• Title/Summary/Keyword: Compressible Navier-Stokes Equation

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A Computational Study of a Supersonic Flow with Base Bleed (Base Bleed 를 가지는 초음속 유동에 대한 수치해석적 연구)

  • Lee, Young-Ki;Kim, Heuy-Dong;Raghunathan, Srinivasan
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1589-1594
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    • 2004
  • A numerical analysis has been performed to give an understanding of the physics of a compressible base flow with mass bleed in a Mach 2.47 freestream. Axisymmetric, compressible mass-averaged Navier-Stokes equations are computed using a two-equation turbulence model, standard ${\kappa}-{\omega}$, and a fully implicit finite volume scheme. The mass bleed is characterized by the change in the mass flow rate of the bleed jet non-dimensionalized by the product of the base area and freestream mass flux. The result showing that there is an optimum bleed condition with maximum base pressure, leading to a minimum base drag, is clearly predicted and the validation with experimental data shows reasonable agreement.

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Experimental / Computational Study of a variable Critical Nozzle Flow (가변형 임계노즐 유동에 관한 실험/수치해석적 연구)

  • Kim, Jae-Hyung;Kim, Heuy-Dong;Park, Kyung-Am
    • 유체기계공업학회:학술대회논문집
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    • 2003.12a
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    • pp.167-173
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    • 2003
  • For the measurement of mass flow rate at a wide range of operation conditions, it is required that the critical nozzle gas different diameters, since the mass flow rate through the critical nozzle depends on the nozzle supply conditions and the nozzle throat diameter. In the present study, both computational and experimental investigations are performed to explore the variable critical nozzle. Computational work using the 2-dimensional, axisymmetric, compressible Navier-Stokes equations are carried out to simulate the gas flow through variable critical nozzle. In experimnet, a cylinder with several different diameters is inserted into the critical nozzle to vary the nozzle throat diameter. Computational results are compared with the experimented ones. The computed results are in close agreement with experiment. It is found that the displacement and momentum thickness of variable critical nozzle are given as a function of Reynolds numbers. The discharge coefficient of the variable critical nozzle is predicted using an empirical equation.

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Computations of the Bleed-Pump Type Subsonic/Sonic Ejector Flows (추기 펌프형 아음속/음속 이젝터유동에 관한 수치해석적 연구)

  • Choe, Bo-Gyu;Gu, Byeong-Su;Kim, Hui-Dong;Kim, Deok-Jul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.2
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    • pp.269-276
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    • 2001
  • This paper dipicts the computational results for the axisymmetric subsonic/sonic ejector systems with a second throat. The numerical simulations are based on a fully implicit finite volume scheme of the compressible Reynolds-Averaged Navier-Stokes equation in a domain that extends from the stagnation chamber to the ejector diffuser exit. In order to obtain practical design factors for subsonic/sonic ejector systems, the ejector throat area, the mixing section configuration, and the ejector throat length were changed in computations. For the subsonic/sonic ejector systems operating in the range of low operation pressure ratio, the effects of the design factors on the flow are discussed.

Cavitation Noise Prediction: Direct numerical simulation and Modeling (직접 수치 모사를 통한 캐비테이션 소음 예측 및 모델링)

  • Seo, Jung-Hee;Moon, Young-J.
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2929-2934
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    • 2007
  • Prediction methods for cavitation noise are presented. At first, direct numerical simulation of cavitating flow noise has been performed, and acoustic analogy equation based on the cavitation noise modeling is derived. For the direct numerical simulation, a density based homogenous equilibrium model is employed to simulate cavitating two-phase flow and the governing equations are solved with high-order numerical schemes to resolve cavitation noise. The compressible Navier-Stokes equations for mixture fluids are discretized with a sixth-order central compact scheme, and the steep gradient of flow variables and supersonic regions are treated with the selective spatial filtering technique. The direct simulation of cavitating flow noise is performed for a 2D circular cylinder at cavitation number 0.7 and 1. The far-field noise is also predicted with the derived analogy equation. Noise spectrum predicted with the equation is well compared with the result of direct numerical simulation and also agree well with the theory.

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Computation of supersonic turbulent base flow using two-equation and Reynolds stress models (2-방정식 및 레이놀즈 응력 모형을 이용한 초음속 난류 기저유동의 수치적 계산)

  • Kim M. H.;Park S. O.
    • Journal of computational fluids engineering
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    • v.2 no.2
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    • pp.9-17
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    • 1997
  • The performance of several turbulence models in computing an axisymmetric supersonic base flow is investigated. A compressible Navier-Stokes code, which incorporates k-ε, k-ω model and Reynolds stress closure with three kinds of pressure-strain correlation model, has been developed using implicit LU-SGS algorithm with second-order upwind TVD scheme. Numerical computations have been carried out for Herrin and Dutton's base flow. It is observed that the two-equation models give large backward axial velocity approaching to the base and somewhat larger variation of base pressure distribution than the Reynolds stress model. It is also found that the Reynolds stress model with third order pressure-strain model in the anisotropy tensor predicts most accurate mean flow field.

