• Title/Summary/Keyword: GrashofNumber

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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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    • v.3 no.4
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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.

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

  • 박성찬;김종보
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.1
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    • pp.105-109
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    • 1987
  • Artificial roughness as a means of improving heat transfer gains more interest, especially for application to various heat exchanger. This study present experimental information for single-phase free and force convection heat transfer in a circular tube containing a internal spiral ribs. To examine the effect of inclined angle of tube, it was varied from 0 deg to 90 deg (0.deg., 22.5.deg., 45.deg., 90.deg.) with horizontal. Length of tube is 1.6m, and width, height and helix angle of rib are 4.2mm, 1.5mm, and 60 deg respectively. Water was used as a working fluid and test piece was heated with a constant heat flux by electric heater. Experiments have been performed with the range of modified Grashof number from 2 * 10$^{6}$ to 15 * 10$^{6}$ for free convection and with the range of Reynolds number from 3,000 to 40,000 for forced convection. Since the increase in heat transfer coefficients influence directly to the friction coefficient of the tube, the changes of the friction factors are also presented for several different cases considered in this investigation.

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

  • 권순석;정태현;권용일
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.12
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    • pp.2395-2406
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    • 1992
  • Laminar natural convection heat transfer from a hot body in a square enclosure has been studied for various center positions of a hot body at Grashof number Gr=1.5$\times$10/sup 5/, Prandtl number Pr=0.71 and dimensionless thermal conductivity K/sub s//K/sub f/= 14710. In case of vertical cold walls, the natural convection at the dimensionless center position of a hot body, X/sub c/Y/sub c/=0.2, 0.5 shows the most strong and at X/sub c/, Y/sub c/=0.5, 0.8 the most weak. In case of horizontal cold walls, the natural convection at the dimensionless center position of a hot body ; X/sub c/ Y/sub c/=0.5, 0.2 shows the most strong and at X/sub c/, Y/sub c/=0.2, 0.5 the most weak.

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.

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

  • 조성우;이재윤
    • Fire Science and Engineering
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    • v.16 no.4
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    • pp.7-14
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    • 2002
  • The diffusion characteristics of the smoke by effect of an ascending air movement in a local part of the room where heat generated was studied. How the smoke move in the limited parts of the room at which heat generated was studied through 3 cases altering locations of inlet and outlet of ventilated air and heat generated by CFD(Computational Fluids Dynamics) method. It was found that 1. Similar distribution of air velocity, air temperature and smoke concentration appeared in the case of upper left inlet and lower right outlet and the case of lower inlet and upper right outlet. 2. Distribution of temperature and smoke concentration was 0∼0.3, 0.06∼0.14 in the case of lower left inlet and upper right outlet. 3. the location of heat generation did not influence on the temperature distribution, but influence on the distribution of smoke concentration.

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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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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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
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.20 no.3
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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.
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.12 no.6
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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.

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

  • Son, Seong-Wan;Jeong, Hea-Kown;Ha, Man-Yeong;Yoon, Hyun-Sik
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.22 no.11
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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.