A Note on the Non-Inertial Similarity Solution for Von Kármán Swirling Flow

Madeleine Combrinck

doi:10.1142/s0217984921500305

A Note on the Non-Inertial Similarity Solution for Von Kármán Swirling Flow

Madeleine Combrinck

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Abstract

This note proposes a non-inertial similarity solution for the classic von Kármán swirling flow as perceived from the rotational frame. The solution is obtained by implementing non-inertial similarity parameters in the non-inertial boundary layer equations. This reduces the partial differential equations to a set of ordinary differential equations that is solved through an integration routine and shooting method.

Original language	English
Article number	2150030
Pages (from-to)	2150030
Number of pages	14
Journal	Modern Physics Letters B
Volume	35
Issue number	01
DOIs	https://doi.org/10.1142/s0217984921500305
Publication status	Published - 9 Oct 2020

Keywords

Incompressible
boundary layer
constant rotation
derivation

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abstract = "This note proposes a non-inertial similarity solution for the classic von K{\'a}rm{\'a}n swirling flow as perceived from the rotational frame. The solution is obtained by implementing non-inertial similarity parameters in the non-inertial boundary layer equations. This reduces the partial differential equations to a set of ordinary differential equations that is solved through an integration routine and shooting method.",

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AB - This note proposes a non-inertial similarity solution for the classic von Kármán swirling flow as perceived from the rotational frame. The solution is obtained by implementing non-inertial similarity parameters in the non-inertial boundary layer equations. This reduces the partial differential equations to a set of ordinary differential equations that is solved through an integration routine and shooting method.

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KW - boundary layer

KW - constant rotation

KW - derivation

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A Note on the Non-Inertial Similarity Solution for Von Kármán Swirling Flow

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