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Steady State Analysis of Magnetic Head Slider at Ultra Low Clearance (마그네틱 헤드 슬라이더의 極小 空氣膜에 대한 定常狀態 解析)

  • 장인배;한동철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.4
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    • pp.764-770
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    • 1989
  • This paper analyze the steady state performance of a self-acting air lubricated slider bearing in hard disk/head system. Modified Reynolds' equation is derived from the steady state compressible Navier-Stokes equation, under slip-flow conditions. Finite difference technique and numerical procedure are described by using Newton-Raphson iteration method to slove the non-linear equations. These techniques are applied to conventional slider bearings and the effects of molecular mean free path(MMFP) for a recording surface of hard disk are shown. The calculation procedure developed here, wide applicabilities in practical head design procedures, and converges rapidly.

A Numerical Analysis of Pulse-Jet Cleaning Characteristics for Ceramic Filter System Design (세라믹필터 집진장치의 역세정 시스템 설계를 위한 유동해석)

  • 정재화;서석빈;김시문;안달홍;김종진
    • Journal of Energy Engineering
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    • v.12 no.3
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    • pp.197-206
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    • 2003
  • A numerical analysis of the pulse-jet cleaning characteristics in a porous ceramic candle filter system was performed. To obtain the detailed velocity and pressure distribution during the cleaning process in a porous filter system, the axi-symmetric compressible Navier-Stokes equations including energy conservation equation were solved by using the FLUENT code which adopts FVM (Finite Volume Method). The effects of pulse cleaning nozzle diameter, nozzle tip position, permeability of a porous ceramic candle filter, diffuser throat diameter, and cleaning pressure on the cleaning flow characteristics were investigated extensively.

Dynamic Stall Control Using Aerodynamic Sensitivity Analysis (민감도 해석을 이용한 동적실속 제어)

  • Ahn, Tai-Sul;Kim, Hyoung-Jin;Kim, Chong-Am;Rho, Oh-Hyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.8
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    • pp.10-20
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    • 2002
  • The present paper investigates methods to control dynamic stall using an optimal approach. An unsteady aerodynamic sensitivity analysis code is developed by a direct differentiation method from a two-dimensional unsteady compressible Navier-Stokes solver including a two-equation turbulence model. Dynamic stall control is conducted by minimizing an objective function defined at an instant instead of integrating for a period of time. Unsteady sensitivity derivatives of the objective function are calculated by the sensitivity code, and optimization is carried out using a linear line search method at every physical time step. Numerous examples of dynamic stall control using control parameters such as nose radius, maximum thickness of airfoil, or suction show satisfactory results.

Compressibility correction of the Panel Method in Flow Analysis of a High Subsonic Turbine Cascade (고 아음속 터빈 캐스케이드 유동 해석을 위한 패널법의 압축성 보정)

  • Kim, Hark-Bong;Kim, Jin-Kon;Kwak, Jae-Su;Kang, Jeong-Seek
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2007.11a
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    • pp.49-54
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    • 2007
  • Flow analysis in a turbine cascade by Euler or Navier-Stokes equation gives relatively accurate solution, however, those method require large computer memory or computing time. on contrast, the panel method, which is applied to incompressible and inviscid flow, provides fast and reasonal solution but the compressibility correction is required for a high air velocity case. In this paper, the compressibility corrected panel method was applied in order to find velocity distribution on turbine blades. Results showed that the calculated velocity in a turbine cascade by the compressibility corrected panel method gave good agreement with experimental results or the solution by finite volume method for compressible flow.

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Compressibility correction of the Panel Method in Flow Analysis of a High Subsonic Turbine Cascade (고 아음속 터빈 캐스케이드 유동 해석을 위한 패널법의 압출성 보정)

  • Kim, Hark-Bong;Kim, Jin-Kon;Kwak, Jae-Su;Kang, Jeong-Seek
    • Journal of the Korean Society of Propulsion Engineers
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    • v.12 no.1
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    • pp.23-28
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    • 2008
  • Flow analysis in a turbine cascade by Euler or Navier-Stokes equation gives relatively accurate solution, however, those method require large computer memory or computing time. On contrast, the panel method, which is applied to incompressible and inviscid flow, provides fast and reasonal solution but the compressibility correction is required for a high air velocity case. In this paper, the compressibility corrected panel method was applied in order to find velocity distribution on turbine blades. Results showed that the calculated velocity in a turbine cascade by the compressibility corrected panel method gave good agreement with the solution by finite volume method for compressible flow.