• 제목/요약/키워드: Exponential equation

검색결과 392건 처리시간 0.035초

Reconditioning 에 의한 저온저장 감자의 당변화 (Changes in Sugar Content of Potato Stored at Low Temperature During Reconditioning)

  • 김동만;김길환
    • 한국식품과학회지
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    • 제17권5호
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    • pp.326-330
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    • 1985
  • 저온 저장한 감자의 가공적성을 향상시키기 위한 일련의 실험으로 $0^{\circ}C$, $5^{\circ}C$$10^{\circ}C$에서 감자(남작)를 3개월간 저장한 후 $20^{\circ}C$에서 reconditioning을 행하면서 reconditioning기간에 따른 감자의 glucose, fructose 및 sucrose의 함량변화를 조사하였다. 이들 당류중 sucrose가 감자에 다량 함유되어 있었으며 reconditioning기간 경과에 따라 가장 신속하게 그 함량이 감소되었다. 저온 저장한 감자의 reconditioning기간과 환원당 함량의 관계는 지수함수 관계로 나타낼 수 었었으며. 감자의 basal부위가 apical 부위보다 장기간의 reconditioning기간이 소요되었는데 감자부위에 따른 환원당의 함량차이를 고려할때 $0^{\circ}C$, $5^{\circ}C$$10^{\circ}C$에서 저장한 감자의 적정 reconditioning기간은 각각 9.4주, 5.6주 및 1.3주인 것으로 조사되었다.

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지진시 사면파괴의 확률론적 해석 (Probabilistic Analysis of Failure of Soil Slopes during Earthquakes)

  • 김영수;정성관
    • 한국지반공학회지:지반
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    • 제5권1호
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    • pp.27-34
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    • 1989
  • 이 연구는 지진이 일어나는 동안 균질토의 사면에 대한 확률론적 해적이다. 사면의 안정은 전통적인 안전율 보다는 파괴확률로써 측정된다. 최대지반가속도는 Donovan과 McGuire식을 사용하였다 지진크기는 무작위변수로 취급하였으며 이의 확률분포는 Richter의 법칙을 사용하여 얻어진다. 사면의 파괴면은 대수나선곡선으로 고려하였다. 통계적으로 균질한 흙의 사면에서 파괴면을 따라 흙의 전단강도 정수의 불확실정은 1차원 Random Field Model을 사용하여 나타냈으며 확률분포의 평균과 분산은 1차근사해석(wrist-order approximate analysis) 방법으로 계산하였다. 중요한 지진 계수들이 사면의 파괴확률에 미치는 영향에 대하여 검토하였고 그 결과가 그림이나 표에서 보여준다. 이 결과에서 다음과 같은 결론을 얻었다.

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Simplified Noise Modeling of GPS Measurements for a Fast and Reliable Cycle Ambiguity Resolution

  • Park, Byung-Woon;Kee, Chang-Don
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2006년도 International Symposium on GPS/GNSS Vol.1
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    • pp.535-540
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    • 2006
  • The relationship between the observable noise model and the satellite elevation angle can be modeled quite well by an exponential function.[Jin, 1996] Noise size and dependence on the elevation angle are, however, different for each observation and receiver type. Therefore, the coefficient determination of this model is an issue, and various methods including PR-CP, single difference, and time difference have been suggested. The limitations of them are difficulty to model the carrier phase noise and to eliminate bias. To overcome these disadvantages for using Jin's model, we suggest zero baseline double difference (DD) and noise sorting algorithm. Data DD technique in zero baseline is useful to eliminate all the troublesome GPS biases, and the remaining error is the sum of GPS measurement noises from two satellites. These DD residuals for hours should be sorted by the combination of satellite elevation angles, and then variance value of the residual for each combination can be estimated. Using these values, we construct an over-determined linear equation whose solution is a set of noise variance for each satellite elevation angle. With 24hr Trimble 4000ssi data, we easily worked out the coefficients of the noise model not only for pseudorange but also for carrier phase. We estimated the standard deviation of the measurement DD using our model, and plotted 1 and 3 sigma lines for every epoch to verify the representation of the residual error. 63.3% of pseudorange residual and 65.9% of phase error did not exceed the 1 sigma lines. Additionally, 99.2% and 99.5% of them lied within 3sigma line. These figures prove that the Gaussian property of measurement noise, and that the suggested model by our algorithm corresponds to the observable noise information.

