• 제목/요약/키워드: Grashof Number

검색결과 65건 처리시간 0.025초

Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magnetohydrodynamic natural convection Couette flow using FEM

  • Raju, R. Srinivasa;Reddy, G. Jithender;Rao, J. Anand;Rashidi, M.M.
    • Journal of Computational Design and Engineering
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    • 제3권4호
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    • pp.349-362
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    • 2016
  • The numerical solutions of unsteady hydromagnetic natural convection Couette flow of a viscous, incompressible and electrically conducting fluid between the two vertical parallel plates in the presence of thermal radiation, thermal diffusion and diffusion thermo are obtained here. The fundamental dimensionless governing coupled linear partial differential equations for impulsive movement and uniformly accelerated movement of the plate were solved by an efficient Finite Element Method. Computations were performed for a wide range of the governing flow parameters, viz., Thermal diffusion (Soret) and Diffusion thermo (Dufour) parameters, Magnetic field parameter, Prandtl number, Thermal radiation and Schmidt number. The effects of these flow parameters on the velocity (u), temperature (${\theta}$) and Concentration (${\phi}$) are shown graphically. Also the effects of these pertinent parameters on the skin-friction, the rate of heat and mass transfer are obtained and discussed numerically through tabular forms. These are in good agreement with earlier reported studies. Analysis indicates that the fluid velocity is an increasing function of Grashof numbers for heat and mass transfer, Soret and Dufour numbers whereas the Magnetic parameter, Thermal radiation parameter, Prandtl number and Schmidt number lead to reduction of the velocity profiles. Also, it is noticed that the rate of heat transfer coefficient and temperature profiles increase with decrease in the thermal radiation parameter and Prandtl number, whereas the reverse effect is observed with increase of Dufour number. Further, the concentration profiles increase with increase in the Soret number whereas reverse effect is seen by increasing the values of the Schmidt number.

Ribbed 管의 管傾斜角이 熱傳達에 미치는 影響 (The effect of inclined ribbed tubes on heat transfer and friction loss)

  • 박성찬;김종보
    • 대한기계학회논문집
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    • 제11권1호
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    • pp.105-109
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    • 1987
  • 본 연구는 열교환기의 설치 및 사용목적에 따라 전열관내유동이 경사류가 될 때 특히 자연순환(2*$10^{6}$<Gr<15*$10^{6}$)의 경우와 강제순환(3,000<Re< 40,000)의 경우에 대해서 열전달특성과 유동마찰에 의한 손질을 규명하는데 있다. 사용되는 관은 평골관과 ribbed관이며 관경사각을 수평면에 대하여 0˚,22.5˚,45˚, 90˚로 변화시켰다.

다른 경계조건을 갖는 밀폐공간 내에 존재하는 고온부로부터의 자연대류 열전달 (Natural convection heat transfer from a hot body in the square enclosure with different boundary conditions)

  • 권순석;정태현;권용일
    • 대한기계학회논문집
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    • 제16권12호
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    • pp.2395-2406
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    • 1992
  • 본 연구에서는 방으로부터의 열손실 및 특수공간 내에서의 열전달에 응용할 수 있는 자료를 얻기 위하여 고온부가 존재하는 밀폐공간 내의 자연대류 열전달을 밀 폐공간의 경계조건을 좌,우측이 저온벽면이고 상,하면이 단열인 경우와 좌,우측이 단 열벽면이고 상,하면이 저온인 경우에 있어서 고온부의 중심 위치 X$_{c}$,Y$_{c}$를 수평으로 X$_{c}$,Y$_{c}$=0.2~0.5, 0.5 그리고 수직으로 X$_{c}$,Y$_{c}$=0.5, 0.2 ~0.5, 0.8까지 이동하여 수치해석하였고 실험과 비교 고찰하였다.

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

  • 이택식;고상근
    • 대한기계학회논문집
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    • 제9권2호
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    • pp.213-221
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    • 1985
  • 본 논문에서는 아래면이 고온이고 옆면중의 일부가 저온으로 유지되는 4각형 밀폐공간에서의 자연대류에 대한 수치적 시뮬레이션을 하고, 동등한 경계조건을 가지 는 실험결과와 비교하여 수치모델의 정당성을 입증하고, 정당화된 수치모델의 여러 가 지 변수를 변화시키면서 4각형 밀폐공간내의 열전달 현상을 연구하였다. 실험과 수 치해석의 변수로서 같은 경계조건에 대하여, 종횡비, Gr수 등을 변화시켜 비교하고, 더 나아가 수치모델에 대하여 단열조건의 변화, 저온부의 위치등 경계조건의 변화에 대한 영향을 살폈다.

