Instability of jets of arbitrary geometry

Roy S. Baty, Philip J. Morris

Research output: Contribution to conferencePaper

4 Citations (Scopus)

Abstract

This paper describes a calculation technique for determining the stability of jets of arbitrary cross section. In particular, elliptic and rectangular jets are considered. The numerical procedure involves both a con- formal transformation between the computational domain and the physical plane and a solution of the transformed stability equation in the computational domain. Modern, efficient, conformal mappings are used for both simply and doubly connected domains. The numerical solution is based on a finite difference/pseudospectral discretization of the stability equation. The technique is verified by comparison with previous calculations for circular and elliptic jets. Calculations axe performed for the stability of elliptic and rectangular jets of aspect ratio 2. Growth rates, phase velocities, and pressure eigenfunctions are calculated.

Original languageEnglish (US)
StatePublished - Jan 1 1989
EventAIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1989 - Buffalo, United States
Duration: Jun 12 1989Jun 14 1989

Other

OtherAIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1989
CountryUnited States
CityBuffalo
Period6/12/896/14/89

Fingerprint

Geometry
conformal mapping
geometry
Conformal mapping
Phase velocity
phase velocity
Eigenvalues and eigenfunctions
aspect ratio
Aspect ratio
eigenvectors
cross sections

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Condensed Matter Physics
  • Electrical and Electronic Engineering
  • Engineering (miscellaneous)

Cite this

Baty, R. S., & Morris, P. J. (1989). Instability of jets of arbitrary geometry. Paper presented at AIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1989, Buffalo, United States.
Baty, Roy S. ; Morris, Philip J. / Instability of jets of arbitrary geometry. Paper presented at AIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1989, Buffalo, United States.
@conference{b9fd7e172a2e470ba26f0644350ac91a,
title = "Instability of jets of arbitrary geometry",
abstract = "This paper describes a calculation technique for determining the stability of jets of arbitrary cross section. In particular, elliptic and rectangular jets are considered. The numerical procedure involves both a con- formal transformation between the computational domain and the physical plane and a solution of the transformed stability equation in the computational domain. Modern, efficient, conformal mappings are used for both simply and doubly connected domains. The numerical solution is based on a finite difference/pseudospectral discretization of the stability equation. The technique is verified by comparison with previous calculations for circular and elliptic jets. Calculations axe performed for the stability of elliptic and rectangular jets of aspect ratio 2. Growth rates, phase velocities, and pressure eigenfunctions are calculated.",
author = "Baty, {Roy S.} and Morris, {Philip J.}",
year = "1989",
month = "1",
day = "1",
language = "English (US)",
note = "AIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1989 ; Conference date: 12-06-1989 Through 14-06-1989",

}

Baty, RS & Morris, PJ 1989, 'Instability of jets of arbitrary geometry', Paper presented at AIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1989, Buffalo, United States, 6/12/89 - 6/14/89.

Instability of jets of arbitrary geometry. / Baty, Roy S.; Morris, Philip J.

1989. Paper presented at AIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1989, Buffalo, United States.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Instability of jets of arbitrary geometry

AU - Baty, Roy S.

AU - Morris, Philip J.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - This paper describes a calculation technique for determining the stability of jets of arbitrary cross section. In particular, elliptic and rectangular jets are considered. The numerical procedure involves both a con- formal transformation between the computational domain and the physical plane and a solution of the transformed stability equation in the computational domain. Modern, efficient, conformal mappings are used for both simply and doubly connected domains. The numerical solution is based on a finite difference/pseudospectral discretization of the stability equation. The technique is verified by comparison with previous calculations for circular and elliptic jets. Calculations axe performed for the stability of elliptic and rectangular jets of aspect ratio 2. Growth rates, phase velocities, and pressure eigenfunctions are calculated.

AB - This paper describes a calculation technique for determining the stability of jets of arbitrary cross section. In particular, elliptic and rectangular jets are considered. The numerical procedure involves both a con- formal transformation between the computational domain and the physical plane and a solution of the transformed stability equation in the computational domain. Modern, efficient, conformal mappings are used for both simply and doubly connected domains. The numerical solution is based on a finite difference/pseudospectral discretization of the stability equation. The technique is verified by comparison with previous calculations for circular and elliptic jets. Calculations axe performed for the stability of elliptic and rectangular jets of aspect ratio 2. Growth rates, phase velocities, and pressure eigenfunctions are calculated.

UR - http://www.scopus.com/inward/record.url?scp=0013136613&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0013136613&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:0013136613

ER -

Baty RS, Morris PJ. Instability of jets of arbitrary geometry. 1989. Paper presented at AIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1989, Buffalo, United States.