• 제목/요약/키워드: Biot Model

검색결과 71건 처리시간 0.024초

연제품류의 열확산도 추정에 관한 연구 3. 가열매체의 열확산도에 대한 영향 (Prediction of Thermal Diffusivities of Fish Meat Paste Products 3. Influence of Heating Medium on the Thermal Diffusivities)

  • 한봉호;최수일;김종철;배태진;조현덕
    • 한국수산과학회지
    • /
    • 제21권5호
    • /
    • pp.277-287
    • /
    • 1988
  • In this paper, the influence of heating medium on the thermal diffusivities of fish meat paste products was studied. Model products were heated in boiling water, saturated steam and soybean oil. The differences in temperature raise of the products were interpreted with Biot number of the products. Because of the large overall heat transfer coefficient of heating medium, the temperature raise of the products in boiling water and saturated steam was fast and the Biot number of the products could be recognized as infinite. But the temperature raise of the products in soybean oil was slow and the Biot number of the products was less than 50.

  • PDF

대류가열 비정상 접촉융해에 대한 해석해 (An Analytical Solution for the Unsteady Close-Contact Melting by Convective Heating)

  • 유호선
    • 대한기계학회논문집B
    • /
    • 제24권3호
    • /
    • pp.450-458
    • /
    • 2000
  • This study deals with the unsteady close-contact melting of solid blocks on a flat surface subject to convective heating. Normalizing the model equations in reference to the steady solution successfully leads them to cover constant heat flux and isothermal limits at small and large extremes of the Biot number, respectively. The resulting equations admit a compactly expressed analytical solution, which includes the previous solutions as a subset. Based on the steady solution, the characteristics of close-contact melting can be categorized into constant heat flux, transition, and isothermal regimes, the boundaries of which appear to be nearly independent of the contact force. The unsteady solutions corresponding to Biot numbers in the transition regime show intermediate behaviors between those of the two limits. With a proper approximation, the present solution procedure can cope with the case of variable fluid temperature and heat transfer coefficient. Regardless of imposed conditions, the mean normalized Nusselt number during the unsteady process asymptotically approaches to a constant value as the Biot number comes close to each limit.

모드 매칭법을 이용한 다층 다공성 탄성 흠음재가 채워진 원통형 소음기의 음향투과손실 계산 (Calculating transmission loss of cylindrical silencers lined with multi-layered poroelastic sound absorbing materials using mode matching method)

  • 이종무;양해상;성우제
    • 한국음향학회지
    • /
    • 제41권4호
    • /
    • pp.375-388
    • /
    • 2022
  • 본 논문은 다층 다공성 흡음재가 채워진 원통형 소음기의 음향투과손실을 구하는 과정을 다루었다. 다층다공성 흡음재 내부에서 전파되는 파동을 다루기 위해 Biot모델과 Johnson-Champoux-Allard-Lafarge(JCAL) 모델을 이용했다. 소음기 해석에 필요한 경계조건들을 얻었고 그것들을 토대로 수치적으로 모드를 구하는 과정을 설명했다. 얻은 모드들을 이용하여 2층 소음기에 대해 수치적인 실험을 진행했으며 처음 12개의 모드만으로도 음향투과손실이 수렴함을 보였다. 마지막으로 흡음재의 종류를 바꿔가면서 음향투과손실을 계산했고 이를 유한요소법을 이용한 결과와 비교함으로써 본 연구에서 제시한 모드 매칭법의 유효성을 검증했다.

Dispersion of shear wave in a pre-stressed hetrogeneous orthotropic layer over a pre-stressed anisotropic porous half-space with self-weight

  • Kakar, Rajneesh;Kakar, Shikha
    • Structural Engineering and Mechanics
    • /
    • 제59권6호
    • /
    • pp.951-972
    • /
    • 2016
  • The purpose of this study is to illustrate the propagation of the shear waves (SH-waves) in a prestressed hetrogeneous orthotropic media overlying a pre-stressed anisotropic porous half-space with self weight. It is considered that the compressive initial stress, mass density and moduli of rigidity of the upper layer are space dependent. The proposed model is solved to obtain the different dispersion relations for the SH-wave in the elastic-porous medium of different properties. The effects of compressive and tensile stresses along with the heterogeneity, porosity, Biot's gravity parameter on the dispersion of SH-wave are shown numerically. The wave analysis further indicates that the technical parameters of upper and lower half-space affect the wave velocity significantly. The results may be useful to understand the nature of seismic wave propagation in geophysical applications and in the field of earthquake and material science engineering.

