• Title/Summary/Keyword: Inner length

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HARDY-LITTLEWOOD PROPERTY WITH THE INNER LENGTH METRIC

  • Kim, Ki-Won
    • Communications of the Korean Mathematical Society
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    • v.19 no.1
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    • pp.53-62
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    • 2004
  • A result of Hardy and Littlewood relates Holder continuity of analytic functions in the unit disk with a bound on the derivative. Gehring and Martio extended this result to the class of uniform domains. We call it the Hardy-Littlewood property. Langmeyer further extended their result to the class of John disks in terms of the inner length metric. We call it the Hardy-Littlewood property with the inner length metric. In this paper we give several properties of a domain which satisfies the Hardy-Littlewood property with the inner length metric. Also we show some results on the Holder continuity of conjugate harmonic functions in various domains.

Natural convection heat transfer in a horizontal annulus from an inner tube with two vertical fins (2개의 수직휜이 부착된 내관으로부터 환상공간내의 자연대류 열전달)

  • 정태현;정한식;권순석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.654-660
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    • 1991
  • Natural convection heat transfer in a horizontal annulus from an inner tube with two vertical fins has been studied for the effects of dimensionless fin length and Rayleigh number. The maximum local Nusselt number of inner tube was obtained at .theta. = 145.deg. and that of outer cylinder at .theta. = 0.deg. for the case of $l_{F}$=0.3 Local Nusselt number distributions for the lower fins show higher values than that of the upper fins. The mean Nusselt number of inner tube was increased with the values of dimensionless fin length. The mean Nusselt number can be represented in an exponential function of Grashof number at various fin lengths. As compared with experimental and numerical results, isotherms and local Nusselt number show good agreement.t.

Effects of Inner Jet Injection on Particle Deposition in the Annular Modified Chemical Vapor Deposition Process Using Concentric Tubes (환상형원관을 사용하는 수정된 화학증착(MCVD)방법에서 내부 제트분사가 입자부착에 미치는 영향)

  • 최만수;박경순
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.1
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    • pp.212-222
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    • 1994
  • In the annular Modified Chemical Vapor Deposition process using two concentric tubes, the inner tube is heated to maintain high temperature gradients to have high thermophoretic force which can increase particle deposition efficiency. However, higher axial velocity in a narrow gap between inner and outer tubes can result in a longer tapered entry length. In the present paper, a new concept using an annular jet from the inner tube is presented and shown to significantly reduce the tapered entry length with maintaining high efficiency. Effects of a jet injection on heat transfer, fluid flow and particle deposition have been studied. Of particular interests are the effects of jet velocity, jet location and temperature on the deposition efficiency and tapered length . Torch heating effects from both the previous and present passes are included and the effect of surface radiation between inner and outer tubes is also considered.

A Study on Critical Heat Elux Characteristics in a Two-Phase Concentric-Tube Thermosyphon (2중관형 2상 열사이폰의 한계열유속 특성에 관한 연구)

  • Kim, Wook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.10
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    • pp.1419-1426
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    • 2002
  • An experimental study was made to elucidate critical heat flux(CHF) characteristics in a two-phase concentric-tube thermosyphon. The experiment was performed by using saturated water, over the experimental range of configuration: inner diameter of heated outer tube D=12mm, outer diameter of unheated inner tube do=3 to 10mm and heated tube length L=100 to 1000mm. The experiment shows that the CHF is enhanced with increase in the inner tube diameter, and that the CHF decreases beyond a certain diameter of the inner tube. There is an optimum diameter for inner tube that maximizes the CHF, for each tube length and test liquid. The CHF maximum is about two to eight times as large as that without an inner tube. For a large inner tube, the CHF characteristics is similar to that for natural convective boiling in a vertical annular tube.

Design of An Open-Ended Coaxial Cavity Resonator (한쪽 면이 열린 동축 공동 공진기의 설계에 대한 연구)

  • Lee, Yun-Min;Kim, Jin-Kook;Hur, Jung
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.13 no.4
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    • pp.201-208
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    • 2013
  • This paper is a study of an empirical design of an open-ended coaxial cavity resonator. It can be done by using the radius of the inner conductor, the inner radius and the length of the resonator. However, the basic coaxial transmission -line theory can be seen that the characteristics of the resonant frequency and the Q value are varied by the change of length, regardless of the value of radius of the inner conductor and inner radius of the resonator. We find out the impact of radius of the inner conductor, inner radius of the resonator and the length of the resonator parameter and propose the optimized empirical resonator design method by reducing the error between the theoretical value and the design value. Based on the simulation, several resonators are fabricated by the size of 14 mm for the radius of inner conductor, 2 mm, 5 mm, 10 mm respectively for the inner radius of resonator, and 8.5 mm for the length of the resonator. The resonant frequencies of the produced resonators were measured at 6.1, 5.7, 6.5 GHz respectively. According to the result of simulation and measurement, we know that we can design the relatively exact open-ended coaxial cavity resonator by applying the basic coaxial transmission-line theory directly when the length of the resonator is less than 10 mm, and adding the correction factor of 0.5 GHz to the calculated resonant frequency in case of more than 10 mm of the length of the resonator.

Optimization of an Annular Fin with a Pipe of Variable Inner Radius for Fixed Fin Volume (고정된 휜 체적에 기준한 원관 내부반경이 변하는 환형 휜의 최적화)

  • Kang, Hyung-Suk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.3
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    • pp.229-235
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    • 2010
  • Optimum values of fin performance and dimensions for an annular fin with a rectangular profile and a pipe with variable inner radius are determined by using a variable separation method. The range of ambient convection characteristic number that results in optimum heat loss is listed. The optimum heat loss, corresponding optimum fin effectiveness, fin length, and fin height are presented as a function of the inner radius of the pipe, inner fluid convection characteristic number, fin volume, and ambient convection characteristic number. One of the results shows that the optimum heat loss, fin effectiveness and fin length increase linearly with the inner radius of the pipe when both the fin volume and fin-base radius are fixed.

