Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number

DOI10.3934/eect.2014.3.429zbMath1302.76056arXiv1305.0707OpenAlexW3098775791MaRDI QIDQ478973

Alessandro Musesti, Alfredo Marzocchi, Giulio G. Giusteri

Publication date: 5 December 2014

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0707

zbMATH Keywords

dimensional reductionfluid-structure interactionlow-Reynolds-number flowslender-body theoryhyperviscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items

Nonlinear free fall of one-dimensional rigid bodies in hyperviscous fluids ⋮ Existence, uniqueness, and regularity for the second-gradient Navier-Stokes equations in exterior domains

Cites Work

• Unnamed Item
• The multiple nature of concentrated interactions in second-gradient dissipative liquids
• Three-dimensional nonsimple viscous liquids dragged by one-dimensional immersed bodies
• Slender-body theory for viscous flow via dimensional reduction and hyperviscous regularization
• Nonlinear free fall of one-dimensional rigid bodies in hyperviscous fluids
• Nonsimple isotropic incompressible linear fluids surrounding one-dimensional structures
• Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
• Isotropic linear constitutive relations for nonsimple fluids
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Effect of finite boundaries on the Stokes resistance of an arbitrary particle Part 2. Asymmetrical orientations
• Variational properties of steady fall in Stokes flow