Navier-Stokes investigation of a transonic centrifugal compressor stage using an algebraic Reynolds stress model

Robert Francis Kunz, B. Lakshminarayana

Research output: Contribution to conferencePaper

Abstract

A three-dimensional Navier-Stokes procedure has been developed and applied to a backswept transonic centrifugal compressor stage for which laser two-focus meridional passage velocity measurements are available. An explicit numerical procedure is employed which solves the governing compressible flow equations and a low Reynolds number form of the k-ϵ turbulence model. A two-layer k-ϵ/algebraic Reynolds stress model is employed to account for Reynolds stress anisotropics. Steady state full Navier-Stokes solutions are presented which are shown to capture detailed viscous dominated flow features including tip clearance and curvature induced and rotation induced secondary motions, with good accuracy. Relative helicity is used to help interrogate the computational results and provides insight into the secondary motions in the machine under consideration. Results are presented and interpreted for impeller-diffuser flow field calculations performed with and without the two-layer model. It is found that both modelling approaches provide good agreement with experimental meridional velocity and shroud static pressure measurements. Solutions which incorporate the algebraic Reynolds stress model show significant, though not dramatic, differences in predicted secondary flows, wall shear stress and performance parameters, when compared to the k-ϵ solution.

Original languageEnglish (US)
StatePublished - Jan 1 1992
EventAIAA/ASME/SAE/ASEE 28th Joint Propulsion Conference and Exhibit, 1992 - Nashville, United States
Duration: Jul 6 1992Jul 8 1992

Other

OtherAIAA/ASME/SAE/ASEE 28th Joint Propulsion Conference and Exhibit, 1992
CountryUnited States
CityNashville
Period7/6/927/8/92

Fingerprint

Centrifugal compressors
Compressible flow
Secondary flow
Viscous flow
Pressure measurement
Turbulence models
Velocity measurement
Shear stress
Flow fields
Reynolds number
Lasers

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Aerospace Engineering
  • Energy Engineering and Power Technology
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Kunz, R. F., & Lakshminarayana, B. (1992). Navier-Stokes investigation of a transonic centrifugal compressor stage using an algebraic Reynolds stress model. Paper presented at AIAA/ASME/SAE/ASEE 28th Joint Propulsion Conference and Exhibit, 1992, Nashville, United States.
Kunz, Robert Francis ; Lakshminarayana, B. / Navier-Stokes investigation of a transonic centrifugal compressor stage using an algebraic Reynolds stress model. Paper presented at AIAA/ASME/SAE/ASEE 28th Joint Propulsion Conference and Exhibit, 1992, Nashville, United States.
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Kunz, RF & Lakshminarayana, B 1992, 'Navier-Stokes investigation of a transonic centrifugal compressor stage using an algebraic Reynolds stress model' Paper presented at AIAA/ASME/SAE/ASEE 28th Joint Propulsion Conference and Exhibit, 1992, Nashville, United States, 7/6/92 - 7/8/92, .

Navier-Stokes investigation of a transonic centrifugal compressor stage using an algebraic Reynolds stress model. / Kunz, Robert Francis; Lakshminarayana, B.

1992. Paper presented at AIAA/ASME/SAE/ASEE 28th Joint Propulsion Conference and Exhibit, 1992, Nashville, United States.

Research output: Contribution to conferencePaper

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N2 - A three-dimensional Navier-Stokes procedure has been developed and applied to a backswept transonic centrifugal compressor stage for which laser two-focus meridional passage velocity measurements are available. An explicit numerical procedure is employed which solves the governing compressible flow equations and a low Reynolds number form of the k-ϵ turbulence model. A two-layer k-ϵ/algebraic Reynolds stress model is employed to account for Reynolds stress anisotropics. Steady state full Navier-Stokes solutions are presented which are shown to capture detailed viscous dominated flow features including tip clearance and curvature induced and rotation induced secondary motions, with good accuracy. Relative helicity is used to help interrogate the computational results and provides insight into the secondary motions in the machine under consideration. Results are presented and interpreted for impeller-diffuser flow field calculations performed with and without the two-layer model. It is found that both modelling approaches provide good agreement with experimental meridional velocity and shroud static pressure measurements. Solutions which incorporate the algebraic Reynolds stress model show significant, though not dramatic, differences in predicted secondary flows, wall shear stress and performance parameters, when compared to the k-ϵ solution.

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Kunz RF, Lakshminarayana B. Navier-Stokes investigation of a transonic centrifugal compressor stage using an algebraic Reynolds stress model. 1992. Paper presented at AIAA/ASME/SAE/ASEE 28th Joint Propulsion Conference and Exhibit, 1992, Nashville, United States.