• Title/Summary/Keyword: turbulent eddy viscosity

Search Result 81, Processing Time 0.034 seconds

Numerical analysis of turbulent natural convection in a cylindrical transformer enclosure (변압기를 모델링한 두 개의 동심 원형 실린더 내에서 난류 자연대류의 수치해석)

  • 오건제;하수석
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.11 no.2
    • /
    • pp.157-166
    • /
    • 1999
  • Numerical calculations of turbulent natural convection in an enclosure of the 20 kYA oil-immersed transformer model are presented. The transformer is modelled as two concentric cylinders with different heights and diameters. The thermal boundary layers are well represented in the temperature distributions along the wall of the transformer model. The flow stratification between the hot and cold walls can not be seen in the transformer model. The turbulence eddy viscosity has its maximum at the center of the core and its maximum values at the top of the core are larger than those at the bottom of the core.

  • PDF

Numerical Calculation of Turbulent Boundary Layer on Rotating Helical Blades (회전(回轉)하는 나선(螺旋)날개 위에서의 경계층(境界層) 해석(解析))

  • Keon-Je,Oh;Shin-Hyoung,Kang
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.21 no.2
    • /
    • pp.9-17
    • /
    • 1984
  • Laminar and turbulent boundary layers on a rotating sector and a helical blade are calculated by differential method. The estimation of three dimensional viscous flows provide quite useful informations for the design of propellers and turbo-machinery. A general method of calculation is presented in this paper. Calculated laminar boundary layer on a sector shows smooth development of flows from Blasius' solution at the leading edge to von Karman's solution of a rotating disk at the down-stream. Eddy viscosity model is adopted for the calculation of turbulent flows. Turbulent flows on a rotating blade show similar characters as laminar flows. But cross-flow angle of turbulent flows are reduced in comparison with laminar boundary layers. Effects of rotation make flow structures significantly different from two-dimensional flows. In the range of Reynolds number of model scale propellers, large portion of the blade are still in the transition region from laminar to turbulent flows. Therefore viscous flow pattern might be quite different on the blade of model propeller. The present method of calculation is to be useful for the research of scale effects, cavitation, and roughness effects of propeller blades.

  • PDF

A Mathematical Model of Undertow in the Surf Zone (쇄파대(碎波帶)에서 undertow에 관한 수학적(數學的) 모형(模型))

  • Lee, Jong Sup;Park, Il Heum
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.13 no.3
    • /
    • pp.193-206
    • /
    • 1993
  • An analytical model of undertow is presented in the surf zone. Each term of the derived governing equation is evaluated by the ordering methods. Then the turbulent normal stresses and the streaming velocity terms are neglected. The driving force of undertow is derived from the wave profile which is approximated by the 4th order Chebyshev polynomials. The three types of vertical distribution of eddy viscosity are assumed and the coefficient of eddy viscosity is decided from the new boundary condition. So the input parameters for the calculation of undertow become very simple. The theoretical solutions of the present model are compared with the various experimental results. This model shows a good agreement with the experimental results in the case of mild slope and linear type eddy viscosity.

  • PDF

On Subgrid-Scale Models for Large-Fddy Simulation of Turbulent Flows (난류유동의 큰 에디 모사를 위한 아격자 모델)

  • Gang, Sang-Mo
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.24 no.11
    • /
    • pp.1523-1534
    • /
    • 2000
  • The performance of a number of existing dynamic subgrid-scale(SGS) models is evaluated in large-eddy simulations(LES) of two prototype transitional and turbulent shear flows, a planar jet and a channel flow. The dynamic SGS models applied include the dynamic Smagorinsky model(DSM);Germano et al. 1991, Lully 1992), the dynamic tow-component model(DTM; Akhavan et al. 2000), the dynamic mixed model(DMM;Zang et al, 1993). and the dynamic two-parameter model(DTPM; Salvetti & Banerjee 1995). The results are compared with those for DNS for their evaluation. The LES results demonstrate the superior performance of DTM with use of a sharp cutoff filter and DMM with use of a box filter, as compared to their respect counterpart DSM, in predicting the mean statistics, spectra and large-scale structure of the flow, Such features of DTM and DMM derive from the construction of the models in which tow separate terms are included to represent the SGS interactions; a Smagorinsky edd-viscosity term to account for the non-local interactions, and a local-interaction term to account for the nonlinear dynamics between the resolved and subgrid scales in the vicinity of the LES cutoff. As well, overall the SGS models using a sharp cutoff filter are more successful than those using a box filter in capturing the statistics and structure of the flow. Finally, DTPM is found to be compatible or inferior to DMM.

LES of Supercritical Combustion of Shear-coaxial Injector of a Methane-LOx Liquid Rocket Engine (액체로켓(메탄-LOx) 동축인젝터의 초임계 연소 LES 연구)

  • Heo, Jun-Young;Kim, Kuk-Jin;Sung, Hong-Gye;Yang, Vigor
    • Proceedings of the Korean Society of Propulsion Engineers Conference
    • /
    • 2010.05a
    • /
    • pp.190-193
    • /
    • 2010
  • The turbulent mixing and combustion of a shear coaxial injector under supercritical pressures have been theoretically/numerically investigated. Turbulent numerical model is based on large eddy simulation with real-fluid transport and thermodynamics over the entire pressure; Soave modification of Redlich-Kwong equation of state, Chung's model for viscosity/conductivity, and Fuller's theorem for diffusivity to take account Takahashi's compressible effect. The results are compared with previous researcher's. The large-scale vortices shedding from the outer rim into the recirculation region to react with gaseous oxygen was investigated.

