• Title/Summary/Keyword: Leakage calculation

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Rotordynamic Analysis for Stepped-Labyrinth Gas Seals Using Moodys Friction-Factor Model

  • Ha, Tae-Woong
    • Journal of Mechanical Science and Technology
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    • v.15 no.9
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    • pp.1217-1225
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    • 2001
  • The governing equations are derived for the analysis of a stepped labyrinth gas seal generally used in high performance compressors, gas turbines, and steam turbines. The bulk-flow is assumed for a single cavity control volume set up in a stepped labyrinth cavity and the flow is assumed to be completely turbulent in the circumferential direction. The Moodys wall-friction-factor model is used for the calculation of wall shear stresses in the single cavity control volume. For the reaction force developed by the stepped labyrinth gas seal, linearized zeroth-order and first-order perturbation equations are developed for small motion about a centered position. Integration of the resultant first-order pressure distribution along and around the seal defines the rotordynamic coefficients of the stepped labyrinth gas seal. The resulting leakage and rotordynamic characteristics of the stepped labyrinth gas seal are presented and compared with Scharrers theoretical analysis using Blasius wall-friction-factor model. The present analysis shows a good qualitative agreement of leakage characteristics with Scharrers analysis, but underpredicts by about 20%. For the rotordynamic coefficients, the present analysis generally yields smaller predictied values compared with Scharrers analysis.

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Rotordynamic and Leakage Analysis for Eccentric Annular Seal (편심된 펌프 실의 누설 및 회전체동역학적 해석)

  • Ha, Tae-Woong
    • The KSFM Journal of Fluid Machinery
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    • v.4 no.2 s.11
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    • pp.15-21
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    • 2001
  • Basic equations and their solution procedure we derived for the analysis of an annular pump seal in which the rotor has a large static displacement from the centered position. The Bulk-flow is assumed for a control volume set in the seal clearance and the flow is assumed to be completely turbulent in axial and circumferential direction. Moody's wall-friction-factor formula is used for the calculation of wall shear stresses in the control volume. For the reaction force developed by the seal, linearized zeroth-order and first-order perturbation equations are developed for small motion about an eccentric position. Flow variables are expanded by using Fourier series for the solution procedure. Integration of the resultant first-order pressure distribution along and around the seal defines the 12 elements of rotordynamic coefficients of the eccentric annular pump seal. The results of leakage and rotordynamic coefficients aye presented and compared with the Marquette's experimental results and the San Andres' theoretical analysis.

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Leakage and Rotordynamic Analysis for Staggered-Labyrinth Gas Seal (엇갈린 래버린스 실의 누설량 및 동특성 해석)

  • Ha, Tae-Woong
    • Tribology and Lubricants
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    • v.18 no.1
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    • pp.24-33
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    • 2002
  • The basic equations are derived for the analysis of a staggered labyrinth gas seal which are generally used in high performance compressors and steam turbines. The Bulk-flow is assumed for a single cavity control volume and the flow is assumed to be completely turbulent in circumferential direction. Moody's wall-friction-factor formula is used for the calculation of wall shear stresses in the single cavity control volume. For the reaction force developed by the seal, linearized zeroth-order and first-order perturbation equations are developed for small motion about a centered position. Integration of the resultant first-order pressure distribution along and around the seal defines the rotordynamic coefficients of the staggered labyrinth gas seal. Theoretical results of leakage and rotordynamic characteristics for the staggered labyrinth gas seal are compared with those of the plain seal and see-through labyrinth seal.

Linearized analysis of the internal pressures for a two-compartment building with leakage

  • Yu, Xianfeng;Gu, Ming;Xie, Zhuangning
    • Wind and Structures
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    • v.28 no.2
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    • pp.89-97
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    • 2019
  • The non-linear equations governing wind-induced internal pressures for a two-compartment building with background leakage are linearized based on some reasonable assumptions. The explicit admittance functions for both building compartments are derived, and the equivalent damping coefficients of the coupling internal pressure system are iteratively obtained. The RMS values of the internal pressure coefficients calculated from the non-linear equations and linearized equations are compared. Results indicate that the linearized equations generally have good calculation precision when the porosity ratio is less than 20%. Parameters are analyzed on the explicit admittance functions. Results show that the peaks of the internal pressure in the compartment without an external opening (Compartment 2) are higher than that in the compartment with an external opening (Compartment 1) at lower Helmholtz frequency. By contrast, the resonance peak of the internal pressure in compartment 2 is lower than that in compartment 1 at higher Helmholtz frequencies.

