• Title/Summary/Keyword: parallel bundles

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ON C-PARALLEL LEGENDRE AND MAGNETIC CURVES IN THREE DIMENSIONAL KENMOTSU MANIFOLDS

  • MAJHI, PRADIP;WOO, CHANGHWA;BISWAS, ABHIJIT
    • Journal of applied mathematics & informatics
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    • v.40 no.3_4
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    • pp.587-601
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    • 2022
  • We find the characterizations of the curvatures of Legendre curves and magnetic curves in Kenmotsu manifolds with C-parallel and C-proper mean curvature vector fields in the tangent and normal bundles. Finally, an illustrative example is presented.

Analysis of Secondary Flow Effects on Turbulent Flow in Nuclear Reactor Fuel Rod Bundles (핵연료 집합체 내에서의 이차유동이 난류에 미치는 영향에 대한 해석적 분석)

  • Shon, Jae-Yeong;Park, Goon-Chul
    • Nuclear Engineering and Technology
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    • v.23 no.3
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    • pp.275-284
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    • 1991
  • It is important to predict the main feature of fully developed turbulent secondary flow through infinite triangular arrays of parallel rod bundles. One-equation turbulence model which include anisotropic eddy viscosity model was applied to predict the exact velocity field. For a constant properties, Reynolds equations were solved by the finite element method. Mean axial velocity near the wall is simulated by the law of the wall. The numerical results showed good agreement with avaiable experimental data. The strength of the secondary flow increased with Reynolds number but decreased with rod spacing, P/D (pitch-to-diameter). The secondary flow affects remarkably the distribution of the axial velocity, wall shear stress and turbulent kinetic energy in the closely packed rod array bundles.

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Habitats and Air Uptake Based on Analysis of Skin Structure of Two Korean Bullheads, Pseudobagrus brevicorpus and P. koreanus (Pisces; Bagridae}

  • Park, Jong-Young;Kim, Chi-Hong
    • Animal cells and systems
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    • v.11 no.2
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    • pp.155-160
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    • 2007
  • The skin of the Korean bullheads, Pseudobagrus brevicorpus and P. koreanus, is composed of epidermis, dermis and subcutis. The epidermis has three layers, the outermost layer, middle layer and stratum germinativum. The epidermis consists of two types of gland cells, an unicellular mucous cell of sulfomucin and a large club cell having sometimes two nuclei. The epidermis has numerous intraepithelial blood vessels in P. brevicorpus but not at all in P. koreanus. Lymphatic spaces containing lymphocytes are well developed in mainly the stratum germinativum. The dermis lacks scales and consists mostly of bundles of coarse collagen fibers. The collagen bundles are arranged in parallel to each other in the dorsum and lateral region toward the dorsum, but vertically at intervals in the abdomen and lateral region toward the abdomen. Considering this unique skin structure, the two species are likely to exercise cutaneous respiration as a dual respiratory system to overcome hypoxic conditions which frequently occurs in their habitats.

Fluid-Elastic Instability of Tube Bundles in Two-Phase Cross-Flow (2상 횡유동을 받는 튜브군의 유체탄성 불안정성)

  • 김범식;장효환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1948-1966
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    • 1991
  • Two-phase cross-flow exists in many shell-tube heat exchangers such as condensers, reboilers and nuclear steam generators. To avoid problems due to excessive vibration, information on vibration excitation in two-phase cross-flow is required. Fluid-elastic instability is discussed in this paper. Four tube bundle configurations were subjected to increasing flow up to the onset of fluid-elastic instability. The tests were done on bundles with one flexible tube surrounded by rigid tubes. The fluid-elastic instability behavior is different for intermittent flows than for bubbly flows. For bubbly flows, the observed instabilities satisfy the relationship V/fd=K(2.pi..zeta. m/rho. $d^{21}$)$^{0.51}$ in which the minimum instability factor K was found to be 2.3 for bundles of p/d=1.22. The lowest critical velocities for fluid-elastic instability were experienced with parallel-triangular tube bundles. For intermittent flow, the observed instabilities did not follow the forgoing relation-ship. Significantly lower flow velocities were required for instability..

The Statistical Approach for Determining the Parallel-Bundle Strength from Single-Filament Data of PET (PET single filament 데이터로부터의 번들강도 결정을 위한 통계적 접근)

  • Cho, Kee-Hwan;Jeong, Sung-Hoon
    • Proceedings of the Korean Fiber Society Conference
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    • 2003.10b
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    • pp.291-292
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    • 2003
  • Although the tensile strength of textile materials are determined by that of their components, it is well known that the tensile strength of fiber bundles and yams is not accurately predicted from that of single-fibers by simple averaging methods or mathematical calculations, because of variations in their strength. Therefore, there have been attempts to interpret the bundle strength from that of its elements by the stochastical approach. (omitted)

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On the Development of Differential Geometry from mid 19C to early 20C by Christoffel, Ricci and Levi-Civita (크리스토펠, 리치, 레비-치비타에 의한 19세기 중반부터 20세기 초반까지 미분기하학의 발전)

  • Won, Dae Yeon
    • Journal for History of Mathematics
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    • v.28 no.2
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    • pp.103-115
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    • 2015
  • Contemporary differential geometry owes much to the theory of connections on the bundles over manifolds. In this paper, following the work of Gauss on surfaces in 3 dimensional space and the work of Riemann on the curvature tensors on general n dimensional Riemannian manifolds, we will investigate how differential geometry had been developed from mid 19th century to early 20th century through lives and mathematical works of Christoffel, Ricci-Curbastro and Levi-Civita. Christoffel coined the Christoffel symbol and Ricci used the Christoffel symbol to define the notion of covariant derivative. Levi-Civita completed the theory of absolute differential calculus with Ricci and discovered geometric meaning of covariant derivative as parallel transport.

