• 한국산업융합학회 논문집
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• 제7권4호
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• pp.391-397
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• 2004

This paper presented results of experimental and numerical work for natural convection in a square enclosure by using PIV technique. 2D PIV technique and liquid crystal are employed for velocity and temperature measurement in water. The numerical method used this work is a CFD corde, STAR-CD. The experimental work are compared with these of numerical results.

• 대한기계학회논문집B
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• 제37권12호
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• pp.1113-1120
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• 2013

본 연구에서는 $45^{\circ}$기울어진 저온의 사각형 밀폐계 내부에 존재하는 고온의 원형 실린더의 위치 변화에 따른 밀폐계 내부 자연대류 현상에 대한 수치해석을 수행하였다. Rayleigh 수는 $10^3$부터 $10^5$까지 변화하였으며 내부 실린더의 위치는 $-0.4{\leq}{\delta}{\leq}0.4$ 범위에서 0.1 간격으로 변화시켰다. 원형 실린더의 위치 변화에 따른 밀폐계 내부의 자연대류 현상은 실린더 표면과 밀폐계 표면의 Nu 수, 밀폐계 내부의 등온선 및 유선을 바탕으로 분석하였다. 본 연구에서 고려한 Rayleigh 수의 범위와 원형 실린더의 위치 범위에서는 밀폐계 내부의 열유동은 정상상태의 특성을 보였다. 그리고 내부 원형 실린더가 벽면에 가까워 질수록 실린더벽면과 밀폐계 벽면의 평균 Nu 수가 증가하였다.

• 대한기계학회논문집
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• 제16권10호
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• pp.1963-1970
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• 1992

본 연구에서는 Fig.1에 나타낸 정 등의 모델을 사용하여 공간내의 자연대류 유동을 수치적으로 해석하고 실험결과와 비교하여 수평격판에 의해서 발생하는 진동유 동의 특성을 규명하고자 한다. 본 수치해석에서는 물(Pr=4.95)을 내부유체로 하여 Rayleigh수, 공간의 폭에 대한 격판길이(L/W)및 격판의 열전도율의 변화가 자연대류 진동유동에 미치는 영향을 밝히고, 밀폐공간의 경사에 의해 진동유동이 사라지는 각 도, 즉 천이 경사각도를 찾아 내고자 한다. 이러한 유동특성을 파악하기 위하여 본 연구에서는 지배방정식을 Galerkin method를 사용한 2차원 유한요소법(FEM)으로 수치 해석하였다.

• 태양에너지
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• 제12권1호
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• pp.25-33
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• 1992

정상상태에서 고온부가 존재하는 밀폐공간내의 자연대류 열전달을 $Gr=1.5{\times}10^5$, Pr=0.71 및 $k_s/k_f=14710$ 조건에서 경사각을 변화시켜 연구하였다. 고온부는 밀폐공간 면적의 1/25 을 차지하고 형상비는 1.0이다. 전체평균 누셀트 수는 경사각을 증가시키면 감소하였고 ${\theta}=90^{\circ}$인 경우가 ${\theta}=0^{\circ}$ 일때보다 14% 낮게 나타났다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제19권4호
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• pp.459-479
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• 2015

Two-dimensional steady laminar natural convection around a heat conducting and generating solid body inside a square enclosure with different thermal boundaries is performed. The mathematical model is governed by the coupled equation of mass, momentum and energy. These equations are discretized by finite volume method with power-law scheme and solved numerically by SIMPLE algorithm with under-relaxation technique. Effect of Rayleigh number, temperature difference ratio of solid-fluid, aspect ratio of solid-enclosure and the thermal conductivity ratio of solid-fluid are investigated numerically for Pr = 0.7. The flow and heat transfer aspects are demonstrated in the form of streamlines and isotherms respectively.

