• 제목/요약/키워드: equilibrium equation

검색결과 838건 처리시간 0.033초

Latent Heat of Water Vapor of Rough Rice, Brown Rice, White Rice and Rice Husk

  • Lee, Hyo-Jae;Kim, Dong-Chul;Kim, Oui-Woung;Han, Jae-Woong;Kim, Woong;Kim, Hoon
    • Journal of Biosystems Engineering
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    • 제36권4호
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    • pp.267-272
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    • 2011
  • The latent heat of vaporization in rough rice, brown rice, white rice and rice hull was calculated by Clausius-Clapeyron equation, which does not require complex constraints as in Othmer method. Equilibrium relative humidity and ratio of the latent heat of vaporization with ln$P_{\upsilon}$ and ln$P_S$ were estimated with moisture contents ranging from 10% (d.b.) to 36% (d.b.) with 2% (d.b.) increment and temperatures ranging from $10^{\circ}C$ to $50^{\circ}C$ with $2.5^{\circ}C$ increment. An empirical equation for calculating the latent heat of vaporization in rice was developed as a function of moisture content and temperature. The equation agreed well with the calculated results. The ratio for latent heat of vaporization were the greatest for white rice while they were similar among rough rice, brown rice and rice hull.

The Equilibrium between Dilatant and Thixotropic Flow Units

  • 방정환;김남정;최상원;김응렬;한상준
    • Bulletin of the Korean Chemical Society
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    • 제17권3호
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    • pp.262-268
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    • 1996
  • Flow properties of all suspensions are controlled by their flow units. The factors effecting on the flow units are the characteristics of the particle itself (surface properties, particle sizes, particle shapes and etc.), the electrostatic interactions among the particles and the influences of the medium in the suspensions. Here, we studied the transition between the flow units with shear rate which can be added to the above factors. For the concentrated starch-water suspensions, by using the Couette type rotational viscometer, we confirmed that at low shear rate, dilatancy is appeared, but it is transformed to thixotropy with increasing shear rate. In order to explain this fact, we derived the following flow equation, representing the transition from dilatancy to thixotropy with shear rate, by assuming the equilibrium between the flow units. f = X1β1s./α1 + 1/(1+Kexp(c0s.2/RT))((1-X1)/α2)sinh-1{(β2)0 s. exp(c2s.2/RT)} + K exp(c0s.2/RT)/(1+K exp(c0s.2/RT))((1-X1)/α3)sinh-1{(β3)0 s. exp(-c3s.2/RT)} By applying this flow equation to the experimental flow curves for the concentrated starch-water suspensions, the flow parameters were obtained. And, by substituting the obtained flow parameters to the flow equation, the theoretical flow curves were reproduced. Also, Ostwald curve was represented by applying the flow equation, and the applicability for stress relaxation was discussed.

In vitro와 in vivo에서의 온도에 따른 스쿠티카충 성장의 수리 모델 (The mathematical model of temperature dependent growth of Scuticociliate Miamiensis avidus in vitro and in vivo conditions)

  • 오춘영
    • 한국어병학회지
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    • 제26권2호
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    • pp.65-75
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    • 2013
  • 실험실에서 온도 별로 스쿠티카충을 배양한 데이터(Table 1)를 사용 스쿠티카충 개체군의 변화율(1.2)과 성장 방정식(1.3)을 in vitro 조건에서 구했다. 이 모델에서는 스쿠티카충의 증가모델 식은 로지스틱 증가함수로 두 가지 온도에서의 스쿠티카충의 증가율 매개변수를 구하였고, 기생충으로 인한 숙주인 넙치에 치명적일 수 있는 기생충의 임계밀도를 구하였다. 또 다른 데이터는 같은 온도에서 스쿠티카충 수를 다양하게 넙치의 복강에 주사하는 그룹과 동일한 스쿠티카충 수를 복강에 주사한 후 온도를 다르게 한 두 그룹의 스쿠티카충의 감염으로 폐사한 실험데이터(Table 2)에 근거하여 넙치의 감염에서 폐사가 되는 시스템 식(1.5)을 세웠다. 정리에서는 감염된 넙치와 폐사된 넙치의 미분방정식계는 감염넙치와 폐사 넙치와의 평형점을 찾고 그 평형점에 대한 안정성과 불안정성을 설명하였다. 각 온도에서의 매개변수를 사용하면 방정식 (1.6)은 시간에 대해 넙치의 누적 폐사량을 알 수 있는 방정식이다. 이 논문에서는 다양한 초기값 $P_0$값에 따른 넙치의 폐사를 중심으로 보았으므로 온도와 $P_0$가 동시에 넙치폐사에 어떠한 관계를 갖는 연구를 하기에는 제약을 갖고 있다. 이 연구의 제한점에서 언급했듯 실험을 여러 번 시행한 것이 아니기 때문에 단지 근사적인 값으로 이해를 해야 한다. 또한 넙치의 면역력을 알 수 있다면 기생충으로부터 저항력을 연구하는데 오차를 좀 더 줄인 근사치를 구할 수 있을 것을 기대할 수 있을 것이다.

