Steady viscous incompressible flow driven by a pressure difference in a planar T-junction channel

The purpose of this article is to present a mathematical formulation and to develop a computational method for the prediction of incompressible flow in a domain with pressure (/or total pressure) specified on boundaries where fluid enters or leaves the domain. The developed method is applied to an investigation of laminar steady flow in a two-dimensional T-junction. Calculations are performed for a wide range of pressure differences between T-junction branches. Flow patterns and pressure fields in the region of parameters where transition between different flow regimes occurs are carefully analysed.