Stokes flow in a junction of two-dimensional orthogonal channels

Mustapha Hellou (1) , Thi Diep Phuong Bach (2)

1 LGCGM - Laboratoire de Génie Civil et Génie Mécanique
2 Geosax [LGCGM]

The purpose of this study is to calculate Stokes flow structures in relation to flow rate distribution in a junction of four orthogonal channels. Particular attention was paid to the existence of recirculation flow inside the channels for low Reynolds numbers. The presence of this recirculation flow may be observed, but only when the flow rate is relatively low in at least one of the branches.

Mots clés: Channels; Junction; Flow branches; Stokes eddies; Recirculation flow; Low Reynolds number; Microflows

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Mustapha Hellou, Thi Diep Phuong Bach. Stokes flow in a junction of two-dimensional orthogonal channels. Zeitschrift für Angewandte Mathematik und Physik, 2011, 62, pp.135-147. ⟨10.1007/s00033-010-0087-y⟩. ⟨hal-00982491⟩