• Title/Summary/Keyword: Compressibility Number

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Development of new models to predict the compressibility parameters of alluvial soils

  • Alzabeebee, Saif;Al-Taie, Abbas
    • Geomechanics and Engineering
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    • v.30 no.5
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    • pp.437-448
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    • 2022
  • Alluvial soil is challenging to work with due to its high compressibility. Thus, consolidation settlement of this type of soil should be accurately estimated. Accurate estimation of the consolidation settlement of alluvial soil requires accurate prediction of compressibility parameters. Geotechnical engineers usually use empirical correlations to estimate these compressibility parameters. However, no attempts have been made to develop correlations to estimate compressibility parameters of alluvial soil. Thus, this paper aims to develop new models to predict the compression and recompression indices (Cc and Cr) of alluvial soils. As part of the study, geotechnical laboratory tests have been conducted on large number of undisturbed samples of local alluvial soil. The obtained results from these tests in addition to available results from the literature from different parts in the world have been compiled to form the database of this study. This database is then employed to examine the accuracy of the available empirical correlations of the compressibility parameters and to develop the new models to estimate the compressibility parameters using the nonlinear regression analysis. The accuracy of the new models has been accessed using mean absolute error, root mean square error, mean, percentage of predictions with error range of ±20%, percentage of predictions with error range of ±30%, and coefficient of determination. It was found that the new models outperform the available correlations. Thus, these models can be used by geotechnical engineers with more confidence to predict Cc and Cr.

FE Lubrication Analyses of High-Speed Gas-Levitation Applications using High-Order Shape Function (고차 형상함수를 이용한 고속 가스부상 FE 윤활해석)

  • 이안성;김준호
    • Tribology and Lubricants
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    • v.20 no.1
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    • pp.14-20
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    • 2004
  • In high-speed gas-levitation applications a high compressibility number may bring a numerical difficulty in predicting generated pressure profiles accurately as it causes erroneous sudden pressure overshoot and oscillation in the trailing-edge. To treat the problem, in this study an exact exponential high-order shape function is introduced in the FE lubrication analyses. It is shown by various example applications that the high-order shape function scheme can successfully subdue undesired pressure overshoot and oscillation.

A Modified Method for the Boundary Fitted Coordinate Systems to Analysis of Gas Bearings Considering Upstream In Extremely High Compressibility Number Region

  • Khan, Polina;Hwang, Pyung;Park, Sang-Shin
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.105-106
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    • 2002
  • An expanded scheme of direct numerical solution method for solving the Reynolds' equation in the boundary fitted coordinate systems for the gas lubrication with ultra low clearance is presented. Skewed slider is calculated by this scheme and results are compared to the original direct numerical solution. The modified scheme has advantages in stability in high compressibility number region. At the lower A region the difference in results of original and modified method is several percents.

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NUMERICAL SIMULATIONS OF TWO DIMENSIONAL INCOMPRESSIBLE FLOWS USING ARTIFICIAL COMPRESSIBILITY METHOD (가상 압축성 기법을 이용한 이차원 비압축성 유동의 수치모사)

  • Lee, H.R.;Yoo, I.Y.;Kwak, E.K.;Lee, S.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.389-396
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    • 2010
  • In this paper, a new computational code was developed using Chorin's artificial compressibility method to solve the two-dimensional incompressible Navier-Stokes equations. In spatial derivatives, Roe's flux difference splitting was used for the inviscid flux, while central differencing was used for the viscous flux. Furthermore, AF-ADI with dual time stepping method was implemented for accurate unsteady computations. Two-equation turbulence models, Menter's $k-{\omega}$ SST model and Coakley's $q-{\omega}$ model, hae been adopted to solve high-Reynolds number flows. A number of numerical simulations were carried out for steady laminar and turbulent flow problems as well as unsteady flow problem. The code was verified and validated by comparing the results with other computational results and experimental results. The results of numerical simulations showed that the present developed code with the artificial compressibility method can be applied to slve steady and unsteady incompressible flows.

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Development of a 3-D Incompressible Flow Solver Based on an Artificial Compressibility Method (가상 압축성 기법을 이용한 삼차원 비압축성 유동해석 코드 개발)

  • Jung, Mun-Seung;Kwon, Oh-Joon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.614-617
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    • 2008
  • An unstructured hybrid mesh flow solver has been developed for the simulations of three dimensional steady and unsteady incompressible flow fields. The incompressible Navier-Stokes equations with an artificial compressibility method were discretized by using a node-based finite-volume method. For the unsteady time-accurate computation, a dual-time stepping method was adopted to satisfy a divergence free flow field at each physical time step. The one equation Spalart-Allmaras turbulence model has been adopted to solve the high-Reynolds number flow fields. This method has been applied to calculate the steady flow fields around submarine configurations and unsteady flow fields around a 3-D infinite cylinder.

