• Title/Summary/Keyword: Mean Vorticity

Search Result 79, Processing Time 0.022 seconds

Effects of Dilatation and Vortex Stretching on Turbulence in One-Dimensional and Axisymmetric Flows (일차 및 축대칭유동에서 밀도변화가 난류에 미치는 영향)

  • Kim Jin-Hwa;Yoo Jung Yul;Kang Shin-Hyoung
    • Proceedings of the KSME Conference
    • /
    • 2002.08a
    • /
    • pp.831-834
    • /
    • 2002
  • An analytic approach is attempted to predict the amplification of turbulence in compressible flows experiencing one-dimensional and axisymmetric bulk dilatation. The variations of vortex radius and vorticity are calculated, and then the amplification of turbulence is obtained from them by tracking three representative vortices. For a one-dimensionally compressed flow, the present analysis slightly underestimates the amplification of velocity fluctuations and turbulent kinetic energy, relative to that of rapid distortion theory in the solenoidal limit. For an axisymmetrically distorted flow, the amplification of velocity fluctuations and turbulent kinetic energy depend not only on the density ratio but also on the ratio of streamwise mean velocities, which represents streamwise vortex contraction/stretching. In all flows considered, the amplification of turbulence is dictated by the mean density ratio. In the axisymmetric flow, streamwise vortex stretching/contraction, however, alters the amplification slightly.

  • PDF

A Tensor Invariant Dissipation Equation Accounting for Extra Straining Effects (이차적인 변형률효과를 고려한 텐서 불변성 난류에너지 소산율방정식)

  • 명현국
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.4
    • /
    • pp.967-976
    • /
    • 1994
  • A tensor invariant model equation for the turbulent energy dissipation rate is proposed in the present study, which is able to simulate secondary straining effects such as curvature effects without the introduction of additional empirical input. The source term in this model has a combined form of the generation term due to the mean vorticity with the conventional one due to the mean strain rate. An extended low-Reynolds-number $k-\epsilon$ turbulence model involving this new model equation is tested for a turbulent Coutte flow between coaxial cylinders with inner cylinder rotated, which is a well defined example of curved flows. The predicted results indicate that the present model works much better for this flow, compared with previous models.

The Velocity distributions of Dividing Region to Internal Wall and External Wall in 90$^{\circ}$ Dividing Duct (90$^{\circ}$분기덕트에서 분기부의 내 .외벽의 속도분포)

  • 이행남;박길문;손현철;이덕구;이종구;김대욱
    • Proceedings of the Korean Society of Marine Engineers Conference
    • /
    • 2002.05a
    • /
    • pp.35-39
    • /
    • 2002
  • The flow characteristics in a bifurcated duct are investigated experimentally. Physical properties such as mean velocity vectors, mean vorticity and total pressure distributions are obtained for three different Reynolds numbers(578, 620, 688) using PIV measurements and CFD analysis. Also, dividing duct $90^{\circ}$ were selected for study. The results of this study would be useful to the engineer in designing the flow systems for heating, ventilation, air conditioning and wastewater purification plants.

  • PDF

The Near Field Structure of Initially Asymmetic Jets (비대칭분류의 노즐출구영역에서의 난류유동장 해석)

  • Kim, K.H.;Shin, J.K.;Lee, H.Y.
    • Journal of ILASS-Korea
    • /
    • v.4 no.4
    • /
    • pp.38-45
    • /
    • 1999
  • The near field structure of round turbulent jets with initially asymmetric velocity distribution is investigated experimentally. Experiments were carried out using a constant temperature hot-wire anemometry system to measure streamwise velocity in the jets. The measurements were undertaken across the jet at various streamwise stations in a range starting from the jet exit plane and up to a downstream location of twelve diameters. The experimental results include the distribution of mean and instantaneous velocities, vorticity field, turbulence intensity, and the Reynolds shear stress. The asymmetry of the jet exit plane was obtained by using circular cross-section pipes with a bend at the upstream of the exit. Three pipes were used for this study: A straight pipe, 90 and 160 degree-bended pipes. Therefore, at the upstream of the pipe exit, the secondary flow through the bend and the mean streamwise velocity distribution could be controlled by changing the curvature of pipes.

  • PDF

Proposal of a New Parameter for Extra Straining Effects (이차적인 변형률효과를 나타내는 새로운 변수의 제안)

  • 명현국
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.1
    • /
    • pp.184-192
    • /
    • 1994
  • The parameters such as Richardson numbers or stability parameters are widely used to account for the extra straining effects due to three-dimensionality, curvature, rotation, swirl and others arising in paractical complex flows. Existing expressions for the extra strain in turbulence models such as $k-{\epsilon}$ models, however, do not satisfy the tensor invariant condition representing the coordinate indifference. In the present paper, considering the characteristics of both the mean strain rate and the mean vorticity, a new parameter to deal with the extra straining effects is proposed. The new parameter has a simple form and satisfies the tensor invariant condition. A semi-quantitative analysis between the present and previous parameters for several typical complex flows suggests that the newly proposed parameter is more general and adequate in representing the extra straining effects than the previous ad-hoc parameters.

