• 제목/요약/키워드: Prandtl Number Effect

검색결과 51건 처리시간 0.021초

The Onset of Natural Convection and Heat Transfer Correlation in Horizontal Fluid Layer Heated Uniformly from Below

  • Kim, Min-Chan;Kim, Sin
    • Journal of Mechanical Science and Technology
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    • 제15권10호
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    • pp.1451-1460
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    • 2001
  • The critical condition of the onset of buoyancy-driven convective motion of uniformly heated horizontal fluid layer was analysed by the propagation theory which transforms the disturbance quantities similarly. The dimensionless critical time, $\tau$$\sub$c/, is obtained as a function of the Rayleigh number and the Prandtl number. Based on the stability criteria and the boundary-layer instability model, a new heat transfer correlation which can cover whole range of Rayleigh number was derived. Our theoretical results predict the experimental results quite reasonably.

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사각형 거칠기가 있는 동심 이중관내의 완전히 발달된 난류유동과 열전달 (Fully Developed Turbulent Flow and Heat Transfer in Concentric Annuli with Square-Ribbed Roughness)

  • 안수환;김경천;이윤표
    • 대한기계학회논문집
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    • 제18권4호
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    • pp.1072-1080
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    • 1994
  • The fully developed turbulent momentum and heat transfer induced by the square-ribed roughness elements on the outer wall surface in concentric annuli are studied analytically based on a modified turbulence model. The analytical results of the fluid flow are verified by experiment. The resulting momentum and heat transfer are discussed in terms of various parameters, such as the radius ratio, the relative roughness, the roughness density, Reynolds number, Nusselt number and Prandtl number. The study demonstrates that certain artificial roughness elements may be used to enhance heat transfer rates with advantages from the overall efficiency point of view.

강제대류 층류 막응축에서 복합열전달 (Conjugate Heat Transfer of Laminar Film Condensation Along a Horizontal Plate)

  • 이억수
    • 대한기계학회논문집B
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    • 제30권3호
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    • pp.238-245
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    • 2006
  • This paper proposes appropriate conjugate parameters and dimensionless temperatures to analysis the conjugate problem of heat conduction in solid wall coupled with laminar film condensation flow adjacent to horizontal flat plate. An efficient methods for some fluids are proposed for its solution. The momentum and energy balance equations are reduced to a nonlinear system of ordinary differential equations with four parameters: the Prandtl number, Pr, Modified Jacob number, $Ja^*/Pr$, defined by an overall temperature difference, a property ratio $\sqrt{\rho_l{\mu}_l/{\rho_v{\mu}_v}$ and the conjugate parameter $\zeta$. The obtained similarity solution reveals the effect of the conjugate parameter, and the results are compared with the simplified solution. The variations of the heat transfer rates as well as the interface temperature and frictions along the plate are shown explicitly.

Thermal-hydraulic research on rod bundle in the LBE fast reactor with grid spacer

  • Liu, Jie;Song, Ping;Zhang, Dalin;Wang, Shibao;Lin, Chao;Liu, Yapeng;Zhou, Lei;Wang, Chenglong;Tian, Wenxi;Qiu, Suizheng;Su, G.H.
    • Nuclear Engineering and Technology
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    • 제54권7호
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    • pp.2728-2735
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    • 2022
  • The research on the flow and heat transfer characteristics of lead bismuth(LBE) is significant for the thermal-hydraulic calculation, safety analysis and practical application of lead-based fast reactors(LFR). In this paper, a new CFD model is proposed to solve the thermal-hydraulic analysis of LBE. The model includes two parts: turbulent model and turbulent Prandtl, which are the important factors for LBE. In order to find the best model, the experiment data and design of 19-pin hexagonal rod bundle with spacer grid, undertaken at the Karlsruhe Liquid Metal Laboratory (KALLA) are used for CFD calculation. Furthermore, the turbulent model includes SST k - 𝜔 and k - 𝜀; the turbulent Prandtl includes Cheng-Tak and constant (Prt =1.5,2.0,2.5,3.0). Among them, the combination between SST k - 𝜔 and Cheng-Tak is more suitable for the experiment. But in the low Pe region, the deviation between the experiment data and CFD result is too much. The reason may be the inlet-effect and when Pe is in a low level, the number of molecular thermal diffusion occupies an absolute advantage, and the buoyancy will enhance. In order to test and verify versatility of the model, the NCCL performed by the Nuclear Thermal-hydraulic Laboratory (Nuthel) of Xi'an Jiao tong University is used for CFD to calculate. This paper provides two verification examples for the new universal model.

용융 금속의 고화층 증가가 자연대류 열전달에 미치는 영향 (Effect of Crust Increase on Natural Convection Heat Transfer in the Molten Metal Pool)

  • 박래준;최상민;김상백;김희동
    • 대한기계학회논문집B
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    • 제23권2호
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    • pp.226-233
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    • 1999
  • An experimental study has been performed on natural convection heat transfer with a rapid crust formation in the molten metal pool of a low Prandtl number fluid. Two types of steady state tests, a low and high geometric aspect ratio cases in the molten metal pool, were performed. The crust thickness by solidification was measured 88 a function of boundary surface temperatures. The experimental results on the relationship between the Nusselt number and Rayleigh number In the molten metal pool with a crust formation were compared with existing correlations. The experimental study has shown that the bottom surface temperature of the molten metal layer, in all experiments. is the major influential parameter in the crust formation, duo to the natural convection flow. The Nusselt number of the case without a crust formation in the molten metal pool is greater than that of the case with the crust formation at the same Rayleigh number. The present experimental results on the relationship between the Nusselt number and Rayleigh number In the molten metal pool match well with Globe and Dropkin's correlation. From the experimental results, a now correlation between the Nusslet number and Rayleigh number in the molten metal pool with the crust formation was developed as $Nu=0.0923(Ra)^{0.302}$ ($2{\times}10^4< Ra<2{\times}10^7$).