개구부와 열원의 위치에 따른 연기이동에 관한 연구 (A Study on the Smoke Movement by the Opening and Heat Generator Position)

  • 조성우;이재윤
    • 한국화재소방학회논문지
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    • 제16권4호
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    • pp.7-14
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    • 2002
  • 열원의 발열이 있는 작은 공간에서 상승기류에 의한 연기 확산의 특징에 대하여 조사하였다. 유입구와 유출구의 위치와 연기의 발생위치의 변화에 대한 3가지의 경우에 대하여 수치시뮬레이션을 이용하여 연기가 어떻게 확산되는가를 알아보았다. 좌측 상부에 유입구와 우측 하부에 유출구가 설치된 경우와 좌측 하부에 유입구, 우측 상부에 유출구가 설치된 경우는 기류속도, 공기온도 및 연기농도는 비슷한 분포를 나타냈다. 또한, 좌측 하부의 유입구와 우측 상부의 유출구인 경우 온도분포는 0∼0.3이고, 연기의 농도분포는 0.06∼0.14로 나타났다. 특히, 열원의 발열의 위치는 작은 실에 있어서 온도분포에는 영향을 미치지 않으나, 농도분포에는 영향을 미치는 것을 나타났다.

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

  • 박재림;배대석;권순석
    • 태양에너지
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    • 제11권2호
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    • pp.63-69
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    • 1991
  • 장방형 발열체 주위에서의 열전달 현상을 고찰하기 위하여, 주위유체가 공기인 정상 층류상태에서 수직단열판에 한변의 길이가 L인 2개의 등온 사각비임이 부착된 경우 사각비임으로부터의 전열특성을 상 하 비임사이의 간격($0.5{\le}D/L{\le}3.0$)과 Grashof 수를 변수로하여 수치해석 하였다. D/L가 증가함에 따라 하부비임의 하향면과 상부비임의 측면을 제외한 나머지 비임표면의 국소 Nusselt 수는 증가하였으며 최대전체평균 Nusselt 수를 갖는 최적비임간격은 D/L=2.6에서 나타났다. 본 연구는 전자장비나 Computer 등에서 발생되는 열의 방열문제, 그리고 기판상의 Micro-chip 및 부품 등의 효율적인 배열에 관한 기초자료를 제시하는데 목적이 있다.

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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) (A Comparison of Various Governing Parameters on Hydrodynamic Stability in Interface on Small Solar Pond)

  • 박이동
    • 태양에너지
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    • 제5권2호
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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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Influence of thermo-physical properties on solutal convection by physical vapor transport of Hg2Cl2-N2 system: Part I - solutal convection

  • Kim, Geug-Tae;Kim, Young-Joo
    • 한국결정성장학회지
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    • 제20권3호
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    • pp.125-132
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    • 2010
  • For typical governing dimensionless parameters of Ar = 5, Pr = 1.16, Le = 0.14, Pe = 3.57, Cv = 1.02, $Gr_s=2.65{\times}10^6$, the effects of thermo physical properties such as a molecular weight, a binary diffusivity coefficient, a partial pressure of component B on solutally buoyancy-driven convection (solutal Grashof number $Gr_s=2.65{\times}10^6$) are theoretically investigated for further understanding and insight into an essence of solutal convection occurring in the vapor phase during the physical vapor transport of a $Hg_2Cl_2-N_2$ system. The solutally buoyancy-driven convection is significantly affected by any significant disparity in the molecular weight of the crystal components and the impurity gas of nitrogen. The solutal convection in a vertical orientation is found to be more suppressed than a tenth reduction of gravitational accelerations in a horizontal orientation. For crystal growth parameters under consideration, the greater uniformity in the growth rate is obtained for either solutal convection mode in a vertical orientation or thermal convection mode in horizontal geometry. The growth rate is also found to be first order exponentially decayed for $10{\leq}P_B{\leq}200$ Torr.

Mercurous bromide $(Hg_2Br_2)$ crystal growth by physical vapor transport and characterization

  • Kim, S.K.;S.Y. Son;K.S. Song;Park, J.G.;Kim, G.T.
    • 한국결정성장학회지
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    • 제12권6호
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    • pp.272-282
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    • 2002
  • Mercurous bromide ($Hg_{2}0Br_{2}$) crystals hold promise for many acousto-optic and opto-electronic applications. This material is prepared in closed ampoules by the physical vapor transport (PVT) growth method. Due to the temperature gradient between the source and the growing crystal region, the buoyancy-driven convection may occur. The effects of thermal convection on the crystal growth rate was investigated in this study in a horizontal configuration for conditions ranging from typical laboratory conditions to conditions achievable only in a low gravity environment. The results showed that the growth rate increases linearly with Grashof number, and for 0.2 $\leq$ Ar (transport length-to-height, L/H)$\leq$1.0 sharply for Ar=5 and $\Delta$T=30 K. We have also shown that the magnitude of convection decreases with the Ar. For gravity levels of less than $10^{-2}$g the non-uniformity of interfacial distribution is negligible.

사각 밀폐계 내 자연대류에 의한 원형 실린더의 운동 특성에 관한 수치적 연구 (A Numerical Study of The Motion of a Circular Cylinder Suspended in a Square Enclosure)

  • 손성완;정해권;하만영;윤현식
    • 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.