다공성 물질 안에서의 자연대류 현상에 대한 열역학적 국소평형상태 가정의 고찰 (An Investigation on Local Thermodynamic Equilibrium Assumption of Natural Convection in a Porous Medium)

  • 김인선;남진현;김찬중
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.112-117
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    • 2000
  • A numerical study on natural convection in a vertical square cavity filled with a porous medium is carried out with Brinkman-Forchheimer-extended Darcy flow model, and the validity of local thermodynamic equilibrium assumption is studied. The local thermodynamic equilibrium refers to the state in which a single temperature can be used to describe a heat transfer process in a multiphase system. With this assumption, the analysis is greatly simplified because only one equation is needed to describe the heat transfer process. But prior to using this assumption, it is necessary to know in what conditions the assumption can be used. The numerical results of this study reveal that large temperature difference between fluid phase and solid phase exists near wall region, paticularily when the convection becomes dominant over conduction. And the influence of flow parameters such as fluid Rayleigh number, fluid Prandtl number, dimensionless particle diameter and conductivity ratio are investigated.

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골탄(bone char)의 중금속 제거 특성에 관한 연구 (A Study on Heavy Metal Removal Characteristics Using Bone Char)

  • 김재영;김환기
    • 상하수도학회지
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    • 제21권2호
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    • pp.253-258
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    • 2007
  • The adsorption capacity of bone char for lead, cadmium and zinc was studied in both single and binary multiple component systems. Equilibrium experimental studies have been performed to determine the sorption capacity of bone char for each metal ion. These have been analysed using single and multi-component equilibrum models. The results show that the sorption of metal ions for multi-component systems can be predicted reasonably well from the IAS theory with the Langmuir equation, the Freundlich and the Slip equation for metal ions.

Heat Transfer of an Evaporating Liquid on a Horizontal Plate

  • Joo, Sang-Woo;Park, Min-Soo;Kim, Min-Suk
    • Journal of Mechanical Science and Technology
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    • 제19권8호
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    • pp.1649-1661
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    • 2005
  • We consider. a horizontal static liquid layer on a planar solid boundary. The layer is evaporating when the plate is heated. Vapor recoil and thermo-capillary are discussed along with the effect of mass loss and vapor convection due to evaporating liquid and non-equilibrium thermodynamic effects. These coupled systems of equations are reduced to a single evolution equation for the local thickness of the liquid layer by using a long-wave asymptotics. The partial differential equation is solved numerically.

HYPERELASTIC LIE QUADRATICS

  • Ozkan Tukel, Gozde;Turhan, Tunahan;Yucesan, Ahmet
    • 호남수학학술지
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    • 제41권2호
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    • pp.369-380
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    • 2019
  • Inspired by the problem of finding hyperelastic curves in a Riemannian manifold, we present a study on the variational problem of a hyperelastic curve in Lie group. In a Riemannian manifold, we reorganize the characterization of the hyperelastic curve with appropriate constraints. By using this equilibrium equation, we derive an Euler-Lagrange equation for the hyperelastic energy functional defined in a Lie group G equipped with bi-invariant Riemannian metric. Then, we give a solution of this equation for a null hyperelastic Lie quadratic when Lie group G is SO(3).

