• Title/Summary/Keyword: similarity solution

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Laminar Convective Heat Transfer from a Horizontal Flat Plate of Phase Change Material Slurry Flow

  • Kim Myoung-Jun
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.7
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    • pp.779-784
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    • 2005
  • This paper presents the theory of similarity transformations applied to the momentum and energy equations for laminar, forced, external boundary layer flow over a horizontal flat plate which leads to a set of non-linear, ordinary differential equations of phase change material slurry(PCM Slurry). The momentum and energy equation set numerically to obtain the non-dimensional velocity and temperature profiles in a laminar boundary layer are solved. The heat transfer characteristics of PCM slurry was numerically investigated with similar method. It is clarified that the similar solution method of Newtonian fluid can be used reasonably this type of PCM slurry which has low concentration. The data of local wall heat flux and convective heat transfer coefficient of PCM slurry are higher than those of water more than 150$\~$200$\%$, approximately.

Theoretical Study on Acoustic Instability in Liquid Rocket Engine (액체 로켓 엔진의 음향 불안정 예측에 관한 이론적 연구)

  • Sohn, Chae-Hoon
    • 한국연소학회:학술대회논문집
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    • 2000.12a
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    • pp.92-100
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    • 2000
  • One method to analyse acoustic modes is proposed to predict the characteristics of acoustic instability in liquid rocket engine. It is based on the similarity between transverse acoustic modes and adopts two-dimensional axisymmetric geometry. Using this method, the first tangential mode in the prototype combustor can be analysed through the analysis of the first radial mode in the model combustor with doubled chamber diameter. Sample numerical calculation is demonstrated applying this method to sample rocket engine and thereby acoustic instabilities of the engine are investigated. The present results show a good agreement with the previous findings. The numerical analysis based on the proposed method is cost-effective and serves as the first approximation to the true solution.

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Perceptual Dimensions of Korean Vowel: A Link between Perception and Production (한국어 모음의 지각적 차원 -지각과 산출간의 연동-)

  • Choi, Yang-Gyu
    • Speech Sciences
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    • v.8 no.2
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    • pp.181-191
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    • 2001
  • The acoustic quality of a vowel is known to be mostly determined by the frequencies of the first formant(Fl) and the second formant(F2). The perceptual(or psychological) dimensions of vowel perception were examined in this study. Also the relationships among perceptual dimensions, acoustical dimensions(Fl & F2), and articulatory gestures of vowel were discussed. Using multi-dimensional scaling(MDS) technique, the experiment was performed in order to identify the perceptual dimensions of the perception of Korean vowel. In the experiment 8 Seoul standard speakers performed the similarity rating task of 10 synthesized Korean vowels. Two-dimensional MDS solution based. on the similarity rating scores was obtained. The results showed that two perceptual dimensions, D1 and D2 were correlated strongly with F2 and F1(r = -.895 and .878 respectively), and were so interpreted as 'vowel advancement' and 'vowel height' respectively. The relationship between the perceptual dimensions of vowel and the articulatory positions of tongue suggested that perception may be directly linked to production. Further research problems were discussed in the .final section.

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AXISYMMETRIC STAGNATION FLOW NEAR A PLANE WALL COATED WITH A MAGNETIC FLUID OF UNIFORM THICKNESS (균일 두께로 자성유체가 피막된 평면 벽 주의의 축대칭 정체 유동)

  • Ko, Hyung-Jong;Kim, Kyoung-Hoon;Kim, Se-Woong
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.39-44
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    • 2007
  • A similarity solution of the Navier-Stokes equation for the axisymmetric stagnation flow near a plane wall coated with a magnetic fluid of uniform thickness is constructed. The shape functions representing the flow in two (magnetic and normal) fluid layer are determined from a third order boundary value problem, which is solved by the Runge-Kutta method with two shooting parameters. Features of the flow including streamline pattern and interface velocity are investigated for the varying values of density ratio, viscosity ratio, and Reynolds number. The results for the interface and wall shear stress, boundary layer and displacement thickness are also presented.

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THE SPACE-TIME FRACTIONAL DIFFUSION EQUATION WITH CAPUTO DERIVATIVES

  • HUANG F.;LIU F.
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.179-190
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    • 2005
  • We deal with the Cauchy problem for the space-time fractional diffusion equation, which is obtained from standard diffusion equation by replacing the second-order space derivative with a Caputo (or Riemann-Liouville) derivative of order ${\beta}{\in}$ (0, 2] and the first-order time derivative with Caputo derivative of order ${\beta}{\in}$ (0, 1]. The fundamental solution (Green function) for the Cauchy problem is investigated with respect to its scaling and similarity properties, starting from its Fourier-Laplace representation. We derive explicit expression of the Green function. The Green function also can be interpreted as a spatial probability density function evolving in time. We further explain the similarity property by discussing the scale-invariance of the space-time fractional diffusion equation.

