• Title/Summary/Keyword: Dimensional constants

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Macroscopic and microscopic mass transfer in silicon czochralski method

  • Kakimoto, Koichi
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.9 no.4
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    • pp.381-383
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    • 1999
  • First topic of this paper aims to clarify how oxygen and heat transfer in silicon melt under cusp-shaped magnetic fields. We obtained asymmetric temperature distribution by using time dependent and three-dimensional calculation. Second topic is study on molecular dynamics simulation, which was carried out to estimate diffusion constants of oxygen in silicon melt.

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Development of new agrochemicals by qnantitative structure-activity relationship (QSAR) methodology. II. The linear free energy relationship (LFER) and descriptors (정량적인 구조-활성상관(QSAR) 기법에 의한 새로운 농약의 개발 II. 자유에너지 직선관계(LFER)와 설명인자들)

  • Sung, Nack-Do
    • The Korean Journal of Pesticide Science
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    • v.6 no.4
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    • pp.231-243
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    • 2002
  • Starting with linear free energy relationships (LFER), drug design to mimic of the activated complexes at transition state, and hydrolysis mechanisms to control the potency and residual properties of pesticides were introduced and summarized for the necessity. In order to understand the searching or development of new agrochemicals by two dimensional quantitative structure-activity relationship (2D QSAR) methodology, a series of the various descriptors, steric constants, electronic constants including quantum pharmacological parameters and hydrophobic constants were classified and discussed for results of the several studied cases. In addition, the processes of development of new agrochemicals by QSAR techniques were introduced simply.

The influence of the initial stresses on Lamb wave dispersion in pre-stressed PZT/Metal/PZT sandwich plates

  • Kurt, Ilkay;Akbarov, Surkay D.;Sezer, Semih
    • Structural Engineering and Mechanics
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    • v.58 no.2
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    • pp.347-378
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    • 2016
  • Within the scope of the plane-strain state, by utilizing the three-dimensional linearized theory of elastic waves in initially stressed piezoelectric and elastic materials, Lamb wave propagation and the influence of the initial stresses on this propagation in a sandwich plate with pre-stressed piezoelectric face and pre-stressed metal elastic core layers are investigated. Dispersion equations are derived for the extensional and flexural Lamb waves and, as a result of numerical solution to these equations, the corresponding dispersion curves for the first (fundamental) and second modes are constructed. Concrete numerical results are obtained for the cases where the face layers' materials are PZT-2 or PZT-6B, but the material of the middle layer is Steel (St) or Aluminum (Al). Sandwich plates PZT-2/St/PZT-2, PZT-2/Al/PZT-2, PZT-6B/St/PZT-6B and PZT-6B/Al/PZT-6B are examined and the influence of the problem parameters such as piezoelectric and dielectric constants, layer thickness ratios and third order elastic constants of the St and Al on the effects of the initial stresses on the wave propagation velocity is studied.

Robust inverse identification of piezoelectric and dielectric effective behaviors of a bonded patch to a composite plate

  • Benjeddou, Ayech;Hamdi, Mohsen;Ghanmi, Samir
    • Smart Structures and Systems
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    • v.12 no.5
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    • pp.523-545
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    • 2013
  • Piezoelectric and dielectric behaviors of a piezoceramic patch adhesively centered on a carbon composite plate are identified using a robust multi-objective optimization procedure. For this purpose, the patch piezoelectric stress coupling and blocked dielectric constants are automatically evaluated for a wide frequency range and for the different identifiable behaviors. Latters' symmetry conditions are coded in the design plans serving for response surface methodology-based sensitivity analysis and meta-modeling. The identified constants result from the measured and computed open-circuit frequencies deviations minimization by a genetic algorithm that uses meta-model estimated frequencies. Present investigations show that the bonded piezoceramic patch has effective three-dimensional (3D) orthotropic piezoelectric and dielectric behaviors. Besides, the sensitivity analysis indicates that four constants, from eight, dominate the 3D orthotropic behavior, and that the analyses can be reduced to the electromechanically coupled modes only; therefore, in this case, and if only the dominated parameters are optimized while the others keep their nominal values, the resulting piezoelectric and dielectric behaviors are found to be transverse-isotropic. These results can help designing piezoceramics smart composites for various applications like noise, vibration, shape, and health control.

