• Title/Summary/Keyword: Predicting equation

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Comparison of Turbulence Models in Shock-Wave/ Boundary- Layer Interaction

  • Kim, Sang-Dug;Kwon, Chang-Oh;Song, Dong-Joo
    • Journal of Mechanical Science and Technology
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    • v.18 no.1
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    • pp.153-166
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    • 2004
  • This paper presents a comparative study of a fully coupled, upwind, compressible Navier-Stokes code with three two-equation models and the Baldwin-Lomax algebraic model in predicting transonic/supersonic flow. The k-$\varepsilon$ turbulence model of Abe performed well in predicting the pressure distributions and the velocity profiles near the flow separation over the axisymmetric bump, even though there were some discrepancies with the experimental data in the shear-stress distributions. Additionally, it is noted that this model has y$\^$*/ in damping functions instead of y$\^$+/. The turbulence model of Abe and Wilcox showed better agreements in skin friction coefficient distribution with the experimental data than the other models did for a supersonic compression ramp problem. Wilcox's model seems to be more reliable than the other models in terms of numerical stability. The two-equation models revealed that the redevelopment of the boundary layer was somewhat slow downstream of the reattachment portion.

Evaluation of the equation for predicting dry matter intake of lactating dairy cows in the Korean feeding standards for dairy cattle

  • Lee, Mingyung;Lee, Junsung;Jeon, Seoyoung;Park, Seong-Min;Ki, Kwang-Seok;Seo, Seongwon
    • Animal Bioscience
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    • v.34 no.10
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    • pp.1623-1631
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    • 2021
  • Objective: This study aimed to validate and evaluate the dry matter (DM) intake prediction model of the Korean feeding standards for dairy cattle (KFSD). Methods: The KFSD DM intake (DMI) model was developed using a database containing the data from the Journal of Dairy Science from 2006 to 2011 (1,065 observations 287 studies). The development (458 observations from 103 studies) and evaluation databases (168 observations from 74 studies) were constructed from the database. The body weight (kg; BW), metabolic BW (BW0.75, MBW), 4% fat-corrected milk (FCM), forage as a percentage of dietary DM, and the dietary content of nutrients (% DM) were chosen as possible explanatory variables. A random coefficient model with the study as a random variable and a linear model without the random effect was used to select model variables and estimate parameters, respectively, during the model development. The best-fit equation was compared to published equations, and sensitivity analysis of the prediction equation was conducted. The KFSD model was also evaluated using in vivo feeding trial data. Results: The KFSD DMI equation is 4.103 (±2.994)+0.112 (±0.022)×MBW+0.284 (±0.020)×FCM-0.119 (±0.028)×neutral detergent fiber (NDF), explaining 47% of the variation in the evaluation dataset with no mean nor slope bias (p>0.05). The root mean square prediction error was 2.70 kg/d, best among the tested equations. The sensitivity analysis showed that the model is the most sensitive to FCM, followed by MBW and NDF. With the in vivo data, the KFSD equation showed slightly higher precision (R2 = 0.39) than the NRC equation (R2 = 0.37), with a mean bias of 1.19 kg and no slope bias (p>0.05). Conclusion: The KFSD DMI model is suitable for predicting the DMI of lactating dairy cows in practical situations in Korea.

A hybrid method for predicting the dynamic response of free-span submarine pipelines

  • Li, Tongtong;Duan, Menglan;Liang, Wei;An, Chen
    • Ocean Systems Engineering
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    • v.6 no.4
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    • pp.363-375
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    • 2016
  • Large numbers of submarine pipelines are laid as the world now is attaching great importance to offshore oil exploitation. Free spanning of submarine pipelines may be caused by seabed unevenness, change of topology, artificial supports, etc. By combining Iwan's wake oscillator model with the differential equation which describes the vibration behavior of free-span submarine pipelines, the pipe-fluid coupling equation is developed and solved in order to study the effect of both internal and external fluid on the vibration behavior of free-span submarine pipelines. Through generalized integral transform technique (GITT), the governing equation describing the transverse displacement is transformed into a system of second-order ordinary differential equations (ODEs) in temporal variable, eliminating the spatial variable. The MATHEMATICA built-in function NDSolve is then used to numerically solve the transformed ODE system. The good convergence of the eigenfunction expansions proved that this method is applicable for predicting the dynamic response of free-span pipelines subjected to both internal flow and external current.

Development of a Supporting System for Nutrient Solution Management in Hydroponics I. Fertilizer Combination and Electrical Conductivity(EC) Prediction (양액재배를 위한 배양액관리 지원시스템의 개발 I. 배양액의 배합 및 전기전도도(EC)의 예측)

  • 손정익;김문기
    • Journal of Bio-Environment Control
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    • v.1 no.1
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    • pp.52-60
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    • 1992
  • The optimum management of nutrient solution needs the effective combination of fertilizers as well as the accurate control of nutrient solution. This study was attempt to make a supporting system for effective fertilizer combination by using computer and also to develop a EC predicting equation for keeping the EC of solution within the allowable range after application of combined fertilizers. The supporting system consists of three parts : (1) data bases, (2) rules for deciding the kinds and amounts of fertilizers and (3) main control. With input data, the main control automatically constructs the network connecting the related data bases and subsequently executes the operation of searching proper fertilizers through it. For more effective searching, fertilizers are classified into two levels(level 1 and level 2) in consideration of solubility, price, and frequency in use, and searched in that order. The EC prediction equation, a extended form of the Robinson and Stroke's theoretical equation only available for a binary electrolyte, is suggested for predicting the EC of the nutrient solution containing many kinds of inorganic compounds. The comparison of predicted and measured ECs showed good agreements with the high correlation between the predicted EC decrement by ion interaction and the actual one(limiting EC minus measured EC).

