• Title/Summary/Keyword: heat equation

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A STUDY ON THE CHOICE OF THERMAL MODELS IN THE COMPUTATION OF NATURAL CONVECTION WITH THE LATTICE BOLTZMANN METHOD (Lattice Boltzmann 방법을 사용한 자연대류 해석에서 열모델의 선택에 관한 연구)

  • Choi, Seok-Ki;Kim, Seong-O
    • Journal of computational fluids engineering
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    • v.16 no.4
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    • pp.7-13
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    • 2011
  • A comparative analysis of thermal models in the lattice Boltzmann method(LBM) for the simulation of laminar natural convection in a square cavity is presented. A HYBRID method, in which the thermal equation is solved by the Navier-Stokes equation method while the mass and momentum conservation are resolved by the lattice Boltzmann method, is introduced and its merits are explained. All the governing equations are discretized on a cell-centered, non-uniform grid using the finite-volume method. The convection terms are treated by a second-order central-difference scheme with a deferred correction method to ensure stability of the solutions. The HYBRID method and the double-population method are applied to the simulation of natural convection in a square cavity and the predicted results are compared with the benchmark solutions given in the literatures. The predicted results are also compared with those by the conventional Navier-Stokes equation method. In general, the present HYBRID method is as accurate as the Navier-Stokes equation method and the double-population method. The HYBRID method shows better convergence and stability than the double-population method. These observations indicate that this HYBRID method is an efficient and economic method for the simulation of incompressible fluid flow and heat transfer problem with the LBM.

Numerical Study on Pulverized Coal Combustion Applying Two-Phase WSGGM (이상 회체가스 가중합산모델을 적용한 미분탄 연소의 수치적 연구)

  • Yu, Myoung-Jong;Kang, Shin-Jae;Baek, Seung-Wook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.10
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    • pp.1368-1379
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    • 2000
  • A numerical study on swirling pulverized coal combustion in an axisymmetric enclosure is carried out by applying the 2-phase weighted sum of gray gases model (WSGGM) approach with the discrete ordinate method (DOM) to model the radiative heat transfer equation. In the radiative transfer equation, the same polynomial equation and coefficients for weighting factors as those for gas are adopted for the coal/char particles as a function of partial pressure and particle temperature. The Eulerian balance equations for mass, momentum, energy, and species mass fractions are adopted with the standard and RNG k-${\varepsilon}$ turbulence model, whereas the Lagrangian approach is used for the particulate phase. The eddy-dissipation model is employed for the reaction rate for gaseous mixture, and the single-step and two-step first-order reaction model for the devolatilization process for coal. Special attention is given to establish the thermal boundary conditions on radiative transfer equation By comparing the numerical results with experimental ones, the radiation model used here is confirmed and found to provide an alternative for simulating the radiative transfer.

A Study on Prediction of Power Consumption Rate of Middle School Building in Changwon City by Regression Analysis (회귀분석을 통한 창원시 중학교 전력소비량 예측에 관한 연구)

  • Cho, Hyeong-Kyu;Park, Hyo-Seok;Choi, Jeong-Min;Cho, Sung-Woo
    • The Journal of Sustainable Design and Educational Environment Research
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    • v.12 no.2
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    • pp.61-70
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    • 2013
  • As the existing school building power consumption is expressed by total power consumption, in the view of energy saving is disadvantage. The the power consumption of school building is divided as cooling, heating, lighting and others. The cooling power consumption, heating power consumption, lighting power consumption can be calculated using real total power consumption that gained from Korea Electric Power Corporation(KEPCO). The power consumption for cooling and heating can be calculated using heat transmittance, wall area and floor area, and for lighting is calculated by artificial lighting calculation. but this calculation methods is difficult for laymen. This study was carried out in order to establish the regression equation for cooling power consumption, heating power consumption, lighting power consumption and other power consumption in school building. In order to verify the validity of the regression equation, it is compared regression equation results and calculation results based on real power consumption. As the results, difference between regression result and calculation results for cooling and heating power consumption showed 0.6% and 3.6%.

Thermal Distribution in Living Tissue during Warm Needling Therapy (온침 시술 시 생체 조직 내 열분포 분석에 관한 연구)

  • Kim, Jongyeon;Lee, Jong-Soo
    • Journal of Korean Medicine Rehabilitation
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    • v.24 no.3
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    • pp.111-119
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    • 2014
  • Objectives This study aims to analyze a thermal distribution in biological living tissue during warm needling therapy by using a finite element method. The analysis provides an understanding of warm needling's efficacy and safety. Methods A model which consisted of four-layered tissue and stainless steel needle was adopted to analyze the thermal distribution in living tissue with a bioheat transfer analysis. The governing equation for the analysis was a Pennes' bioheat equation. A heat source characteristic of warm needling therapy was obtained by previous experimental measurements. The first analysis of the time-dependent temperature distribution was conducted through points on a boundary between the needle and the tissue. The second analysis was conducted to visualize the horizontal temperature distribution. Results When heat source's peak temperatures was above $500^{\circ}C$ and temperature rising rates were relatively slow, the peak temperature at skin surface exceeded a threshold of pain and tissue damage ($45^{\circ}C$), whereas when the peak temperature was around $400^{\circ}C$, the peak temperature at the skin surface was within a safe limit. In addition, the conduction of combustion energy from the moxa was limited to the skin layer around the needle. Conclusions The results suggest that the skin layer around the needle can be heated effectively by warm needling therapy, but it appears to have little effect at the deeper tissue. These findings enhance our understanding of the efficacy and the safety of the warm needling therapy.

