• 제목/요약/키워드: Prandtl

검색결과 276건 처리시간 0.022초

Prandtl 수에 따른 옵셋 스트립 핀에서의 열 및 유동 분석 (Thermo-Flow Analysis of Offset-Strip Fins according to Prandtl Number)

  • 주윤식;공동현;이관수
    • 설비공학논문집
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    • 제21권6호
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    • pp.340-346
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    • 2009
  • This paper numerically investigates thermo-flow characteristics of offset strip fins to obtain a correlation between heat transfer and pressure drop. The flow was divided into three regimes, i.e. laminar, transition and turbulent. The predicted j and f values from the SST k-$\omega$ turbulence model agreed with previous correlations with the error less than 20% in transition and turbulent regimes. Heat transfer and pressure drop were predicted by varying Prandtl number from 0.5 to 40. The Prandtl number showed little effects on pressure drop but had great effect on the heat transfer characteristics. An overall correlation to predict j was suggested by incorporating the effect of Pr and a new j correlation was suggested for each Pr.

Passive Prandtl-Meyer Expansion Flow with Homogeneous Condensation

  • Baek, Seung-Cheol;Kwon, Soon-Bum;Kim, Heuy-Dong
    • Journal of Mechanical Science and Technology
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    • 제18권3호
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    • pp.407-418
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    • 2004
  • Prandtl-Meyer expansion flow with homogeneous condensation is investigated experimentally and by numerical computations. The steady and unsteady periodic behaviors of the diabatic shock wave due to the latent heat released by condensation are considered with a view of technical application to the condensing flow through steam turbine blade passages. A passive control method using a porous wall and cavity underneath is applied to control the diabatic shock wave. Two-dimensional, compressible Navier-Stokes with the nucleation rate equation are numerically solved using a third-order TVD (Total Variation Diminishing) finite difference scheme. The computational results reproduce the measured static pressure distributions in passive and no passive Prandtl-Meyer expansion flows with condensation. From both the experimental and computational results, it is found that the magnitude of steady diabatic shock wave can be considerably reduced by the present passive control method. For no passive control, it is found that the diabatic shock wave due to the heat released by condensation oscillates periodically with a frequency of 2.40㎑. This unsteady periodic motion of the diabatic shock wave can be completely suppressed using the present passive control method.

水平 同心圓二重 環狀密閉 空間에서의 Conjugate 自然對流 熱傳達 (Conjugate Natural Convection in Double Enclosed Annuli Between Horizontal Concentric Cylinders)

  • 손병진;강희영
    • 대한기계학회논문집
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    • 제9권4호
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    • pp.430-439
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    • 1985
  • 본 연구에서는 유한차분법을 사용하여 지배방정식의 수치해를 구하였으며, 특 히 유체와 고체 사이의 접촉면조건에서 correlation인자를 도입하여 K/$_{s}$/ $K_{f}$ 비가 큰 값에서는 수치해를 얻을 수가 있었다. 그리고 실험에서 여러가지 $K_{s}$/ $K_{f}$값에 대하여 온도를 측정하였으며, 여기서 계산치와 비교하면서 correlation인 자의 신뢰도를 조사하였다. 수평 이중 환상밀폐공간에서 유선 및 등온선을 여러가지 무차원 변수에 대하여 나타내었다. 등가 열전도도(equivalent conductivity)를 정의 하여 도입하고 $K_{s}$/ $K_{f}$값 중간 셸 두께, Prandtl 그리고 Rayleigh수에 대한 영향을 조사하여 이중 밀폐공간에서의 conjugate 자연대류 열전달특성을 연구하였다..였다..

Transient Buoyant Flows of a Stratified Fluid in a Vertical Channel

  • Park, Jun-Sang
    • Journal of Mechanical Science and Technology
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    • 제15권5호
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    • pp.656-664
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    • 2001
  • A theoretical analysis is performed to describe the qualitative behavior of transient buoyant flows in a vertical channel. Consideration is given to the case of a fluid with a pre-existing stratification. The fluid motion is generated by giving impulsive anti-symmetric step-changes in temperature at the vertical left ad right sidewalls. The qualitative character of the flow is shown to be classified in the Rayleigh number (Ra)-Prandtl number ($sigma$) diagram. The transitory approach to the steady state can be monotonic or oscillatory, depending on ($sigma$-1)$^2$$pi$$^4$ 4$sigma$$R_a$. The prominent characteristics of time-dependent flow are discussed for large $R_a$. The profiles of temperature and velocity in the transient phase are depicted, which disclose distinctive time scales of motion. The transient process is shown to be sensitive to the Prandtl number. The detailed evolutions of flow and temperature fields are illustrated for large $R_a$.

