scholarly journals On the Self-propulsion of a Rigid Body in a Viscous Liquid by Time-Periodic Boundary Data

2020 ◽  
Vol 22 (4) ◽  
Author(s):  
Giovanni P. Galdi
Keyword(s):  
Rigid Body ◽  
Viscous Liquid ◽  
Boundary Data ◽  
Periodic Boundary ◽  
The Self ◽  
Time Periodic

scholarly journals Viscous Flow Around a Rigid Body Performing a Time-periodic Motion

2021 ◽  
Vol 23 (1) ◽  
Author(s):  
Thomas Eiter ◽  
Mads Kyed
Keyword(s):  
Rigid Body ◽  
Sobolev Spaces ◽  
Periodic Motion ◽  
Viscous Incompressible Fluid ◽  
Body Motion ◽  
Translational Velocity ◽  
Ill Posed ◽  
Homogeneous Sobolev Spaces ◽  
The Mean ◽  
Time Periodic

AbstractThe equations governing the flow of a viscous incompressible fluid around a rigid body that performs a prescribed time-periodic motion with constant axes of translation and rotation are investigated. Under the assumption that the period and the angular velocity of the prescribed rigid-body motion are compatible, and that the mean translational velocity is non-zero, existence of a time-periodic solution is established. The proof is based on an appropriate linearization, which is examined within a setting of absolutely convergent Fourier series. Since the corresponding resolvent problem is ill-posed in classical Sobolev spaces, a linear theory is developed in a framework of homogeneous Sobolev spaces.

scholarly journals Inertial motions of a rigid body with a cavity filled with a viscous liquid

2013 ◽  
Vol 341 (11-12) ◽  
pp. 760-765 ◽  
Author(s):  
Giovanni P. Galdi ◽  
Giusy Mazzone ◽  
Paolo Zunino
Keyword(s):  
Rigid Body ◽  
Viscous Liquid
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