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Sodium Diethylene Glycolate (SDEG)에 의한 Polyester 신합섬직물의 감량가공에 관한 연구 (A Study on the Weight Reduction of PET Microfibre Treated with Sodium Diethylene Glycolate (SDEG))

  • Lee, Joo-Hyoung;Kim, Sam-Soo;Huh, Man-Woo;Yoon, Jong-Ho;Cho, Yong-Suk
    • 한국염색가공학회지
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    • 제8권3호
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    • pp.36-51
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    • 1996
  • In order to investigate the degradation behavior of PET fabrics, sodium diethylene glycolate (SDEG)-diethylene glycol (DEG) solutions were prepared and PET fabrics were treated in the solution. The dissolution rate constant and apparent activation energy of the PET fabrics were calculated by Eyring's and Arrhenius's equation respectively and measured dyeing properties, moisture and antistatic properties. Then compared SDEG-treated fabrics with NaOH-treated. The results were as follows; 1. PET fabrics decreased their weight in SDEG-DEG solution, and the decreasing rate showed a linear relationship to the treating time at constant temperature and concentration of SDEG-DEG solution. 2. The dissolution rate constant showed a linear relationship to the concentration of SDEGDEG solution and an exponential relationship to treating temperature. 3. Apparent activation energy of dissolution was 23.45 kcal/mol. 4. The K/S values and the ΔL values of fabrics treated with SDEG-DEG solution are higher and lower respectively than fabrics treated with NaOH. 5. SDEG-DEG solution treatment improved fabric's moisture regain and it reached almost maximum at about 40% weight loss. 6. In the both reagent the light, wet and sublimation fastness of fabrics are similar. 7. SDEG-DEG solution gave more electrical discharge effect to the fabrics than that of NaOH. 8. NaOH treated PET microfiber have crater-like surface, while SDEG-DEG solution give bathochromic effect to the PET microfiber because which has wrinkles on the surface.

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비가림 조건에서 시비에 대한 논담수 중 총질소 및 총인 농도 반응 (Response of Total Nitrogen and Phosphorus Concentrations of Paddy Flooding Water to Fertilization under Rain-shielding Conditions)

  • 정재운;최우정;윤광식;김한용;곽진협;임상선;장남익;허유정
    • 한국관개배수논문집
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    • 제14권1호
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    • pp.57-66
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    • 2007
  • Temporal changes in total nitrogen (T-N) and phosphorus (T-P) concentrations in paddy floodwater in response to fertilization under rain-shielding pot and small-scaled field conditions were investigated. On the basis of the changing patterns, suggestions for the use of fertilization factors, such as days after fertilization, in developing models for the estimation of T-N and T-P loads from paddy fields were made. Total N concentration was susceptible to fertilization, showing a peak concentration right after fertilization followed by a decreasing pattern with the elapse of days after fertilization. The decreasing pattern of T-N concentration followed the first- order kinetics, indicating that the models are likely to be an exponential equation using days after fertilization as an independent variable. Comparison between the pot and field experiments conducted with soils different in soil fertility revealed that indigenous soil N concentration significantly affected T-N concentration, and this suggests that soil N status can be used as the second variable for the models. Meanwhile, temporal changes in T-P concentration did not respond to P fertilization as sensitively as T-N. In combination with other published results, our study suggests that rainfall intensity and other factors associated with farming activities that are likely to cause disturbance of soil particles containing P may be used as possible variables for the models.

