The virtual origin as a first-order correction for the far-field description of laminar jets

Revuelta Bayod, Antonio and Sánchez Pérez, Antonio Luis and Liñán Martínez, Amable (2002). The virtual origin as a first-order correction for the far-field description of laminar jets. "Physics of Fluids", v. 14 (n. 6); pp. 1821-1824. ISSN 1070-6631.

Description

Title: The virtual origin as a first-order correction for the far-field description of laminar jets
Author/s:
  • Revuelta Bayod, Antonio
  • Sánchez Pérez, Antonio Luis
  • Liñán Martínez, Amable
Item Type: Article
Título de Revista/Publicación: Physics of Fluids
Date: June 2002
ISSN: 1070-6631
Volume: 14
Subjects:
Freetext Keywords: Boundary layers; Errors; Laminar flow; Perturbation techniques; Far-field description; Jets; flow modeling; flow velocity; laminar jet
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The far-field velocity and composition fields of a submerged laminar jet are known to approach a self-similar solution corresponding to the flow induced by a point source of momentum and scalar. Previous efforts to improve this far-field description have introduced a virtual origin for the streamwise coordinate to remedy the singular behavior of the self-similar solution near the jet origin. The purpose of this note is to show, by means of a perturbative analysis of the point-source solution, that this virtual origin is in fact the first-order correction to the leading-order description. The perturbative analysis, which uses the ratio x of the streamwise distance to the length of jet development as an asymptotically large quantity, also indicates that the displaced point source provides the description in the far field with small relative errors of order x-3 for the round jet and of order x-10/3 for the plane jet. The values of the virtual origin are obtained by numerical integration of the boundary-layer equations in the region of jet development, giving values that depend on the shape of the jet velocity profile at the exit.

More information

Item ID: 865
DC Identifier: http://oa.upm.es/865/
OAI Identifier: oai:oa.upm.es:865
Official URL: http://scitation.aip.org/dbt/dbt.jsp?KEY=PHFLE6
Deposited by: Archivo Digital UPM
Deposited on: 19 Feb 2008
Last Modified: 20 Apr 2016 06:34
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