A Three-Dimensional Linearized Unsteady Euler Analysis for Turbomachinery Blade Rows

A Three-Dimensional Linearized Unsteady Euler Analysis for Turbomachinery Blade Rows
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
Total Pages: 92
Release: 2018-07-02
Genre:
ISBN: 9781722150570
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A three-dimensional, linearized, Euler analysis is being developed to provide an efficient unsteady aerodynamic analysis that can be used to predict the aeroelastic and aeroacoustic responses of axial-flow turbo-machinery blading.The field equations and boundary conditions needed to describe nonlinear and linearized inviscid unsteady flows through a blade row operating within a cylindrical annular duct are presented. A numerical model for linearized inviscid unsteady flows, which couples a near-field, implicit, wave-split, finite volume analysis to a far-field eigenanalysis, is also described. The linearized aerodynamic and numerical models have been implemented into a three-dimensional linearized unsteady flow code, called LINFLUX. This code has been applied to selected, benchmark, unsteady, subsonic flows to establish its accuracy and to demonstrate its current capabilities. The unsteady flows considered, have been chosen to allow convenient comparisons between the LINFLUX results and those of well-known, two-dimensional, unsteady flow codes. Detailed numerical results for a helical fan and a three-dimensional version of the 10th Standard Cascade indicate that important progress has been made towards the development of a reliable and useful, three-dimensional, prediction capability that can be used in aeroelastic and aeroacoustic design studies. Montgomery, Matthew D. and Verdon, Joseph M. Glenn Research Center...

Development of a Linearized Unsteady Euler Analysis for Turbomachinery Blade Rows

Development of a Linearized Unsteady Euler Analysis for Turbomachinery Blade Rows
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
Total Pages: 108
Release: 2018-07-17
Genre:
ISBN: 9781723025105
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A linearized unsteady aerodynamic analysis for axial-flow turbomachinery blading is described in this report. The linearization is based on the Euler equations of fluid motion and is motivated by the need for an efficient aerodynamic analysis that can be used in predicting the aeroelastic and aeroacoustic responses of blade rows. The field equations and surface conditions required for inviscid, nonlinear and linearized, unsteady aerodynamic analyses of three-dimensional flow through a single, blade row operating within a cylindrical duct, are derived. An existing numerical algorithm for determining time-accurate solutions of the nonlinear unsteady flow problem is described, and a numerical model, based upon this nonlinear flow solver, is formulated for the first-harmonic linear unsteady problem. The linearized aerodynamic and numerical models have been implemented into a first-harmonic unsteady flow code, called LINFLUX. At present this code applies only to two-dimensional flows, but an extension to three-dimensions is planned as future work. The three-dimensional aerodynamic and numerical formulations are described in this report. Numerical results for two-dimensional unsteady cascade flows, excited by prescribed blade motions and prescribed aerodynamic disturbances at inlet and exit, are also provided to illustrate the present capabilities of the LINFLUX analysis. Verdon, Joseph M. and Montgomery, Matthew D. and Kousen, Kenneth A. Unspecified Center AXIAL FLOW; COMPUTATIONAL FLUID DYNAMICS; DIFFERENTIAL EQUATIONS; EULER EQUATIONS OF MOTION; INVISCID FLOW; LINEARIZATION; ROTOR BLADES (TURBOMACHINERY); SURFACE PROPERTIES; THREE DIMENSIONAL FLOW; UNSTEADY AERODYNAMICS; AEROACOUSTICS; AERODYNAMIC CONFIGURATIONS; AEROELASTICITY; AIR INTAKES; CASCADE FLOW; CYLINDRICAL BODIES; DUCTS; MATHEMATICAL MODELS; UNSTEADY FLOW...

Development of a Linearized Unsteady Euler Analysis with Application to Wake/Blade-Row Interactions

Development of a Linearized Unsteady Euler Analysis with Application to Wake/Blade-Row Interactions
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
Total Pages: 98
Release: 2018-05-30
Genre:
ISBN: 9781720477853
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A three-dimensional, linearized, Euler analysis is being developed to provide a comprehensive and efficient unsteady aerodynamic analysis for predicting the aeroacoustic and aeroelastic responses of axial-flow turbomachinery blading. The mathematical models needed to describe nonlinear and linearized, inviscid, unsteady flows through a blade row operating within a cylindrical annular duct are presented in this report. A numerical model for linearized inviscid unsteady flows, which couples a near-field, implicit, wave-split, finite volume analysis to far-field eigen analyses, is also described. The linearized aerodynamic and numerical models have been implemented into the three-dimensional unsteady flow code, LINFLUX. This code is applied herein to predict unsteady subsonic flows driven by wake or vortical excitations. The intent is to validate the LINFLUX analysis via numerical results for simple benchmark unsteady flows and to demonstrate this analysis via application to a realistic wake/blade-row interaction. Detailed numerical results for a three-dimensional version of the 10th Standard Cascade and a fan exit guide vane indicate that LINFLUX is becoming a reliable and useful unsteady aerodynamic prediction capability that can be applied, in the future, to assess the three-dimensional flow physics important to blade-row, aeroacoustic and aeroelastic responses.Verdon, Joseph M. and Montgomery, Matthew D. and Chuang, H. AndrewGlenn Research CenterUNSTEADY FLOW; WAKES; EULER EQUATIONS OF MOTION; FAR FIELDS; ANNULAR DUCTS; FINITE VOLUME METHOD; DESIGN ANALYSIS; AERODYNAMIC CHARACTERISTICS; THREE DIMENSIONAL FLOW; NONLINEARITY; MATHEMATICAL MODELS; INVISCID FLOW

Unsteady Aerodynamics and Aeroelasticity of Turbomachines

Unsteady Aerodynamics and Aeroelasticity of Turbomachines
Author: Torsten H. Fransson
Publisher: Springer Science & Business Media
Total Pages: 835
Release: 2012-12-06
Genre: Science
ISBN: 9401150400
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Twenty-one years have passed since the first symposium in this series was held in Paris (1976). Since then there have been meetings in Lausanne (1980), Cambridge (1984), Aachen (1987), Beijing (1989), Notre Dame (1991) and Fukuoka (1994). During this period a tremendous development in the field of unsteady aerodynamics and aeroelasticity in turbomachines has taken place. As steady-state flow conditions become better known, and as blades in the turbomachine are constantly pushed towards lower weight, and higher load and efficiency, the importance of unsteady phenomena appear more clearly. th The 8 Symposium was, as the previous ones, of high quality. Furthermore, it presented the audience with the latest developments in experimental, numerical and theoretical research. More papers than ever before were submitted to the conference. As the organising committee wanted to preserve the uniqueness of the symposium by having single sessions, and thus mingle speakers and audience with different backgrounds in this interdisciplinary field, only a limited number of papers could be accepted. 54 papers were accepted and presented at the meeting, all of which are included in the present proceedings.