• Title/Summary/Keyword: finite difference expansion

Search Result 97, Processing Time 0.03 seconds

A study on the heat generation into air film as rotating of high speed journal in the air journal bearing (공기저어널 베어링에서 저어널의 고속회전시 공기유막내의 열발생에 관한 연구)

  • 이종열;성승학;이득우;박보선;김태영
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
    • /
    • 2002.04a
    • /
    • pp.82-86
    • /
    • 2002
  • The thermal characteristics of high-speed air spindle system with built-in motor are studied. Experiment and finite difference method analysis obtain temperature rise and temperature distribution of housing. For the analysis, air fluid film model is built and temperature rise and distribution in thermal steady state are computed for each rotational speed. Generally, it is said that the heat generation of air bearing is negligible. But the heat generation in air film by heat dissipation can not be negligible especially into high-speed region of the journal. In case that the heat generation of air spindle system is high, natural frequency of the spindle system becomes lower when the thermal state is in steady-state and it means the changes of air bearing stiffness due to the change of bearing clearance. It is shown that the temperature rise of air spindle system causes thermal expansion and induces the variation of bearing clearance. In consequence the stiffness of air bearing becomes smaller.

  • PDF

Three-Dimensional Numerical Experiment on the Tide-Induced Residual Currents around a Circular Island (원형섬 주변 조사 잔차류에 대한 삼차원 수치실험연구)

  • 이호진;최현용;정종률
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.5 no.4
    • /
    • pp.338-349
    • /
    • 1993
  • Most of numerical models for studying tide-induced residual currents (TIRC) were to dimensional depth averaged models which were confined to anlayze the horizontal structure of TIRC. In this study, TIRC occurring around a circular island was simulated with the three-dimensional spectral model which employed by the finite difference method in the horizontal direction and the expansion of basis function in the vertical direction. The main results of numerical experiment can be summarized as follows. Firstly. both topographic and nonlinear effect played an important role in the generation of TIRC. Secondly, when the currents were rotary clockwise. the horizontal structure of TIRC appeared to rotate in the same direction. These results were consistent with those of previous studies of two-dimensional numerical models.

  • PDF

Analysis of the Stokes Flow and Stirring Characteristics in a Staggered Screw Channel (엇갈림형 스크류 채널 내부의 스톡스 유동과 혼합특성 해석)

  • Suh Y. K.
    • Journal of computational fluids engineering
    • /
    • v.9 no.4
    • /
    • pp.55-63
    • /
    • 2004
  • The three-dimensional Stokes flow within a staggered screw channel is obtained by using a finite volume method. The geometry is intended to mimic the single screw extruder having staggered arrangement of flights. The flow solution is then subjected to the analysis of the stirring performance. In the analysis of the stirring performance, the stretching-mapping method developed by the author is employed for calculating the materials' stretching exponents, which are to be used in quantification of the mixing effect. The numerical results Indicate that the staggered geometry gives indeed far much better stirring-performance than the standard (nonstaggered) flight geometry. It was also shown that care must be given to the selection of the basis planes for evaluating the local stretching rate, and it turns out that the best method (H-method) has its basis plane just on the half way between the past and future evolution of fluid particles subjected to the defromation. In evaluating the stretching exponent, the expansion ratio must be considered which is one of the characteristic differences of the actual three-dimensional flows from the two-dimensionmal counterparts. The larger axial pressure-difference causes in general the smaller stirring performance while the flow rate is increased. The smaller channel length also increases the stirring performance.

Mapping of the lost riprap in shallow marine sediments using SBP (SBP를 이용한 해저 천부에 유실된 사석의 조사)

