• 제목/요약/키워드: $C^{*}$-Integral

검색결과 658건 처리시간 0.029초

터보 냉동기용 핀튜브에 관한 연구 ( I ) - 응축 열전달에 관하여 - (A Study on Finned Tube Used in Turbo Refrigerator( I ) -for Condensation Hear Transfer-)

  • 조동현;한규일;김시영
    • 수산해양교육연구
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    • 제5권1호
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    • pp.31-44
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    • 1993
  • Through the early 1900's, the evolution of the surface condenser was closely tied to the development of steam engine and the turbine. As the chemical and petroleum industries evolved in the 1900's, the use of surface condensers in many different processes. Today, industry uses condensers in many shapes and sizes. The actual condensation process occurs on the outside surface of tubes. The nature of this surface geometry affects the condenser's heat transfer performance. The first condensers were built with plain tubes. As tube manufacturing techniques advanced, manufacturers started making tubes with integral fins. In the 1940's, fin densities were limited to about 600 to 700 fins per meter(fpm) because of manufacturing procedure. Today new manufacturing techniques allow production of tubes with fin densities ranging from 750 to 1600 fpm. The integral-fin tubes investigated in this paper are nominally 19 mm diameter. Eight tubes have been used with trapezodially shaped integral-fins having fin density from 748 to 1654 fpm and 10, 30 grooves. For comparison, tests are made using a plain tube having the same inside diameter and an outside diameter equal to that at the root of the fins for the finned tubes. Betty and Katz's theoretical modelis is used to predict the R-11 condensation coefficient on horizontal integral-fin tubes having 748, 1024 and 1299 fpm. Experiments are carried out using R-11 as working fluid. The refrigerant condensates at a saturation state of $30^{\circ}C$ on the outside tube surface cooled by coolant. The amount of noncondensable gases present in the test loop is reduced to a negligible value by repeated purging. For a given heat input to the boiler and given cooling water flow rate, all test data are taken at steady state. The observed heat transfer enhancement for the finned and grooved tubes significantly exceeded that to be expected on grounds of increased area. For the eight fin tubes and one plain tube tested, the best performance has been obtained with a tube having a fin density of 1299 fpm, and a fin bight of 1.2mm and 30 grooves.

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교차되는 스트립 라인구조에서의 빠른 커패시턴스 계산기법 (Fast Calculation of Capacitance Matrix for Strip-Line Crossings and Other Interconnects)

  • ;이동준;심덕선;양철관;김형규;김형석
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제53권10호
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    • pp.539-545
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    • 2004
  • In this paper, we consider the problem of capacitance matrix calculation for strip-line and other interconnects crossings. The problem is formulated in the spectral domain using the method of moments. Sinc-functions are employed as basis functions. Conventionally, such a formulation leads to a large, non-sparse system of linear equations in which the calculation of each of the coefficient requires the evaluation of a Fourier-Bessel integral. Such calculations are computationally very intensive. In the method proposed here, we provide simplified expressions for the coefficients in the moment method matrix. Using these simplified expressions, the coefficients can be calculated very efficiently. This leads to a fast evaluation of the capacitance matrix of the structure. Computer simulations are provided illustrating the validity of the method proposed.

INVERSION OF THE CLASSICAL RADON TRANSFORM ON ℤnp

  • Cho, Yung Duk;Hyun, Jong Yoon;Moon, Sunghwan
    • 대한수학회보
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    • 제55권6호
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    • pp.1773-1781
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    • 2018
  • The Radon transform introduced by J. Radon in 1917 is the integral transform which is widely applicable to tomography. Here we study the discrete version of the Radon transform. More precisely, when $C({\mathbb{Z}}^n_p)$ is the set of complex-valued functions on ${\mathbb{Z}}^n_p$. We completely determine the subset of $C({\mathbb{Z}}^n_p)$ whose elements can be recovered from its Radon transform on ${\mathbb{Z}}^n_p$.

Dielectric and Optical Study of Polymer Nematic Liquid Crystal Composite

  • Manohar, S.;Shukla, S.N.;Chandel, V.S.;Shukla, J.P.;Manohar, R.
    • Transactions on Electrical and Electronic Materials
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    • 제14권3호
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    • pp.111-115
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    • 2013
  • The dielectric anisotropy and dispersion of the real and imaginary part of the permittivity of commercially important nematic mixture E-24 and its polymer composite were investigated in the frequency range from 1 kHz to 10 MHz, and temperature range $14^{\circ}C$ to $55^{\circ}C$. The percentage optical transmittance and density have also been measured for both the systems. The results have been explained by assuming molecular rotation about the long molecular axis, under a hindering nematic potential. The dielectric anisotropy ${\Delta}{\varepsilon}$ is positive, and the mean dielectric permittivity falls with rising temperature. ${\Delta}{\varepsilon}$ is also used to determine the order parameter with varying temperature.