SYMMETRY REDUCTIONS, VARIABLE TRANSFORMATIONS AND EXACT SOLUTIONS TO THE SECOND-ORDER PDES

  • Liu, Hanze;Liu, Lei
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.563-572
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    • 2011
  • In this paper, the Lie symmetry analysis is performed on the three mixed second-order PDEs, which arise in fluid dynamics, nonlinear wave theory and plasma physics, etc. The symmetries and similarity reductions of the equations are obtained, and the exact solutions to the equations are investigated by the dynamical system and power series methods. Then, the exact solutions to the general types of PDEs are considered through a variable transformation. At last, the symmetry and integration method is employed for reducing the nonlinear ODEs.

Market Approach to Valuation Based on Technology Transfer Cases in Korea

  • Kim, Sang-Gook;Lee, Hyun;Park, Hyun-Woo
    • Asian Journal of Innovation and Policy
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    • v.2 no.1
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    • pp.97-122
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    • 2013
  • This study secured comparable sales transaction information of technology transfer corresponding to an active market conditions and proposes a method to assess the similarity of technologies with regard to comparability of technology transfer based on these cases information. In order to analyze the association and similarity between target technology and sales transactions, it proposes the significant factors affecting royalty decision and the cosine coefficient method by industry categories. It also proposes the method to adjust royalty, which means that this method unlike the conventional method provides clear standards to valuators in order to revise royalty. Therefore, it offers a solution to the difficulties of applying the market approach for a lot of valuators that have wanted to apply it and objective method to enhance the reliability of the value of intangible asset evaluated by the market approach.

Clustering Parts Based on the Design and Manufacturing Similarities Using a Genetic Algorithm

  • Lee, Sung-Youl
    • Journal of Korea Society of Industrial Information Systems
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    • v.16 no.4
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    • pp.119-125
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    • 2011
  • The part family (PF) formation in a cellular manufacturing has been a key issue for the successful implementation of Group Technology (GT). Basically, a part has two different attributes; i.e., design and manufacturing. The respective similarity in both attributes is often conflicting each other. However, the two attributes should be taken into account appropriately in order for the PF to maximize the benefits of the GT implementation. This paper proposes a clustering algorithm which considers the two attributes simultaneously based on pareto optimal theory. The similarity in each attribute can be represented as two individual objective functions. Then, the resulting two objective functions are properly combined into a pareto fitness function which assigns a single fitness value to each solution based on the two objective functions. A GA is used to find the pareto optimal set of solutions based on the fitness function. A set of hypothetical parts are grouped using the proposed system. The results show that the proposed system is very promising in clustering with multiple objectives.

A Numerical Study on Combined Solution and Evaporation during Spin Coating Process (Wafer Spin Coating 공정에서 증발과 용액이 박막 형성에 미치는 영향에 관한 연구)

  • 노영미;임익태;김광선
    • Journal of the Semiconductor & Display Technology
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    • v.2 no.1
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    • pp.25-29
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    • 2003
  • The fluid flow, mass transfer, heat transfer and film thickness variation during the spin coating process are numerically studied. The model is said to be I-dimensional because radial variations in film thickness, concentration and temperature are ignored. The finite difference method is employed to solve the equations that are simplified using the similarity transformation. In early time, the film thinning is due to the radial convective outflow. However that slows during the first seconds of spinning so the film thinning due to evaporation of solvent becomes sole. The time varing film thickness is analyzed according to the wafer spin speed, the various solvent fraction in the coating liquid, and the various solvent vapor fraction in the bulk of the overlying gas during the spin coating is estimated.

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Strength prediction of steady laminar fluid with normal velocity distribution: A simplified truncation technique

  • Mohamed A. Khadimallah;Muzamal Hussain;Elimam Ali;Abdelouahed Tounsi
    • Advances in concrete construction
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    • v.15 no.5
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    • pp.313-319
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    • 2023
  • In this paper, the analytic solution has been found by using truncation approach. With the help of suitable substitution, different physical parameters are yielded in their non-dimensional form. The governing boundary layer partial differential equations are reduced to a set of ordinary ones by using appropriate similarity transformations. The velocity profile across the domain have also been taken into account. The effect normal velocity profiles buoyancy parameter, slip parameter, shrinking parameter, Casson fluid parameter on the heat profile. It is found that the normal velocity profiles rise with the buoyancy parameter and for the slip parameter. It is observed that the normal velocity profile decreases with the increase of shrinking parameter. The reverse behiour is found for the Casson fluid parameter. The results are numerically computed, analyzed and discussed. For the efficiency of present model, the results are compared with earlier investigations.