• Title/Summary/Keyword: Nusselt number

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Numerical analysis of turbulent thermal convection between two flat plates (두 평판 사이의 난류 열대류의 수치해석)

  • 이장희;윤효철;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.1
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    • pp.137-151
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    • 1988
  • Thurbulent thermal convection between two plates, bottom plate is at higher temperature $T_{h}$ and the upper plate is at lower temperature $T_{i}$ is numerically investigated. Model equations are abridged Reynolds stress equations; full Reynolds stress equations are simplified to yield algebraic relations in case of mean square velocity fluctuations in vertical and horizontal directions. Boundary conditions for turbulent kinetic energy k and mean square temperature variance .thera.$^{2}$oner bar at the plate surfaces are set to be zero and those of dissipation rate of turbulent kinetic energy .epsilon. and dissipation rate of mean square temperature variance .epsilon.$_{\theta}$ are assumed at first grid point nearest to the boundary surfaces, whose values are approximated by inviscid estimates. Results show that temperature profiles are in good agreement with experimental data except transition region, in which temperature is over-predicted. Such discrepancy becomes larger as the Rayleigh number becomes smaller. Nusselt numbers, which are calculated from the temperature gradients at the boundary surfaces, are also in good agreement with experimental data.a.a.

Heat Transfer Augmenttaion by use of Wire Mesh-Screens in Impinging Water Jet (와이어 망을 이용한 충돌 수분류의 열전달 증진)

  • Yun, S.H.;Lee, J.S.;Choi, G.G.
    • Solar Energy
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    • v.19 no.3
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    • pp.43-51
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    • 1999
  • Axisymmetric circular water jet impinges against rectangular heated surface with uniform hear flux and wire-mesh screens are set up in the nozzle-to-heater space to augment heat transfer. In the free jet region to be used them, pressure drop and intensive turbulence flow was brought up. When water jet system is not used wire-mesh screens, maximum heat transfer appears in the stagnation point and the secondary maximum appears X/D=4 but it disappears when they are is used. In the low velocity(Vo<6.0m/s), coarse mesh-screen enhanced heat transfer but fine mesh-screens inpeded heat transfer. In the high velocity(Vo>6m/s), all of them enhanced heat transfer. Average Nusselt number of experimental system to be used wire-mesh screens was promoted $4{\sim}6$times than that of simple water jet system. The stagnation heat transfer of experimental system to be used wire-mesh screens was augmented 6times that of simple water jet system.

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Heat Transfer Coefficient and Shear Factor Subjected to Both Oscillating Flow and Oscillating Pressure in Pulse Tubes (주기적인 유동과 압력의 변화를 수반하는 맥동관의 열전달계수와 전단계수)

  • Jeong, Eun-Soo
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.19 no.3
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    • pp.220-227
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    • 2007
  • Heat transfer and momentum transfer under conditions of both oscillating flow and oscillating pressure within pulse tubes show very different behavior from those for steady state conditions. The analytic solutions of axial velocity and temperature of the gas within pulse tubes were obtained by assuming that the variations in pressure and temperature were purely sinusoidal and small. The shear stress and the heat flux at the tube wall obtained from the solutions are expressed in terms of the cross-sectional averaged velocity, the difference between mean temperature and instantaneous cross-sectional averaged temperature and the difference between mean pressure and instantaneous pressure. It is shown that the complex shear factor, which has been applied to momentum transfer of incompressible oscillating flow, and the complex Nusselt number, which has been applied to either heat transfer with oscillating pressure only or heat transfer of incompressible oscillating flow, could also be used for momentum transfer and heat transfer subjected to both oscillating flow and oscillating pressure, respectively.

