• Title/Summary/Keyword: heat equation

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An Analysis Finite Element for Elasto-Plastic Stresses Considerating Phase Transformation at the Quenching Process(II) -From Austenite to Martensite- (퀜칭과정에서 상변태를 고려한 탄소성 열응력의 유한요소 해석(II) -오오스테나이트에서 마르텐사이트로의 변태-)

  • Kim, O.S.;Song, G.H.;Koo, B.K.
    • Journal of the Korean Society for Heat Treatment
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    • v.8 no.1
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    • pp.12-23
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    • 1995
  • In this a set of constitutive equation relevant to the analysis of thermo-elasto-plastic materials with phase transformation during quenching process was presented on the basis of continuum thermo-dynamic. In calculating the transient thermal stresses, temperature between coolant and specimen(SM45C) surface was determined from the heat transfer coefficient. A calculation was made for specimen with 40mm in diameter quenched in coolant from $820^{\circ}C$ and the results are as follow. Stresses at starting point of transformation always show the maximum tensile value. Reverse of stresses takes place after completion of transformation of inner part at specimen.

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Existence of Solutions on a Semi-Infinite Interval for Ordinary Differential Equation with Nonlocal Boundary Conditions (비국소 경계 조건들을 가진 상미분 방정식들의 반무한 구간 상에서 근들의 존재성)

  • Do, Tae-Sug
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.4
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    • pp.309-312
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    • 2002
  • Motivated by the problem of steady-state heat conduction in a rod whose heat flux at one end is determined by observation of the temperature and heat flux at some point ${\xi}$ in the interior of the rod, we consider the problem y"(x)=a(x, y(x))y(x) (0$${\lim_{x{\rightarrow}{\infty}}}y(x)=0,\;y^{\prime}(0)=g(y({\xi}),\;y^{\prime}({\xi}))$$ for some fixed ${\xi}{\in}(0,{\infty})$. We establish conditions guaranteeing existence and uniqueness for this problem on the semi-infinite interval [0,${\infty}$).

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Application of Implicit Function Theorem to Existence of Solutions to Ordinary Differential Equations with Nonlocal Boundary Conditions, II (비국소 경계 조건들을 가진 상미분 방정식들의 근의 존재성에 음함수 정리들의 응용 II)

  • Do, Tae-Sug
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.4
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    • pp.303-307
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    • 2002
  • We consider the problem y"=a(x,y)(y-b), (0$$y(0)=0,\;y^{\prime}(1)=g(y({\xi}),\;y^{\prime}({\xi})),\;{\xi}$$ fixed in (0,1). This is a model of steady-state heat conduction in a rod when the heat flux at the end x=1 is determined by observation of the temperature and heat flux at some interior point ${\xi}$. We establish conditions sufficient for existence, uniqueness, and positivity of solutions.

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Numerical Study of the Magnetohydrodynamic Heat Transfer Peristaltic Flow in Tube Against High Reynolds Number

  • Hamid, A.H.;Javed, Tariq;Ali, N.
    • Journal of the Korean Physical Society
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    • v.73 no.9
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    • pp.1295-1302
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    • 2018
  • In the present investigation, we have studied the magnetohydrodynamic (MHD) heat transfer of peristaltic flow in a tube. The analysis is made without imposing any assumption to obtain the streamline and isothermal line directly. Galerkin's finite element method has been used on the governing Navier-Stoke's equation in the form of ${\psi}-{\omega}$. The graphs of the computed longitudinal velocity, temperature and pressure are plotted against different value of the emerging parameter by using the stream function and vorticity. The results are valid beyond the long wavelength and the low Reynolds number limits. We conclude that higher values of the parameters are not independent of the time mean flow rate.

Development of a Multi-Physics Model of Polymer Electrolyte Membrane Fuel Cell Using Aspen Custom Modeler (Aspen Custom Modeler를 이용한 고분자전해질 연료전지 다중 물리 모델 개발)

  • SON, HYEYOUNG;HAN, JAESU;YU, SANGSEOK
    • Transactions of the Korean hydrogen and new energy society
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    • v.32 no.6
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    • pp.489-496
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    • 2021
  • The performandce of polymer electrolyte membrane fuel cell depends on the effective management of heat and product water by the electrochemical reaction. This study is designed to investigate the parametric change of heat management along the channel of polymer electrolyte membrane. The model was developed by an aspen custom modeler that it can solve differential equation with distretization model. The model can simulate water transport through the membrane electrolyte that is coupled with heat generation. In order to verify the model, it is compared with the experimental data. The water transport behavior is then evaluated with the simulation model.

