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The effect of surface tension on the shape of the Kirchhoff jet

Jean‐Marc Vanden‐Broeck

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Abstract

The effect of surface tension on the shape of a two‐dimensional jet emerging from an orifice is considered. It is shown that the slope of the surface profile of the jet is not continuous at the separation points. Both velocity and curvature are infinite at these points. The problem is solved numerically by series truncation. Jet profiles are presented for various values of the surface tension. In addition, perturbation solutions for both small and large values of the surface tension are derived.

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What this paper is about

The effect of surface tension on the shape of a two‐dimensional jet emerging from an orifice is considered. It is shown that the slope of the surface profile of the jet is not continuous at the separation points. Both velocity and curvature are infinite at these points. The problem is solved numerically by series truncation. Jet profiles are presented for various values of the surface tension. In addition, perturbation solutions for both small and large values of the surface tension are derived.

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Available abstract

The effect of surface tension on the shape of a two‐dimensional jet emerging from an orifice is considered. It is shown that the slope of the surface profile of the jet is not continuous at the separation points. Both velocity and curvature are infinite at these points. The problem is solved numerically by series truncation. Jet profiles are presented for various values of the surface tension. In addition, perturbation solutions for both small and large values of the surface tension are derived.

Key concepts: Surface tension, Jet (fluid), Curvature, Body orifice, Mechanics, Surface (topology), Perturbation (astronomy), Mathematics

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