• 제목/요약/키워드: Mean Curvature

검색결과 361건 처리시간 0.026초

Velocity Field Measurement of Flow Around a Surface-Mounted Vertical Fence Using the Two-Frame PTV System (2-프레임 PTV를 이용한 수직벽 주위 유동장 해석)

  • Baek, Seung-Jo;Lee, Sang-Joon
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • 제23권10호
    • /
    • pp.1340-1346
    • /
    • 1999
  • The turbulent shear flow around a surface-mounted vertical fence was investigated using the two-frame PTV system. The Reynolds number based on the fence height(H) was 2950. From this study, it is revealed that at least 400 instantaneous velocity field data are required for ensemble average to get reliable turbulence statistics, but only 100 field data are sufficient for the time-averaged mean velocity information. Various turbulence statistics such as turbulent intensities, turbulence kinetic energy and Reynolds shear stress were calculated from 700 instantaneous velocity vector fields. The fence flow has an unsteady recirculation region behind the fence, followed by a slow relaxation to the flat-plate boundary layer flow. The time-averaged reattachment length estimated from the streamline distribution is about 11.2H. There exists a region of negative Reynolds shear stress near the fence top due to the highly convex (stabilizing) streamline-curvature of the upstream flow. The large eddy structure in the separated shear layer seems to have significant influence on the development of the separated shear layer and the reattachment process.

Morphology of the Aging Forehead: A Three-Dimensional Computed Tomographic Study

  • Yi, Hyung Suk
    • Archives of Craniofacial Surgery
    • /
    • 제16권2호
    • /
    • pp.58-62
    • /
    • 2015
  • Background: Age-related changes have been studied for lower and middle facial bones. Although the forehead comprises one-third of the facial area, no studies have investigated age-related changes in the upper part of the face or forehead. The purpose of this study was to use three-dimensional computed tomography (3D CT) to investigate age-related changes in the frontal bone. Methods: A retrospective review was performed for patients who underwent 3D CT scan of facial bones. Patients were divided by gender and age (20 to 40 years, 41 to 60 years, and above 60 years). The frontal bone curvature was evaluated by the length of frontal bone and by two frontal bone angles in relation to the Frankfurt horizon. Results: In both genders, aging was associated with increasing lower slope length. In elderly men (>60 years), the upper slope angle was significantly higher when compared to younger male subjects. Women demonstrated similar age-related changes, but the differences were only statistically significant for the middle and older age groups. Conclusion: This study demonstrates quantifiable age-related changes in the frontal bone. These findings contribute to the understanding of age-related changes of the facial soft tissues. The mean measurements in each age group can be used as a reference when planning forehead reconstruction.

LK-BIHARMONIC HYPERSURFACES IN SPACE FORMS WITH THREE DISTINCT PRINCIPAL CURVATURES

  • Aminian, Mehran
    • Communications of the Korean Mathematical Society
    • /
    • 제35권4호
    • /
    • pp.1221-1244
    • /
    • 2020
  • In this paper we consider LK-conjecture introduced in [5, 6] for hypersurface Mn in space form Rn+1(c) with three principal curvatures. When c = 0, -1, we show that every L1-biharmonic hypersurface with three principal curvatures and H1 is constant, has H2 = 0 and at least one of the multiplicities of principal curvatures is one, where H1 and H2 are first and second mean curvature of M and we show that there is not L2-biharmonic hypersurface with three disjoint principal curvatures and, H1 and H2 is constant. For c = 1, by considering having three principal curvatures, we classify L1-biharmonic hypersurfaces with multiplicities greater than one, H1 is constant and H2 = 0, proper L1-biharmonic hypersurfaces which H1 is constant, and L2-biharmonic hypersurfaces which H1 and H2 is constant.