  • Shin, Sung-Ryul;Kim, Chan-Su;Yeo, Eun-Min;Kim, Young-Jun;Ha, Hee-Sang
    • Proceedings of the Korean Society of Marine Engineers Conference
    • /
    • 2005.11a
    • /
    • pp.220-221
    • /
    • 2005
  • Sub-bottom profiler(SBP) has been used extensively for the mapping of basement in the foundation design of offshore structure, for pre- and post-dredging operations within harbors and channels, for selection of pipeline routes, sitting of drilling platforms, and in the exploration for an aggregates such as sands and gravels. During the construction of Siwha embankment for irrigation water and the expansion of arable land, the breaking of an embankment unfortunately occurred so that a lot of riprap was swept away and widely dispersed by the tide and strong current. The feasibility study for the construction of the tidal-powered electric plant in Siwha embankment was performed quite recently. Therefore we made use of SBP survey to investigate the distribution of the lost riprap. We could successfully map out the distribution of the lost riprap from the reflection amplitude characteristics of the sediments in SBP data set. We demonstrated the variation of reflection amplitude versus the sediments with and/or without riprap by means of the numerical modeling of acoustic wave equation using finite difference method. Also we examined an amplitude anomaly of the ripraped area through the physical modeling using ultrasonic.

  • PDF

Passive Control of Condensation Shock Wave in a Transonic Nozzle (천음속 노즐에서 발생하는 응축충격파의 피동제어)

  • Kim, Hui-Dong;Baek, Seung-Cheol;Gwon, Sun-Beom
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.26 no.5
    • /
    • pp.666-674
    • /
    • 2002
  • A rapid expansion of the moist air or stream through transonic nozzle often leads to not-equilibrium condensation shock, causing a considerable amount of energy loss to the entire flow field. Depending on amount of heat released, condensation shock wave occurs in the nozzle and interacts with the boundary layer flow. In the current study, a passive control technique using a porous wall with a plenum cavity underneath is applied for purpose of alleviation the condensation shock wave in a transonic nozzle. A droplet growth equation is incorporated into two-dimensional wavier-Stokes equation systems. Computations are carried out using a third-order MUSCL type TVD finite-difference scheme with a second-order fractional time step. An experiment using an indraft transonic wind tunnel is made to validate the present computational results. The results obtained show that the magnitude of condensation shock wave is reduced by the current passive control method.

Passive Control of the Condensation Shock Wave Oscillation in a Supersonic Nozzle (초음속 노즐에서 발생하는 응축충격파 진동의 피동제어)

  • Baek, Seung-Cheol;Kwon, Soon-Bum;Kim, Heuy-Dong
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.26 no.7
    • /
    • pp.951-958
    • /
    • 2002
  • Rapid expansion of a moist air or a stream through a supersonic nozzle often leads to non-equilibrium condensation shock wave, causing a considerable energy loss in flow field. Depending on amount of latent heat released due to non-equilibrium condensation, the flow is highly unstable or a periodical oscillation accompanying the condensation shock wave in the nozzle. The unsteadiness of the condensation shock wave is always associated with several kinds of instabilities as well as noise and vibration of flow devices. In the current study, a passive control technique using a porous wall with a plenum cavity underneath is applied for the purpose of alleviation of the condensation shock oscillations in a transonic nozzle. A droplet growth equation is coupled with two-dimensional Navier-Stokes equation system. Computations are carried out using a third-order MUSCL type TVD finite-difference scheme with a second-order fractional time step. An experiment using an indraft wind tunnel is made to validate the present computational results. The results show that the oscillations of the condensation shock wave are completely suppressed by the current passive control method.

The probabilistic Analysis of Degree of Consolidation by Spatial Variability of Cv (압밀계수의 공간변동성에 따른 압밀도의 확률론적 해석)

  • Bong, Tae-Ho;Son, Young-Hwan;Noh, Soo-Kack;Park, Jae-Sung
    • Journal of The Korean Society of Agricultural Engineers
    • /
    • v.54 no.3
    • /
    • pp.55-63
    • /
    • 2012
  • Soil properties are not random values which is represented by mean and standard deviation but show spatial correlation. Especially, soils are highly variable in their properties and rarely homogeneous. Thus, the accuracy and reliability of probabilistic analysis results is decreased when using only one random variable as design parameter. In this paper, to consider spatial variability of soil property, one-dimensional random fields of coefficient of consolidation ($C_v$) were generated based on a Karhunen-Loeve expansion. A Latin hypercube Monte Calro simulation coupled with finite difference method for Terzaghi's one dimensional consolidation theory was then used to probabilistic analysis. The results show that the failure probability is smaller when consider spatial variability of $C_v$ than not considered and the failure probability increased when the autocorrelation distance increased. Thus, the uncertainty of soil can be overestimated when spatial variability of soil property is not considered, and therefore, to perform a more accurate probabilistic analysis, spatial variability of soil property needed to be considered.