자기베어링용 로우터의 형상 오차에 대한 실린더형 캐패시턴스 센서의 측정특성에 관한 연구 (A Study on the Measurement Characteristics of Cylindrical Type Capacitive Transducers to the Roundness Errors of Rotor for Magnetic Bearing)

  • Lee, S.H.;Jung, S.C.;Han, D.C.
    • 한국정밀공학회지
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    • 제12권3호
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    • pp.23-31
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    • 1995
  • The sending characteristics of the non-contact type displacement transducers can affect the performances of the magnetic bearing systems when they support the rotating shaft. The probe type displacement sensor detects not only the displacement of the rotor at the sensing position but also the surface irregularitis of the rotor such as surface roughnessand roundness errors. If there exist such measuring errors, the magnetic bearing can not apply proper force against the rotor displacements for the detected signal is the input to the magnetic bearing controllers. The cylindrical shape capacitive transducer can detect the rotor displacement by the integral sum of the charges which are formed between the sensor plates and rotor so that it can reduce the detecting errors induced by the surface irregularities of the rotor. By theore- tical analysis, we compared the sensing characteristics of the cylindrical shape capacitive transducers for the rotors that have some sinusoidal irregularities with that of the ideal probe type displacement transducers.

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원자로 냉각재배관 엘보우 및 서포트 스컷트용 (Fracture Resistance Characteristics of SA516-Gr.70 Steel Plate for RCS Piping Elbow and Support Skirt)

  • 손종동;임만배
    • 한국안전학회지
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    • 제21권4호
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    • pp.49-54
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    • 2006
  • The evaluation of elastic-plastic fracture characteristic was investigated in ferrite steel SA 516- Gr70 used for reactor coolant piping elbow and support skirt of pressure vessels. This paper describes the effect of temperature on J-R curve characteristic of this material. The elastic-plastic fracture mechanics parameter J is obtained with unloading compliance method. The test method were analyzed according to ASTM E 813-89 and E 1152-89. Unloading compliance $J_{IC}$ tests were performed on 1 CT specimens at varied temperatures from $25^{\circ}C$ to about $400^{\circ}C$ using a high temperature extensometer. At all temperature, valid $J_{IC}$ measurements could be made and $J_{IC}$ decreased with increasing temperature. SEM fractography schematically illustrates microvoid initiation, growth and coalescence at the tip of a preexisting crack.

HOLOMORPHIC MEAN LIPSCHITZ FUNCTIONS ON THE UNIT BALL OF ℂn

  • Kwon, Ern Gun;Cho, Hong Rae;Koo, Hyungwoon
    • 대한수학회지
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    • 제50권1호
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    • pp.189-202
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    • 2013
  • On the unit ball of $\mathbb{C}^n$, the space of those holomorphic functions satisfying the mean Lipschitz condition $${\int}_0^1\;{\omega}_p(t,f)^q\frac{dt}{t^1+{\alpha}q}\;<\;{\infty}$$ is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ${\omega}_p(t,f)$ denotes the $L^p$ modulus of continuity defined in terms of the unitary transformations of $\mathbb{C}^n$.

(p, q)-EXTENSION OF THE WHITTAKER FUNCTION AND ITS CERTAIN PROPERTIES

  • Dar, Showkat Ahmad;Shadab, Mohd
    • 대한수학회논문집
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    • 제33권2호
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    • pp.619-630
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    • 2018
  • In this paper, we obtain a (p, q)-extension of the Whittaker function $M_{k,{\mu}}(z)$ together with its integral representations, by using the extended confluent hypergeometric function of the first kind ${\Phi}_{p,q}(b;c;z)$ [recently extended by J. Choi]. Also, we give some of its main properties, namely the summation formula, a transformation formula, a Mellin transform, a differential formula and inequalities. In addition, our extension on Whittaker function finds interesting connection with the Laguerre polynomials.

BOUNDED CONVERGENCE THEOREMS

  • Niemiec, Piotr
    • 대한수학회지
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    • 제54권1호
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    • pp.319-357
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    • 2017
  • There are presented certain results on extending continuous linear operators defined on spaces of E-valued continuous functions (defined on a compact Hausdorff space X) to linear operators defined on spaces of E-valued measurable functions in a way such that uniformly bounded sequences of functions that converge pointwise in the weak (or norm) topology of E are sent to sequences that converge in the weak, norm or weak* topology of the target space. As an application, a new description of uniform closures of convex subsets of C(X, E) is given. Also new and strong results on integral representations of continuous linear operators defined on C(X, E) are presented. A new classes of vector measures are introduced and various bounded convergence theorems for them are proved.

가스절연 원통형 관로 내의 스페이서 전계 최적화 알고리즘에 관한 연구 (Investigation on Electric Field Optimization Algorithm of Spacer in Gas Insulated System)

  • 김웅식;민석원
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제51권3호
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    • pp.115-120
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    • 2002
  • This Paper describes an algorithm for the design of axi-symmetrical spacer under specified field conditions. The electric field alas been calculated by combination method of Integral Equation Method(IEM) and Charge Simulation Method(CSM). The contour of spacer is represented with NURB(Non-Uniform Rational B-spline) curve of which effectiveness has been proved. This algorithm introduces a design process in the aspect of electrical field, when a spacer in airtight cylinder is designed. Also various field conditions for obtaining optical shapes have been proposed. Due to the algorithm, the entire process shows a stable convergence. Both tangential and total electrical field are taken into consideration as specified field criteria.