Flow and Heat Transfer Characteristics of $CO_2$/Oil Mixtures in a Circular Tube

  • Kang, Byung-Ha;Lim, Dong-Seop
    • International Journal of Air-Conditioning and Refrigeration
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    • v.16 no.4
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    • pp.117-123
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    • 2008
  • The present study is directed at flow and heat transfer of $CO_2$ and oil mixtures in a circular tube. PAG and POE oils are considered in this study. Flow characteristics of $CO_2$ and oil mixtures have been investigated by flow visualization. Pressure drop has been measured in the range of operating mass flow rate from 0.1 to 0.4 kg/min in a circular tube. Heat transfer characteristics of $CO_2$/oil mixtures have been investigated using a counterflow heat exchanger. In case of pure liquid $CO_2$ as well as $CO_2$ and POE mixtures, flow are seen to be uniform so that $CO_2$ and POE oil are still miscible even at flowing state. However, it is found that $CO_2$ and PAG are not miscible. Pressure drop of $CO_2$/PAG mixtures are much higher than that of $CO_2$/POE mixtures as well as pure $CO_2$ at a fixed mass flow rate. As the concentration of POE oil is increased from 0 to 5 wt%, pressure drop is increased. However, heat transfer rate and heat transfer coefficient of $CO_2$/POE mixtures are much higher than that of $CO_2$/PAG mixtures. The f-factor correlation and Nusselt number correlation for $CO_2$/POE oil mixtures are suggested in this paper.

Study on the cooling performance of discrete heat sources using coolants (냉각제들에 따른 불연속 발열체의 냉각성능 연구)

  • 최민구;조금남
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.2
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    • pp.224-235
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    • 1999
  • The present study investigated the effects of the experimental parameters on the cooling characteristics of the multichip module cooled by the indirect liquid cooling method using water, PF-5060, and paraffin slurry. The experimental parameters were coolants including Paraffin slurry with mass fraction of 2.5~7.5%, heat flux of 10~40W/$\textrm{cm}^2$ for the simulated VLSI chips and Reynolds numbers of 3,000~20,000. The size of paraffin slurry was constant as 10~40${\mu}{\textrm}{m}$ before and after the experiment. The chip surface temperatures for paraffin slurry were lower than those for water and PF-5060. The local heat transfer coefficients for the paraffin slurry were larger than those for water and the local heat transfer coefficients reached a row-number-independent and thermally-fully-developed value approximately after the third row. The local Nusselt numbers for paraffin slurry with a mass fraction of 7.5% were larger by 20~38% than those for water. The paraffin slurry with a mass fraction of 5% shelved the best thermal and hydrodynamic characteristics when local heat transfer and pressure drop were considered simultaneously.

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Study on forced convective heat transfer in helically ceiled tubes (나선코일튜브내의 강제대류 열전달에 관한 연구)

  • 한규일;박종운;임태우
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.10 no.3
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    • pp.282-291
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    • 1998
  • Heat transfer performance are studied for the turbulent flow of water in 3 smooth tube coils having ratios of coil to tube diameter of 16, 21 and 27, and a corrugated-coiled tube having a ratio of coil to tube diameter of 29, for Reynolds numbers from 8000 to 60000 and is also compared with the limited results available to data. The experiments are carried out for the fully developed turbulent flow of water in tube coils under the condition of uniform heat flux. This work is limited 0 tube coils of R/a between 10 and 30. The tube having a ratio of coil to tube diameter of 27 among the 3 smooth tube coils shows the best heat transfer performance. The performance of coiled tube best transfer performance. The performance of coiled tube with a similar curvature ratio is better for a corrugated-coiled tube(R/a=17) than for a smooth coiled tube(R/a=16). An empirical relation which correlates most of the data within $\pm$25% was also developed. Test result shows that the Nusselt number is found to be affected by a secondary flow due to curvature.

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EXPERIMENTAL INVESTIGATIONS ON HEAT TRANSFER TO CO2 FLOWING UPWARD IN A NARROW ANNULUS AT SUPERCRITICAL PRESSURES

  • Kim, Hwan-Yeol;Kim, Hyung-Rae;Kang, Deog-Ji;Song, Jin-Ho;Bae, Yoon-Yeong
    • Nuclear Engineering and Technology
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    • v.40 no.2
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    • pp.155-162
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    • 2008
  • Heat transfer experiments in an annulus passage were performed using SPHINX(Supercritical Pressure Heat Transfer Investigation for NeXt Generation), which was constructed at KAERI(Korea Atomic Energy Research Institute), to investigate the heat transfer behaviors of supercritical $CO_{2}$. $CO_{2}$ was selected as the working fluid to utilize its low critical pressure and temperature when compared with water. The mass flux was in the range of 400 to 1200 $kg/m^{2}s$ and the heat flux was chosen at rates up to 150 $kW/m^{2}$. The selected pressures were 7.75 and 8.12 MPa. At lower mass fluxes, heat transfer deterioration occurs if the heat flux increases beyond a certain value. Comparison with the tube test results showed that the degree of heat transfer deterioration in the heat flux was smaller than that in the tube. In addition, the Nusselt number correlation for a normal heat transfer mode is presented.