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The Measurement and Estimation of Lower Flash Points for n-Propanol+Acetic acid and n-Propanol+n-Propionic Systems (n-Propanol+acetic acid 및 n-propanol+n-propionic acid 계의 하부 인하점 측정 및 예측)

  • Ha, Dong-Myeong;Lee, Sung-Jin
    • Journal of the Korean Society of Safety
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    • v.22 no.4
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    • pp.37-42
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    • 2007
  • Flash points for the flammable binary systems, n-propanol+acetic acid and n-propanol+n-propionic acid, were measured by Cleveland open cup tester. The Raoult's law, the van Laar equation and the UNIQUAC equation were used for predicting flash points and were compared with experimentally-derived data. The calculated values based on the van Laar and UNIQUAC equations were found to be better than those based on the Raoult's law. And the predictive curve of the flash point prediction model based on the UNIQUAC equation described the experimentally-derived data more effectively than was the case when the prediction model was based upon the the van Laar equation.

A Consolidation Settlement Prediction Considering Primary and Secondary Consolidation (1차와 2차 침하를 고려한 압밀침하량 예측)

  • Lee, Dal-Won;Jeong, Seong-Gyu
    • Journal of The Korean Society of Agricultural Engineers
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    • v.47 no.1
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    • pp.61-68
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    • 2005
  • In this study, it was proposed that an equation for predicting consolidation settlement on soft clay ground, which separate total settlement into primary and secondary consolidation settlement equation. The consolidation settlements by the proposed equation and by the measured settlements from laboratory model test were compared and verified for its application. It was appeared that the proposed equation from the laboratory model test approach to be more realistic comparing to !the result of Terzaghi's equation. From the above application, it was concluded that the final settlement prediction by. the Hyperbolic, Asaoka methods is needed to the initial settlement but the proposed equation could be much applicable in the lacking condition of measured data of the initial period.

A Proposal for Predicting the Compressive Strength of Ultra-high Performance Concrete Using Equivalent Age (등가재령을 활용한 초고성능 콘크리트의 압축강도 예측식 제안)

  • Baek, Sung-Jin;Park. Jae-Woong;Han Jun-Hui;Kim, Jong;Han, Min-Cheol
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2023.11a
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    • pp.149-150
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    • 2023
  • This study proposes the most suitable strength prediction model equation for UHPC by calculating the apparent activation energy of UHPC according to the curing temperature and deriving the integrated temperature and compressive strength prediction equation. The results are summarized as follows. The apparent activation energy was calculated using the Arrhenius function, which was calculated as 21.09 KJ/mol. A model equation suitable for UHPC was calculated, and when the Flowman model equation was used, it was confirmed that it was suitable for the properties of UHPC using a condensation promoting super plasticizing agent.

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Development of Stem Profile and Taper Equation for Quercus acuta in Jeju Experiment Forests (제주시험림의 붉가시나무 수간형태와 수간곡선식 추정)

  • Chung, Young-Gyo;Kim, Dae-Hyun;Kim, Cheol-Min
    • Journal of Korean Society of Forest Science
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    • v.99 no.1
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    • pp.57-61
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    • 2010
  • Data with collected from 278 trees sampled through out the climatic range of Quercus acuta in Jeju Experiment Forests. The models tested to select the best-fit equations form the Max & Burkhart's model, Kozak's model, and Lee's model. Performance of the equations in predicting of residuals on predicted values. In result, all three models gave slightly better values of fit statistics. In plotting residuals against predicted diameter, Max & Burkhart's model showed underestimation in predicting small diameter and Lee's Model did the same in predicting small diameter. Based on the above analysis of three models in predicting stem taper, Kozak's model was chosen for the best-fit stem taper equations, and its parameter estimates was given for Quercus acuta. Kozak's model was used to develop a stem volume table outside bark for Quercus acuta.

A Proposal of an Elastic Modulus Equation for High-Strength and Ultra High-Strength Concrete

  • Jang, II-Young;Park, Hoon-Kyu;Yoon, Young-Soo
    • International Journal of Concrete Structures and Materials
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    • v.18 no.1E
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    • pp.43-48
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    • 2006
  • This paper presents an elastic modulus equation more appropriate for predicting the elastic modulus of structural materials designed for and made of high- and ultra high-strength concrete under current domestic situation in Korea. In order to validate and assess the proposed elastic modulus equation, more than 400 laboratory test data available in the domestic literature on compressive strength of concrete in the range between 400 to 1,000 $kgf/cm^2$ were used and analyzed statistically. Comparison analyses of the proposed elastic modulus equation with previously suggested equations of ACI363R, CEB-FIP, NS3473 and New-RC are also presented to demonstrate its applicability in domestic practice.

A Corresponding State Theory for the Viscosity of Liquids

  • Kim, Won-Soo;Lee, Suk-Bae
    • Bulletin of the Korean Chemical Society
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    • v.29 no.1
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    • pp.33-37
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    • 2008
  • A phenomenological theory of viscosity previously proposed by the present authors8 is applied to the corresponding state theory for the viscosity of liquid. Through the process of the formulation of the corresponding state equation, we can find the simple viscosity equation with no parameters in a reduced form. The liquid viscosities of various substances can be calculated using this equation when we know only the values of the molecular weight and critical constant of substances. A corresponding state equation for the viscosity of liquid from this theory may be applicable to predicting viscosities of various substances under varying temperature and pressure. As a result, this equation may be widely applied to chemical engineering.