An Ultrastructural Study of Tentacular Retractor Muscle of Chinese Mystery Snail, Cipangopaludina chinensis malleata Reeve (논우렁이 촉수(觸手) 수축근(收縮筋)의 미세구조(微細構造))

  • Song, Yong-Jik;Kim, Woo-Kap;Kim, Chang-Whan
    • Applied Microscopy
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    • v.17 no.2
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    • pp.31-40
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    • 1987
  • The tentacular retractor muscle has many arrays of muscle fiber bundles under the epithelial layer. Most of muscle fiber bundles are arranged in parallel to the longitudinal axes of muscle fibers and a small number of them perpendiculary to them. These smooth muscle cells are filled with compactly arranged myosins and actins. These microfilaments, when the tentacle is protracted, keep abreast with straight for-ward-lined shapes while these microfilaments, when it is retracted, with curved shapes. The foldings in the sarcolemma of the muscle cell, when the tentacle is retracted, lead to the formation of normal subsurface tubules along with which a few mitochondria are included. It is thought that the formation of the sarcolemmal differentiation like the subsurface tubules has a close relation with the protraction and retraction of the tentacle. Mitochondria are found throughout the muscle cell, and sarcoplasmic reticulum (SR) developed greatly in the exoplasm close to the sarcolemma and associated with the cell membrane. Dense bodies are distributed irregularly and thin filaments are scattered around the thick filament in cross-sections, but the thin filaments may be arranged in complete or partial orbits around thick filaments. Complete orbits are infrequent.

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Fabrication of unidirectional commingled-yarn-based carbon fiber/polyamide 6 composite plates and their bend fracture performances (일방향 혼합방사형 탄소섬유/폴리아미드 6 복합재료판의 제작조건과 굽힘파괴거동)

  • Choi, Nak-Sam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.2
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    • pp.416-427
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    • 1998
  • Unidirectional commingled-yarn-based carbon fiber(CF)/polyamide(PA) 6 composite was fabricated under molding pressures of 0.4, 0.6 and 1.0 MPa to study its flexural deformation and fracture behavior. Fiber/matrix interfacial bonding area became larger with an increase of molding pressure from 0.4 to 0.6 MPa. For molding pressures .geq. 0.6 MPa, good flexural performance of similar magnitudes was attained. For the fracture test, four kinds of notch direction were adopted : edgewise notches parallel (L) and transverse (T) to the major direction of fiber bundles, and flatwise notches parallel(ZL) and perpendicular(ZT) to this direction. Nominal bend strength for L and ZL specimens exhibited high sensitivity to notching. ZL specimens revealed the lowest values of the critical stress intensity factor $K_c$ which was slightly superior to those of unfilled PA6 matrix. Enlargement of the compression area for T specimens was analyzed by means of the rigidity reduction resulting from the fracture occurrence.

Quasi-Cyclic Low-Density Parity-Check Codes with Large Girth Based on Euclidean Geometries (유클리드 기하학 기반의 넓은 둘레를 가지는 준순환 저밀도 패리티검사 코드)

  • Lee, Mi-Sung;Jiang, Xueqin;Lee, Moon-Ho
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.11
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    • pp.36-42
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    • 2010
  • This paper presents a hybrid approach to the construction of quasi-cyclic (QC) low-density parity-check (LDPC) codes based on parallel bundles in Euclidean geometries and circulant permutation matrices. Codes constructed by this method are shown to be regular with large girth and low density. Simulation results show that these codes perform very well with iterative decoding and achieve reasonably large coding gains over uncoded system.

Optimized Geometric LDPC Codes with Quasi-Cyclic Structure

  • Jiang, Xueqin;Lee, Moon Ho;Gao, Shangce;Wu, Yun
    • Journal of Communications and Networks
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    • v.16 no.3
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    • pp.249-257
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    • 2014
  • This paper presents methods to the construction of regular and irregular low-density parity-check (LDPC) codes based on Euclidean geometries over the Galois field. Codes constructed by these methods have quasi-cyclic (QC) structure and large girth. By decomposing hyperplanes in Euclidean geometry, the proposed irregular LDPC codes have flexible column/row weights. Therefore, the degree distributions of proposed irregular LDPC codes can be optimized by technologies like the curve fitting in the extrinsic information transfer (EXIT) charts. Simulation results show that the proposed codes perform very well with an iterative decoding over the AWGN channel.