Cubic Equation of State Analysis for the Prediction of Supercritical Thermodynamic Properties of Hydrocarbon Fuels with High Critical Compressibility Factor (고 임계 압축인자를 갖는 탄화수소 연료의 초임계 열역학적 물성 예측을 위한 상태방정식 분석)

  • Jae Seung Kim;Jiwan, Seo;Kyu Hong Kim
    • Journal of the Korean Society of Propulsion Engineers
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    • v.26 no.5
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    • pp.24-34
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    • 2022
  • In order to predict the cooling performance of a regenerative cooling channel using hydrocarbon fuel operating in the supercritical region, it is essential to predict the thermodynamic properties. In this study, a comparative analysis was performed on two-parameter equations of state (SRK(Soave-Redlich-Kwong), PR(Peng-Robinson) equations of state) and three-parameter equations of state (RK-PR equations of state) to appropriately predict density and specific heat according to the critical compressibility factor of polymer hydrocarbons. Representatively, n-dodecane fuel with low critical compressibility factor and JP-10 fuel with high critical compressibility factor were selected, and an appropriate equation of state was presented when predicting the thermodynamic properties of the two fuels. Finally, the prediction results of density and specific heat were compared and verified with NIST REFPROP data.

Nutrient requirement for maintenance and nutritional changes of the Hanwoo steers in early-fattening stage under heat stress

  • Choi, Chang Weon
    • Korean Journal of Agricultural Science
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    • v.45 no.1
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    • pp.74-83
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    • 2018
  • Four early-fattening Hanwoo steers weighing $247{\pm}13.5kg$ were used within a $4{\times}4$ Latin square design to establish a nutrient requirement for maintenance and to investigate nutritional changes in the steers under heat stress condition. The steers were fed four different energy level diets: 100% (control) and 100%, 115% and 130% of total digestible nutrients (TDN) requirement of the early-fattening Hanwoo steers for maintenance based on the Korean Feeding Standard for Hanwoo. The steers in the control were housed with no stress (temperature $24^{\circ}C$ and humidity 60%), whereas the steers in the other groups were under heat stress (temperature $30^{\circ}C$ and humidity 70%). True digestibilities of dry matter (DM) and other nutrients were not significantly (p > 0.05) affected by heat stress (i.e., control vs T100). This may be the result of a lower DM intake than that of the Korean feeding standard due to the establishment of the nutrients requirement under heat stress. Heat stress and different energy intake levels did not affect the blood metabolite concentrations. Average daily gain (ADG) for T100 (-69.6 g) was lower than that of the control (-44.6 g, numerically), T115 (44.6 g, p < 0.05) and T130 (83.3 g, p < 0.05), respectively. Based on the ADG and TDN intake, the equation (Y = 0.1814X + 111.5) for the TDN requirement of the early fattening Hanwoo steers for maintenance was calculated, indicating that 11.5% of TDN requirement for maintenance under heat stress may be additionally supplied.

A Case Study on the Heat budget of the Marine Atmosphere Boundary Layer due to inflow of cloud on observation at Ulleungdo (울릉도에서 구름 유입시 관측한 해양대기경계층의 열수지에 관한 사례연구)

  • Kim, Hee-Jong;Yoon, Ill-Hee;Kwon, Byung-Hyuk
    • Journal of the Korean earth science society
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    • v.25 no.7
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    • pp.629-636
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    • 2004
  • In order to study developments of the marine atmosphere boundary layer in cloud incoming, important parameters like heat advection, surface layer heat flux, and radiation energy were estimated using the rawinsonde, AWS data, satellite images, and buoy data which was installed at the East Sea. We explained the variation and the development of mixed layer in terms of surface layer heat flux and long wave radiation under the cloudy sky. The heat flux was obtained by means of the bulk method. Conservation of heat was analysed by heat budget equation, which was consist of buoy data in the East sea, and sounding data at Ulleungdo and at Pohang. During the inflow of cloud, radiative cooling at the surface after was suppressed and long wave radiation from cloud played a role of warming. The surface layer temperature was also remained warm by influence of warm advection from south-easterly direction. The air temperature in night was increased, as a result, mixed layer was not destroyed and The nocturnal boundary layer was composed of the mixed layer and the residual layer.