실질금리 결정모형에서의 구조변화분석 (Structural Change Analysis in a Real Interest Rate Model)

  • 전덕빈;박대근
    • 경영과학
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    • 제18권1호
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    • pp.119-133
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    • 2001
  • It is important to find the equilibrium level of real interest rate for it affects real and financial sector of economy. However, it is difficult to find the equilibrium level because like the most macroeconomic model the real interest model has parameter instability problem caused by structural change and it is supported by various theories and definitions. Hence, in order to cover these problems structural change detection model of real interest rate is developed to combine the real interest rate equilibrium model and the procedure to detect structural change points. 3 equations are established to find various effects of other interest-related macroeconomic variables and from each equation, structural changes are found. Those structural change points are consistent with common expectation. Oil Crisis (December, 1987), the starting point of Economic Stabilization Policy (January, 1982), the starting point of capital liberalization (January, 1988), the starting and finishing points of Interest deregulation (January, 1992 and December, 1994), Foreign Exchange Crisis (December, 1977) are detected as important points. From the equation of fisher and real effects, real interest rate level is estimated as 4.09% (October, 1988) and dependent on the underlying model, it is estimated as 0%∼13.56% (October, 1988), so it varies so much. It is expected that this result is connected to the large scale simultaneous equations to detect the parameter instability in real time, so induces the flexible economic policies.

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다공성 고분자 마이크로겔의 Bovine Serum Albumin 단백질의 흡착평형 (Adsorption Equilibrium of Bovine Serum Albumin Protein on Porous Polymer Microgels)

  • 김공수;강석호
    • 공업화학
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    • 제9권2호
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    • pp.311-316
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    • 1998
  • 물리 화학적인 특성이 다른 다공성 고분자 마이크로겔에 대한 bovine serum albumin (BSA-protein) 단백질의 흡착평형 특성을 연구하였다. 수용액 속에서 고분자와 단백질사이의 소수성 상호작용에 의하여 폴리부틸메타크릴레이트 (PBMA) 마이크로겔이 폴리비닐피리딘 (PVP)과 폴리아크릴로니트릴 (PAN) 마이크로겔보다 높은 흡착특성을 나타내었으며, PBMA 마이크로겔이 PVP와 PAN 마이크로겔보다 비가역적으로 흡착평형 특성을 나타내었다. 그러므로 고분자 마이크로겔의 물리적인 특성과 단백질-고분자 마이크로겔 사이의 정전기적 인력보다는 소수성 상호작용이 단백질의 흡착특성에 중요한 역할을 하고 있음을 알 수 있다. 또한 PBMA, PVP 및 PAN 마이크로겔 모두 Freundlich 흡착 등온식보다는 Langmuir 흡착 등온식에 잘 적용되었다.

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Analysis of slope stability based on evaluation of force balance

  • Razdolsky, A.G.;Yankelevsky, D.Z.;Karinski, Y.S.
    • Structural Engineering and Mechanics
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    • 제20권3호
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    • pp.313-334
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    • 2005
  • The paper presents a new approach for the analysis of slope stability that is based on the numerical solution of a differential equation, which describes the thrust force distribution within the potential sliding mass. It is based on the evaluation of the thrust force value at the endpoint of the slip line. A coupled approximation of the slip and thrust lines is applied. The model is based on subdivision of the sliding mass into slices that are normal to the slip line and the equilibrium differential equation is obtained as the slice width approaches zero. Opposed to common iterative limit equilibrium procedures the present method is straightforward and gives an estimate of slope stability at the value of the safety factor prescribed in advance by standard requirements. Considering the location of the thrust line within the soil mass above the trial slip line eliminates the possible development of a tensile thrust force in the stable and critical states of the slope. The location of the upper boundary point of the thrust line is determined by the equilibrium of the upper triangular slice. The method can be applied to any smooth shape of a slip line, i.e., to a slip line without break points. An approximation of the slip and thrust lines by quadratic parabolas is used in the numerical examples for a series of slopes.