• Title/Summary/Keyword: 3 Dimensional Enclosure

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Inverse Boundary Temperature Estimation in a Two-Dimensional Cylindrical Enclosure Using Automatic Differentiation and Broyden Combined Method (자동미분법과 Broyden 혼합법을 이용한 2차원 원통형상에서의 경계온도 역추정)

  • Kim Ki-Wan;Kim Dong-Min;Baek Seung-Wook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.30 no.3 s.246
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    • pp.270-277
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    • 2006
  • Inverse radiation problems were solved for estimating boundary temperature distribution in a way of function estimation approach in an axisymmetric absorbing, emitting and scattering medium, given the measured radiative data. In order to reduce the computational time fur the calculation of sensitivity matrix, automatic differentiation and Broyden combined method were adopted, and their computational precision and efficiency were compared with the result obtained by finite difference approximation.. In inverse analysis, the effects of the precision of sensitivity matrix, the number of measurement points and measurement error on the estimation accuracy had been inspected using quasi-Newton method as an inverse method. Inverse solutions were validated with the result acquired by additional inverse methods of conjugate-gradient method or Levenberg-Marquardt method.

직사각형 밀폐공간내 자연대류 열전달의 수치해석

  • Min, Man-Gi
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.10 no.3
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    • pp.185-219
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    • 1981
  • To analyze two dimensional incompressible laminar natural convection in a rectangular enclosure heated from below and cooled by a horizontal ceiling and two vertical walls, he primitive Navier-Stokes equations and the energy equation were solved numerically in time dependent form by a marker and cell method. A successive over-relaxation method for the elliptic portion of the problem and an explicit method for the parabolic portion were applied for the range of Grashoff number of $5{\times}10^3\;to\;5{\times}10^4$ to get the transient and steady state dimensionless temperature and velocity profiles. For the range of aspect ratio $L/H{\leqq}2.4$ in which only a pair of convection rolls exists mean Nusselt number calculated are as follows : $$N_{NU}0.89\;N_{Gr}^{0.2}(H/L)^{0.45}$$ By path lines drawn by marker particle trajectories roll number of cellular motion were observed for various aspect ratio of the enclosure.

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Analysis of Three-Dimensional Natural Convection Using a Holographic Interferometric Tomography (홀로그래피 간섭 토모그래피를 이용한 3 차원 자연대류 해석)

  • Shim, Dong-Sik;Lee, Soo-Man;Kang, Bo-Seon;Cha, Dong-Jin;Joo, Won-Jong
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.497-502
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    • 2001
  • Three-dimensional natural convection from a discrete flush-mounted circular heat source on the bottom of a cubic enclosure was studied by using a holographic interferometric tomography. The heat source was located at the off-center of the bottom plate so that three-dimensional temperature field can be achieved. A set of multidirectional holographic interferogram was recorded by employing a double-reference beam, double-exposure holographic technique in order to eventually reconstruct the temperature fields. The recorded interferometric data appear good enough to be further processed to extract optical pathlength data from them and finally reconstruct the temperature fields. A complete analysis of the temperature fields including the field reconstructions and comparison with thermocouple measurements is underway and will be reported shortly.

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A Study on Natural Convection Flows Using Particle Image Analysis (입자영상해석에 의한 자연대류 유동에 관한 연구)

  • Bae, D.S.;Kim, N.S.;Cho, W.H.
    • Journal of Power System Engineering
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    • v.4 no.2
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    • pp.11-16
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    • 2000
  • Simultaneous quantitative measurements are made of the velocity fields for two-dimensional natural convection in a rectangular enclosure using PIV(Particle Image Velocimetry). The experiments are performed at a Prandtl number of 6.62, an aspect ratio of 1.0, Rayleigh numbers from $1.294{\times}10^6\;to\;3.8841{\times}10^6$, and angles of inclination of $0^{\circ},\;30^{\circ}\;and\;60^{\circ}$ inside a $30mm{\times}30mm{\times}8mm$ cavity made of an acrylic glass 10mm, with two isothermal copper walls kept at a prescribed temperature. The experimental results agreed very well with the numerical results. It was found that the flow consisted of a large double convection cell at angle of inclination of $60^{\circ}$.

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A Study on the Heat Transfer Characteristics of Surface Radiation-Natural Convection Interactions in an Enclosure for Various Adiabatic Wall Thicknesses (단열벽체두께가 변화되는 밀폐공간에서 복사-자연대류열전달특성에 관한 연구)

  • Kwon, Y.I.;Yoo, J.O.;Kwon, S.S.
    • Solar Energy
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    • v.15 no.3
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    • pp.39-52
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    • 1995
  • This study is investigated numerically on the heat transfer characteristics of surface radiation-natural convection interactions in a two dimensional enclosure assumed Ondol cavity. Mean Nusselt number of the bottom surface with surface radiation is increased by increasing wall emissivity and by decreasing dimensionless thickness of adiabatic wall. and is greater than that without radiation. Mean Nusselt number of the bottom surface for convection only with surface radiation is slightly smaller than that without surface radiation with decrease dimensionless thickness of adiabatic wall.