A Study on the Convective Heat Transfer in a Regenerative Ice Energy System by a Bundle of the Heat-pipes. (히이트파이프 다발을 이용한 냉축열시스템에서의 대류열전달에 관한 연구)

  • 권형정;김경석;김경근
    • Journal of Advanced Marine Engineering and Technology
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    • v.14 no.4
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    • pp.57-66
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    • 1990
  • In the design of an electric power plant, the capacity to meet the peak load demand is one of the important factors to be considered. This peak load usually occurs when the most of the cooling air conditioning systems are being operated during daytime in summer season, which inevitably entails the construction of an additional electric power plant. This study is aimed to carry out a basic experiment for the development of a cooling air conditioning system using the ice energy by the surplus electric power during the night-time. The experimental apparatus consists of four major parts; (1) the heating section consisting of the air duct and I.D. fan, (2) the cold section with the ice chamber, (3) the bundle of heat pipes made in a form of the staggered arrangement with ${C_y}/{d_o}$=2.0 and ${C_x}/{d_o}$=1.73, (4) the refrigerator system to cool down the ice chamber. This study involves an intensive experiment concerning the convective heat transfer of the air flow surrounding the bundle of heat pipes. This major experimental parameters are the amount of working fluid, the velocity of air and the working temperature. The major findings of the present study are as follows; (1) The optimum amount of the working fluid necessary for the horizontal heat pipes is much more than that for the vertical type. (2) The convective heat transfer coefficients of the air are coincided with the empirical equations of Grimson and ${\breve{Z}ukauskas}$. (3) The equation of the mean heat transfer coefficient obtained in the present study is ${N_um}=0.32 {Re_max^{0.63}}$.

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Analysis of Convective Boiling Heat Transfer for Refrigerant Mixtures in Annular Horizontal Flow (혼합냉매의 환상 유동 증발열전달 해석)

  • Sin, Ji-Yeong;Kim, Min-Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.2
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    • pp.720-729
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    • 1996
  • An analysis of convective boiling heat transfer for refrigerant mixtures is performed for an annular flow to investigate the degradation of the heat transfer rate. Annular flow is selected in this study because a great portion of the evaporator in the refrigeration and air conditioning system is known to be in the annular flow regime. Mass transfer effect due to composition difference between liquid and vapor is included in this analysis, which is considered to be one of driving forces for the mass transfer at the interface. Due to the concentration gradient at the interface the mass transfer is interfered, so is the evaporative heat transfer at the interface. The mass transfer resistance makes the interface temperature slightly higher and, as a result, the heat transfer coefficients decrease compared with those without mass transfer effects. The degradatioin of the heat transfer rate reaches its maximum at a certain composition. The composition difference between vapor core and vapor at the interface has a direct effect on the temperature difference between the vapor core and the interface and the degradation of the heat transfer rate. Correction factor $C_{F}$ for the mixture effects is added to the correlation for pure substances and the flow boiling heat transfer coefficients can be calculated using the modified equation.n.

Analysis of Heat Transfer and Pressure Drop During Gas Cooling Process of Carbon Dioxide in Transcritical Region (초임계 영역내 $CO_2$ 냉각 열전달과 압력강하 분석)

  • 손창효;이동건;정시영;김영률;오후규
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.1
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    • pp.65-74
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    • 2004
  • The heat transfer coefficient and pressure drop of $CO_2$(R-744) during gas cooling Process of carbon dioxide in a horizontal tube were investigated experimentally and theoretically. The experiments were conducted without oil in the refrigerant loop. The main components of the refrigerant loop consist of a receiver. a variable-speed pump. a mass flowmeter, an evaporator. and a gas cooler(test section). The main components of the water loop consist of a variable-speed Pump. an constant temperature bath. and a flowmeter. The gas cooler is a counterflow heat exchanger with refrigerant flowing in the inner tube and water flowing in the annulus The test section consists of smooth, horizontal stainless steel tube of 9.53 mm outer diameter and 7.75 mm inner diameter. The length of test section is 6 m. The refrigerant mass fluxes were 200 ~ 300 kg/($m^2{\cdot}s$) and the inlet pressure of the gas cooler varied from 7.5 MPa to 8.5 MPa. The main results were summarized as follows : The predicted correlation can evaluated the R-744 exit temperature from the gas cooler within ${\pm}10%$ for most of the experimental data, given only the inlet conditions. The predicted gas cooley capacity using log mean temperature difference showed relatively food agreement with gas cooler capacity within ${\pm}5%$. The pressure drop predicted by Blasius estimated the pressure drop on the $CO_2$ side within ${\pm}4.3%$. The predicted heat transfer coefficients using Gnielinski's correlation evaluated the heat transfer coefficients on the $CO_2$ side well within the range of experimental error. The predicted heat transfer coefficients using Gao and Honda's correlation estimated the heat transfer coefficients on the coolant side well within ${\pm}10\;%$. Therefore. The predicted equation's usefulness is demonstrated by analyzing data obtained in experiments.