• Title/Summary/Keyword: mass conservation

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Conservation Concept Among Rural Children in Korea (우리나라 농촌아동(農村兒童)의 발달단계별(發達段階別) 보존(保存)개념)

  • Cho, Bok Hee
    • Korean Journal of Child Studies
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    • v.2
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    • pp.41-53
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    • 1981
  • The purpose of this study was to find out conservation concept acquisition in children of pre-operational and concrete periods. The data in this study were obtained through experimental methods with 62 children(28 males and 34 females) of 3-11 ages in Korean rural areas. The Piagetian instruments devised by Gelman were used for the study ; length, liquid, quantity, mass, and volume conservation tasks. Percentile and $x^2$-test were applied for the statistical analysis of data: and the results of the experiment are as follows: 1) Most children aged 3-9 years did not appear to understand that the length of sticks stayed the same regardless of position. 2) In liquid quantity conservation, children centered their attentions on one aspect ; juice level or number of container. Their conservation concept was developed correlating with ages. 3) In the experiment of mass conservation by using play dough, only 7.1% of children of pre-operational period and 47.1% of concrete period affirmed that the amounts of play dough were same after changed shape. 4) In volume task, 29.4% children aged 7 to 11 years admitted to conservation. 5) It is found that girls acquired length conservation earlier than boys, while there was no significant difference between boys and girls in other conservation tasks.

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Remedy for ill-posedness and mass conservation error of 1D incompressible two-fluid model with artificial viscosities

  • Byoung Jae Kim;Seung Wook Lee;Kyung Doo Kim
    • Nuclear Engineering and Technology
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    • v.54 no.11
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    • pp.4322-4328
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    • 2022
  • The two-fluid model is widely used to describe two-phase flows in complex systems such as nuclear reactors. Although the two-phase flow was successfully simulated, the standard two-fluid model suffers from an ill-posed nature. There are several remedies for the ill-posedness of the one-dimensional (1D) two-fluid model; among those, artificial viscosity is the focus of this study. Some previous works added artificial diffusion terms to both mass and momentum equations to render the two-fluid model well-posed and demonstrated that this method provided a numerically converging model. However, they did not consider mass conservation, which is crucial for analyzing a closed reactor system. In fact, the total mass is not conserved in the previous models. This study improves the artificial viscosity model such that the 1D incompressible two-fluid model is well-posed, and the total mass is conserved. The water faucet and Kelvin-Helmholtz instability flows were simulated to test the effect of the proposed artificial viscosity model. The results indicate that the proposed artificial viscosity model effectively remedies the ill-posedness of the two-fluid model while maintaining a negligible total mass error.

Development of the Character Constancy Concept: Self and Others (아동의 항상성개념 발달에 관한 연구 - 자신 및 타인의 개인특성을 중심으로 -)

  • Kim, Chang Ha
    • Korean Journal of Child Studies
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    • v.8 no.1
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    • pp.15-29
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    • 1987
  • The purpose of the present research was to investigate (I) the acquisition of character constancy of self and others as a function of age; (2) the pattern of acquisition of character constancy, and (3) the relationships between character constancy and conservation of number and mass. The subjects of this study were 160 children, 20 boys and 20 girls at each grade level, kindergarter through grade 3. The Character Constancy Tasks devised bi Rotenberg (1982) and conservation task of number and mass were administered to each child. Chi square, Guttman Scale analysis and Pearson's Correlation were used for the statistical analysis of data. The findings showed that there was increase with age in character constancy of others and of sell in that there was increase with age in children's belief that the characteristics of another person are stable across time and consistent despite changes in a person's appearance. Character constancy of others and of self were acquired in the developmental stages of identity, stability, and consistency. Character constancy of others and self correlated with the conservation of number and mass.

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Formulation of Mass Conservation and Linear Momentum Conservation for Saturated Porous Media in Arbitrary Lagrangian Eulerian(ALE) Description (포화된 다공질 매체의 질량 보존과 운동량 보존에 대한 Arbitrary Lagrangian Eulerian(ALE) 정식화)

  • Park, Tae-Hyo;Jung, So-Chan;Kim, Won-Cheul
    • Journal of the Korean GEO-environmental Society
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    • v.4 no.1
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    • pp.5-10
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    • 2003
  • The solids and the fluids in porous media have a relative velocity to each other. Due to physically and chemically different material properties and their relative velocity, the behavior of saturated porous media is extremely complicated. Thus, in order to describe and clarify the deformation behavior of saturated porous media, constitutive models for deformation of porous media coupling several effects need to be developed in frame of Arbitrary Lagrangian Eulerian(ALE) description. The aim of ALE formulations is to maximize the advantages of Lagrangian and Eulerian elements, and to minimize the disadvantages. Therefore, this method is appropriate for the analysis of porous media which are considered for the behavior of the solids and the fluids. For this reason, mass balance equations for saturated porous media are derived here in ALE description frames. ALE formulations of mass conservation for the solid phase and the fluid phase are expressed. Then, linear momentum balance equation for porous media as multiphase media is expressed.