The Leakage and Rotordynamic Analysis of A Combination-Type-Staggered-Labyrinth Seal for A Steam Turbine (스팀 터빈용 조합형 엇갈린 래버린스 실의 누설량 및 동특성 해석)

  • Ha, Tae-Woong;Lee, Yong-Bok;Kim, Seung-Jong;Kim, Chang-Ho
    • The KSFM Journal of Fluid Machinery
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    • v.7 no.6 s.27
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    • pp.45-54
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    • 2004
  • Governing equations and numerical solution methods are derived for the analysis of a combination-type-staggered-labyrinth seal used in high performance steam turbines. A bulk flow is assumed for each combination-type-staggered-labyrinth cavity. Axial flow through a throttling labyrinth strip is determined by Neumann's leakage equation and circumferential flow is assumed to be completely turbulent in the labyrinth cavity. Moody's wall-friction-factor formula is used for the calculation of wall shear stresses. For the reaction force developed by the seal, linearized zeroth-order and first-order perturbation equations are developed for small motion near the centered position. Integration of the resultant first-order pressure distribution along and around the seal defines the rotordynamic coefficients of the combination-type-staggered-labyrinth seal. Theoretical results of leakage and rotordynamic characteristics for the IP4-stage seal of USC (ultra super critical) steam turbine are shown with the effect of sump pressure, the number of throttling labyrinth strip, and rotor speed.

Calculation of Leakage Inductance of Integrated Magnetic Transformer with Separated Secondary Winding Used in ZVS PSFB Converter

  • Tian, Jiashen;Zhang, Yiming;Ren, Xiguo;Wang, Xuhong;Tao, Haijun
    • Journal of Magnetics
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    • v.21 no.4
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    • pp.644-651
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    • 2016
  • A novel zero voltage switching (ZVS) phase shift full bridge (PSFB) converter used in geophysical exploration is proposed in this paper. To extend the ZVS ranges and increase power density of the converter, external inductor acting as leakage inductance is applied and integrated into the integrated magnetic (IM) transformer with separated secondary winding. Moreover, the loss of ZVS PSFB converter is also decreased. Besides, the analysis and accurate prediction methodology of the leakage inductance of the IM transformer are proposed, which are based on magnetic energy and Lebedev. Finally, to verify the accuracy of analysis and methodology, the experimental and finite element analysis (FEA) results of IM transformer and 40 kW converter prototypes are given.

A Study on the Damage Cost Estimation Model for Personal Information Leakage in Korea (개인정보유출 피해 비용 산출 모델에 관한 연구)

  • Lim, Gyoo Gun;Liu, Mei Na;Lee, Jung Mi
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.28 no.1
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    • pp.215-227
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    • 2018
  • As Korea is rapidly becoming an IT powerhouse in the short term, various side effects such as cyber violence, personal information leakage and cyber terrorism are emerging as new social problems. Especially, the seriousness of leakage of personal information, which is the basis of safe cyber life, has been highlighted all over the world. In this regard, it is necessary to estimate the amount of the damage cost due to the leakage of personal information. In this study, we propose four evaluation methods to calculate the cost of damages due to personal information leakage according to average real transactions value, personally recognized value, compensation amount basis, and comparison to similar countries. We analyzed data from 2007 to 2016 to collect personal information leakage cases for 10 years and estimated the cost of damages. The number of cases used in the estimation is 65, and the total number of personal information leakage is about 430 million. The estimated cost of personal information leakage in 2016 was estimated to be at least KRW 7.4 billion, up to KRW 220 billion, and the 10 year average was estimated at from KRW 10.7 billion to KRW 307 billion per year. Also, we could find out the singularity that the estimated damage due to personal information leakage increases every three years. In the future, this study will be able to provide an index that can measure the damage cost caused by the leakage of personal information more accurately, and it can be used as an index of measures to reduce the damage cost due to personal information leakage.

