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Free-Streamline Theory for Inviscid Stratified Flow into a Line Sink

Timothy W. Kao

Open publisher page 19 citations

Abstract

A free-streamline theory is given for the steady flow of an inviscid, stratified fluid into a line sink, with the fluid stagnant above the dividing streamline. It is shown that an infinite number of such solutions exist for 0.33 ≤ F1 ≤ ∞. A constructive procedure is used to obtain the solutions. Error estimates are given through suitable perturbation schemes. An answer to the question of uniqueness is presented with F1 = 0.33 given as the unique Froude number for all separated flows.

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What this paper is about

A free-streamline theory is given for the steady flow of an inviscid, stratified fluid into a line sink, with the fluid stagnant above the dividing streamline. It is shown that an infinite number of such solutions exist for 0.33 ≤ F1 ≤ ∞. A constructive procedure is used to obtain the solutions. Error estimates are given through suitable perturbation schemes. An answer to the question of uniqueness is presented with F1 = 0.33 given as the unique Froude number for all separated flows.

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Available abstract

A free-streamline theory is given for the steady flow of an inviscid, stratified fluid into a line sink, with the fluid stagnant above the dividing streamline. It is shown that an infinite number of such solutions exist for 0.33 ≤ F1 ≤ ∞. A constructive procedure is used to obtain the solutions. Error estimates are given through suitable perturbation schemes. An answer to the question of uniqueness is presented with F1 = 0.33 given as the unique Froude number for all separated flows.

Key concepts: Inviscid flow, Froude number, Stratified flow, Physics, Stratified flows, Uniqueness, Fluid dynamics, Mechanics

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