  • PDF

Validation of RANS models and Large Eddy simulation for predicting crossflow induced by mixing vanes in rod bundle

  • Wiltschko, Fabian;Qu, Wenhai;Xiong, Jinbiao
    • Nuclear Engineering and Technology
    • /
    • v.53 no.11
    • /
    • pp.3625-3634
    • /
    • 2021
  • The crossflow is the key phenomenon in turbulent flow inside rod bundles. In order to establish confidence on application of computational fluid dynamics (CFD) to simulate the crossflow in rod bundles, three Reynolds-Averaged Navier Stokes (RANS) models i.e. the realizable k-ε model, the k-ω SST model and the Reynolds stress model (RSM), and the Large Eddy simulations (LES) with the Wall-Adapting Local Eddy-viscosity (WALE) model are validated based on the Particle Image Velocimetry (PIV) flow measurement experiment in a 5 × 5 rod bundle. In order to investigate effects of periodic boundary condition in the gap, the numerical results obtained with four inner subchannels are compared with that obtained with the whole 5 × 5 rod bundle. The results show that periodic boundaries in the gaps produce strong errors far downstream of the spacer grid, and therefore the full 5 × 5 rod bundle should be simulated. Furthermore, it can be concluded, that the realizable k-ε model can only provide reasonable results very close to the spacer grid, while the other investigated models are in good agreement with the experimental data in the whole downstream flow in the rod bundle. The LES approach shows superiority to the RANS models.

Turbulence Structures of Flow in Concentric Annuli with Rough Outer Wall (외벽에 거칠기가 있는 이중동심관 유동의 난류구조)

  • 김경천;안수환;이병규
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.9
    • /
    • pp.2443-2453
    • /
    • 1994
  • The structure of turbulence of fully developed flow through four concentric annuli with the rough outer wall was investigated experimentally for a Reynolds number range Re=15, 000-93, 000. Turbulence intensities were measured in three(u, v, w) directions, and turbulence shear stresses in annuli of radius=0.13, 0.26, 0.4 and 0.56, respectively. Due to the square roughness element attached periodically along the axial direction, the radial velocity fluctuations show similar distribution regardless of the different .alpha.cases. However, the axial and circumferential velocity fluctuation profiles demonstrate the longitudinal turbulence structures are strongly influenced by the .alpha. values. The turbulent eddy viscosity deduced form mean velocity distributions and the measured Reynolds shear stresses are also presented and discussed.

Numerical Study for Kerosene Surrogate Model in Supercritical Swirl Injector (초임계 스월 인젝터에서의 케로신 Surrogate 모델에 대한 수치적 연구)

  • Kim, Kuk-Jin;Heo, Jun-Young;Sung, Hong-Gye
    • Proceedings of the Korean Society of Propulsion Engineers Conference
    • /
    • 2010.11a
    • /
    • pp.19-23
    • /
    • 2010
  • Injection characteristics of a kerosene swirl injector of liquid rocket engine operating at supercritical environment have been investigated. Kerosene surrogate models are proposed to model the kerosene properties. Turbulent numerical model is based on large eddy simulation and contains Soave modification of Redlich-Kwong equation of state and Chung's model. Numerical analysis results at supercritical environment are compared with the one at transcritical condition. Differences of density and viscosity are analyzed at both liquid film and core gas in the swirl injector.

  • PDF

Study of the Secondary Flow Effect on the Turbulent Flow Characteristics in Fuel Rod Bundles (핵연료봉 주위의 난류 유동장 특성에 미치는 이차 유동의 영향에 대한 연구)

  • Lee, Kye-Bock;Jang, Ho-Cheol;Lee, Sang-Keun
    • Nuclear Engineering and Technology
    • /
    • v.26 no.3
    • /
    • pp.345-354
    • /
    • 1994
  • Numerical Predictions including secondary flows have been Performed for fully developed turbulent single-phase rod bundle flows. The k-$\varepsilon$ turbulence model(two equation model) for the isotropic eddy viscosity, together with an algebraic stress model for generating secondary velocities, enabled the prediction of mean axial velocities, secondary velocities, and turbulent kinetic energy and turbulent stresses. Comparisons with experiment hate shown that the influence of secondary motion on mean flow and turbulence is dearly evident. The convective transport effects of secondary flow on the velocity field have been identified.

  • PDF

AERODYNAMIC SENSITIVITY ANALYSIS FOR NAVIER-STOKES EQUATIONS

  • Kim, Hyoung-Jin;Kim, Chongam;Rho, Oh-Hyun;Lee, Ki Dong
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.3 no.2
    • /
    • pp.161-171
    • /
    • 1999
  • Aerodynamic sensitivity analysis codes are developed via the hand-differentiation using a direct differentiation method and an adjoint method respectively from discrete two-dimensional compressible Navier-Stokes equations. Unlike previous other researches, Baldwin-Lomax algebraic turbulence model is also differentiated by hand to obtain design sensitivities with respect to design variables of interest in turbulent flows. Discrete direct sensitivity equations and adjoint equations are efficiently solved by the same time integration scheme adopted in the flow solver routine. The required memory for the adjoint sensitivity code is greatly reduced at the cost of the computational time by allowing the large banded flux jacobian matrix unassembled. Direct sensitivity code results are found to be exactly coincident with sensitivity derivatives obtained by the finite difference. Adjoint code results of a turbulent flow case show slight deviations from the exact results due to the limitation of the algebraic turbulence model in implementing the adjoint formulation. However, current adjoint sensitivity code yields much more accurate sensitivity derivatives than the adjoint code with the turbulence eddy viscosity being kept constant, which is a usual assumption for the prior researches.

  • PDF