Hydrodynamic and Heat Transfer Studies in Riser System for Waste Heat Recovery using Chalcopyrite

  • Popuri, Ashok Kumar;Garimella, Prabhakar
    • Korean Chemical Engineering Research
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    • v.56 no.2
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    • pp.252-260
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    • 2018
  • Energy, a critical input, is to be efficiently managed via waste heat recovery and energy reuse for the economic viability of a process industry. In particular, cement manufacture demands a huge quantum of energy, for the necessary reactions. Huge amounts of hot effluent gases are generated. Energy recovery from these waste gases is an area that is of contemporary research interest. Now, about 75% of total heat recovery takes place in the riser of the suspension pre-heater system. This article deals with the hydrodynamic and heat transfer aspects of riser typically used in the cement industry. An experimental apparatus was designed and fabricated with provision for the measurement of gas pressure and solid temperatures at different heights of the riser. The system studied was air - chalcopyrite taken in different particle sizes. Acceleration length ($L_A$) determined at different parametric levels was fitted to an empirical correlation: $L_A/d_t=4.91902(d_p/d_t)^{0.10058}(w_s/w_g)^{-0.11691}(u_g{\mu}_g/d_t^2g{\rho}_g)^{0.28574}({\rho}_p/{\rho}_g)^{0.42484}$. An empirical model was developed for Nusselt number as a function of Reynolds and Prandtl numbers using regression analysis: $Nu=0.40969(Re_p)^{0.99953}(Pr)^{0.03569}$.

The Effect of Ultrasonic Vibration on Heat Transfer Augmentation of Forced Convective Flow in Circular Pipes (초음파 진동이 관내 강제대류 유동의 열전달 증진에 미치는 영향)

  • Jeong Ji Hwan
    • Journal of Energy Engineering
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    • v.13 no.4
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    • pp.275-280
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    • 2004
  • Augmentation of heat transfer by ultrasonic vibration in pipes are investigated. Measurements of convective heat transfer coefficients on circular pipe walls are made with and without ultrasonic vibration applied to water. These data are compared with each other to quantify the effects of ultrasonic vibration on heat transfer enhancement. Numerical analysis has been also performed in order to extend the ranges of examined temperature and flow rate. FLUENT Ver.6.1 is used to simulate velocity and temperature fields and evaluate heat transfer coefficient with and without ultrasonic vibration. The results show that the ultra- sonic vibration enhances the Nusselt number of forced convection flow and the increase rate strongly depends on flow rate.

Loss Analysis and Air-Cooled Design for a Cascaded Electrical Source Transmitter

  • Xue, Kai-Chang;Wang, Shuang;Lin, Jun;Li, Gang;Zhou, Feng-Dao
    • Journal of Power Electronics
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    • v.15 no.2
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    • pp.530-543
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    • 2015
  • Air-cooling method is adopted on the basis of the requirements for the thermal stability and convenient field use of an electrical source transmitter. The power losses of the transmitter are determined after calculating the losses of the alternating current (AC)-direct current (DC) power supply, the constant-current circuit, and the output circuit. According to the analysis of the characteristics of a heat sink with striped fins and a fan, the engineering calculation expression of the Nusselt number and the design process for air-cooled dissipation are proposed. Experimental results verify that the error between calculated and measured values of the transmitter losses is 12.2%, which meets the error design requirements of less than 25%. Steady-state average temperature rise of the heat sink of the AC-DC power supply is $22^{\circ}C$, which meets the design requirements of a temperature rise between $20^{\circ}C$ and $40^{\circ}C$. The transmitter has favorable thermal stability with 40 kW output power.