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Analysis of Connecting Rod Bearings Using Mass-Conserving Boundary Condition (유량 보존 경계 조건을 적용한 커넥팅 로드 베어링의 성능 해석)

  • 김병직;김경웅
    • Tribology and Lubricants
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    • v.14 no.3
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    • pp.39-45
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    • 1998
  • Reynolds equation, which describes behavior of fluid film in journal bearings, basically satisfies mass conservation. But, boundary conditions usually used with this equation, e.g. half Sommerfeld or Reynolds boundary conditions, cannot fulfill this natural law of conservation. In the case of connecting rod bearing, where applied load is dynamic and its magnitude is relatively large, such unrealistic boundary conditions have serious influence on calculation results, especially on lubricant flow rate or power disspation which are important parameters in thermal analysis. In this paper, mass-conserving boundary condition was applied in the finite element analysis of connecting rod bearings. Lubricant flow rate and power dissipation rate were calculated together with journal center locus, minimum film thickness and maxmium film pressure. These computation results were compared with those of the case of Reynolds boundary condition. Balance between inlet and outlet flow rate was well achieved in the case of mass-conserving boundary condition.

EHL Analysis of Connecting Rod Bearings Using Mass-Conserving Boundary Condition (유량 보존 경계 조건을 적용한 커넥팅 로드 베어링의 EHL 해석)

  • 김병직;김경웅
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1998.04a
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    • pp.212-217
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    • 1998
  • Reynolds equation, which describes behavior of fluid film in journal bearing, basically satisfies mass conservation. But, boundary conditions usually used with this equation, e.g. half Sommerfeld or Reynolds boundary conditions, cannot fulfill this natural law of conservation. In the case of connecting rod bearing, where applied load is dynamic and its magnitude is relatively large, such unrealistic boundary conditions have serious influence on calculation results, especially on lubricant flow rate or power dissipation which are important parameters in thermal analysis. Another important factor in the analysis of connecting rod bearing is elastic deformation of bearing support structure which is relatively flexible. In this paper, EHL analysis of connecting rod beating is performed using mass-conserving boundary condition. Elastic deformation of bearing support structure and application of mass-conserving boundary condition have significant effects on the performances of connecting rod bearing.

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AN UNCONDITIONALLY GRADIENT STABLE NUMERICAL METHOD FOR THE OHTA-KAWASAKI MODEL

  • Kim, Junseok;Shin, Jaemin
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.145-158
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    • 2017
  • We present a finite difference method for solving the Ohta-Kawasaki model, representing a model of mesoscopic phase separation for the block copolymer. The numerical methods for solving the Ohta-Kawasaki model need to inherit the mass conservation and energy dissipation properties. We prove these characteristic properties and solvability and unconditionally gradient stability of the scheme by using Hessian matrices of a discrete functional. We present numerical results that validate the mass conservation, and energy dissipation, and unconditional stability of the method.

FINITE ELEMENT SCHEME FOR THE VISCOUS CAHN-HILLIARD EQUATION WITH A NONCONSTANT GRADIENT ENERGY COEFFICIENT

  • CHOO S. M.;KIM Y. H.
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.385-395
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    • 2005
  • A finite element scheme is considered for the viscous Cahn-Hilliard equation with the nonconstant gradient energy coefficient. The scheme inherits energy decay property and mass conservation as for the classical solution. We obtain the corresponding error estimate using the extended Lax-Richtmyer equivalence theorem.

FINITE DIFFERENCE SCHEMES FOR A GENERALIZED NONLINEAR CALCIUM DIFFUSION EQUATION

  • Choo, S.M.
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1247-1256
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    • 2009
  • Finite difference schemes are considered for a nonlinear $Ca^{2+}$ diffusion equations with stationary and mobile buffers. The scheme inherits mass conservation as for the classical solution. Stability and $L^{\infty}$ error estimates of approximate solutions for the corresponding schemes are obtained. using the extended Lax-Richtmyer equivalence theorem.

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College Students' Perception and Attitude Concerning Living Resource Conservation (대학생의 생활자원 절약 의식과 태도에 관한 기초연구)

  • 손경희
    • Journal of the Korean Home Economics Association
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    • v.35 no.5
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    • pp.279-289
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    • 1997
  • This study was performed to measure the level of college students' perception and attitude concerning living resource conservation. The questionnaire was developed to measure their attitude and perception on living resource conservation. The subjects were 787 college students in Seoul. The major findings are as follows: 1. The perception and attitude on living resource conservation of housing resource were higher than that of food resource or clothing resource. And the perception was higher than the attitude in general. 2. The perception and attitude on conservation of living resources were significantly different according to the gender, age, and grade. 3. The group that had high perception on conservation of living resource actively put living resource conservation in practice. 4. The group that had showed strong interesting on living resource conservation got information on it from mass communication system or their parents.

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