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도로 비점오염 해석을 위한 ROADMOD개발 및 적용: 도로청소 효과 분석 (Development and Application of ROADMOD for Analysis of Non-point Source Pollutions from Road: Analysis of Removal Efficiency of Sediment in Road by Sweeping)

  • 강희만;전지홍
    • 한국물환경학회지
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    • 제37권2호
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    • pp.103-113
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    • 2021
  • In this study, an Excel-based model (ROADMOD) was developed to estimate pollutant loading from the road and evaluate BMPs. ROADMOD employs the Chezy-Manning equation and empirical expression for estimating surface runoff, and power function for pollutant buildup, and exponential function for pollutant washoff in SWMM. The results of model calibration for buildup and washoff using observed data revealed a good match between the simulation results and the observed data. The long-term surface runoff and sediment simulated by ROADMOD demonstrated a good match with those by SWMM with 2 ~ 14% of relative error. The shorter sweeping interval (within 8 days) remarkably decreased sediment loads from the road. It was found that the effect of reducing sediment loads from the road was greatly affected not only by the sweeping interval but also by sweeping on the day before a rainfall event. The 48% of removal efficiency of sediment loads from the road was achieved with 26 times of road sweeping per year when sweeping was performed on the day before the rainfall event. A 4-day sweeping interval showed similar removal efficiency (48%) with 96 times of sweeping per year. It is considered that the road sweeping on the day before a rainfall event could maximize the effect of reducing the non-point source pollution from the road with minimization of the number of road sweeping. So, the road sweeping on the day before a rainfall event can be considered as one of the useful and best management practices (BMPs) on road.

Anaerobic codigestion of urban solid waste fresh leachate and domestic wastewaters: Biogas production potential and kinetic

  • Moujanni, Abd-essamad;Qarraey, Imane;Ouatmane, Aaziz
    • Environmental Engineering Research
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    • 제24권1호
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    • pp.38-44
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    • 2019
  • The Biochemical Methane Potential (BMP) of fresh leachate and domestic wastewaters codigestion was determined by laboratory Bach Tests at $35^{\circ}C$ over a period of 90 d using a wide range of leachates volumetric ratios from 0% to 100%. To simulate wastewaters plant treatment step, all the ratios were first air stripped for 48 h before anaerobic incubation. The kinetic of biogas production was assessed using modified Gompertz model and exponential equation. The results obtained showed that cumulative biogas production was insignificant in the case of wastewaters monodigestion while the codigestion significantly improves the BMP. Air stripping pretreatment had positive effect on both ammonium concentration and volatiles fatty acids with reduction up to 75% and 42%, respectively. According to the Modified Gompertz model, the optimal anaerobic co-digestion conditions both in terms of maximal biogas potential, start-up period and maximum daily biogas production rate, could be achieved within large leachate volumetric ratios from 25% to 75% with a maximum BMP value of 438.42 mL/g volatile solid at 50% leachate ratio. The positive effect of codigestion was attributed to a dilution effect of chemical oxygen demand and volatile fatty acid concentrations to optimal range that was between 11.7 to $32.3gO_2/L$ and 2.1 to 7.4 g/L, respectively. These results suggested that the treatment of fresh leachate by their dilution and co digestion at wastewaters treatment plants could be a promising alternative for both energetic and treatment purposes.