SPACE CURVES SATISFYING $\Delta$H = AH

  • Kim, Dong-Soo;Chung, Hei-Sun
    • Bulletin of the Korean Mathematical Society
    • /
    • 제31권2호
    • /
    • pp.193-200
    • /
    • 1994
  • Let x : $M^{n}$ .rarw. $E^{m}$ be an isometric immersion of a manifold $M^{n}$ into the Euclidean space $E^{m}$ and .DELTA. the Laplacian of $M^{n}$ defined by -div.omicron.grad. The family of such immersions satisfying the condition .DELTA.x = .lambda.x, .lambda..mem.R, is characterized by a well known result ot Takahashi (8]): they are either minimal in $E^{m}$ or minimal in some Euclidean hypersphere. As a generalization of Takahashi's result, many authors ([3,6,7]) studied the hypersurfaces $M^{n}$ in $E^{n+1}$ satisfying .DELTA.x = Ax + b, where A is a square matrix and b is a vector in $E^{n+1}$, and they proved independently that such hypersurfaces are either minimal in $E^{n+1}$ or hyperspheres or spherical cylinders. Since .DELTA.x = -nH, the submanifolds mentioned above satisfy .DELTA.H = .lambda.H or .DELTA.H = AH, where H is the mean curvature vector field of M. And the family of hypersurfaces satisfying .DELTA.H = .lambda.H was explored for some cases in [4]. In this paper, we classify space curves x : R .rarw. $E^{3}$ satisfying .DELTA.x = Ax + b or .DELTA.H = AH, and find conditions for such curves to be equivalent.alent.alent.

  • PDF

Review of Freeform Buildings using CNC T-BAR System (CNC T-BAR 형상제어 시스템을 활용한 비정형 건축물의 곡면 파사드의 시공사례 검토)

  • Kim, SungJin;Park, YoungMi;Park, JungJoon
    • Proceedings of the Korean Institute of Building Construction Conference
    • /
    • 한국건축시공학회 2017년도 춘계 학술논문 발표대회
    • /
    • pp.58-59
    • /
    • 2017
  • Through the case study, we surveyed the performance of a CNC-T BAR system on irregular-shaped building construction project. By CNC T-BAR system, we mean a surface curvature control system has been used in aircraft and ship manufacturing by controlling entire surface points on shape. For the past 10 year, the number of irregularly-shaped building design and construction project has been increased, and also the studies on irregular-shaped construction methods have been conducted. However, the previous studies did not review on the performance of the CNC T-BAR system. We collected construction-completed cases in Korea, which applied the CNC T-BAR system, and we studied its performance by comparing with a segment system in terms of construction duration and its quality. The result shows that the CNC T-BAR system can shorten the construction duration comparing with segment-assembly system while maintaining high quality. The CNC T-BAR system is expected to apply on the more number of irregularly-shape building construction project.

  • PDF

A study on the elastic-plastic analysis and fracture behavior of pressure vessel (내외압을 받는 압력용기의 탄소성 해석과 파괴거동에 대한 고찰)

  • 엄동석
    • Journal of Welding and Joining
    • /
    • 제6권2호
    • /
    • pp.19-29
    • /
    • 1988
  • This paper reports on the elatic-plastic analysis and fracture behavior of cylinder with outer surface crack which is under external or internal pressure. For the studuty of crack length effects in cylinder, ratios of crack lengths to finite thickness (a/t) are dertermined 0.3, 0.4, 0.5. For the study of curvature effects in cylinders, ratios of mean diameter to finite thicknees (Rm/t) are determined 10.0, 15.0, 20.0. Analysis is conduceted using the theory of fracture mechanics and two dimensional finite element solution assuming the axi-symmetrical plane strain conditon. Main results of this study are as follows. 1) It is known from this paper that elastic-plastic strain is initiated near crack tip and enlarged between crack tip and inner side of cylinder. 2) $K_{1}$ of cylinder under external or internal pressure is evaluated memebrane stress .root..pi.* crack length. The results of this study are inclined to Lomacky's results and Kobayshi's result. 3) Distribution of stress near crack tip is looked higher than of other zone, as crack length of equal model is longer, and as diameter of cylinder is longer. 4) When other conditions are equal, displacemenet near crack tip is looked duller, as length is longer.

  • PDF

Computation of Complete Bouguer Anomalies in East Sea (동해 지역의 완전부우게 이상 계산)

