• Title/Summary/Keyword: associated curve

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Large Eddy Simulation of the Dynamic Response of an Inducer to Flow Rate Fluctuations

  • Kang, Dong-Hyuk;Yonezawa, Koichi;Ueda, Tatsuya;Yamanishi, Nobuhiro;Kato, Chisachi;Tsujimoto, Yoshinobu
    • International Journal of Fluid Machinery and Systems
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    • v.2 no.4
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    • pp.431-438
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    • 2009
  • A Large Eddy Simulation (LES) of the flow in an inducer is carried out under flow rate oscillations. The present study focuses on the dynamic response of the backflow and the unsteady pressure performance to the flow rate fluctuations under non-cavitation conditions. The amplitude of angular momentum fluctuation evaluated by LES is larger than that evaluated by RANS. However, the phase delay of backflow is nearly the same as RANS calculation. The pressure performance curve exhibits a closed curve caused by the inertia effect associated with the flow rate fluctuations. Compared with simplified one dimensional evaluation of the inertia component, the component obtained by LES is smaller. The negative slope of averaged performance curve becomes larger under unsteady conditions. From the conservations of angular momentum and energy, an expression useful for the evaluation of unsteady pressure rise was obtained. The examination of each term of this expression show that the apparent decrease of inertia effects is caused by the response delay of Euler's head and that the increase of negative slope is caused by the delay of inertial term associated with the delay of backflow response. These results are qualitatively confirmed by experiments.

Prediction of Critical Reynolds Number in Stability Curve of Liquid Jet ( I )

  • No, S.Y.;Ryu, K.Y.;Rhim, J.H.;Lim, S.B.
    • Journal of ILASS-Korea
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    • v.4 no.1
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    • pp.55-61
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    • 1999
  • The first maximum point in the stability curve of liquid jet, i.e., the critical point is associated with the critical Reynolds number. This critical Reynolds number should be predicted by simple means. In this work, the critical Reynolds number in the stability curve of liquid jet are predicted using the empirical correlations and the experimental data reported in the literatures. The critical Reynolds number was found to be a function of the Ohnesorge number, nozzle lengh-to-diameter ratio, ambient Weber number and nozzle inlet type. An empirical correlation for the critical Reynolds number as a function of the Ohnesorge number and nozzle length-to-diameter ratio is newly proposed here. Although an empirical correlation proposed in this work may not be universal because of excluding the effects of ambient pressure and nozzle inlet type, it has reasonably agrees with the measured critical Reynolds number.

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Prediction of Stress-strain Behavior for Anisotropic Consolidated Compacted Decomposed Granite Soil (비등방 압밀된 다짐화강풍화토의 응력-변형률 거동 예측)

  • 정진섭;양재혁
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.45 no.2
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    • pp.86-95
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    • 2003
  • During this study, constant stress ratio tests with previous compression anisotropic stress history are performed on compacted decomposed granite soil sampled at Iksan, Jeonbuk. Yielding points are determined from stress-strain curves. The shape and characteristics of compression anisotropic yield curves is examined. In addition, the measured value of yielding curve and stress-strain behavior is predicted by Yasufuku's anisotropic constitutive model based on non-associated flow rule. The main results are summarized as follows : 1) Shape of yielding curves shows almost ellipse but asymmetry with respect to stress path during previous consolidation stress. 2) Yasufuku's anisotropic constitutive model is suitable in evaluation of yielding curves on anisotropic consolidated decomposed granite soil. 3) The predicted stress-strain curve shows reasonable agreement to measured behaviours.

Influence of softening curves on the residual fracture toughness of post-fire normal-strength concrete

  • Yu, Kequan;Lu, Zhoudao
    • Computers and Concrete
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    • v.15 no.2
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    • pp.199-213
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    • 2015
  • The residual fracture toughness of post-fire normal-strength concrete subjected up to $600^{\circ}C$ is considered by the wedge splitting test. The initial fracture toughness $K_I^{ini}$ and the critical fracture toughness $K_I^{un}$ could be calculated experimentally. Their difference is donated as the cohesive fracture toughness $K_I^c$ which is caused by the distribution of cohesive stress on the fracture process zone. A comparative study on determining the residual fracture toughness associated with three bi-linear functions of the cohesive stress distribution, i.e. Peterson's softening curve, CEB-FIP Model 1990 softening curve and Xu's softening curve, using an analytical method is presented. It shows that different softening curves have no significant influence on the fracture toughness. Meanwhile, comparisons between the experimental and the analytical calculated critical fracture toughness values further prove the validation of the double-K fracture model to the post-fire concrete specimens.