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The Coupling of Conduction with Free Convection Flow Along a Vertical Flat Plate in Presence of Heat Generation

  • Taher, M.A.;Lee, Yeon-Won
    • Journal of Advanced Marine Engineering and Technology
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    • 제31권7호
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    • pp.833-841
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    • 2007
  • The aim of this paper is to analyze the conjugate problems of heat conduction in solid walls coupled with laminar free convection flow adjacent to a vertical flat plate under boundary layer approximation. Using the similarity transformations the governing boundary layer equations for momentum and energy are reduced to a system of partial differential equations and then solved numerically using Finite Difference Method(FDM) known as the Keller-box scheme. Computed solutions to the governing equations are obtained for a wide range of non-dimensional parameters that are present in this problem, namely the coupling parameter P. the Prandtl number Pr and the heat generation parameter Q. The variations of the local heat transfer rate as well as the interface temperature and the friction along the plate and typical velocity and temperature profiles in the boundary layer are shown graphically. Numerical solutions have been consider for the Prandtl number Pr=0.70

사각채널 내 고 Pr 수의 혼합대류 볼텍스 유동에 관한 3차원 수치적 연구 (Three-Dimensional Numerical Study on Mixed Convective Vortex Flow in Rectangular Channels at High Prandtl Number)

  • 박일룡;배대석
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2005년도 후기학술대회논문집
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    • pp.29-30
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    • 2005
  • A three-dimensional numerical calculation has been performed to investigate mixed convective vortex flow in rectangular channels(width/height=4) with the upper part cooled and the lower part heated uniformly. In this study, the Prandtl number was 909, the Reynolds number was varied from 0 to $9.6{\times}10^{-2}$ and the Rayleigh number from $10^3$ to $5{\times}10^4$. The governing equations were discretized using the finite volume method. From a parametric study, velocity and temperature distributions were obtained and discussed. It is found that vortex flow of mixed convection in rectangular channels can be classified into three flow patterns which depend on Reynolds and Rayleigh numbers, and the regular vortex structure disappears around Rayleigh number $5{\times}10^4$.

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P-N 근사법을 이용한 원관주위 층류 경계층내 조합 열전달 전달 특성 해석 (A Numerical Analysis of Characteristics of Combined Heat Transfer in Laminar Layer Along Cylinderical Periphery by P-N Method)

  • 이종원;이창수
    • Journal of Advanced Marine Engineering and Technology
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    • 제19권2호
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    • pp.10-19
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    • 1995
  • Heat trnasfer for absorbing and emitting media in laminar layer along the cylinders has been analyzed. Governing equation are transformed to local nonsimilarity equations by the dimensional analysis. The effects of the Stark number, Prandtl number, Optical radius and wall emissivity are mainly investigated. For the formal solution a numerical integration is performed and the results are compared with those obtained by P-1 and P-3 approximation. The results show that boundary layers consist of conduction-convection-radiation layer near the wall and convection-radiation layer far from the wall. As the Stark number of wall emissivity increases the local radiative heat flux is increased. The Pradtl number or curvature variations do not affect the radiative heat flux from the wall, but The Prandtl number or wall emissivity variations affect the conduction heat flux. Consequently the total heat flux from the wall are affected by the Prandtl number or wall emissivity variation.

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좁은 수평 환형공간에서의 낮은 Prandtl 수 유체의 자연 대류 (Natural Convection of Low-Prandtl-Number Fluids in a Narrow Horizontal Annulus)

  • 유주식
    • 대한기계학회논문집B
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    • 제22권12호
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    • pp.1784-1795
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    • 1998
  • Natural convection of low Prandtl number fluids with $Pr{\leq}0.2$ in a narrow horizontal annulus is numerically investigated. For $Pr{\leq}0.2$, hydrodynamic instability induces oscillatory multicellular flows consisting of multiple like-rotating cells. For a fluid with $Pr{\approx}0$, the region in which instability of conduction regime first forms is near the vertical section of annulus, and the multiple cells are distributed uniformly in the lower and upper regions of annulus. As Pr increases, however, the cells are shifted upwards. The like-rotating cells drift downward, as time goes on, and the speed of travel increases with increase of Pr. For a fluid with Pr=0.1, a flow with period-4 solution is observed between chaotic states.