Acoustic Characteristics of Sand Sediment Slab with Water- and Air-filled Pore

  • Roh Heui-Seol;Lee Kang Il;Yoon Suk Wang
    • 한국음향학회:학술대회논문집
    • /
    • 한국음향학회 2001년도 추계학술발표대회 논문집 제20권 2호
    • /
    • pp.223-226
    • /
    • 2001
  • Acoustic pressure transmission coefficient and phase velocity are measured as the functions of water porosity and air porosity in sand sediment slabs with water- and air-filled pores. Pores in the sand sediment slab we modeled as the structure of circular cylindrical tube shape filled with water and air. The first kind(fast) wave and second kind (slow) wave, identified by Biot, in the solid and fluid mixed medium are affected by the presence of water and air pores. Acoustic characteristics of such porous medium in water are also theoretically investigated in terms of the modified Biot-Attenborough (MBA) model, which uses the separate treatment of viscosity effect and thermal effect in non-rigid porous medium with water- and air-filed pores. The information on the fast waves introduces new concepts of the generalized tortuosity factor and dynamic shape factor.

  • PDF

침수지반거동 해석을 위한 유한요소모델 (FINITE ELEMENT MODEL FOR THE ANALYSIS OF FLUID-SATURATED POROUS SOLID)

  • 구정회;홍순조;김문겸;황학주
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1992년도 가을 학술발표회 논문집
    • /
    • pp.168-173
    • /
    • 1992
  • In the design and construction of underground structures, it is essential to accurately predict the structural behavior of the fluid-saturated ground during and after excavation. Terzaghi and Biot established the theory for the behavior of such two phase material. For the purpose of analysing the saturated porous solid system, finite element procedure provides a powerful tool. In this paper, a finite element analysis procedure based upon Biot's theory is presented to evaluate the deformation of solid skeleton and pore pressure of entraped fluid. Teraghi's onf-dimensional and Gibson's two-dimensional problems are solved using Q4 and Q8 element to verify the program validity.

  • PDF

유한요소해석을 이용한 SBP 시험의 결과해석 - 점성토 지반의 압밀특성 (Numerical analysis of Self-Boring Pressuremeter test results using FEM - Consolidation characteristics of clay)

  • 장인성;정충기
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 1999년도 가을 학술발표회 논문집
    • /
    • pp.67-74
    • /
    • 1999
  • Self-Boring Pressuremeter Test(SBPT) is known to be the most effective in-situ test method which can reliably determine consolidation characteristics as well as deformation modules and untrained shear strength. In order to derive the coefficient of consolidation using SBPT results it is necessary to obtain the dissipation behavior from the pore pressure change with time during constant radial strain(generally 10%) and to derive the reliable time factor(Τ) from the analytical method which considers the real in-situ conditions. As previous studies on time factor are based on the assumptions of plane strain condition that the membrane of SBP is infinite, of untrained condition during the expansion of the probe and of elastic soil behavior during consolidation, these analyses can't consider the real boundary conditions and the real soil behaviour. In this study, consolidation analysis similar to real in-situ conditions including test procedure is conducted using finite element program which employs MCC model and Biot theory. Time factor considering the effects of finite membrane length, the total pressure change during consolidation and partial drainage is proposed and compared with previous results.