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NUMERICAL ANALYSIS OF CAVITATION WITH COMPRESSIBILITY EFFECTS AROUND HEMISPHERICAL HEAD-FORM BODY (반구형 전두부 실린더에서 발생하는 캐비테이션 유동의 압축성 효과에 대한 수치해석 연구)

  • Park, S.;Rhee, S.H.;Shin, B.R.
    • Journal of computational fluids engineering
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    • v.18 no.4
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    • pp.9-16
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    • 2013
  • Cavitation on an axi-symmetric hemispherical head-form body was studied using an Reynolds-averaged Navier-Stokes equations solver based on a cell-centered finite volume method. To consider compressibility effects on the vapor phase and cavity interface, a pressure-based compressible flow CFD code was developed. To validate the developed CFD code, cavitating flow around the hemispherical head-form body was simulated using pressure-based incompressible and compressible CFD codes and validated against existing experimental data in the three-way comparison. The cavity shedding behavior, length of re-entrant jet, drag history, and Strouhal number of the hemispherical head-form body were compared between two CFD codes. The results, in this paper, suggested that the computations of cavitating flow with compressibility effects improve the description of cavity dynamics.

Similarity Analysis of Scale Ratio Effects on Pulsating Air Pockets Based on Bagnold's Impact Number (Bagnold 충격수를 고려한 압축 팽창하는 갇힌 공기에 미치는 축척비 효과에 대한 상사 해석)

  • Sangmook Shin
    • Journal of the Society of Naval Architects of Korea
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    • v.60 no.3
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    • pp.193-201
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    • 2023
  • A developed code based on the unified conservation laws of incompressible/compressible fluids is applied to analyze similarity in pressure oscillations caused by pulsating air pockets in sloshing tanks. It is shown that the nondimensional time histories of pressure show good agreements under Froude and geometric similarities, provided that there are no pulsating entrapped air pockets. However, the nondimesional period of pressure oscillation due to the pulsating air pocket becomes longer as the size of the sloshing tank increases. The discrepancy in the nondimensional period is attributed to the compressibility bias of the entrapped air. To get rid of the compressibility bias, the ullage pressure in a sloshing tank is adjusted based on the Bagnold's impact number. The variation in the period of pressure oscillation according to the ullage pressure is explained based on the spring-mass system. It is shown that the nondimensional period of pressure oscillation is virtually constant when the ullage pressure is adjusted based on the Bagnold's impact number, regardless of tank size. It is found that the Bagold's impact number should be the same, if the time history of pressure is important while an entrapped air pocket pulsates.

Numerical Simulation of Gaseous Flow in Microchannel

  • Islam, Md. Tajul;Lee, Jong-Hoon;Lee, Yeon-Won
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.3
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    • pp.272-281
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    • 2007
  • A numerical simulation on nitrogen gas flow in a long parallel plate microchannel was performed to obtain the effect of compressibility and rarefaction on gaseous flow in microchannels. The simulation was based on steady. two dimensional compressible Navier-Stokes and energy equations with noslip and first order slip boundary conditions. The channel was $1.2{\mu}m$ deep and $3000{\mu}m$ long. The Reynolds numbers were in the range of order from $10^{-2}$ to $10^{-1}$. So the flow was assumed to be laminar. The computations were performed on various pressure ratios. The outlet pressure was fixed to atmospheric pressure. The outlet Knudsen number was 0.0585, consequently the flow was in the slip flow regime. The computations were performed with the assumption of isothermal channel walls. The results were compared with the experimental data. The agreement was good.

A Lubrication Analysis of Gas Mechanical Face Seals using a High-Order Shape Function (고차 형상함수를 이용한 가스 미케니컬 페이스 시일의 윤활해석)

  • 이안성;양재훈;최동훈
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.11a
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    • pp.204-211
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    • 2001
  • For the treatment of high compressibility number in the Reynolds equation, a new class of exponential high-order shape functions has been recently introduced in the literatures. In this paper a FE lubrication analysis method of high speed gas mechanical face seals is developed, implementing these shape functions. Their validity and usefulness are presented using 1-D gas bearing models. And a validation of developed 2-D analysis code is shown with a gas flat and spiral groove face seal models.

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Compressibility Characteristics Associated with Depositional Environment of Pusan Clay in the Nakdong River Estuary (낙동강 하구지역 부산점토의 퇴적환경에 따른 압축특성)

  • Chung, Sung-Gyo;Ninjgarav, E.;Ryu, Chun-Kil;Jang, Woo-Young
    • Journal of the Korean Geotechnical Society
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    • v.22 no.12
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    • pp.57-65
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    • 2006
  • In the Nakdong River estuary soft and thick clay, which called Pusan clay, are deposited. Despite a number of great reclaimed projects that have been performed in the area, the consolidation settlement and time have been significantly underestimated due dominantly to sample disturbance, since the last decade. In order to resolve the underestmation, it was necessary to examine the compressibility characteristics through a systematic geotechnical investigation on the clay. In this study an advanced sampling technique was adopted on two sites chosen along the coastline, and then oedometer testing and geological investigation were performed for the undisturbed and reconstituted samples. As the results, the compressibility parameters of the clay were representatively determined, as well as their correlation. Particularly the effects of depositional environment on the physical indexes, level of structure, sample disturbance and compressibility parameters were analyzed for the clay.