• Title/Summary/Keyword: mixture theory

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Prediction of Development Process of the Spherical Flame Kernel (구형 화염핵 발달과정의 예측)

  • 한성빈;이성열
    • Transactions of the Korean Society of Automotive Engineers
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    • v.1 no.1
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    • pp.59-65
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    • 1993
  • In a spark ignition engine, in order to make research on flame propagation, attentive concentration should be paid on initial combustion stage about the formation and development of flame. In addition, the initial stage of combustion governs overall combustion period in a spark ignition engine. With the increase of the size of flame kernel, it could reach initial flame stage easily, and the mixture could proceed to the combustion of stabilized state. Therefore, we must study the theoretical calculation of minimum flame kernel radius which effects on the formation and development of kernel. To calculate the minimum flame kernel radius, we must know the thermal conductivity, flame temperature, laminar burning velocity and etc. The thermal conductivity is derived from the molecular kinetic theory, the flame temperature from the chemical reaction equations and the laminar burning velocity from the D.K.Kuehl's formula. In order to estimate the correctness of the theoretically calculated minimum flame kernel radius, the researcheres compared it with the RMaly's experimental values.

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Concurrence of Rank-two Multipartite Quantum States (2-계수 양자상태의 양자얽힘 분석)

  • Bae, Joonwoo
    • Korean Journal of Optics and Photonics
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    • v.29 no.2
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    • pp.64-69
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    • 2018
  • In this work, we derive a general lower bound to concurrence of an arbitrary mixture of two pure states, that is, rank-two multipartite quantum states. We show that the lower bound can tightly detect entanglement of rank-two states, and also can be implemented experimentally with present-day technologies, i.e. single-copy level measurement and classical post-processing.

Prediction of the critical buckling load of SWCNT reinforced concrete cylindrical shell embedded in an elastic foundation

  • Timesli, Abdelaziz
    • Computers and Concrete
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    • v.26 no.1
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    • pp.53-62
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    • 2020
  • Concrete is the most widely used substance in construction industry, so it's been required to improve its quality using new technologies. Nowadays, nanotechnology offers new frontiers for improving construction materials. In this paper, we study the stability analysis of the Single Walled Carbon Nanotubes (SWCNT) reinforced concrete cylindrical shell embedded in elastic foundation using the Donnell cylindrical shell theory. In this regard, we propose a new explicit analytical formula of the critical buckling load which takes into account the distribution of SWCNT reinforcement through the thickness of the concrete shell using the U, X, O and V forms and the elastic foundation using Winkler and Pasternak models. The rule of mixture is used to calculate the effective properties of the reinforced concrete cylindrical shell. The influence of diverse parameters on the stability behavior of the reinforced concrete shell is also discussed.

On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams

  • Tagrara, S.H.;Benachour, Abdelkader;Bouiadjra, Mohamed Bachir;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.19 no.5
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    • pp.1259-1277
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    • 2015
  • In this work, a trigonometric refined beam theory for the bending, buckling and free vibration analysis of carbon nanotube-reinforced composite (CNTRC) beams resting on elastic foundation is developed. The significant feature of this model is that, in addition to including the shear deformation effect, it deals with only 3 unknowns as the Timoshenko beam (TBM) without including a shear correction factor. The single-walled carbon nanotubes (SWCNTs) are aligned and distributed in polymeric matrix with different patterns of reinforcement. The material properties of the CNTRC beams are assessed by employing the rule of mixture. To examine accuracy of the present theory, several comparison studies are investigated. Furthermore, the effects of different parameters of the beam on the bending, buckling and free vibration responses of CNTRC beam are discussed.

Dynamic buckling response of temperature-dependent functionally graded-carbon nanotubes-reinforced sandwich microplates considering structural damping

  • Shokravi, Maryam;Jalili, Nader
    • Smart Structures and Systems
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    • v.20 no.5
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    • pp.583-593
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    • 2017
  • This research deals with the nonlocal temperature-dependent dynamic buckling analysis of embedded sandwich micro plates reinforced by functionally graded carbon nanotubes (FG-CNTs). The material properties of structure are assumed viscoelastic based on Kelvin-Voigt model. The effective material properties of structure are considered based on mixture rule. The elastic medium is simulated by orthotropic visco-Pasternak medium. The motion equations are derived applying Sinusoidal shear deformation theory (SSDT) in which the size effects are considered using Eringen's nonlocal theory. The differential quadrature (DQ) method in conjunction with the Bolotin's methods is applied for calculating resonance frequency and dynamic instability region (DIR) of structure. The effects of different parameters such as volume percent of CNTs, distribution type of CNTs, temperature, nonlocal parameter and structural damping on the dynamic instability of visco-system are shown. The results are compared with other published works in the literature. Results indicate that the CNTs have an important role in dynamic stability of structure and FGX distribution type is the better choice.