• 설비공학논문집
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• 제30권2호
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• pp.58-67
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• 2018

This study investigated the effect of variation in the angle of the elliptic cylinder as well as the presence of circular cylinder on natural convection inside a square enclosure. The Rayleigh number was varied between $10^3$ and $10^6$, and the Prandtl number was fixed to 0.7. In the present study, the angle of the elliptic cylinder was changed from $0^{\circ}$ to $90^{\circ}$, and the perimeter of the elliptic cylinder was same as that of the circular cylinder. The immersed boundary method was used to capture the virtual wall boundary of the inner cylinder. With the increasing angle of the elliptic cylinder, the surface-averaged Nusselt numbers on the cylinder and the enclosure increased. In the Rayleigh number range considered in the present study, the surface-averaged Nusselt number on the elliptic cylinder over = $45^{\circ}$ was higher than that of the circular cylinder. The effect of elliptic cylinder's angle on natural convection in the enclosure was analyzed according to the flow and thermal fields, and the distributions of the Nusselt number.

• 설비공학논문집
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• 제24권3호
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• pp.247-255
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• 2012

Numerical calculations are carried out for the natural convection in a square enclosure with two hot cylinders induced by temperature difference between a cold outer rectangular cylinder and two hot circular cylinders. A two-dimensional solution for unsteady natural convection is obtained, using the immersed boundary method (IBM) to model two inner circular cylinders based on finite volume method, for different Rayleigh numbers varying over the range of $10^3$ to $10^5$. The study goes further to investigate the effect of the location of two cylinders on the heat transfer and fluid flow. The location of inner circular cylinders is changed vertically along the center-line of square enclosure. The changes of heat transfer quantities have been presented.

• 설비공학논문집
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• 제22권11호
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• pp.727-734
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• 2010

The present study numerically investigates the motion of a solid body suspended in the square enclosure with natural convection. A two-dimensional circular cylinder levitated thermally has been simulated by using thermal lattice Boltzmann method(TLBM) with the direct-forcing immersed boundary method. To deal with the ascending, falling or levitation of a circular cylinder in natural convection, the immersed boundary method is expanded and coupled with the TLBM. The circular cylinder is located at the bottom of a square enclosure with no restriction on the motion and freely migrates due to the Boussinesq approximation which is employed for the coupling between the flow and temperature fields. For different density ratio between the cylinder and the fluid, the motion characteristics of the circular cylinder for various Grashof numbers have been carried out. The Prandtl number is fixed as 0.7.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2008년도 추계학술대회B
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• pp.2744-2749
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• 2008

Numerical calculations are carried out for the natural convection induced by temperature difference between a cold outer square cylinder and a hot inner circular cylinder for Rayleigh number of $Ra=10^7$. This study investigates the effect of the inner cylinder location on the heat transfer and fluid flow. The location of inner circular cylinder ($\delta$) is changed vertically along the center-line of square enclosure. The natural convection bifurcates from unsteady to steady state according to $\delta$. Two critical positions of ${\delta}_{C,L}$ and ${\delta}_{C,U}$ as a lower bound and an upper bound are ${\delta}_{C,L}=0.05$ and ${\delta}_{C,U}=0.18$, respectively. Within the defined bounds, the thermal and flow fields are steady state. When the inner cylinder locates at ${\delta}{\geq}{\delta}_{C,U}$, the space between the upper surface of inner cylinder and the top surface of the enclosure forms a relatively shallow layer where the natural convection characterized as the pure Rayleigh-Benard convection forms alternately the upwelling and downwelling plums, as a result that a series of cells known as Benard cells is derived.

• 대한기계학회논문집B
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• 제31권3호
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• pp.273-282
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• 2007

Numerical calculations are carried out for the natural convection induced by temperature difference between a cold outer square cylinder and a hot inner circular cylinder. A two-dimensional solution for unsteady natural convection is obtained, using the immersed boundary method (IBM) to model an inner circular cylinder based on finite volume method, for different Rayleigh numbers varying over the range of $10^4\;to\;10^6$. The study goes further to investigate the effect of an inner cylinder location on the heat transfer and fluid flow. The location of inner circular cylinder is changed vertically along the center-line of square enclosure. The number, size and formation of cell strongly depend on Rayleigh number and the position of inner circular cylinder. The changes in heat transfer quantities have been presented.