• 제목/요약/키워드: Energy Equation

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Performance of Tilting Pad Journal Bearings with Different Thermal Boundary Conditions (열 경계 조건이 다른 틸팅패드저널베어링의 성능)

  • Suh, Junho;Hwang, Cheolho
    • Tribology and Lubricants
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    • v.37 no.1
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    • pp.14-24
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    • 2021
  • This study shows the effect of the thermal boundary condition around the tilting pad journal bearing on the static and dynamic characteristics of the bearing through a high-precision numerical model. In many cases, it is very difficult to predict or measure the exact thermal boundary conditions around bearings at the operating site of a turbomachine, not even in a laboratory. The purpose of this study is not to predict the thermal boundary conditions around the bearing, but to find out how the performance of the bearing changes under different thermal boundary conditions. Lubricating oil, bearing pads and shafts were modeled in three dimensions using the finite element method, and the heat transfer between these three elements and the resulting thermal deformation were considered. The Generalized Reynolds equation and three-dimensional energy equation that can take into account the viscosity change in the direction of the film thickness are connected and analyzed by the relationship between viscosity and temperature. The numerical model was written in in-house code using MATLAB, and a parallel processing algorithm was used to improve the analysis speed. Constant temperature and convection temperature conditions are used as the thermal boundary conditions. Notably, the conditions around the bearing pad, rather than the temperature boundary conditions around the shaft, have a greater influence on the performance changes of the bearing.

A Study on the Analysis of Various Characteristics for the High Pressure are Discharge System (고압 아아크 방전시스템의 각종 특성 해석에 관한 연구)

  • 지철근;박왕열;이진우
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.5 no.4
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    • pp.35-42
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    • 1991
  • Recently, HID lamps have been considered as important in regard to the trend of energy saving, and increasingly and diversely used in various ways. This paper will show the simulating models concerning high-pressure arc discharge system directly applicable for its design and manufacture, and analyze its various characteristics. For warm-up characteristics, the evaporating process of inner atoms is described in terms of second-order differential equation: for the thermal conduction from are axis to discharge wall and outer bulb, its transfer process is introduced according to five first-order differential equations. Under the steady state satisfying LTE, the time-variant characteristics are suggested by means of time-dependent energy balance equation derived from fluid equations, approximation of radiation energy and material functions in the discharge tube. The simulating models concerning these equations are then applied for high-pressure mercury lamp.

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Study of Excess Gibbs Energy for a Lattice Solution by Random Number Simulation (난수 모의실험을 통한 격자용액의 과잉깁스에너지에 대한 고찰)

  • Jung, Hae-Young
    • Journal of the Korean Chemical Society
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    • v.51 no.4
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    • pp.312-317
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    • 2007
  • Performing random number simulations, we approximated that the distribution of the number of ways for arranging molecules randomly on a lattice is a normal distributon for N12, the number of interactions between the nearest neighbors of different molecules. From this distribution, an approximate equation of the excess Gibbs energy GE for a lattice solution of nonrandom mixing was derived. Using the equation, liquid-vapor equilibria of several binary solutions were calculated and compared with the calculated result of other equations.

Theoretical Analysis of Carbon Nanotube Actuators (탄소나노튜브 작동기의 이론적 해석)

  • Park C.H.;Park H.C.;So H.K.;Jung B.B.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.927-931
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    • 2005
  • Carbon nanotube actuator, working under physical conditions (in aqueous solution) and converting electrical energy into mechanical energy directly, can be a good substitute for artificial muscle. The carbon nanotube actuator simulated in this paper is an isotropic cantilever type with an adhesive tape which is sandwiched between two single-walled carbon nanotubes. For predicting the static and dynamic characteristic parameters, the analytical model for a 3 layer bimorph carbon nanotube actuator is developed by using Euler-Bernoulli beam theory. The governing equation and boundary conditions are derived from energy principles. The induced displacements of the theoretical model are presented in order to investigate the performance of the carbon nanotube actuator with different control voltages. The developed model presents invaluable means for designing and predicting the performance of carbon nanotube actuator that can be used in artificial muscle applications.

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A Simplified Reynolds Stress Model with Turbulent Kinetic Energy-Length Scale (난류운동에너지-길이 Scale을 사용하는 단순화된 Reynolds 응력모형)

  • Huh Jae-Yeong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.404-408
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    • 2005
  • The Reynolds strss equation with turbulent energy-length scales was simplified in the nearly homogeneous turbulent equilibrium flow and a modified Reynolds stress model was proposed. Tn the model proposed in the present study, Reynolds stresses can be expressed in the form of algebraic equation, so that the turbulent stresses and related quantities are calculated through relatively simple procedures. The model predicted well the turbulent shear stresses of homogeneous flow in local equilibrium state obtained from experimental results published earlier Constants used In the model was determined universally and its validity was discussed briefly.

