• Title/Summary/Keyword: numerical radius

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Fundamental study on performance characteristics of a micro heat pipe with triangular cross section (삼각단면 극소히트파이프의 작동특성에 관한 기초 연구)

  • 문석환;김종오;김철주
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.2
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    • pp.176-184
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    • 1999
  • Numerical and experimental studies were performed to examine the characteristics of heat and mass transfer processes for a Micro Heat Pipe(MHP) with a triangular cross-section. Solutions on mass flow rate, pressure variation, and radius of meniscus were obtained using the mathematical model developed by Faghri and Khrustalev. To obtain an increase in capillary limitation, a triangular tube with curved walls was designed and fabricated. The measurement by microscope showed that the radius at corners of the tube was ranging between 0.03-0.05mm. Performance test for MHPs using the triangular tube with curved walls proved a substantial increasement in heat transport limitation, with 4.5W and 2.0W in case of using water and ethanol as a working fluid, respectively. In the previous study by Faghri a limitation of 0.5W was reported for a water MHP with a regular triangular tube.

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Analysis of Parameters Affecting on Durability of CID Filter using Numerical Method (수치적 접근을 통한 CID필터 형상이 내력에 미치는 영향 분석 연구)

  • Bui, V.H.;Kim, S.M.;Ku, T.W.;Kim, J.;Kang, B.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.05a
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    • pp.391-394
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    • 2008
  • Durability of product is an important technical parameter of a current interception device (CID) filter. This parameter is influenced by several factors, such as: environment condition, external force, shape of device, heat and so on. In this study, the effect of the geometry of the device on durability was carried out. The effect of shape on durability of device is presented by force-carrying capacity that a device can sustain a maximum external force. Studied parameters of the CID filter's geometry include clearance, thickness, and corner radius. Fracture criterion of Cockcroft and Latham was also used to predict the maximum force-carrying capacity of device.

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Numerical Analysis on the Characteristics of Temperature Distribution in an Active Regeneration DPF Type (강제 재생 방식 DPF 내부의 온도 분포 특성에 관한 수치해석)

  • Park, S.C.;Lee, H.S.
    • Journal of the Korean Society of Mechanical Technology
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    • v.13 no.2
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    • pp.55-61
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    • 2011
  • This study analyzed on the characteristics of temperature distribution in an active regeneration DPF using computer simulation. In order to verify the boundary condition of analysis, results of temperature distribution in DPF are compared between experimental and computer simulation. Using this boundary condition, temperature distribution and filter's durability in DPF analyzed according to various operating conditions. The results of computational analysis are agreed well with experimental ones from the tendency of temperature distribution of axis and radius direction. The temperature increases and the axial temperature gradients in DPF according to velocity of exhaust gas are lowered as the high velocity of exhaust gas. But the temperature gradients of radius direction at exit side in DPF are grown as the high velocity of exhaust gas. The results according to inlet temperature of exhaust gas show that the increase ratios of temperature in DPF are grown as the high temperature of exhaust gas.

IMPROVED LOCAL CONVERGENCE ANALYSIS FOR A THREE POINT METHOD OF CONVERGENCE ORDER 1.839

  • Argyros, Ioannis K.;Cho, Yeol Je;George, Santhosh
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.621-629
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    • 2019
  • In this paper, we present a local convergence analysis of a three point method with convergence order $1.839{\ldots}$ for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results.

Computer simulation for stability analysis of the viscoelastic annular plate with reinforced concrete face sheets

  • Zhang, Yonggang;Wang, Yonghong;Zhao, Yuanyuan
    • Computers and Concrete
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    • v.27 no.4
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    • pp.369-383
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    • 2021
  • This article deals with the frequency analysis of viscoelastic sandwich disk with graphene nano-platelets (GPLs) reinforced viscoelastic concrete (GPLRVC) face sheets and honeycomb core. The honeycomb core is made of aluminum due to its low weight and high stiffness. The rule of the mixture and modified Halpin-Tsai model are engaged to provide the effective material constant of the concrete. By employing Hamilton's principle, the governing equations of the structure are derived and solved with the aid of the Generalize Differential Quadrature Method (GDQM). In this paper, viscoelastic properties are modeled according to Kelvin-Voigt viscoelasticity. The deflection as the function of time can be solved by the fourth-order Runge-Kutta numerical method. Afterward, a parametric study is carried out to investigate the effects of the outer to inner radius ratio, hexagonal core angle, thickness to length ratio of the concrete, the weight fraction of GPLs into concrete, and the thickness of honeycomb core to inner radius ratio on the frequency of the viscoelastic sandwich disk with honeycomb core and FG-GPLRVC face sheet.