Design Criterion for the Size of Micro-scale Pt-catalytic Combustor in Respect of Heat Release Rate (열 방출률에 대한 마이크로 백금 촉매 연소기의 치수 설계 기준)

  • Lee, Gwang Goo;Suzuki, Yuji
    • Journal of the Korean Society of Combustion
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    • v.19 no.4
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    • pp.49-55
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    • 2014
  • Design criterion for the size of micro Pt-catalytic combustor is investigated in terms of heat release rate. One-dimensional plug flow model is applied to determine the surface reaction constants using the experimental data at stoichiometric butane-air mixture. With these reaction constants, the mass fraction of butane and heat release rate predicted by the plug flow model are in good agreement with the experimental data at the combustor exit. The relationship between the size of micro catalytic combustor and mixture flowrate is introduced in the form of product of two terms-the effect of fuel conversion efficiency, and the effect of chemical reaction rate and mass transfer rate.

PLANK PROBLEMS, POLARIZATION AND CHEBYSHEV CONSTANTS

  • Revesz, Szilard-Gy.;Sarantopoulos, Yannis
    • Journal of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.157-174
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    • 2004
  • In this work we discuss "plank problems" for complex Banach spaces and in particular for the classical $L^{p}(\mu)$ spaces. In the case $1\;{\leq}\;p\;{\leq}\;2$ we obtain optimal results and for finite dimensional complex Banach spaces, in a special case, we have improved an early result by K. Ball [3]. By using these results, in some cases we are able to find best possible lower bounds for the norms of homogeneous polynomials which are products of linear forms. In particular, we give an estimate in the case of a real Hilbert space which seems to be a difficult problem. We have also obtained some results on the so-called n-th (linear) polarization constant of a Banach space which is an isometric property of the space. Finally, known polynomial inequalities have been derived as simple consequences of various results related to plank problems.

A Study on the Synthesis of TE and TM Scattering Patterns of One-Dimensional Inhomogeneous Dielectric Media (일차원 비균질 유전매질의 TE 및 TM 산란패턴 합성에 관한 연구)

  • Nam, June-Seok;Jun, Sang-Jae;Jeon, Hoo-Dong;Jung, Jun-Sik;Park, Eui-Joon
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2003.11a
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    • pp.69-73
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    • 2003
  • In this paper, a synthesis method for the desired scattering pattern is presented when illuminating by TE-polarized and TM-polarized plane waves to arbitrary dielectric material. It is considered that the one-dimensional dielectric media are inhomogeneously distributed with continuously varying dielectric constants. Accordingly the desired patterns and the corresponding source distributions are inversely transformed by the proposed algorithm which are based on the one-dimensional inverse scattering problem. Some bandstop spatial filter are illustrated for applications.

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THE ($\frac{G'}{G}$)- EXPANSION METHOD COMBINED WITH THE RICCATI EQUATION FOR FINDING EXACT SOLUTIONS OF NONLINEAR PDES

  • Zayed, E.M.E.
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.351-367
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    • 2011
  • In this article, we construct exact traveling wave solutions for nonlinear PDEs in mathematical physics via the (1+1)- dimensional combined Korteweg- de Vries and modified Korteweg- de Vries (KdV-mKdV) equation, the (1+1)- dimensional compouned Korteweg- de Vries Burgers (KdVB) equation, the (2+1)- dimensional cubic Klien- Gordon (cKG) equation, the Generalized Zakharov- Kuznetsov- Bonjanmin- Bona Mahony (GZK-BBM) equation and the modified Korteweg- de Vries - Zakharov- Kuznetsov (mKdV-ZK) equation, by using the (($\frac{G'}{G}$) -expansion method combined with the Riccati equation, where G = $G({\xi})$ satisfies the Riccati equation $G'({\xi})=A+BG^2$ and A, B are arbitrary constants.

A STUDY FOR DEVELOPMENT OF FILM NEGATIVE IN BULK REACTION CASE

  • Ha, Sung-N.;Park, Jung-Joon
    • Journal of applied mathematics & informatics
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    • v.26 no.1_2
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    • pp.365-374
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    • 2008
  • We study a mathematical modeling for development of film negative and concentrate the bulk reaction problem. We prove nonnegativeness of developer, coupler and dye function in two dimensional case. Also we prove stability of our numerical scheme. Finally, we discuss numerical example which have specified constants.

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POLYNOMIAL GROWTH HARMONIC MAPS ON COMPLETE RIEMANNIAN MANIFOLDS

  • Lee, Yong-Hah
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.3
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    • pp.521-540
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    • 2004
  • In this paper, we give a sharp estimate on the cardinality of the set generating the convex hull containing the image of harmonic maps with polynomial growth rate on a certain class of manifolds into a Cartan-Hadamard manifold with sectional curvature bounded by two negative constants. We also describe the asymptotic behavior of harmonic maps on a complete Riemannian manifold into a regular ball in terms of massive subsets, in the case when the space of bounded harmonic functions on the manifold is finite dimensional.