Experiment and Electro-Thermo-Chemical Modeling on Rapid Resistive Discharge of Large-Capacity Lithium Ion Battery

  • Doh, Chil-Hoon;Ha, Yoon-Cheol;Eom, Seung-Wook;Yu, Jihyun;Choe, Seon-Hwa;Kim, Seog-Whan;Choi, Jae-Won
    • Journal of Electrochemical Science and Technology
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    • v.13 no.3
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    • pp.323-338
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    • 2022
  • Heat generation and temperature of a battery is usually presented by an equation of current. This means that we need to adopt time domain calculation to obtain thermal characteristics of the battery. To avoid the complicated calculations using time domain, 'state of charge (SOC)' can be used as an independent variable. A SOC based calculation method is elucidated through the comparison between the calculated results and experimental results together. Experiments are carried for rapid resistive discharge of a large-capacitive lithium secondary battery to evaluate variations of cell potential, current and temperature. Calculations are performed based on open-circuit cell potential (SOC,T), internal resistance (SOC,T) and entropy (SOC) with specific heat capacity.

LES studies on combustion characteristic with equivalence ratios in a model gas turbine combustor (모형 가스터빈 연소기에서 당량비 변화에 따른 연소특성에 관한 LES 연구)

  • Hwang, Cheol-Hong;Lee, Hyun-Yong;Lee, Chang-Eon
    • 한국연소학회:학술대회논문집
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    • 2006.10a
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    • pp.242-250
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    • 2006
  • The impacts of equivalence ratio on the flow structure and flame dynamics in a model gas turbine combustor are investigated using large eddy simulation(LES). Dynamic k-equation model and G-equation flamelet model are employed as LES subgrid model for flow and combustion, respectively. As a result of mean flow field for each equivalence ratio, the increase of equivalence ratio brings about the decrease of swirl intensity through the modification of thermal effect and viscosity, although the same swirl intensity is imposed at inlet. The changes of vortical structure and turbulent intensity etc. near flame surface are occurred consequently. That is, the decrease of equivalence ratio can leads to the increase of heat release fluctuation by the more increased turbulent intensity and fluctuation of recirculation flow. In addition, the effect of inner vortex generated from vortex breakdown on the heat release fluctuation is increased gradually with the decrease of equivalence ratio. Finally, it can be identified that the variations of vortical structure play an important role in combustion instability, even though the small change of equivalence ratio is occurred.

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Evaluation on fracture toughness of high frequency electric resistance welded steel pipe by unloading compliance method (고주파 전기저항 용접강관의 제하 컴플라이언스법에 의한 파괴인성 평가)

  • 오세욱;윤한기;안광주
    • Journal of Welding and Joining
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    • v.5 no.2
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    • pp.44-52
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    • 1987
  • The fracture toughness, $J_{IC}$ of high frequency electric resistance welded steel pipe for smooth and side-grooved CT specimen was evaluated by unloading compliance method. The crack growth, .${\delta}a$ was obtained from the equation of Donald and Saxena & Hudak, and $J_{IC}$ was determined from the curve of J-${\delta}a$ relations. The crack growth on the experiment using unloading compliance method is underestimated as compared with ${\delta}a$ measured directly by the SEM, so the reliability of $J_{IC}$ from saxena & Hudak equation is large than that from Donald. The $J_{IC}$ value of side-grooved CT Specimen is estimated less than that of smooth, and this is the effect of the side-groove, the shear-lip of crack tip and the reduction of crack tunnelling phenomena.

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A Study on the prediction of braking time for rotor brake system considering the friction coefficient variation with temperature (마찰계수의 변화를 고려한 로터 브레이크 시스템의 제동시간 예측)

  • Choi, Jang-Hun;Oh, Min-Hwan;Cho, Jin-Yeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.7
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    • pp.653-660
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    • 2009
  • A helicopter rotor brake system stops or reduces the speed of the rotor by transforming the kinetic energy into the heat energy. The frictionally generated heat has a considerable effect on the frictional property of material itself and causes the change of the friction coefficient which may affect the breaking time significantly. In this paper, to take into account the effect of change of friction coefficient according to temperature on braking time, thermo-mechanically coupled analysis is carried out by commercial software ABAQUS. Further, simple theoretical equation is derived considering thermo-mechanical behaviors. The predicted braking times both from theoretical and numerical methods are compared and validity of proposed theoretical equation is investigated.

Power System Security Control Method for Quench Characteristic of High-Temperature Superconducting Cable (초전도 케이블의 Quench 특성에 대한 계통안전성 제어방식)

  • Lee, Geun-Joon;Hwang, Si-Dol
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.19 no.6
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    • pp.29-35
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    • 2005
  • This paper presents the basic quench protection idea for the HTS(High-Temperature Superconducting) cable. In Korea power system, the transfer capability of transmission line is limited by the voltage stability, HTS cable could be one of the countermeasure to enhance the transfer limit with its higher current capacity and lower impedance[1]. However, the quench characteristic makes not only HTS cable to loss its superconductivity, but also change the impedance of the transmission line and power system operating condition dramatically. This pheonominum threats HTS cable safety as well as power system security, therefore a proper protection scheme and security control counterplan have to be established before HTS cable implementation. In this paper, the quench characteristics of HTS cable for the fault current based on heat balance equation was established and a proper protection method regarding conventional protection system was suggested.