  • PDF

유한다층토지반의 응력해석(1) (Stress Analysis of Finite Multi-layered Soils)

  • 박병기;장용채
    • 한국지반공학회지:지반
    • /
    • 제6권4호
    • /
    • pp.19-32
    • /
    • 1990
  • 일반적으로 지반은 복잡하고 다양한 다층구조로 되어있다. 이러한 다층토 지반을 해석 하기 위 해 본문은 지반의 구성식,층의 구조와 두께, 각층의 강성, 재하조건 등을 변화시켜 수치해석 하였다. 기존의 다층토 지반은 Burmister의 2층계이론인 탄성해로 지중응력분포를 해석하였으나,여기서는 Biot방정식을 지배방정식으로하여 개발된 지반해석프로그램에 탄 .점소성구성식을 이용하여 층의 조건에 관계없이 2층이상의 모든 다층토지반의 지중응력분포를 해석 하고자 한다. 이들의 결과를 Burmister나 Fok의 결과와 비교하였으며, 서로 근접한 결과를 얻었다. 따라서, 본 연구는 다양한 다층토 지반을 전산 프로그램을 이용하여 실제에 가까운 응력전달기구 를 밝히려는 목적으로 수행된 것이다.

  • PDF

Numerical analysis of embankment primary consolidation with porosity-dependent and strain-dependent coefficient of permeability

  • Balic, Anis;Hadzalic, Emina;Dolarevic, Samir
    • Coupled systems mechanics
    • /
    • 제11권2호
    • /
    • pp.93-106
    • /
    • 2022
  • The total embankment settlement consists of three stages: the initial settlement, the primary consolidation settlement, and the secondary consolidation settlement. The total embankment settlement is largely controlled by the primary consolidation settlement, which is usually computed with numerical models that implement Biot's theory of consolidation. The key parameter that affects the primary consolidation time is the coefficient of permeability. Due to the complex stress and strain states in the foundation soil under the embankment, to be able to predict the consolidation time more precisely, aside from porosity-dependency, the strain-dependency of the coefficient of permeability should be also taken into account in numerical analyses. In this paper, we propose a two-dimensional plane strain numerical model of embankment primary consolidation, which implements Biot's theory of consolidation with both porosity-dependent and strain-dependent coefficient of permeability. We perform several numerical simulations. First, we demonstrate the influence of the strain-dependent coefficient of permeability on the computed results. Next, we validate our numerical model by comparing computed results against in-situ measurements for two road embankments: one near the city of Saga, and the other near the city of Boston. Finally, we give our concluding remarks.

부분 동결된 소금물에서의 초음파감쇠에 대한 다공성탄성 모델 (A poroelastic model for ultrasonic wave attenuation in partially frozen brines)

  • Matsushima, Jun;Nibe, Takao;Suzuki, Makoto;Kato, Yoshibumi;Rokugawa, Shuichi
    • 지구물리와물리탐사
    • /
    • 제14권1호
    • /
    • pp.105-115
    • /
    • 2011
  • 유체를 포함하는 혼합 매질에서의 탄성파 고유 감쇠에 대한 다양한 메커니즘 중, 탄성파 전파 시 고체와 유체 사이에서의 상대적 운동은 가장 중요한 감쇠 메커니즘 중의 하나이다. 선행 연구에서는 얼음의 미세 공극 안에 존재하는 소금물이 초음파의 전파에 미치는 영향을 분석하기 위하여 얼음과 소금물이 공존하는 매질에서 초음파 전파 실험하였다. 부분적으로 동결된 소금물에서 각기 다른 온도에서의 초음파 감쇠의 물리적인 메커니즘을 350 ~ 600 kHz의 주파수 대역에서 규명하기 위하여, Biot 이론에 입각한 다공성의 탄생 모델을 도입하여 초음파의 전파를 측정하였다. 고체상은 얼음으로, 액체상은 소금물로 가정한 뒤 펄스 핵자기공명기술로 측정한 유체의 성질을 이용하여 각각의 온도에서의 공극률을 계산한 결과, 실험으로 측정한 감쇠값은 500 kHz에서 계산된 고유 감쇠값과 다르게 나타났으며 이는 squirt -flow 메커니즘과 파의 산란 효과와 같은 다른 감쇠 메커니즘도 고려해야 한다는 것을 의미한다.