Analysis of cavity expansion and contraction in unsaturated residual soils

  • Lukosea, Alpha;Thiyyakkandi, Sudheesh
    • Geomechanics and Engineering
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    • v.28 no.4
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    • pp.405-419
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    • 2022
  • Cavity expansion and contraction solutions for cylindrical and spherical cavities in unsaturated residual soils are presented in this paper. Varying soil state in the plastic zone is accounted by a numerical approach, wherein an element-by-element discretization of the plastic zone of both expanding and contracting cavities is carried out. Unlike existing methods utilizing self-similarity technique, the solution procedure enables the prediction of entire soil-state at any stage of expansion and subsequent contraction. It is also applicable for both cavity creation and expansion problems. The approach adopts constant contribution of suction to effective stress (constant Xs drainage condition) for analysis. The analysis procedure is validated by interpreting the previously reported pressuremeter test results in lateritic residual soil. The typical cavity expansion and contraction characteristics of unsaturated Indian lateritic soil were then examined using this solution procedure. The effect of initial soil-state on cavity limit pressure, plastic radius, reverse yield pressure, and reverse plastic radius are also presented.

Sensitivity Analysis for Specifications of Silicon-on-Insulator (SOI) Slot Optical Waveguide-based Single and Add-drop Channel Ring-resonant Biochemical Integrated Optical Sensors (SOI 슬롯 광 도파로 기반 단일 및 삽입-분기 채널 링-공진형 바이오·케미컬 집적광학 센서의 제원에 대한 감도 해석)

  • Jang, Jaesik;Jung, Hongsik
    • Journal of Sensor Science and Technology
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    • v.31 no.2
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    • pp.107-114
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    • 2022
  • The effects of ring radius and coupling spacing on the free spectral range (FSR), full width at half maximum (FWHM), quality factor, and sensitivity of single-channel and add-drop channel slot ring resonators were systematically investigated using FIMMPROP and PICWAVE numerical software. The single-channel ring resonator exhibited better characteristics, namely, a wider FSR and narrower FWHM compared with the add-drop structure; thus, it was evaluated to be more suitable for biochemical sensors. The FSR, FWHM, quality factor, and sensitivity for a single channel ring resonator with a radius of 59.4 ㎛ and coupling gap of 0.5 ㎛ were 2.4 nm, 0.087 nm, 17677, and 550 [nm/RIU], respectively.

SINGLE STEP REAL-VALUED ITERATIVE METHOD FOR LINEAR SYSTEM OF EQUATIONS WITH COMPLEX SYMMETRIC MATRICES

  • JingJing Cui;ZhengGe Huang;BeiBei Li;XiaoFeng Xie
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1181-1199
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    • 2023
  • For solving complex symmetric positive definite linear systems, we propose a single step real-valued (SSR) iterative method, which does not involve the complex arithmetic. The upper bound on the spectral radius of the iteration matrix of the SSR method is given and its convergence properties are analyzed. In addition, the quasi-optimal parameter which minimizes the upper bound for the spectral radius of the proposed method is computed. Finally, numerical experiments are given to demonstrate the effectiveness and robustness of the propose methods.

A Study of Design for Hot Tool to Minimize Radius of Heat Affected Zone in Rapid Heat Ablation process (쾌속 열용삭 공정에서 열반경 최소화를 위한 열 공구 설계에 관한 연구)

  • Kim H.C.;Lee S.H.;Song M.S.;Yang D.Y.;Park S.K.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.743-748
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    • 2005
  • In order to realize a three-dimensional shape on CAD, the machining process has been widely used because it offers practical advantages such as precision and versatility. However, the traditional machining process needs a large amount of time in cutting a product and the remained material causes trouble such as inconvenience for clarity. Therefore, a new rapid manufacturing process using the hot tool, Rapid Heat Ablation process (RHA), has been developed. In this paper, the hot tool for RHA process is devised to minimize radius of heat affected zone and also investigated for verification. TRIZ well-known as creative problem solving method is applied to overcome the contradictive requirements of the hot tool. For the detailed design of the hot tool, numerical model is established with several assumptions. Based on the numerical results, surface temperature is measured with K-type thermocouple at the predetermined location. Numerical and experimental results show that the devised hot tool fulfils its requirements. It verifies the practicality of hot tool that the hemisphere shape is ablated using the hot tool with stair structure.

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Numerical study on the charateristics of fracture growth in fracture controlled blasting using notched blasthole (노치성형 발파공을 이용한 균열제어 발파방법의 균열발생 특성에 대한 수치해석적 고찰)

  • 백승규;김재동;임한욱;류창하
    • Tunnel and Underground Space
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    • v.9 no.1
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    • pp.64-71
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    • 1999
  • A numerical analysis was performed to investigate the effects of notched blasthole in controlling the fracture plane. Analyzed were elastic and elasto-plastic response of rock, and fracture propagation under static and dynamic load conditions. Results showed that the region exceeding the tensile strength extended up to three times the radius of a normal blasthole in elastic analysis, while fifteen times in elasto-plastic analysis. It was shown that a crack was driven from the notch tip up to the distance of 23 times the hole radius in the case of a notched blasthole with a notch of 5 mm in depth and 30 mm in length.

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