• Title/Summary/Keyword: Empirical formulas

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Theoretical Backgrounds of Basin Concentration Time and Storage Coefficient and Their Empirical Formula (유역 집중시간 및 저류상수의 이론적 배경과 경험식)

  • Lee, Jiho;Yoo, Chulsang;Sin, Jiye
    • Journal of Korea Water Resources Association
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    • v.46 no.2
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    • pp.155-169
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    • 2013
  • This study proposes proper forms of empirical formulas for the concentration time and storage coefficient based on their theoretical backgrounds and evaluates several existing empirical formulas by comparing them with the formula proposed in this study. Additionally, empirical formulas for the concentration time and storage coefficient of the Chungju Dam basin were derived using the forms proposed by considering their theoretical backgrounds, and compared with exiting empirical formulas. The results derived are summarized as follows. (1) The concentration time of a basin is proportional to the square of the main channel length, but inversely proportional to the channel slope, as the flood flow is generally turbulent. (2) The storage coefficient is proportional to the concentration time. (3) The comparison results with existing empirical formulas for the concentration time indicates that the empirical formulas like the Kirpich, Kraven (I), Kraven (II), California DoT, Kerby, SCS, and Morgali & Linsley are in line with the form proposed in this study. Among existing empirical formulas for the storage coefficient, the Clak, Russell, Sabol and Jung are found to be well matched to this study. (4) The application results to Chungju Dam basin indicates that among empirical formulas for the concentration time, the Jung, Yoon, Kraven (I), and Kraven (II) show relatively similar results to the observed in this study, but the Rziha shows abnormal results. Among the empirical formulas for the storage coefficient, the Yoon and Hong, Jung, Lee, and Yoon show somewhat reasonable results, but the Sabol shows abnormal results. In conclusion, the empirical formulas for the concentration time and storage coefficient developed in Korea are found to reflect the basin characteristics of Korea better.

Estimation of Hourly Emission Flux of Asian Dust Using Empirical Formulas in the Source Area (경험식을 이용한 발원지 황사의 시간별 발생량 추정)

  • Moon, Yun-Seob;Lee, Seong-Hwan
    • Journal of Korean Society for Atmospheric Environment
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    • v.25 no.6
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    • pp.539-549
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    • 2009
  • The purpose of this study is to estimate hourly Asian dust emission flux in springtime by using the optimized Weather Research Forecasting model (WRF) in order to accurately predict the horizontal flux of Asian dusts. Asian dust emission flux using 5 empirical formulas such as US EPA, Park and Inn, Wang, The Goddard Chemistry Aerosol Radiation and Transport (GOCART) and Dust Entrainment and Deposition (DEAD) were calculated and compared by using classified land-use types and size distribution at various locations in China and Mongolia together with the hourly meteorological elements of the WRF model. As a result, the empirical formula in US EPA among them, which was considered the various conditions such as vegetation, soil type and terrain, was better than the other 4 empirical formulas. However, these formulas were adjusted hourly and vertically in time and space because there was different order and time resolution of dust emissions from original empirical formulas.

Empirical formulas to estimate cable tension by cable fundamental frequency

  • Ren, Wei-Xin;Chen, Gang;Hu, Wei-Hua
    • Structural Engineering and Mechanics
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    • v.20 no.3
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    • pp.363-380
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    • 2005
  • The cable tension plays an important role in the construction, assessment and long-term health monitoring of cable structures. The cable vibration equation is nonlinear if cable sag and bending stiffness are included. The engineering implementation of a vibration-based cable tension evaluation is mostly carried out by the simple taut string theory. However, the simple theory may cause unacceptable errors in many applications since the cable sag and bending stiffness are ignored. From the practical point of view, it is necessary to have empirical formulas if they are simple and yet accurate. Based on the solutions by means of energy method and fitting the exact solutions of cable vibration equations where the cable sag and bending stiffness are respectively taken into account, the empirical formulas are proposed in the paper to estimate cable tension based on the cable fundamental frequency only. The applicability of the proposed formulas is verified by comparing the results with those reported in the literatures and with the experimental results carried out on the stay cables in the laboratory. The proposed formulas are straightforward and they are convenient for practical engineers to fast estimate the cable tension by the cable fundamental frequency.