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Numerical Study of Natural Convection in a Rectangular Enclosure with Cooling Strip (냉각부(冷却部)를 갖는 사각형(四角形) 밀폐공간내(密閉空間內)의 자연대류(自然對流)에 관(關)한 수치해석(數値解析))

  • Lee, Cheong-Ouk;Seo, Jeong-Yun;Kim, Chong-Bo
    • Solar Energy
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    • v.6 no.2
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    • pp.54-61
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    • 1986
  • The influence on natural convection was studied by solving the partial differential equations within a rectangular enclosure which have a cooling strip at the right side wall of the space, a isothermally heated bottom plate and adiabatic two other walls. Computation was carried out for the range of Grashof number from $5*10^3$ to $2.5*10^5$ with Plandtl number of 0.73. The results have been obtained in cases of four aspect ratios and various strip sizes. Temperature and Stream function distributions have been plotted using explicit finite difference method in two dimensional, laminar flow, and also mean Nusselt number and Local Nusselt number have been obtained.

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Natural Convection Flow and Heat Transfer in a Fluid Heated Internally within an Inclined Rectangular Enclosure (경사진 직사각형 공간내에서 내부적으로 가열되는 유체의 자연대류유동 및 열전달)

  • 이재헌;김재근;박만흥
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.3
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    • pp.555-568
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    • 1992
  • A asic study is performed on two-dimensional natural convective flow and heat transfer in a fluid heated internally within an inclined rectangular enclosures. For Rayleign numbers from 1.0*10$^{4}$to 1.5*10$^{5}$ , aspect ratio of 1/4, 1/3 and 1/2, and inclined angle from 0deg to 90deg, the governing equations were solved numerically and the experiments were performed by MachZehnder interferometer using low salinity water as a test fluid. For aspect ratios adapted in present study, the natural convection occures the most intensive at inclined angle of 0deg. This became weak at inclined angles of 60deg and 30deg in case of aspect ratios of 1/3 and 1/2 respectively. The intensity of flow was roughly in proportion to Rayliegh numbers and in proportion to the forth power of aspect ratios.

Solutions of Radiative Transfer for Nongray Gases within a 3-D Cylindrical Enclosure

  • Park, Won-Hee;Jung, Hyun-Sung;Kim, Tae-Kuk
    • International Journal of Aeronautical and Space Sciences
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    • v.3 no.1
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    • pp.30-38
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    • 2002
  • In multi-dimensional systems, various solution schemes for radiative transfer are suggested but the applicabilities and accuracies of these schemes have not yet fully tested due to the lack of reference solutions especially for nongray gases. In this paper we present some precise radiative transfer solutions for a black walled 3-dimensional cylindrical system filled with nongray gases having uniform temperature and concentration. The ray-tracing method with the $T_N$ quadrature set and the SNB model are used to obtain the radiative transfer solutions by the nongray gases. The solutions presented in this paper are proved to be quite accurate and can be regarded as the reference solutions for the radiative transfer by nongray gases.

A Study for the Improvement of Top End Piece Structural Strength (상단고정체의 구조강도 개선을 위한 연구)

  • Song, Kee-Nam;Sohn, Dong-Seong
    • Nuclear Engineering and Technology
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    • v.21 no.3
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    • pp.186-192
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    • 1989
  • As a part of the design of the top end piece(TEP) for the 14$\times$14 reload fuel, various models of top end piece structure were analysed, using the ANSYS code, under fuel assembly shipping and handling load conditions. The 3-dimensional isoparametric elements were used in each model. By rearrangement of slots and holes on the adapter plate, without violating the design requirements, and also by changing the enclosure attachment method used on the adapter plate from pin joints to through-weld, the load carving capacity of the adapter plate was greatly strengthened. These concepts were adopted for the design of the 14$\times$14 reload fuel.

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NUMERICAL ANALYSIS FOR PRANDTL NUMBER DEPENDENCY ON NATURAL CONVECTION IN AN ENCLOSURE HAVING A VERTICAL THERMAL GRADIENT WITH A SQUARE INSULATOR INSIDE

  • Lee, Jae-Ryong;Park, Il-Seouk
    • Nuclear Engineering and Technology
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    • v.44 no.3
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    • pp.283-296
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    • 2012
  • The natural convection in a horizontal enclosure heated from the bottom wall, cooled at the top wall, and having a square adiabatic body in the center is studied. Three different Prandtl numbers (0.01, 0.7 and 7) are considered for the investigation of the effect of the Prandtl number on natural convection. Adiabatic boundary conditions are employed for the side walls. A two-dimensional solution for unsteady natural convection is obtained, using an accurate and efficient Chebyshev spectral methodology for different Rayleigh numbers varying over the range of $10_3$ to $10_6$. It had been experimentally reported that the heat transfer mode becomes oscillatory when Pr is out of a specific Pr band beyond the critical Ra. In this study, we reproduced this phenomenon numerically. It was found that when Ra=$10_6$, only the case for intermediate Pr (=0.7) reached a non-changing steady state and the low and high Pr number cases (Pr=0.01 and 7) showed a periodically oscillatory fashion hydrodynamically and thermally. The variation of time- and surface-averaged Nusselt numbers on the hot and cold walls for different Rayleigh numbers and Prandtl numbers are presented to show the overall heat transfer characteristics in the system. Further, the isotherms and streamline distributions are presented in detail to compare the physics related to their thermal behavior.