Self-excited Variability of the East Korea Warm Current: A Quasi-Geostyophic Model Study

  • Lee, Sang-Ki
    • Journal of the korean society of oceanography
    • /
    • v.34 no.1
    • /
    • pp.1-21
    • /
    • 1999
  • A two-layer quasi-geostrophic numerical model is used to investigate the temporal variability of the East Korea Warm Current (EKWC), especially the separation from the Korean coast and the generation of warm eddies. An attention is given on the active role of the nonlinear boundary layer process. For this, an idealized flat bottom model of the East Sea is forced with the annual mean wind curl and with the inflow-outflow specified at the Korea (Tsushima) and Tsugaru Straits. Two types of separation mechanisms are identified. The first one is influenced by the westward movement of the recirculating leg of the EKWC (externally driven separation),the second one is solely driven by the boundary layer dynamics (internally driven separation). However, these two processes are not independent, and usually coexist. It is hypothesized that 'internally driven separation' arises as the result of relative vorticity production at the wall, its subsequent advection via the EKWC, and its accumulation up to a critical level characterized by the separation of the boundary flow from the coast. It is found that the sharp southeastern corner of the Korean peninsula provides a favorable condition for the accumulation of relative vorticity. The separation of the EKWC usually accompanies the generation of a warm eddy with a diameter of about 120 km. The warm eddy has a typical layer-averaged velocity of 0.3 m/s and its lifespan is up to a year. In general, the characteristics of the simulated warm eddy are compatible with observations. A conclusion is therefore drawn that the variability of the EKWC is at least partially self-excited, not being influenced by any sources of perturbation in the forcing field, and that the likely source of the variability is the barotropic instability although the extent of contribution from the baroclinic instability remains unknown. The effects of the seasonal wind curl and inflow-outflow strength are also investigated.

  • PDF

A Case Study on Typhoon-Midlatitude Synoptic System Interaction: Typhoons Rusa(0215) and Maemi(0314) (태풍-중위도 종관 시스템 상호작용 연구: 루사(0215), 매미(0314) 사례분석)

  • Choi, Ki-Seon;Kim, Baek-Jo;Park, Jong-Kil
    • Journal of Environmental Science International
    • /
    • v.16 no.9
    • /
    • pp.1051-1061
    • /
    • 2007
  • The impact of midlatitude synoptic system (upper-level trough) on typhoon intensity change was investigated by analyzing the spatial and temporal characteristics of vertical wind shear (VWS), relative eddy momentum flux convergence (REFC), and potential vorticity (PV). These variables were computed over the radial mean $300{\sim}1,000km$ from the typhoon center by using GDAPS (Global Data Assimilation and Prediction System) data provided by the Korea Meteorological Administration (KMA). The selected cases in this study are typhoons Rusa (0215) and Maemi (0314), causing much damage in life and property in Korea. Results show that the threshold value of VWS indicating typhoon intensity change (typhoon to severe tropical storm) is approximately 15 m/s and of REFC ranges 6 to 6.5 $ms^{-1}day^{-1}$ in both cases, respectively. During the period with the intensity of typhoon class, PVs with 3 to 3.5 PVU are present in 360K surface-PV field in the cases. In addition, there is a time-lag of 24 hours between central pressure of typhoon and minimum value of VWS, meaning that the midlatitude upper-level trough interacts with the edge of typhoon with a horizontal distance less than 2,000 km between trough and typhoon. That is, strong midlatitude upper-level divergence above the edge of the typhoon provides a good condition for strengthening the vertical circulation associated with the typhoons. In particular, when the distance between typhoon and midlatitude upper-level trough is less than 1,000 km, the typhoons tend to weaken to STS (Severe Tropical Storm). It might be mentioned that midlatitude synoptic system affects the intensity change of typhoons Rusa (0215) and Maemi (0314) while they moves northward. Thus, these variables are useful for diagnosing the intensity change of typhoon approaching to the Korean peninsula.

