Stokes Equation in a Semi-Infinite Region: Generalization of the Lamb Solution and Applications to Marangoni Flows - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Fluids Année : 2020

Stokes Equation in a Semi-Infinite Region: Generalization of the Lamb Solution and Applications to Marangoni Flows

Goce Koleski
  • Fonction : Auteur
Thomas Bickel

Résumé

We consider the creeping flow of a Newtonian fluid in a hemispherical region. In a domain with spherical or nearly spherical geometry, the solution of the Stokes equation can be expressed as a series of spherical harmonics. However, the original Lamb solution is not complete when the flow is restricted to a semi-infinite space. The general solution in hemispherical geometry is then constructed explicitly. As an application, we discuss the solutions of Marangoni flows due to a local source at the liquid–air interface.

Dates et versions

hal-03347000 , version 1 (16-09-2021)

Identifiants

Citer

Goce Koleski, Thomas Bickel. Stokes Equation in a Semi-Infinite Region: Generalization of the Lamb Solution and Applications to Marangoni Flows. Fluids, 2020, 5 (4), pp.249. ⟨10.3390/fluids5040249⟩. ⟨hal-03347000⟩

Collections

CNRS LOMA
9 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More