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Green's Function of Time-Energy Dependent Neutron Transport Equation

  • Hokee Minn;Pac, Pong-Youl
    • Nuclear Engineering and Technology
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    • v.2 no.4
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    • pp.263-268
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    • 1970
  • The spectrum of continuous transfer operator arising in a time-energy dependent neutron transport equation is analyzed. Four theorems concerning on the spectrum are proved. A convolution theorem of the generalized Mellin energy transform is given. Also the completeness theorem necessary for a final solution is proved. A unique time decay constant 1 - c is found, which is dominant asymptotically.

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Calculation of Stress Intensity Factors for a Thick Pipe Using Weight Function Method (가중함수법을 이용한 두꺼운 배관의 응력강도계수 계산)

  • Lee, Hyeong-Yeon;Lee, Jae-Han;Yoo, Bong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.7
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    • pp.2167-2173
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    • 1996
  • An approximate weight function technique using the indirect boundary integral equation has been presented for the analysis of stress intensity foactors(SIFs) of a thick pipe. One-term boundary integral was introduced to represent the crack surface displacement field for the displacement based weight function technique. An explicit closed-form SIF solution applicable to symmetric cracked pipes without any modification of the solution including both circumferential and radial cracks has been derived. The necessary information in the analysis is two or three reference SIFs. In most cases the SIF solution were in good agreement with those available in the literature.

A Basic Study of Crashworthiness Optimization Using Homogenization Method(II) (균질화법을 이용한 충돌 최적화 기초 연구(II))

  • 조용범;신효철
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.4
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    • pp.181-191
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    • 2002
  • The homogenization method is applied to maximize crash energy absorption for a given volume. Optimization analysis off closed-hat type example problem is conducted with different impact velocities and thicknesses. The results show that the bending-type deformation for the original design is changed to the folding-type deformation for a new design with a hole, which is partly due to the increase of the crash energy absorption for the new design. Dynamic mean crushing loads of the original and new design are compared with those by the theoretical equation by Wierzbicki. It shows that the dynamic mean crushing loads of new designs are very close to those by Wierzbicki's equation.

Simulation Study of Corona Discharge According to Flue Gas Conditions (배기가스 조건에 따른 코로나 방전 현상 시뮬레이션)

  • 정재우;조무현
    • Journal of Korean Society for Atmospheric Environment
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    • v.17 no.2
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    • pp.223-231
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    • 2001
  • In order to provide some insights into the influence of electric field, gas composition, and gas temperature on electron energy distribution and electron transport characteristics, the Boltzmann equation was solved by using cross section data for electron collisions, Critical electric fields for the corona development in dry air and flue gas are 150 and 80 Td, respectively. It was seen that the decrease of critical electric field in flue gas is mainly caused by the $H_2O$ addition through the comparison of ionization and attachment coefficients of gas components. Increase of $O_2$, $H_2O$, and $CO_2$ contents in gas affected discharge characteristics according to their reciprocal characteristics between lowering the ionization threshold and increasing the electro-negativity. As electric field increases, electrons with higher energies in the electron energy distribution also increase. The mean and characteristic electron energies also linearly increase with electric field. The variation of flue gas temperature did rarely affect on the electron energy distribution function and electron transport characteristics, because the gas temperature is several hundreds or thousands times lower than the electron temperature.

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Energy Distribution Function for Electrons in $SF_6+Ar$ Mixtures Gas used by MCS-BEq Algorithm (MCS-BEq에 의한 $SF_6+Ar$ 혼합기체의 에너지 분포함수)

  • Kim, Sang-Nam;Ha, Sung-Chul
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.07b
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    • pp.878-881
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    • 2002
  • Energy distribution function for electrons in $SF_6+Ar$ mixtures gas used by MCS-BEq algorithm has been analysed over the E/N range 30 ~ 300[Td] by a two term Boltzmann equation and by a Monte Carlo Simulation using a set of electron cross sections determined by other authors, experimentally the electron swarm parameters for 0.2[%] and 0.5[%] $SF_6+Ar$ mixtures were measured by time-of-flight(TOF) method, The results show that the deduced electron drift velocities, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients and mean energy agree reasonably well with theoretical for a rang of E/N values. The results obtained from Boltzmann equation method and Monte Carlo simulation have been compared with present and previously obtained data and respective set of electron collision cross sections of the molecules.

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