Calculation of the target revenue water ratio of local waterworks considering economic feasibility (경제성을 고려한 지방상수도 목표 유수율 산정)

  • Donghong Kim;Jaebum Lee;Jungkwan Song;Taeho Choi
    • Journal of Korean Society of Water and Wastewater
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    • v.37 no.6
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    • pp.311-324
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    • 2023
  • As an advanced study on the method of calculating the target revenue water ratio of local waterworks through the leakage component analysis method proposed by Kim et al. (2022), this study developed a model to calculate the achievable revenue water ratio within the specified project cost, the required project cost to achieve the specified target revenue water ratio, and the economically appropriate target revenue water ratio level by considering the leakage reduction cost and leakage reduction benefit for each revenue water ratio improvement strategy, and conducted an applicability evaluation of the developed model using actual field data. The procedure for calculating the target revenue water ratio of local waterworks considering economics proposed in this study consists of three stages: physical data linkage model construction, leakage component analysis, and economic analysis, and the applicability was evaluated for Zone H with branch type and the Zone M network type. As a result of the application, it was calculated that approximately 32.5 billion won would be required to achieve the target revenue water ratio of 70% in the Zone H, and approximately KRW 10.5 billion would be required to achieve the target revenue water ratio of 75% in the Zone M. If the business scale of Zones H and M was corrected to 10,000 m3/day of water usage, the required project cost for a 1% improvement in the revenue water ratio of Zone H was calculated to be 0.7642 billion won and 0.4715 billion won for Zone M.

Calculation Formula for Shielding Thickness of Direct Shielded Door installed in Treatment Room using a 6 MV X-ray Beam (6 MV X-선 빔을 사용하는 치료실에 설치되는 직접 차폐식 도어의 차폐 두께 계산식)

  • Park, Cheol Seo;Kim, Jong Eon;Kang, Eun Bo
    • Journal of the Korean Society of Radiology
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    • v.14 no.5
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    • pp.545-552
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    • 2020
  • The purpose of this study is to derive a lead thickness calculation formula for direct-shielded doors based on NCRP Report No.151 and IAEA Safety Report Series N0.47. After deriving the dose rate calculation formula for the direct shielded door, this formula was substituted for the lead shielding thickness calculation formula to derive the shielding thickness calculation formula at the door. The lead shielding thickness calculated from the derived direct shielded door shielding thickness calculation formula was about 6% lower than that calculated by the NCRP and IAEA secondary barrier shielding thickness calculation methods. This result is interpreted as meaning that the thickness calculation is more conservative from the NCRP and IAEA secondary barrier shielding thickness calculation methods and fits well for secondary beam shielding. In conclusion, it is thought that the formula for calculating lead shielding thickness of the direct shielded door derived in this study can be usefully used in the shield design of the door.

Solubility Consideration in Performance Analysis of a $CO_2$ Twin Rotary Compressor (오일 용해도를 고려한 $CO_2$ 트윈 로타리 압축기 성능해석)

  • Kim, Woo-Young;Ahn, Jong-Min;Kim, Hyun-Jin;Cho, Sung-Oug
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.19 no.12
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    • pp.842-849
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    • 2007
  • For a $CO_2$ two-stage twin rotary compressor used for heat pump water heater system, changes of $CO_2$ solubility in PAG oil were investigated along the gas passages from the first stage suction to final discharge. Only slight changes in solubility took place in suction chambers for both of the first and second stages, but for compression chambers, solubility variation ranged from 0.115 to 0.136, and from 0.133 to 0.182, respectively for the first and second stages. Calculation of gas flashing in parts of leakage oil flows and of oil contained in control volumes due to solubility changes was conducted and included in gas pressure calculation. For the second stage, gas flashing amounts to around $5%\sim6%$ for most leakage flows. Cooling capacity, compressor input, and COP obtained by calculation were well compared to the experimental results. Effects of operation speed on the compressor performance was also studied: as the shaft speed increased, adiabatic efficiency decreased rapidly due to increased over-compression loss.