Steady motion through a branching tube
Abstract
The fluid motion in a straight pipe of circular cross section that bifurcates symmetrically into two pipes of semicircular cross section is analyzed for high Reynolds numbers, with the aim of deriving some dynamical attributes of the three-dimensionality of a bifurcation in a pipe. It is shown that the three-dimensional flow may be broken down into a Blasius region, an inviscid core region, and inertial and viscous sidewall regions. The fundamental problem in each region is discussed.
- Publication:
-
Proceedings of the Royal Society of London Series A
- Pub Date:
- June 1977
- DOI:
- 10.1098/rspa.1977.0093
- Bibcode:
- 1977RSPSA.355..167S
- Keywords:
-
- Branching (Physics);
- Pipe Flow;
- Pressure Gradients;
- Steady Flow;
- Three Dimensional Flow;
- Blasius Equation;
- Boundary Layer Flow;
- Channel Flow;
- Core Flow;
- Inviscid Flow;
- Reynolds Number;
- Secondary Flow;
- Skin Friction;
- Two Dimensional Flow;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer