• Title/Summary/Keyword: Grashof 수

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Two-Dimensional Free Convection in a Rectangular Enclosure Composed of a Hot Wall and Partially Cold Side Wall (아래면이 고온이고 옆면의 일부가 저온인 4각형 밀폐공간에서의 2차원 자연대류에 관한 연구)

  • 이택식;고상근
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.2
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    • pp.213-221
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    • 1985
  • Two dimensional laminar natural convection in a rectangular enclousure composed of a hot bottom wall, a partially cold side wall and insulated walls except the above walls was studied by numerical analysis and also by esperiments. In the experiments, the temperature distributions in the enclosure and Nusselt number distribution along the hot and cold walls were obtained by the use of Mach-Zehnder interferometer. At first, numerical analysis with the boundary conditions of the experimental apparatus was performed and the comparison of the results of the numerical and the experimental results validated the numerical model good ennough. Heat transfer characteristics were investigated by applying the verified numerical model with the parameters, i.e. Grashof number, aspect ratio, position of cold plate and insulation condition. The results showed the optimal conditions of temperature distribution and the position of cold wall, and the characteristics of insulation materials.

Natural Convection Heat Transfer from a Horizontal Annulus with Spacers (격판을 가진 수평환상공간에서의 자연대류 열전달)

  • 이범철;정한식;권순석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.1
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    • pp.153-160
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    • 1989
  • A numerical and experimental study has been performed on natural convection heat transfer from a horizontal annulus with spacers. The mode of heat transfer in the annulus is changed from conduction to convection at Ra = 10$^{3}$. By increasing wall conductivity, mean Nusselt number is apparently increased at $K_{w}$/K$_{f}$ .leg. 48, but at /K$_{w}$/K$_{f}$ > 48, slightly increased for no spacers, and decreased for vertical spacers and horizontal spacers. The mean Nusselt number can be represented in an exponential function of Grashof number at all conditions. The characterics of natural convection heat transfer show similiarity for no spacers and vertical spacers but show difference for horizontal spacers. The presence of the horizontal spacers increased the convective heat transfer by an average 6 percent over that for the no forced cooling to outer cylinder. The maximum local Nusselt number appears at .theta. = 150.deg. in a conducting tube and .theta. = 30.deg. in an outer cylinder for vertical spacers, and appears at .theta. = 180.deg. in a conducting tube and .theta. = 0.deg. in an outer cylinder for horizontal spacers.spacers.

Effect of Adiabatic Sidewalls on Natural Convection in a Rectangular Cavity (사각공동내 자연대류에서 측면 단열벽에 의한 영향)

  • Heo, Jeong-Hwan;Chung, Bum-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.9
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    • pp.825-834
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    • 2010
  • In this study, we investigated the effects of adiabatic walls on natural convection in various rectangular cavities experimentally and numerically. Heat transfer rates were measured for cavities with and without adiabatic sidewalls by varying Grashof number from $1.53\times10^7$ to $1.01\times10^{10}$. Some typical test results were successfully simulated using FLUENT. In the case of very narrow cavities, where the adiabatic walls were very close to each other, it was difficult to perform experiments; therefore, FLUENT simulations were performed. The existing heat transfer correlations for rectangular cavities were well predicted by the experimental and numerical results. As expected, the effects of adiabatic walls were restricted to the very narrow region near the walls. This study was carried out during the development of an analogy experimental method in which heat-transfer systems are replaced with mass-transfer systems using copper sulfate electroplating systems. The results of this study provide theoretical background of handling adiabatic walls during the design of test facilities.

