ScholarLens Back to search
2005•IMA Journal of Applied MathematicsRequires access

A comment on self-similar breakup for inertialess Newtonian liquid jets

Michael Renardy

Open publisher page 7 citations

Abstract

We consider an inertialess Newtonian liquid jet in a slender body approximation. Recent work has shown that such jets evolve towards breakup in finite time, and that the asymptotics of the breakup is described by a similarity solution. A mathematical proof of this fact is still lacking. In this note, we give a proof of self-similar breakup asymptotics under an a priori assumption on the force in the jet. The results provide a partial explanation for the observed self-similar breakup asymptotics in Newtonian liquid jets.

About this research paper

What this paper is about

We consider an inertialess Newtonian liquid jet in a slender body approximation. Recent work has shown that such jets evolve towards breakup in finite time, and that the asymptotics of the breakup is described by a similarity solution. A mathematical proof of this fact is still lacking. In this note, we give a proof of self-similar breakup asymptotics under an a priori assumption on the force in the jet. The results provide a partial explanation for the observed self-similar breakup asymptotics in Newtonian liquid jets.

Why it matters

OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We consider an inertialess Newtonian liquid jet in a slender body approximation. Recent work has shown that such jets evolve towards breakup in finite time, and that the asymptotics of the breakup is described by a similarity solution. A mathematical proof of this fact is still lacking. In this note, we give a proof of self-similar breakup asymptotics under an a priori assumption on the force in the jet. The results provide a partial explanation for the observed self-similar breakup asymptotics in Newtonian liquid jets.

Key concepts: Breakup, Newtonian fluid, Physics, Jet (fluid), A priori and a posteriori, Classical mechanics, Mechanics, Philosophy

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
A comment on self-similar breakup for inertialess Newtonian liquid jets — Research Paper | ScholarLens