exerted on a body in inviscid unsteady non-uniform rotational flow
• The boundary layer on a spherical gas bubble
• Theory for Aerodynamic Force and Moment in Viscous Flows
• Vortex shedding from an impulsively started rotating and translating circular cylinder
• Potential flow and forces for incompressible viscous flow
• The lateral migration of a spherical particle in two-dimensional shear flows
• The motion of a deformable drop in a second-order fluid
• The lift force on a spherical bubble in a viscous linear shear flow
• Generalized Kirchhoff equations for a deformable body moving in a weakly non-uniform flow field
• Inviscid flow around bodies moving in weak density gradients without buoyancy effects
• The motion of solids in inviscid uniform vortical fields
• Small inertial effects on a spherical bubble, drop or particle moving near a wall in a time-dependent linear flow
• Hydrodynamic interactions between two spherical bubbles rising side by side in a viscous liquid
• The Motion of High-Reynolds-Number Bubbles in Inhomogeneous Flows
• On unsteady surface forces, and sound produced by the normal chopping of a rectilinear vortex
• Inertial migration of rigid spheres in two-dimensional unidirectional flows
• ON THE FORCE AND MOMENT ON A BODY IN AN INCOMPRESSIBLE FLUID, WITH APPLICATION TO RIGID BODIES AND BUBBLES AT HIGH AND LOW REYNOLDS NUMBERS
• Dynamic equations of motion for a rigid or deformable body in an arbitrary non-uniform potential flow field
• On the motion of rigid bodies in incompressible inviscid fluids of inhomogeneous density
• The generalized Kirchhoff equations and their application to the interaction between a rigid body and an arbitrary time-dependent viscous flow
• On the force on a body moving in a fluid
• Axial flow in trailing line vortices
• The motion of a spherical liquid drop at high Reynolds number
• Bubble velocities induced by trailing vortices behind neighbours
• Steady rise of a small spherical gas bubble along the axis of a cylindrical pipe at high Reynolds number

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