A Study on the Externally Applicable Formula of Eminent Doctor Heo Im ("사의경험방(四醫經驗方)"중 허임(許任) 경험방(經驗方)의 추출과 외치법(外治法) 분석)

  • Oh, Jun-Ho;Park, Sang-Young;Ahn, Samuel;Kwon, Oh-Min;Ahn, Sang-Woo
    • Korean Journal of Acupuncture
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    • v.27 no.3
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    • pp.79-95
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    • 2010
  • Objective : In this study, we try to identify the herbal formulated by Heo Im from Kyeongheombang(經驗方), and investigate its medical property. Method : Those articles referenced from Heo Im's herbal formulas in "Sauikyeongheombang(四醫經驗方)" were extracted and results were quantitatively analyzed. From extracted empirical formulas, those categorized as externally applicable formulas were grouped by several standards and their medical significance was analyzed. Results and Conclusions : 85 and 66 articles were designated to be referred from Heo(許) in "Sauikyeongheombang" and "Uibanghapbu(醫方合部)" in each category, and 263 and 155 were identified to be Heo Im formulas, respectively. Externally applicable formulas in Heo Im's empirical recipes have following characteristics. First, various methods were used by Heo Im. Second, Heo Im's empirical formulas suggest useful clinical information maximizing therapeutic effect, which is of much value, originated from his practical experiences as a clinician. Third, Heo Im's therapy favorably succeeds the tradition of Hyangyak-medicine and Empirical -medicine. From this information, Heo Im is thought to have had rich insight and experience, not only in acupuncture but also in the prescription of herbal formulas at those days.

Simplified formulas for evaluation of across-wind dynamic responses of rectangular tall buildings

  • Liang, Shuguo;Li, Q.S.;Zou, Lianghao;Wu, J.R.
    • Wind and Structures
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    • v.8 no.3
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    • pp.197-212
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    • 2005
  • Tall buildings under wind action usually oscillate simultaneously in the along-wind and across-wind directions as well as in torsional modes. While several procedures have been developed for predicting wind-induced loads and responses in along-wind direction, accurate analytical methods for estimating across-wind and torsional response have not been possible yet. Simplified empirical formulas for estimation of the across-wind dynamic responses of rectangular tall buildings are presented in this paper. Unlike established empirical formulas in codifications, the formulas proposed in this paper are developed based on simultaneous pressure measurements from a series of tall building models with various side and aspect ratios in a boundary layer wind tunnel. Comparisons of the across-wind responses determined by the proposed formulas and the results obtained from the wind tunnel tests as well as those estimated by two well-known wind loading codes are made to examine the applicability and accuracy of the proposed simplified formulas. It is shown through the comparisons that the proposed simplified formulas can be served as an alternative and useful tool for the design and analysis of wind effects on rectangular tall buildings.

Analysis of Co-relationship between Rock Mass Grade by RMR and Estimation Method of Rock Deformation Modulus by Suggested Formulas (RMR 분류에 의한 암반등급과 제안식에 의한 암반 변형계수 추정기법의 상관관계 분석)

  • Do, Jongnam;Lee, Jinkyu;Chun, Byungsik
    • Journal of the Korean GEO-environmental Society
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    • v.13 no.4
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    • pp.13-26
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    • 2012
  • The deformation modulus of rock masses is a very important design factor for the computation of stability of tunnels and their support systems. Several empirical formulas to estimate the deformation modulus using simple rock classification methods such as RQD or RMR are widely used because field tests to evaluate the deformation modulus are very expensive and time consuming work. However, these formulas can be depended on experiences from the characteristics of local sites in each country. So it is possible that there might be limitations to estimate appropriate deformation modulus in South Korea using the empirical formulas. Therefore, in this study, the applicability of empirical formulas was analyzed by comparing estimated value with the measured value from eight sites in South Korea. The results show that the estimated value based on the empirical formulas partially have tendency to overestimate. Especially, in case of sedimentary rocks, it was too difficult to apply to the empirical formulas because there was no relation ship between estimated value and measured value. For these reasons, additional data from many tests and accurate analyses are necessary to evaluate the estimation method for the deformation modulus considering the local characteristics of rock masses.

