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

Revuelta Bayod, Antonio; Sánchez Pérez, Antonio Luis y 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.

Descripción

Título: The virtual origin as a first-order correction for the far-field description of laminar jets
Autor/es:
  • Revuelta Bayod, Antonio
  • Sánchez Pérez, Antonio Luis
  • Liñán Martínez, Amable
Tipo de Documento: Artículo
Título de Revista/Publicación: Physics of Fluids
Fecha: Junio 2002
Volumen: 14
Materias:
Palabras Clave Informales: Boundary layers; Errors; Laminar flow; Perturbation techniques; Far-field description; Jets; flow modeling; flow velocity; laminar jet
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Motopropulsión y Termofluidodinámica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 865
Identificador DC: http://oa.upm.es/865/
Identificador OAI: oai:oa.upm.es:865
URL Oficial: http://scitation.aip.org/dbt/dbt.jsp?KEY=PHFLE6
Depositado por: Archivo Digital UPM
Depositado el: 19 Feb 2008
Ultima Modificación: 20 Abr 2016 06:34
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