The Storage Method of a Leaf Tobacco Warehouse in Leaf Tobacco Factory (원료공장 잎담배 창고의 저장방법)

  • Han-Joo Chung;Byong-Kwon Jeh;Yong-Ok Kim
    • Journal of the Korean Society of Tobacco Science
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    • v.25 no.1
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    • pp.53-58
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    • 2003
  • This study deals with the leaf tobacco assignment problem of a leaf tobacco warehouse with multiple input points and single output point. Also, the number of storage frequences is not necessary the same as that of retrieval for each leaf tobacco. A mathematical model is developed with the objective of minimizing the total travel distance associated with storage and retrieval operations. We also develop several heuristics based on the retrieval order frequency, retrieval/storage frequency ratio of leaf tobacco, and ABC curve. It is observed that the ABC curve based heuristic gives the best solution which is near optimal. Based on the test results from real world data, the ABC curve based heuristic is found to give a best performance. Comparing to current assignment method, the ABC curve based heuristic reduced total travel distance about 17.2%.

A study on the parameters to enhance derailment safety (탈선 안전성능 향상을 위한 매개변수에 관한 연구)

  • Hwang, Jeong-Taek;Lee, Hi-Sung
    • Journal of the Korean Society for Railway
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    • v.10 no.5
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    • pp.626-631
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    • 2007
  • Technical requirements associated with derailment to ensure running safety of train are discussed. By using estimated derailment coefficient ratio, interaction of various parameters such as operation velocity, curve radius, cant, track irregularity, suspension stiffness and static wheel load ratio are analyzed to enhance derailment safety. Sensitivity analysis in terms of pattern and passage speed of curve is performed by using rolling stock and track conditions associated with SMRT Line No. 5.

AREA OF TRIANGLES ASSOCIATED WITH A CURVE

  • Kim, Dong-Soo;Shim, Kyu-Chul
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.901-909
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    • 2014
  • It is well known that the area U of the triangle formed by three tangents to a parabola X is half of the area T of the triangle formed by joining their points of contact. In this article, we study some properties of U and T for strictly convex plane curves. As a result, we establish a characterization for parabolas.

A Study on the Spherical Indicatrix of a Space Curve in $E^3$

  • Chung, Sang Kie
    • The Mathematical Education
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    • v.20 no.3
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    • pp.23-26
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    • 1982
  • Many interesting properties of a space curve C in E$^3$ may be investigated by means of the concept of spherical indicatrix of tangent, principal normal, or binormal, to C. The purpose of the present paper is to derive the representations of the Frenet frame field., curvature, and torsion of spherical indicatrix to C in terms of the quantities associated with C. Furthermore, several interesting properties of spherical indicatrix are found in the present paper.

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PARTIAL SUMS AND INCLUSION RELATIONS FOR STARLIKE FUNCTIONS ASSOCIATED WITH AN EVOLUTE OF A NEPHROID CURVE

  • Gurpreet Kaur ;Sumit Nagpal
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1477-1496
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    • 2023
  • A class of normalized univalent functions f defined in an open unit disk of the complex plane is introduced and studied such that the values of the quantity zf'(z)/f(z) lies inside the evolute of a nephroid curve. The inclusion relations of the newly defined class with other subclasses of starlike functions and radius problems concerning the second partial sums are investigated. All the obtained results are sharp.

The Change After Visual Training of Forced Vergence Fixation Disparity Curve (강제vergence 주시시차곡선의 시기능훈련 후의 변화)

  • Choi, Sun-Mi;Lee, Ki-Young;Park, Hyun-Ju
    • Journal of Korean Ophthalmic Optics Society
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    • v.19 no.4
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    • pp.539-550
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    • 2014
  • Purpose: This research was designed to figure out if there are changes based on types of vergence fixation disparity curve after optical correction and vision training to for people with steep slope of forced vergence fixation disparity curve and symptoms. Methods: For 30 subjects out of 91 subjects, who have steep slopes of fixation disparity curve examined with Wesson Fixation Disparity Card and symptoms about steep slope of fixation disparity curve, proper vision training was offered for 5 weeks. Results: After Vision training for 30 people with the symptoms of type I, II, III, IV for 5 weeks, slope of fixation disparity curve was significantly changed (p=0.013), and the results of binocular vision test and subjective symptoms were also significantly improved. Conclusions: Vision training can not only affect the change of fixation disparity curve, but also relieve the symptoms. Fixation disparity curve has lots of visual function information of the subject and can be suggested as a guideline for prescribing.