일메나이트 중 철의 선택적 염화와 선광된 TiO2의 추가 염화반응에 대한 글로벌 피팅함수 (Global Fitting Functions for Kinetics of Fe-Selective Chlorination in Ilmenite and Successive Chlorination of Beneficiated TiO2)

  • 정동규;원용선;김용하;정은진;송덕용
    • 한국재료학회지
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    • 제29권7호
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    • pp.412-424
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    • 2019
  • Global fitting functions for Fe-selective chlorination in ilmenite($FeTiO_2$) and successive chlorination of beneficiated $TiO_2$ are proposed and validated based on a comparison with experimental data collected from the literature. The Fe-selective chlorination reaction is expressed by the unreacted shrinking core model, which covers the diffusion-controlling step of chlorinated Fe gas that escapes through porous materials of beneficiated $TiO_2$ formed by Fe-selective chlorination, and the chemical reaction-controlling step of the surface reaction of unreacted solid ilmenite. The fitting function is applied for both chemical controlling steps of the unreacted shrinking core model. The validation shows that our fitting function is quite effective to fit with experimental data by minimum and maximum values of determination coefficients of $R^2$ as low as 0.9698 and 0.9988, respectively, for operating parameters such as temperature, $Cl_2$ pressure, carbon ratio and particle size that change comprehensively. The global fitting functions proposed in this study are expressed simply as exponential functions of chlorination rate(X) vs. time(t), and each of them are validated by a single equation for various reaction conditions. There is therefore a certain practical merit for the optimal process design and performance analysis for field engineers of chlorination reactions of ilmenite and $TiO_2$.

공내재하시험을 이용한 암종별 변형계수와 RMR의 상관성 (The Correlation Between RMR and Deformation Modulus by Rock masses using Pressuremeter)

  • 안태봉
    • 한국지반환경공학회 논문집
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    • 제12권1호
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    • pp.5-12
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    • 2011
  • 본 연구에서는 10개 현장에서 실시한 공내재하시험을 통하여 얻은 변형계수와 RMR과의 상관관계를 분석하여 기존에 사용하고 있는 제안식의 적용성을 평가하였다. RMR이 40보다 작은 경우에는 변형계수와 RMR과의 상관관계가 김교원, Aydan, Serafim과 Pereira의 식과 잘 일치하였지만 RMR이 40보다 큰 경우에는 상관관계가 낮았다. 이것은 RMR 분류 시 일축압축강도나 RQD보다 절리의 상태와 절리의 틈새가 상대적으로 가중치가 크기 때문이며 공학자의 개인적 차이뿐만 아니라 암반의 종류와 다른 풍화도 때문에 정성적으로 평가되는 경향이 있기 때문이다. 퇴적암 중 사암은 제안식과 비교적 잘 일치하지만 다른 사암은 분산이 커서 상관관계가 낮다. 본 연구에서는 현장시험결과를 근거로 새로운 지수함수 형태의 식을 제안하였다.

사질토의 미소변형 전단탄성계수에 대한 고결영향 분석 (Analysis of Cementation Effect on Small Strain Shear Modulus of Sand)

  • 이문주;추현욱;최성근;이우진
    • 대한토목학회논문집
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    • 제29권2C호
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    • pp.51-58
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    • 2009
  • 본 연구에서는 챔버에 조성된 미고결, 고결모래에 대한 벤더엘리먼트 시험으로부터 사질토 미소변형 전단탄성계수인 $G_{max}$를 평가하였다. 시험결과, 본 연구에서 사용된 파쇄모래의 $G_{max}$는 기존의 연구에 사용된 자연상태 모래의 $G_{max}$보다 35~50% 작게 평가되었으나, 고결모래의 $G_{max}$는 이전 연구 결과보다 크게 평가되었다. 모래의 $G_{max}$는 고결유발제로 사용된 석고의 함유율에 가장 큰 영향을 받았으며, 석고함유율에 따라 지수적으로 증가하였다. 상대밀도의 증가는 미고결 모래보다 고결모래의 $G_{max}$ 증가에 더 큰 영향을 미치는 것으로 관찰되었으며, 유효연직응력의 증가는 고결모래의 $G_{max}$보다 미고결 모래의 $G_{max}$ 증가에 더 큰 영향을 미쳤다. 이와 같은 영향요인 분석을 바탕으로 고결모래의 $G_{max}$를 간극비, 유효연직구속압 뿐만 아니라 석고함유율에 따른 함수로 표현하였다.