Abstract

We present an analytic model for the velocity field within a tubeless siphon(Fano flow), based on a simple differential equation in which extensional,shear and gravitational pressure gradient forces are balanced. The role ofsurface tension in determining boundary conditions for the flow is considered.The analysis is applied to nuclear magnetic resonance velocimetry data (Xia andCallaghan 2003 J. Magn. Reson. 16 365) on a 1.2 mm diameter column of 0.5%,8 × 106 Da polyethylene oxide in water.

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