  • Kim, Young-Hyun;Yun, Hong-Sik;Lee, Dong-Ha;Huang, He
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
    • /
    • 한국측량학회 2010년 춘계학술발표회 논문집
    • /
    • pp.165-168
    • /
    • 2010
  • This paper describes the results of complete Bouguer anomalies computed from the Free-air anomalies that derived from Sandwell and DNSC08 mairne gravity models. Complete bouguer corrections consist of three parts: the bouguer correction (Bullard A), the curvature correction (Bullard B) and the terrain correction (Bullard C). These all corrections have been computed over the East Sea on a $1'{\times}1'$ elevation data (topography and bathymetry) derived from ETOPO1 global relief model. In addition, a constant topographic (sea-water) density of $2,670kg/m^3$ ($1,030kg/m^3$) has been used for all correction terms. The distribution of complete bouguer anomalies computed from DNSC08 are -34.390 ~ 267.925 mGal, and those from Sandwell are -32.446 ~ 266.967 mGal in East Sea. The mean and RMSE value of the difference between DNSC08 and Sandwell is $0.036{\pm}2.373$ mGal. The highest value of complete bouguer anomaly are found around the region of $42{\sim}43^{\circ}N$ and $137{\sim}139^{\circ}E$ (has the lowest bathymetry) in both models. Theses values show that the gravity distribution of both models, DNSC08 and Sandwell, are very similar. They indicate that satellite-based marine gravity model can be effectively used to analyze the geophysical, geological and geodetic characteristics in East Sea.

  • PDF

Dipole Distributions on a Hyperboloidal Panel (쌍곡면 패널에의 다이폴 분포)

  • Chang-Sup Lee;Jung-Chun Suh
    • Journal of the Society of Naval Architects of Korea
    • /
    • 제32권2호
    • /
    • pp.32-42
    • /
    • 1995
  • When the thickness becomes so small as in the case of the trailing edge of the propeller blade or when the curvature of the surface varies rapidly as in ship stem, the existing panel method employing a flat-surface panel, obtained by collapsing the original non-planar surface into its mean location, suffers the leakage problem and also gives inaccurate induction upon the field point very close to the panel. The hyperboloidal panel deals with the induction from the dipole distributed on the non-planar surface without approximation, overcoming the defects of the flat-surface panel. This paper introduces two distinct derivations of the formulae to compute the integral for the potential induced by a dipole of uniform density distributed on a non-planar hyperboloidal surface element. One method is based on the Gauss-Bonnet theorem and the other is based on the transformation of the surface integral into a line integral.

  • PDF

A study on an oblique impinging jet (경사충돌분류에 관한 연구)

  • 조용철;김광용;박상규
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • 제14권3호
    • /
    • pp.716-724
    • /
    • 1990
  • Oblique impinging plane jets were investigated experimentally and numerically at Reynolds number 21000. The inclination angle was varied from 90.deg.(normal to the impinging plate) to 60.deg.. The distance H between the nozzle exit and the stagnation point on the impinging plate was fixed at H/D=8. The working fluid was air. The mean velocity components and turbulent quantities were measured by a hot-wire anemometer. And the static pressure distributions on the impinging plate were measured by a Pitot tube. In numerical computation, the governing partial differential equations of elliptic type were solved with conventional k-.epsilon. turbulence model. The measurements show that, after impingement, the jet half width alone the wall increases in both directions, and that similarity for each turbulent quantity such as Reynolds shear stress or turbulent kinetic energy is revealed in the wall jet region. The computed results show some deviation from experimental data in the impingement region, where streamline curvature is significant. However, the computed results agree qualitatively well with measurements.

Investigation on the Shoulder Shapes between Korean and American Women Age over 55 for Apparel (장·노년층 여성의 의복제작을 위한 어깨형태 연구 - 한국인과 미국인의 비교 -)

  • Choi, Mee-Sung
    • Fashion & Textile Research Journal
    • /
    • 제5권3호
    • /
    • pp.260-266
    • /
    • 2003
  • The objective of this study is to compare the general body measurements and shoulder shapes of Korean and American elderly women to supply basic data for the apparel design. The anthropometrics data was collected including both direct and indirect measurements of 283 women over the age of 55 in Korean and the American women. The statistical methods used for the analysis of measurement data are the T-test, Exploratory data analysis, ANOVA and Duncan-test respectively. The results of the T-test indicated that there is a significant difference in the 14 body measurement items except of waist circumference. The results of exploratory data analysis, an independent relationship between shoulder slope angle and forward shoulder roll of Korean women. On the other hand, there is a dependent relationship that the bigger shoulder slope and forward shoulder roll with wide cross back shoulder of American women. Comparison of mean among the three different age groups, aged 55~59 group shows significant differences in the value of difference between cross back shoulders and horizontal shoulder width. This finding indicates that the wide and forward roll shoulder needs to special pattern making like ease amount and curvature for fit and comfort for women's apparel.