• Title/Summary/Keyword: Empirical formula

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Analysis of Monoterpene Concentration Characteristics and Development of an Empirical Formula for Monoterpene in the Mixed Forest of the National Center for Forest Therapy (국립산림치유원 혼효림에서의 모노테르펜 농도 특성 분석 및 추정식 개발)

  • Hyo-Jung Lee;Young-Hee Lee
    • Atmosphere
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    • v.34 no.2
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    • pp.187-202
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    • 2024
  • We analyzed the observed characteristics of monoterpene and developed an empirical formula for monoterpene concentration in the pine-dominated mixed forest of the National Center for Forest Therapy. Monoterpene was measured at 0800, 1200 and 1700 LST once a month using sorbent tube sampling coupled with thermal desorption gas chromatography and mass spectrometry. Monoterpene concentration is low in winter and shows a maximum in June and July. The major components of monoterpene are alpha-pinene, camphene and beta-pinene. During the warm period from May to November, monoterpene concentration is higher at 0800 and 1700 LST than at 1200 LST. The empirical formula takes into account the vegetation variables, temperature-controlled emission, oxidation processes and dilution by wind. The vegetation variable accounts for the difference in observed monoterpene concentration between two sites. The observed monoterpene concentration normalized by the vegetation variable increases exponentially with air temperature. The oxidation process explains the lower monoterpene concentration at 1200 LST than at 0800 and 1700 LST during the warm period. The monoterpene estimates using the empirical formula shows a correlation of 0.52 with the observation for the development period (2018~2020), while it shows a correlation of 0.72 for the validation year (2021). Such higher correlation for the validation year than for the development period is due to the fact that variability of monoterpene concentration is better explained by air temperature in 2021 than in the development period. However, the developed formula underestimates the monoterpene concentration in May and June, showing the limitation in accurately capturing the monthly variation of monoterpene.

Derivation of Empirical Erosion Equation of the 40 mm Long Hollow Cylinder (40 mm 장축공동실린더의 마모경험식 유도)

  • Chung, Dong-Yoon;Oh, Myoung-Ho;Shin, Nae-Ho
    • Tribology and Lubricants
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    • v.25 no.3
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    • pp.171-175
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    • 2009
  • One of the critical issues associated with the 40mm long hollow cylinder's development and maintenance is the prediction of cylinder erosion. The actual firing test is the most accurate method to measure the cylinder erosion rate. But it costs a great deal and requires a long measurement time. Hence many empirical methods have been proposed to predict the erosion rate and life span of long hollow cylinders. An EFC formula is calculated. An approximate erosion formula for the ammunition type A is derived to interpolate 16 observation values up to 4,000 rounds. A new erosion equation and muzzle velocity formula are also suggested. Several numerical results are presented.

A study on (n, α) reaction cross sections using a new empirical systematic

  • Sema Kucuksucu;Mustafa Yigit
    • Nuclear Engineering and Technology
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    • v.55 no.11
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    • pp.4026-4031
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    • 2023
  • In this article, we report a new empirical formula for quick calculation of cross sections of (n, α) reactions with 14-15 MeV neutrons. Cross sections are analysed in terms of the compound nucleus model. A systematic trend for 14-15 MeV neutrons is found in the variation of (n, α) reaction cross sections with the parameters (N - Z + 1), (En + Q)0.5 and N/Z. The empirical relation between the cross sections and these parameters has been obtained, which give fairly good fits with the experimental data. We have also investigated the odd-even effects on (n, α) cross sections considering binding energy systematic of the shell model. The present formula is very useful in predicting of the (n, α) cross sections, where the measurements are not available as well as in testing new experimental data.

Study on the Frictional Torque in the Angular Contact Ball Bearing for Machine Tool Spindle by Empirical Formula (실험식을 이용한 공작기계 주축용 앵귤러 콘택트 볼 베어링의 마찰토크에 관한 연구)

  • Kim, Kang Seok;Hwang, Jooho;Lee, Deug Woo;Lee, Sang Min;Lee, Seung Jun
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.2
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    • pp.149-157
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    • 2015
  • Ball and roller bearings are commonly used machine elements for supporting rotating motion about shafts in simple devices including bicycles, in-line skates, and electric motors, as well as in complex machines. Heat is generated by the friction in the bearings, which causes the temperature inside the bearing to increase. If the heat is not appropriately removed from the bearing, elevated temperatures may give rise to premature failure. It is, therefore, important to be able to calculate the temperature in the bearings due to friction.Here, we describe a method to estimate the frictional torque in bearings using an empirical formula developed using a method based on bearing analysis tool and the measured frictional torque in a spindle system. Thermal analysis of the spindle system including the bearings was achieved using the finite element method (FEM), and the bearing temperature was compared with measured data to verify the empirical formula.

A Study of Nonstoichiometric Empirical Formulas for Semiconductive Metal Oxides

  • Kim, Kyung-Sun;Lee, Kwan-Hee;Cho, Ung-In;Choi, Jae-Shi
    • Bulletin of the Korean Chemical Society
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    • v.7 no.1
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    • pp.29-35
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    • 1986
  • An empirical formula for semiconductive metal oxides is proposed relating nonstoichiometric value x to a temperature or an oxygen partial pressure such that experimental data can be represented more accurately by the formula than by the well-known Arrhenius-type equation. The proposed empirical formula is log x = A + $B{\cdot}1000/T\;+\;C{\cdot}$exp$(-D{\cdot}1000/T)$ for a temperature dependence and $log\;{\times}\;=a\;+b{\cdot}log\;Po_2\;+\;c{\cdot}$exp$(-d{\cdot}log\;Po_2)$ for an oxygen partial pressure dependence. The A, B, C, D and a, b, c, d are parameters which are evaluated by means of a best-fitting method to experimental data. Subsequently, this empirical formula has been applied to the n-type metal oxides of $Zn_{1+x}O,\; Cd_{1+x}O,\;and\;PrO_{1.8003-x}$, and the p-type metal oxides of $CoO_{1+x},\; FeO_{1+x},\;and\;Cu_2O_{1+x}$. It gives a very good agreement with the experimental data through the best-fitted parameters within 6% of relative error. It is also possible to explain approximately qualitative characters of the parameters A, B, C, D and a, b, c, d from theoretical bases.