Estimates of Genetic Parameters and Genetic Trends for Production Traits of Inner Mongolian White Cashmere Goat

  • Bai, Junyan;Zhang, Qin;Li, Jinquan;Dao, Er-Ji;Jia, Xiaoping
    • Asian-Australasian Journal of Animal Sciences
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    • v.19 no.1
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    • pp.13-18
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    • 2006
  • Two different animal models, which differ in whether or not taking maternal genetic effect into account, for estimating genetic parameters of cashmere weight, live body weight, cashmere thickness, staple length, fiber diameter, and fiber length in Inner Mongolia White Cashmere Goat were compared via likelihood ratio test. The results indicate that maternal genetic effect has significant influence on live body weight and cashmere thickness, but no significant influence on the other traits. Using models suitable for each trait, both genetic parameters and trends were analyzed with the MTDFREML program. Heritability estimates from single trait models for cashmere weight, live body weight, cashmere thickness, staple length, fiber diameter and fiber length were found to be 0.30, 0.07, 0.21, 0.29, 0.28 and 0.21, respectively. Genetic correlation estimates from two-trait models between live body weight and all other traits (-0.06~0.07) was negligible, as were those between fiber diameter and all other traits (-0.01~0.03) except cashmere thickness (0.19). Cashmere weight and staple length had moderate to low genetic correlations with other traits (-0.24~0.39 and -0.24~0.34, respectively) except for live body weight and fiber diameter. Cashmere thickness had a strong genetic correlation with fiber length (0.81), and low genetic correlation with other traits (0.19~0.34) except live body weight. Genetic trend analysis suggests that selection for cashmere weight was very effective, which has led to the slow genetic progress of cashmere thickness and fiber length due to their genetic correlations with cashmere weight. The selection for live body weight was not effective, which was consistent with its low inheritability.

Effect of the Polymorphisms of Keratin Associated Protein 8.2 Gene on Fibre Traits in Inner Mongolia Cashmere Goats

  • Liu, Haiying;Li, Ning;Jia, Cunling;Zhu, Xiaoping;Jia, Zhihai
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.6
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    • pp.821-826
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    • 2007
  • The aim of the experiment was to detect polymorphisms in the keratin-associated protein 8.2 (KAP8.2) gene to determine associations between the genotype and fibre traits in Chinese Inner Mongolia cashmere goats. The fibre traits data investigated were cashmere fibre diameter, combed cashmere weight, cashmere fibre length and guard hair length. Five hundred and forty-two animals were used to detect polymorphisms in the complete coding sequence of the hircine KAP8.2 gene by means of PCR-SSCP. The results identified six genotypes, AA, BB, DD, AB, AD and BD, coded for by three different alleles A, B and D. Two SNPs in the coding region were confirmed by sequencing, which were A214G and T218C respectively. The relationships between the genotypes and cashmere fibre diameter, combed cashmere weight, cashmere fibre length and guard hair length were analyzed. There were significant differences (p<0.01) between the associations of the different genotypes with cashmere fibre diameter, cashmere weight and hair length. Cashmere length was the only trait that was not associated with the genotypes. The genotype AA (0.73) was found to be predominant in Inner Mongolia cashmere goats and the animals with this genotype had the thinnest cashmere fibre diameter compared with the other genotypes. These results suggested that polymorphisms in the hircine KAP8.2 gene may be a potential molecular marker for cashmere fibre diameter in cashmere goats.

A novel vertical directional coupler with polarization independent very short coupling lengths (편광에 무관한 매우 짧은 결합 길이를 가지는 새로운 수직 방향성 결합기)

  • 정병민;김부균
    • Korean Journal of Optics and Photonics
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    • v.14 no.4
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    • pp.359-364
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    • 2003
  • We propose a novel vertical directional coupler with polarization independent very short coupling lengths using the double-sided deep-ridge waveguide structure which could be implemented using double-sided process to polarization insensitive deep-ridge waveguide structures and investigate the effect of various structure parameters on the coupling length. Variation of coupling length for the variation of the waveguide width is smaller than that for the variation of the core thickness. Coupling length decreases as the inner cladding layer thickness and the core thickness decrease. The waveguide width with the polarization independent coupling length decreases as the inner cladding layer thickness decreases for the same core thickness and the core thickness decreases for the same inner cladding layer thickness.

Errors in One-Dimensional Heat Transfer Analysis in a Hollow Cylinder Feedwater Pipe (속이 빈 원관에서 1차원적인 열전달 해석의 오차)

  • Gang, Hyeong-Seok
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.2
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    • pp.689-696
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    • 1996
  • A comparison is made of the heat loss from a hollow cylinder, computed using an one-dimensional analytic method and a two-dimensional separation of variables scheme. For a two-dimensional analysis, the temperature of the inner surface as a boundary condition can be varied along the length of the cylinder by varing the temperature variation factor, b. Comparisons of the heat loss from the hollow cylinder using these two methods are given as a function of non-dimensional cylinder length, the ratio of the outer radius to the inner radius, temperature variation factor and Biot number. The result shows that the value of the heat loss from the hollow cylinder obtained using the one-dimensional analytic method becomes close to the value given by the two-dimensional separation of variables scheme as the value of Biot number and the non-dimensional hollow cylinder length increase and as the ratio of the outer radius to the inner radius decreases.