Characteristics of Concentration Variations and Synoptic Conditions by the Lasting Time of Asian Dust (황사의 지속시간에 따른 대기 중 농도변동 및 종관기상장 특성)

  • 김유근;송상근;강재은
    • Journal of Korean Society for Atmospheric Environment
    • /
    • v.20 no.4
    • /
    • pp.465-481
    • /
    • 2004
  • We determined Asian dust days by constructing the standard of Asian dust using PM$_{10}$ concentrations ($\geq$150 $\mu\textrm{g}$m$^{-3}$ , 24-hr average) and TOMS aerosol index ($\geq$0.7) for 5 years (1998-2002), and grouped Into long-lasted cases (LLCs, $\geq$4 days) and short-lasted cases (SLCs, $\leq$2 days) concerning the mean lasting time (about 3 days) of Asian dust. Further we performed the specific analyses associated with concentration variations and synoptic conditions by using PM$_{10}$ and TOMS data, weather maps during the dusty cases (LLCs and SLCs). As a result, the LLCs (9 cates) had large variations of PM$_{10}$ concentration as the mean of 131.1$\mu\textrm{g}$m$^{-3}$ and the maximum mean of 379.8$\mu\textrm{g}$m$^{-3}$ , and showed dominant features the continuous passage of deep trough caused by blocking effect and weak trough (56%, 5 cases) over Korea. The SLCs (11 cases) had relatively small variations of PM$_{10}$ concentration as the mean of 133.3$\mu\textrm{g}$m$^{-3}$ and the maximum mean of 247.2$\mu\textrm{g}$m$^{-3}$ , and showed passage of one weak trough (64%, 7 cases) over Korea. Thereafter, the case studies (April 7-13, 2002 of LLC and March 23-24, 2000 of SLC) performed by the simulation of MM5 with meteorological variables of the horizontal wind, potential temperature, isentropic potential vorticity, and helped to better understand the features of synoptic conditions in connection with the concentration variations for each case.

A Numerical Solution Method of the Boundary Integral Equation -Axisymmetric Flow- (경계적분방정식의 수치해법 -축대칭 유동-)

  • Chang-Gu,Kang
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.27 no.3
    • /
    • pp.38-46
    • /
    • 1990
  • A numerical solution method of the boundary integral equation for axisymmetric potential flows is presented. Those are represented by ring source and ring vorticity distribution. Strengths of ring source and ring vorticity are approximated by linear functions of a parameter $\zeta$ on a segment. The geometry of the body is represented by a cubic B-spline. Limiting integral expressions as the field point tends to the surface having ring source and ring vorticity distribution are derived upto the order of ${\zeta}ln{\zeta}$. In numerical calculations, the principal value integrals over the adjacent segments cancel each other exactly. Thus the singular part proportional to $\(\frac{1}{\zeta}\)$ can be subtracted off in the calculation of the induced velocity by singularities. And the terms proportional to $ln{\zeta}$ and ${\zeta}ln{\zeta}$ can be integrated analytically. Thus those are subtracted off in the numerical calculations and the numerical value obtained from the analytic integrations for $ln{\zeta}$ and ${\zeta}ln{\zeta}$ are added to the induced velocity. The four point Gaussian Quadrature formula was used to evaluate the higher order terms than ${\zeta}ln{\zeta}$ in the integration over the adjacent segments to the field points and the integral over the segments off the field points. The root mean square errors, $E_2$, are examined as a function of the number of nodes to determine convergence rates. The convergence rate of this method approaches 2.

  • PDF

Flow and Heat Transfer Characteristics of Heat Exchanger Tube Bank with the Sinusoidal Inlet Velocity (정현파 입구 속도 변동에 따른 열교환기 관군의 유동 및 열전달 특성)

  • Ha, Ji Soo
    • Journal of the Korean Institute of Gas
    • /
    • v.25 no.1
    • /
    • pp.14-19
    • /
    • 2021
  • The change of the vorticity and the temperature distribution in heat exchanger tube bank were analyzed for the flows with the constant inlet velocity and the sinusoidal inlet velocity. The flow frequency characteristics were examined by analyzing power spectral density of lift and drag at a typical circular tube in the tube bank. Karman vortex street could be seen at the upstream region of tube bank for the case of constant inlet velocity. It could be seen that the Karman vortex street was affected by the change of inlet velocity near the circular tubes for the case with the sinusoidal inlet velocity. It was observed that the unsteady temperature distributions for both inlet velocity conditions had almost the same motion as the flow vorticity behavior. The flow frequency for the case with the constant inlet velocity is 37.25Hz, and that with the sinusoidal inlet velocity, the flow frequency is 18.63Hz, which is equal to the sinusoidal inlet velocity. The mean surface Nusselt number(Nu) for overall heat exchanger tube bank was 1051 for the case with the constant inlet velocity and 1117 for the case with the sinusoidal inlet velocity. From the result of heat transfer analysis, it could be seen that Nu with the sinusoidal inlet velocity showed 6.3% increase than that with the constant inlet velocity.