• Title/Summary/Keyword: Heat Equation

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Natural Convection in Shallow Cavities

  • Bae, Dae-Seok
    • International Journal of Air-Conditioning and Refrigeration
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    • v.6
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    • pp.158-167
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    • 1998
  • Natural convection heat transfer in a rectangular enclosure is investigated numerically for low aspect ratio(height/width) cavities. Numerical results are obtained for aspect ratios between ${10}^{-2}$ and ${10}^0$, Rayleight numbers from ${10}^3$ to ${10}^7$ and Prandtl numbers from 10$^{-2}$ to 10$^3$. Results are compared with existing analytical and experimental results. A heat transfer correlation is developed to predict the mean Nusselt number as a function of the three governing dimensionless parameters: Rayleigh number, aspect ratio and Prandtl number.

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High Temperature Crack Growth Behavior at Heat Affected Zone (용접열영향부 균열의 고온에서의 성장거동)

  • 백운봉;윤기봉
    • Proceedings of the KWS Conference
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    • 2001.05a
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    • pp.104-107
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    • 2001
  • Creep-fatigue crack growth behavior at the heat affected zone of 1Cr-0.5Mo steel weldment has been experimentally studied. Load hold times of the tests for trapezoidal fatigue wave-shapes were varied among 0, 30, 300 and 3,600 seconds. Time-dependent crack growth rates were characterized by the $C_{t}$ estimated with the equation proposed by the previous finite element analysis work. It was concluded that the $C_{t}$ values calculated from the properties of parent metal were quite comparable to the accurate $C_{t}$ values calculated from both of weld and parent metals.etals.

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A study on the transient temperature distribution for spot welds (점용접에 있어서 온도분포의 변화에 관한 연구)

  • 왕지석;조용배
    • Journal of Advanced Marine Engineering and Technology
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    • v.12 no.1
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    • pp.37-45
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    • 1988
  • A calculating method of transient temperature distribution due to spot welding of thin plates is studied in this paper. Considering the contact stress between upper and lower plate and temperature-dependence of specific resistance and elastic limit of base metal, the model of calorific density of heat source was decided. Using 2-dimensional polar coordinates system, the governing equation of heat transfer was developed. The thermal cycles of various points were recorded using C-A thermocouples during spot welding procedure for mild steel plates of 1mm thickness, and those results were compared with the results of calculations presented in this paper.

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Hall Effect on Unsteady Hartmann Flow with Heat Transfer Under Exponential Decaying Pressure Gradient

  • Attia Hazem A.
    • Journal of Mechanical Science and Technology
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    • v.20 no.8
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    • pp.1302-1308
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    • 2006
  • The unsteady Hartmann flow of an electrically conducting, viscous, incompressible fluid bounded by two parallel non-conducting porous plates is studied with heat transfer taking the Hall effect into consideration. An external uniform magnetic field and a uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to an exponential decaying pressure gradient. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the ion slip and the uniform suction and injection on both the velocity and temperature distributions is examined.

Numerical Analysis on Heat Transfer and Fluid Flow Characteristics of Traction Motor for Electric Car (전동차용 견인전동기의 열유동 특성에 관한 전산해석)

  • 남성원;김영남;채준희
    • Proceedings of the KSR Conference
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    • 1998.11a
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    • pp.137-143
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    • 1998
  • Numerical simulation is conducted to clarify the heat transfer and fluid flow characteristics of traction motor for electric car SIMPLE algorithm based on finite volume method is used to make linear algebra equation. The governing equations are solved by TDMA(TriDiagonal Matrix Algorithm) with line-by-line method and block correction. From the results of simulation, the characteristics of cooling pattern is strongly affected by the size of hole in stator core. In the case of high rotational speed of rotor, temperature difference along the axial direction is more decreased than that of low rotational speed.

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Heat transport characteristics by heat generation of electrochemical reactions in proton exchange membrane fuel cell (고분자전해질 연료전지에서 전기화학반응 열생성에 의한 열전달특성)

  • Cho, Son-Ah;Lee, Pil-Hyong;Han, Sang-Seok;Hwang, Sang-Soon
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.3377-3382
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    • 2007
  • In proton exchange membrane fuel cell, the heat is generated at the catalyst layer as result of exothermic electrochemical reaction. This heat increases temperature of gas diffusion layer and membrane whose conductivity is very sensitive to humidity, function of temperature. So it is very important to analysis heat transfer through fuel cell to maintain temperature at specified range. In this paper numerical simulation was done including reversible, irreversible, ionic resistance, water formation loss to source term of energy equation. Results show that irreversible and water formation loss contributes mainly to energy source term and as current density increases, all of energy source terms become increased and Nusselt number is increased as results of more heat generation. Particularly irreversible loss is found to be predominant among the all energy source and water formation at cathode channel influences the temperature distribution of fuel cell greatly.