Experimental Study for Wave Transmission Coefficients of Submerged Structure : I. Permeable Type Structure (수중구조물의 파고전달계수 산정 실험 : I. 투과형 수중구조물)

  • Lee, Jong-In;Bae, Il Rho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.40 no.5
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    • pp.485-496
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    • 2020
  • Submerged structures such as low-crested breakwaters and artificial reefs have been commonly used for coastal protection. In this study, two-dimensional laboratory experiments were conducted in a wave flume to investigate the wave transmission phenomena of permeable type submerged structures armored by Tetrapods. Different cases of the experimental conditions were included by relative crest depth, relative freeboard, relative crest width, wave steepness and so on. An empirical formula from the experimental data was proposed to predict the wave transmission coefficients over various specifications and structural designs of the permeable type submerged structure. The proposed formula successfully predicted the wave transmission coefficients. In this study, the proposed empirical formula of the wave transmission over the submerged structure was improved from the existing formula.

Experimental Study on Wave Transmission Coefficients of Submerged Structure : II. Rubble-Mound Type Structure armored by Tetrapods (수중구조물의 파고전달계수 산정 실험 : II. 테트라포드 피복 경사형 수중구조물)

  • Lee, Jong-In;Kim, Young Il
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.40 no.5
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    • pp.497-507
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    • 2020
  • Two-dimensional laboratory experiments were conducted in a wave flume to investigate the wave transmission phenomena of rubble-mound type submerged structures armored with Tetrapods. Different experimental conditions were included by considering relative crest depth, relative freeboard, relative crest width, wave steepness, and so on. An empirical formula was proposed to predict the wave transmission coefficients over various specifications and structural designs of the partial perforated (rubble-mound) type submerged structure from the experimental results. The proposed formula successfully predicted the wave transmission coefficients. In this study, the proposed empirical formula of the wave transmission over the rubble-mound type submerged structure was improved from the existing formula.

An Experimental Analysis for the Stability Investigation of Slope on Saemangeum Lake Dykes (새만금 방수제 축조사면의 안정성 검토를 위한 실험적 분석)

  • Jang, Dong-Gi;Kim, Ki-Nyun;Kim, Dong-Hwan;Seo, Kwan-Seok;Son, Moon-Joon
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09a
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    • pp.687-697
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    • 2010
  • This study was designed to carry out studies on critical seepage velocity and critical hydraulic gradient using a piping test targeting SM and ML which are widely distributed ahead of and behind the depth of E.L(-)10m in Saemangeum area in order to examine stability of embankment built on the ground vulnerable to piping. The effects of relative densities on critical hydraulic gradient and critical velocity were also compared and analyzed using empirical formula and theoretical formula, and relative densities were set up as respectively 9%, 25%, 50%, and 75% for this experiment. As a result, for critical hydraulic gradient, most of specimens detected piping at lower values than the empirical formula of Terzaghi(1922). It is, therefore, considered that the empirical formula devised by Kalin(1977) or Hayashi(1978) is more reasonable to be conservative. It was also found that critical velocity decreased as relative density increased, and critical velocity predicted was mostly lower than the theoretical formula.

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Experimental Study on Wave Transmission Coefficients of Submerged Structures: III. Impermeable-Type Structure (수중구조물의 파고전달계수 산정 실험 : III. 불투과형 수중구조물)

  • Lee, Jong-In;Cho, Ji Hoon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.40 no.6
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    • pp.593-601
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    • 2020
  • Two-dimensional laboratory experiments were conducted in a wave flume to investigate the wave transmission phenomena of impermeable-type submerged structures armored by concrete blocks. Different experimental conditions were included by considering relative crest depth, relative freeboard, relative crest width, wave steepness, and so on. An empirical formula was proposed to predict the wave transmission coefficients over various specifications and structural designs of the impermeable submerged structure from the experimental results. The proposed formula successfully predicted the wave transmission coefficients. Therefore, in this study, the proposed empirical formula of the wave transmission over an impermeable submerged structure was improved from the existing formula.

Impedance Analysis of Ship Equipment Foundation and Its Verification (선박용 장비받침대의 임피던스 해석 및 검증)

  • Lee, Doo-Ho;Kim, Bong-Ki;Byun, Joung-Woo;Kim, Hyun-Sil
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.5
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    • pp.393-399
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    • 2011
  • An empirical formula proposed by Petersson and Plunt(PP's formula) and finite element analysis for impedance calculation of ship equipment foundations are investigated by comparing the analysis results with those of experimental results. The PP's formula well estimates resonant frequency of the foundations and impedance level except around the resonant region although the impedance level around the resonant frequency is heavily dependent upon the assumed loss factor. The results show that the PP's formula and finite element models can be complementarily used to estimate the impedance characteristics of various types of foundation of ships in design stage.