Analytical wave dispersion modeling in advanced piezoelectric double-layered nanobeam systems

  • Ebrahimi, F.;Haghi, P.;Dabbagh, A.
    • Structural Engineering and Mechanics
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    • v.67 no.2
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    • pp.175-183
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    • 2018
  • This research deals with the wave dispersion analysis of functionally graded double-layered nanobeam systems (FG-DNBSs) considering the piezoelectric effect based on nonlocal strain gradient theory. The nanobeam is modeled via Euler-Bernoulli beam theory. Material properties are considered to change gradually along the nanobeams' thickness on the basis of the rule of mixture. By implementing a Hamiltonian approach, the Euler-Lagrange equations of piezoelectric FG-DNBSs are obtained. Furthermore, applying an analytical solution, the dispersion relations of smart FG-DNBSs are derived by solving an eigenvalue problem. The effects of various parameters such as nonlocality, length scale parameter, interlayer stiffness, applied electric voltage, relative motions and gradient index on the wave dispersion characteristics of nanoscale beam have been investigated. Also, validity of reported results is proven in the framework of a diagram showing the convergence of this model's curve with that of a previous published attempt.

Free vibration analysis of FG carbon nanotube reinforced composite plates using dynamic stiffness method

  • Shahabeddin Hatami;Mohammad Reza Bahrami
    • Steel and Composite Structures
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    • v.50 no.2
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    • pp.135-148
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    • 2024
  • This paper analytically investigates the free vibration analysis of functionally graded-carbon nanotube reinforced composite (FG-CNTRC) plates by dynamic stiffness method (DSM). The properties of CNTRC are determined with the extended rule of mixture. The governing differential equations of motion based on the first-order shear deformation theory of CNTRC plate are derived using Hamilton's principle. The FG-CNTRC plates are studied for a uniform and two different distributions of carbon nanotubes (CNTs). The accuracy and performance of the DSM are compared with the results obtained from closed closed-form and semi-analytical solution methods in previous studies. In this study, the effects of boundary condition, distribution type of CNTs, plate aspect ratio, plate length to thickness ratio, and different values of CNTs volume fraction on the natural frequencies of the FG-CNTRC plates are investigated. Finally, various natural frequencies of the plates in different conditions are provided as a benchmark for comparing the accuracy and precision of the other analytical and numerical methods.

An Adaptive Test for Ordered Interqartile Ranges among Several Distributions

  • Park, Chul-Gyu
    • Journal of the Korean Statistical Society
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    • v.30 no.1
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    • pp.63-76
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    • 2001
  • An adaptive estimation and testing method is proposed for comparing dispersions among several ordered groups. Based upon the large sampling theory for nonparametric quartile estimators, we derive the order restricted estimators and construct a simple test statistic. This test statistic has a mixture of several chi-square distributions as its asymptotic null distribution. The proposed test is illustratively applied to survival time data for the patients with carcinoma of the oropharynx.

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Prediction of Explosive Limits for Flammable Mixture Solution by Means of Solution Theory (용액론에 의한 가연성혼합용액의 폭발한계 예측)

  • 하동명
    • Proceedings of the Korean Institute of Industrial Safety Conference
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    • 1999.06a
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    • pp.69-72
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    • 1999
  • 공정상에서 화재 및 폭발위험을 최소화하기 위해서는 공정의 안전과 최적화조작이 이루워 져야 하는데, 우선 작업 조건하에서 취급물질의 연소특성치 파악이 필요하다. 화학공정에 있어서 설계의 요지는 공정모사 프로그램이다. 최근에는 공정모사 프로그램에 응용하기 위해 열역학적 물성치 데이터베이스 연구에 화재ㆍ폭발 특성치 연구가 활발히 진행되고 있다. 이는 공장을 건설하기 전에 안전성 평가가 이루어져야 하기 때문이다. (중략)

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Feature extraction method using graph Laplacian for LCD panel defect classification (LCD 패널 상의 불량 검출을 위한 스펙트럴 그래프 이론에 기반한 특성 추출 방법)

  • Kim, Gyu-Dong;Yoo, Suk-I.
    • Proceedings of the Korean Information Science Society Conference
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    • 2012.06b
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    • pp.522-524
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    • 2012
  • For exact classification of the defect, good feature selection and classifier is necessary. In this paper, various features such as brightness features, shape features and statistical features are stated and Bayes classifier using Gaussian mixture model is used as classifier. Also feature extraction method based on spectral graph theory is presented. Experimental result shows that feature extraction method using graph Laplacian result in better performance than the result using PCA.