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A Study on the Influence Affect of Thermal Sensation in Korean and Japanes to Sit Directly on a Heated Floor (바닥난방시 바닥 접촉면에 의한 한국인과 일본인의 온열감 반응에 대한 비교 연구)

  • Choi, Young-Sik
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.1
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    • pp.81-89
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    • 2002
  • The objective of this paper is to clarify the combined effect of heat conduction, air temperature and thermal radiation on the person seated on the floor under operation of floor heating system. Experiments were conducted for summer seasons under 8 kinds of condition: combinations of air temperature $20^{\circ}C$, $22.5^{\circ}C$ and floor temperature $20^{\circ}C$, $22.5^{\circ}C$, $30^{\circ}C$, $35^{\circ}C$ and $40^{\circ}C$ under still air. Japanese and Koreans were adopted as subjects. To evaluate the effect of conduction operative temperature modified by heat conduction was derived from the human heat balance equation. New weighting coefficients were estimated from the modified operative temperature and modified mean skin temperature. As for thermal sensation the modified operative temperature more significantly correlated to that sensation each heat transfer processes. As the floor temperature is higher, the human conduction heat gain from floor increase and the dry heat from the human body decrease.

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A Study on the Periodic Transient Response Characteristics in Annular Fin with Uniform Thickness (均一두께의 環狀흰에서 週期的 過渡應答 特性에 관한 硏究)

  • 김광수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.2
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    • pp.338-348
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    • 1988
  • This study presents an analysis of periodic heat diffusion in an annular fin with uniform thickness. When the temperature of the fin base is changed in the form of a sinusoidal function, the exact temperature solution can be obtained by Laplace transformation in terms of the dimensionless parameters in the infinite series. Local heat flux and average heat flux, local fin efficiency and average fin efficiency were obtained. Particularly, the table of eigenvalues that are the indispensable condition in solving the heat transfer problem of annular fin in a transient state with convection phenomena at the fin edge is provided. The tables of heat fluxes and average heat fluxes, fin efficiencies and average fin efficiencies are also provided from the computed results. Also, substituting the variations of dimensionless parameters into the these exact solutions, the characteristics of these response are investigated.

Thermal Diffusivity Evaluation of Backfilling Materials for Horizontal Ground Heat Exchanger Using Single-Probe Method (단일 탐침법을 이용한 수평형 지중열교환기 뒤채움재의 열확산계수 산정)

  • Sohn, Byong-Hu;Choi, Hang-Seok
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.23 no.5
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    • pp.356-364
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    • 2011
  • Storage and transfer heat in soils is governed by the soil thermal properties and these properties are therefore needed in many engineering applications, including horizontal ground heat exchanger for ground-coupled heat pumps. This paper presents the evaluation results of the thermal diffusivity of soils (silica, quartzite, limestone, sandstone, granite, and two masonry soils used for the trench backfilling materials of the horizontal ground heat exchanger. To assess this thermal property, we (i) measure the soil thermal conductivities using single-probe method and (ii) use the de Vries method of summing the heat capacities of the soil constituents. The results show that the thermal diffusivity tends to increase as dry soil begins to wet, but it approaches a constant value or even decreases as the soil continues to wet. Combined algorithm with and improved model for the thermal conductivity of soils and the constituent equation provides accurate estimates of the soil thermal diffusivity.

Optimum Operating Conditions of Metal Hydride Chemical Heat Pump (Metal Hydride Chemical Heat Pump의 최적 작동조건에 관한 연구)

  • Kwon, Kee-Won;Lee, Jai-Young
    • Journal of Hydrogen and New Energy
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    • v.1 no.1
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    • pp.24-30
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    • 1989
  • Prototype metal hydride chemical heat pump was constructed using $LaNi_{4.7}Al_{0.3}$ for high temperature hydride and $MmNi_{4.15}Fe_{0.65}Al_{0.2}$ for low temperature hydride, and the effects of operating conditions on the performace of heat pump were investigaed to find out the optimum operating condition. Operating variables considered in this work were cycling time, temperature of hot air blown to the high temperature reactor, the amount of hydrogen gas with which the system was charged initially, and the flow rate of air at both reactors. Power of heat pump increases monotonically as $T_h$ increases, and shows maxima at 4.8H/M and 15-25 min in $H_2$ charged and cycling time respectively. Power of heat pump increases as air flow rate increases at low flow rate, but saturates to some value confined by heat flow rate through the hydride bed, These all phenomena can be explained by the modified power equation.

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