하나의 실린더가 회전하는 수평 환형 공간에서의 혼합 대류 (Mixed Convection in a Horizontal Annulus with a Rotating Cylinder)

  • 유주식;하대홍
    • 한국전산유체공학회지
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    • 제6권3호
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    • pp.1-9
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    • 2001
  • Mixed convection in a horizontal annulus is considered, and the effect of a forced flow on the natural convective flow is investigated. The inner cylinder is hotter than the outer cylinder, and the outer cylinder is rotating with constant angular velocity with its axis at the center of the annulus. The unsteady streamfunction-vorticity equation is solved with a finite difference method. For the fluid with Pr=0.7, there appear flows with two eddies, one eddy, or no eddy according the Rayleigh and Reynolds numbers. The rotation of the outer cylinder reduces the heat transfer rate at the wall of the annulus. The oscillatory multicellular flow of a low Prandtl number fluid with Pr=0.01 can be effectively suppressed by the forced flow.

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액체중의 원형 실린더 주위에서의 강제대류 층류 열전달에 관한 수치해석적 연구 (A Numerical Study on the Laminar convective Heat Transfer around a Circular Cylinder in a Uniform Cross Flow of Liquid)

  • 강신형;홍기혁
    • 설비공학논문집
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    • 제8권1호
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    • pp.26-36
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    • 1996
  • Many researches were carried out to estimate heat transfer rate on a circular cylinder in a uniform flow. Various empirical correlations were suggested in the past through experimental studies, however there are considerable discrepancies in the estimated values of heat transfer coefficient. The effect of fluid physical properties on the forced convective heat transfer between a circular cylinder and the external flow was numerically investigated in the present study, The flow and temperature fields were solved using a Finite Volume Method over a wider range of Prandtl number(0.7-40,000) than existing correlations. The cold as well as the hot cylinders in the uniform liquid flow of constant temperature were investigated. A unified correlation was obtainde for both cases.

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옵셋 스트립 휜을 가로지르는 오일유동의 열전달 2차원 상관관계식 (2 Dimensional Correlations of Heat Transfer of Oil Flows over Offset Strip Fins)

  • 강덕종;신성학;정형호
    • 설비공학논문집
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    • 제14권9호
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    • pp.734-740
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    • 2002
  • In the present study, heat transfer characteristics of oil flow over offset strip fins are predicted by the numerical methods. Oil flow in the plate-fin passage is idealized by 2 dimensions. Inlet velocity, Prandtl number and fin pitch ratio are chosen as parameters which affect the heat transfer of offset strip fins. The effect of parameters on pressure drops and convective heat transfer coefficients are described. Characteristic length is derived in case of 2 dimensional flow situation. Correlations for friction factor and convective heat transfer coefficient are derived.

액적이탈을 고려한 관내 응축열전달계수 계산 모델 (A modeling of in-tube condensation heat transfer considering liquid entrainment)

  • 권정태;안예찬;김무환
    • 대한기계학회논문집B
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    • 제22권7호
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    • pp.946-955
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    • 1998
  • Local condensation heat transfer coefficients in tubes were calculated by solving momentum and energy equations for annular film with liquid entrainment. The turbulent eddy distribution across the liquid film has been proposed and the calculated heat transfer coefficients were presented. Also turbulent Prandtl number effects on condensation heat transfer were discussed from three Pr$\_$t/ models. Finally, the calculated condensation heat transfer coefficients of R22 were compared with some correlations frequency referred to in open literature. This calculation model considering liquid entrainment predicted well the in-tube condensation heat transfer coefficient of R22 than the model not considering liquid entrainment. The effect of entrainment on heat transfer was predominant for high quality and high mass flux when the liquid film was turbulent.

선형적으로 증가하는 벽면교란이 벽 근처 난류 온도장의 특성 변화에 미치는 영향 해석 (Analysis on the Modification of Near-wall Turbulent Characteristics of Temperature Field in a Channel imposed with Linearly Increasing Wall Disturbance)

  • 박수형;변영환;나양
    • 한국추진공학회지
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    • 제17권5호
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    • pp.101-112
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    • 2013
  • 난류 경계층이 형성되어 있는 채널 벽면에 주유동방향을 따라 선형적으로 증가하는 수직방향의 운동량 교란을 도입한 후 발생되는 난류 온도장의 특성 변화를 LES 기법을 사용하여 분석하여 보았다. 벽면교란이 부과된 후, temperature variance의 국부 최대값은 점진적으로 증가하나, 온도 소산량은 급격히 줄어들게 되면서 온도장의 시간스케일 및 Taylor micro length로 판단한 길이스케일이 모두 감소하는 것을 확인하였다. 또한 난류 Prandtl수가 벽면 근방에서 0.25정도까지 급격히 감소되었는데, 이는 벽면에 작용된 운동량 교란에 대한 속도장 및 온도장의 역학적 반응이 전반적으로 다르다는 것을 의미하며, 따라서 속도장과 온도장의 상사성이 급격히 감소된다는 것을 알 수 있었다.