Group-invariant solutions for two-dimensional free, wall, and liquid jets having finite fluid velocity at orifice
type: Item
instance of: scholarly article
title: Group-invariant solutions for two-dimensional free, wall, and liquid jets having finite fluid velocity at orifice
zbMATH Open document ID: 1235.76131
DOI: 10.1155/2011/615612
published in: Mathematical Problems in Engineering
publication date: 2012-04-03T00:00:00Z
review text: Summary: The group-invariant solutions for nonlinear third-order partial differential equation (PDE) governing flow in two-dimensional jets (free, wall, and liquid) having finite fluid velocity at orifice are constructed. The symmetry associated with the conserved vector that was used to derive the conserved quantity for the jets (free, wall, and liquid) generated the group invariant solution for the nonlinear third-order PDE for the stream function. The comparison between results for two-dimensional jet flows having finite and infinite fluid velocity at orifice is presented. The general form of the group invariant solution for two-dimensional jets is given explicitly.
Mathematics Subject Classification ID: 76M60
Mathematics Subject Classification ID: 76B10
zbMATH DE Number: 6021132
Wikidata QID: Q58693304
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/615612
OpenAlex ID: W2098822335
cites work: Group Invariant Solution and Conservation Law for a Free Laminar Two-Dimensional Jet
cites work: Conservation laws via the partial Lagrangian and group invariant solutions for radial and two-dimensional free jets
cites work: The laminar boundary layer on oscillating plates and cylinders
cites work: The radial spread of a liquid jet over a horizontal plane
cites work: AN APPLICATION OF MANGLER'S TRANSFORMATION
cites work: Conservation laws and conserved quantities for laminar two-dimensional and radial jets
cites work: Q3637735
cites work: Relationship between symmetries and conservation laws
cites work: Asymptotic Expansions in Radial Jets
cites work: RADIAL JETS WITH SWIRL
cites work: Symmetry Solutions of a Third-Order Ordinary Differential Equation which Arises from Prandtl Boundary Layer Equations
author: R. Naz
description: scientific article; zbMATH DE number 6021132