A Numerical Study on the Natural Convection from Two Isothermal Square Beams Attached to an Vertical Adiabatic Plate (수직단열판에 부착된 2개의 등온 사각비임에서의 자연대류 열전달에 관한 수치 해석)

  • Park, Jae-Lim;Bae, Dae-Sok;Kwon, Sun-Sok
    • Solar Energy
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    • v.11 no.2
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    • pp.63-69
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    • 1991
  • A Steady laminar natural convection heat transfer from two isothermal square beams attached to a vertical adiabatic plate has been studied numerically. The results have been obtained for dimensionless beam spacings, $0.5{\le}D/L{\le}3.0$, and for Gr=5000-10000 at ${\phi}_2/{\phi}_1=1.0$. 1. The local Nusselt number from the beam surface is increased with the dimension-less beam spacing D/L. but that of the downward surface of the lower beam is almost same as the D/L increases. And, the local Nusselt number from the upward surface of a lower beam is greatly increased with D/L. 2. The beam spacings of the maximum mean Nusselt number for the downward surface of an upper beam and the upward surface of a lower beam occur at. D/L =2.6 and 2.0 respectively. 3. The beam spacing for the maximum total mean Nusselt number occurs at D/L = 2.6.

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Natural Convection Heat Transfer on Inclined Plates (경사진 평판에서의 자연대류 열전달)

  • Lim, Chul-Kyu;Heo, Jeong-Hwan;Chung, Bum-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.7
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    • pp.701-708
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    • 2011
  • Natural convection heat transfers on inclined flat plates were measured for Grashof numbers of $8.06{\times}10^7$ and $3.45{\times}10^9$ by using a copper sulfate electroplating system. The inclinations of the plates were varied from upward-facing horizontal to downward-facing horizontal. Test results for the downward-facing plate agree well with the existing theory that the Nusselt number can be calculated by replacing gravitational acceleration, g with g $cos{\theta}$ in the heat transfer correlation for the vertical plate. The natural convection flows for the upward-facing plate follow two distinct flow regimes: boundary layer regime and flow separation regime. The copper plating pattern for the upward-facing plates clearly reveals the flow separation points.

A Comparison of Various Governing Parameters on Hydrodynamic Stability in Interface on Small Solar Pond (소형태양수구내(小型太陽水構內) 중간경계면(中間境界面)에서 수력학적(水力學的) 안정(安定)에 관(關)한 각종(各種) 지배변수(支配變數)의 비교(比較))

  • Park, Ee-Dong
    • Solar Energy
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    • v.5 no.2
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    • pp.11-19
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    • 1985
  • In this paper, the interface stability not to occur mixing and entrainment between the adjacent layers has been studied in the case of the selective withdrawal of a stratum and the injection in stratified fluid formed by the density difference in a small solar pond. There are stability parameter, Richardson number, Rayleigh number and Froude number as the parameters governing stability in order to measure the interface stability on the stratified fluid. The model which could measure the interface stability on the stratified fluid was the small solar pond composed by 1 meters wide, 2 meters high, and 5 meters long. In order to measure the interface stability on the stratified fluid at the inlet port, the middle section and the outlet port, Richardson number, Rayleigh number, and Froude number involved in the parameters governing the stability were calculated by means of the data resulted from the test of the study on hydrodynamic stability between the convective and nonconvective layers in that solar pond. Richardson number written by the ratio of inertia force to buoyancy force can be used in order to measure the stability on the stratified fluid related to the buoyancy force generated from the injection of fluid. Rayleigh number written by the product of Grashof number by Prandtl number can be used in order to measure the stability of the fluid related to the heat flux and diffusivity of viscosity. Froude number written by the ratio of gravity force to inertia force can be used in order to measure the stability of the nonhomogeneous fluid related to the density difference. As the result of calculating the parameters governing stability, the interface stability on the stratified fluid couldn't be identified below the 70cm height from the bottom of the solar pond, but it could be identified above the 70cm height from it at the inlet port, the middle section and the outlet port. When compared with such the three parameters as Richardson number, Rayleigh number, Froude number, the calculated result was in accord with them at inlet port, the middle section and the outlet port. Henceforth, it is learned that even though any of the three parameters is used for the purpose of measuring the interface stability on the stratified fluid, the result will be the same with them. It is concluded that all the use of Richardson number, Rayleigh number, and Froude number, is desirable and infallible to measure the interface stability on the stratified fluid in the case of considering the exist of the fluid flow and the heat flux like the model of the solar pond.

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