Time domain simulation for icebreaking and turning capability of bow-first icebreaking models in level ice

  • Ko, Donghyeong;Park, Kyung-Duk;Ahn, Kyoungsoo
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.3
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    • pp.228-234
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    • 2016
  • Recent icebreaking ships need to be designed to enhance not only icebreaking capability but also turning ability. For the evaluation of ice resistance induced by an icebreaking hull form, HHI (Hyundai Heavy Industries) has developed the hybrid empirical formulas (Park et al., 2015) by considering the geometrical hull shape features, such as waterline and underwater sections. However, the empirical formulas have inherent limits to the precise estimation of the icebreaking and turning ability because the breaking process and the resulting pattern are ignored. For this reason, numerical calculation in time domain is performed to predict the icebreaking process and pattern. In the simulation, varying crushing stress according to velocity vectors and contact areas between hull and ice is newly introduced. Moreover, the simulation results were verified by comparing them with the model test results for three different bow-first icebreaking models.

Review: Development of Numencal Wave Flume CABMAS-SURF (SUper Roiler Flume for Computer Aided Design of MAritime Structure)

  • Fujima, Koji
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2002.08a
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    • pp.1-13
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    • 2002
  • For design of maritime structure, it is necessary to evaluate the effect and stability of the structure against wave action. Laboratory model experiments and their empirical formulas are mainly used to estimate those at present, although empirical formulas have a problem of accuracy and hydraulic experiments of cost and duration. In addition, performance-based design, which may be popularized as a new design concept in the near future, requires much more information than that obtained by empirical formulas and laboratory tests. Thus, numerical simulation may become more important hereafter for structure design. (omitted)

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Across-wind dynamic loads on L-shaped tall buildings

  • Li, Yi;Li, Qiu-Sheng
    • Wind and Structures
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    • v.23 no.5
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    • pp.385-403
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    • 2016
  • The across-wind dynamic loads on L-shaped tall buildings with various geometric dimensions were investigated through a series of wind tunnel testing. The lift coefficients, power spectral densities and vertical correlation coefficients of the across-wind loads were analyzed and discussed in details. Taking the side ratio and terrain category as key variables, empirical formulas for estimating the across-wind dynamic loads on L-shaped tall buildings were proposed on the basis of the wind tunnel testing results. Comparisons between the predictions by the empirical formulas and the wind tunnel test results were made to verify the accuracy and applicability of the proposed formulas. Moreover, a simplified procedure to evaluate the across-wind dynamic loads on L-shaped tall buildings was derived from the proposed formulas. This study aims to provide a simple and reliable way for the estimation of across-wind dynamic loads on L-shaped tall buildings.

The Evaluation for Estimation Method of Deformation Modulus of Rock Mass Using RMR System (RMR을 이용한 암반의 주요 변형계수 추정식의 적용성 평가)

  • Chun, Byung-Sik;Lee, Yong-Jae;Jung, Sang-Hoon
    • Journal of the Korean GEO-environmental Society
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    • v.7 no.2
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    • pp.25-32
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    • 2006
  • The deformation modulus of rock masse is a very important design factor for the computation of stability of tunnels and their support systems. Several empirical formulas to estimate the deformation modulus using simple rock classification methods such as RQD or RMR are widely used because field tests to evaluate the deformation modulus are very expensive and time consuming work. However, these formulas can be depended on experiences from the characteristics of local sites in each country. Therefore, in this study, the applicability of empirical formulas was analyzed by comparing estimated value with the measured value from eight sites in South Korea. The results show that the estimated value based on the empirical formulas partially have tendency to overestimate. Especially, in case of sedimentary rocks, it was too difficult to apply to the empirical formulas because there was no relationship between estimated value and measured value. For these reasons, additional data from many tests and accurate analyses are necessary to evaluate the estimation method for the deformation modulus considering the local characteristics of rock masse.

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