Determination of Knoop Indentation Stress Conversion Factors for Measuring Equibiaxial Residual Stress (인장 및 압축 등방 잔류응력 측정을 위한 누프 압입시험의 응력환산계수 결정)

  • Jeong, Min Jae;Kim, Young-Cheon
    • Corrosion Science and Technology
    • /
    • v.20 no.6
    • /
    • pp.484-490
    • /
    • 2021
  • Instrumented indentation testing has been widely used for residual stress measurement. The Knoop indentation is mainly selected for determining anisotropic mechanical properties and non-equibiaxial residual stress. However, the measurement of equibiaxial stress state and compressive residual stress on a specimen surface using Knoop indentation is neither fully comprehended nor unavailable. In this study, we investigated stress conversion factors for measuring Knoop indentation on equibiaxial stress state through indentation depth using finite element analysis. Knoop indentation was conducted for specimens to determine tensile and compressive equibiaxial residual stress. Both were found to be increased proportionally according to indentation depth. The stress field beneath the indenter during each indentation test was also analyzed. Compressive residual stress suppressed the in-plane expansion of stress field during indentation. In contrast, stress fields beneath the indenter developed diagonally downward for tensile residual stress. Furthermore, differences between trends of stress fields at long and short axes of Knoop indenter were observed due to difference in indenting angles and the projected area of plastic zone that was exposed to residual stress.

Deformation of Non-linear Dispersive Wave over the Submerged Structure (해저구조물에 대한 비선형분산파의 변형)

  • Park, D.J.;Lee, J.W.
    • Journal of Korean Port Research
    • /
    • v.12 no.1
    • /
    • pp.75-86
    • /
    • 1998
  • To design a coastal structure in the nearshore region, engineers must have means to estimate wave climate. Waves, approaching the surf zone from offshore, experience changes caused by combined effects of bathymetric variations, interference of man-made structure, and nonlinear interactions among wave trains. This paper has attempted to find out the effects of two of the more subtle phenomena involving nonlinear shallow water waves, amplitude dispersion and secondary wave generation. Boussinesq-type equations can be used to model the nonlinear transformation of surface waves in shallow water due to effect of shoaling, refraction, diffraction, and reflection. In this paper, generalized Boussinesq equations under the complex bottom condition is derived using the depth averaged velocity with the series expansion of the velocity potential as a product of powers of the depth of flow. A time stepping finite difference method is used to solve the derived equation. Numerical results are compared to hydraulic model results. The result with the non-linear dispersive wave equation can describe an interesting transformation a sinusoidal wave to one with a cnoidal aspect of a rapid degradation into modulated high frequency waves and transient secondary waves in an intermediate region. The amplitude dispersion of the primary wave crest results in a convex wave front after passing through the shoal and the secondary waves generated by the shoal diffracted in a radial manner into surrounding waters.

  • PDF

Warpage Analysis during Fan-Out Wafer Level Packaging Process using Finite Element Analysis (유한요소 해석을 이용한 팬아웃 웨이퍼 레벨 패키지 과정에서의 휨 현상 분석)

  • Kim, Geumtaek;Kwon, Daeil
    • Journal of the Microelectronics and Packaging Society
    • /
    • v.25 no.1
    • /
    • pp.41-45
    • /
    • 2018
  • As the size of semiconductor chip shrinks, the electronic industry has been paying close attention to fan-out wafer level packaging (FO-WLP) as an emerging solution to accommodate high input and output density. FO-WLP also has several advantages, such as thin thickness and good thermal resistance, compared to conventional packaging technologies. However, one major challenge in current FO-WLP manufacturing process is to control wafer warpage, caused by the difference of coefficient of thermal expansion and Young's modulus among the materials. Wafer warpage induces misalignment of chips and interconnects, which eventually reduces product quality and reliability in high volume manufacturing. In order to control wafer warpage, it is necessary to understand the effect of material properties and design parameters, such as chip size, chip to mold ratio, and carrier thickness, during packaging processes. This paper focuses on the effects of thickness of chip and molding compound on 12" wafer warpage after PMC of EMC using finite element analysis. As a result, the largest warpage was observed at specific thickness ratio of chip and EMC.