Using fluid variational variables to obtain new analytic solutions of self-gravitating flows with nonzero helicity

Asher Yahalom

doi:10.1016/j.piutam.2013.03.026

Using fluid variational variables to obtain new analytic solutions of self-gravitating flows with nonzero helicity

Asher Yahalom

Department of Electrical and Electronics Engineering

Research output: Contribution to journal › Conference article › peer-review

9 Scopus citations

Abstract

Flow equations being nonlinear are notoriously difficult to solve analytically. In this work we show that, through a three-independent-functions variational formalism for steady barotropic flows, new analytical solutions of the flow equations can be obtained. A family of flows on predetermined toroidal Bernoulli surfaces is constructed. These flows have nonzero helicity and may be maintained by a suitable irrotational force distribution. For a particular density distribution, this force field can be provided approximately by self-gravitation.

Original language	English
Pages (from-to)	223-232
Number of pages	10
Journal	Procedia IUTAM
Volume	7
DOIs	https://doi.org/10.1016/j.piutam.2013.03.026
State	Published - 2013
Event	IUTAM Symposium on Topological Fluid Mechanics II - Cambridge, United Kingdom Duration: 23 Jul 2012 → 27 Jul 2012

Keywords

Analytic solutions
Topological solutions
Variational analysis

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10.1016/j.piutam.2013.03.026

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abstract = "Flow equations being nonlinear are notoriously difficult to solve analytically. In this work we show that, through a three-independent-functions variational formalism for steady barotropic flows, new analytical solutions of the flow equations can be obtained. A family of flows on predetermined toroidal Bernoulli surfaces is constructed. These flows have nonzero helicity and may be maintained by a suitable irrotational force distribution. For a particular density distribution, this force field can be provided approximately by self-gravitation.",

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AB - Flow equations being nonlinear are notoriously difficult to solve analytically. In this work we show that, through a three-independent-functions variational formalism for steady barotropic flows, new analytical solutions of the flow equations can be obtained. A family of flows on predetermined toroidal Bernoulli surfaces is constructed. These flows have nonzero helicity and may be maintained by a suitable irrotational force distribution. For a particular density distribution, this force field can be provided approximately by self-gravitation.

KW - Analytic solutions

KW - Topological solutions

KW - Variational analysis

UR - https://www.scopus.com/pages/publications/84876499793

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JO - Procedia IUTAM

JF - Procedia IUTAM

T2 - IUTAM Symposium on Topological Fluid Mechanics II

Y2 - 23 July 2012 through 27 July 2012

ER -

Using fluid variational variables to obtain new analytic solutions of self-gravitating flows with nonzero helicity

Abstract

Keywords

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