Huff Method Research Articles

A Temporal Distribution Method of Probable Rainfall for Planning a Storm Sewer Network in an Urban Area

Recently, rainfall runoff models have been introduced for planning a storm sewer network in an urban areas because they can calculate the flood hydrograph as well as peak flow. This would solve the flood problem for the entire watershed. While a rainfall hyetograph is an essential input to a rainfall-runoff model, there is no proper guideline for an urban area on how to obtain a rainfall hyetograph from a temporal distribution of probable rainfall. The purpose of this study is to suggest an appropriate method for temporal distribution of probable rainfall for a storm sewer network. Thus, Huff’s quartile method, which is widely used in practice, and the alternating block method (ABM), which is known to be reasonable for planning medium- or small-scale drainage facilities, were compared. The two estimation results were used for the comparison: the probable rainfall amounts by duration; the peak flows from arbitrary watersheds. The results showed that the ABM was more appropriate than the Huff method from three perspectives: reproducibility of actual rainfall phenomena, accuracy of peak flow estimates for small drainage areas in urban regions, and consideration of continuity for the storm sewer network. These results may contribute to enhance planning methods for a storm sewer network in urban areas. Keywords: Temporal Distribution, Rainfall, Storm Sewer Network, ABM, Huff

Analysis of the Temporal Distribution of Rainfall Using the Heavy Storm Distribution Method Reflecting Concentrated Duration Characteristics in Busan

In this study, we proposed and analyzed a rainfall temporal distribution model for determining the flood discharge of a hydraulic structure. The heavy storm distribution (HSD) method proposed in this study can generate the temporal distribution of rainfall more suitably than existing techniques by reflecting the concentrated duration characteristics of extreme rainfall events. Here, the concentration duration means a time period in which rainfall comprises 70% to 80% of the total duration of an extreme rainfall event, and the concentrated duration of 24 h heavy rainfall is about 3 h. For the application of the HSD method, extreme rainfall events were selected using actual rainfall data from Busan, and the characteristics of the concentrated duration were analyzed. Through this, the type of HSD in Busan was determined and the temporal distribution of rainfall was produced. In addition, we compared this method with the Huff method, Yen and Chow method, Mononobe method, and SCS method. As a result, the HSD method proposed in this study better reflected the intensive duration characteristics of extreme rainfall events compared to existing methods. Keywords: Rainfall Time Distribution, HSD, Huff, Concentrated Duration

극치강우사상의 시간변동 특성을 고려한 강우시간 분포 개발

본 연구에서는 빈도분석을 이용하여 획득한 확률강우량의 시간분포를 결정할 때 극치강우사상의 시간분포 특성을 반영하는 강우시간 분포 방법을 제시하였다. 극치강우사상에 대하여 강우집중시간과 강우집중시간 동안 발생하는 강우량의 총강우량 대비 비율을 분석하여 설계강우량에 대한 강우시간분포를 구성하였다. 개발된 강우시간분포의 적용성을 검증하기 위하여 서울지점에 대하여 기존의 방법인 Huff 방법과 Yen & Chow 방법 및 SCS방법의 결과와 비교 분석하였다. 일반적인 강우시간분포 방법인 Huff 방법과 Yen & Chow 방법은 극치강우사상의 시간분포 특성을 반영하기에는 너무 평활화하는 한계를 보였다. SCS방법의 경우 강우분포가 지나치게 중앙집중 되는 단점을 보였다. 본 연구에서 제시한 방법에 따른 강우시간분포는 실제 극치강우사상의 시간분포특성을 잘 반영하는 것으로 판단된다. In this study, a new approach to design the time distribution of probable rainfall is suggested to reflect the characteristics of the temporal variability of extreme rainfall events. Time of rainfall concentration and quantile characteristics of the intense rainfall period are analyzed to form the time distribution of designed storms. The developed approach was applied for Seoul to verify its applicability with Huff method, Yen & Chow method, and SCS method. Traditional approaches have limitations that the temporal distributions of rainfall using Huff method and the Yen & Chow method are too smooth to reflect extreme storms. The temporal distributions of rainfall using the SCS method is over concentrated at center. The suggested method demonstrated that it illustrated well of the characteristics of time distribution of extreme rainfall events.

집중호우 사상을 고려한 Huff의 4분위법 개선방안

집중호우 사상을 고려한 Huff의 4분위법 개선방안

Inter-Event Time Definition Setting Procedure for Urban Drainage Systems

Traditional inter-event time definition (IETD) estimate methodologies generally take into account only rainfall characteristics and not drainage basin characteristics. Therefore, they may not succeed in providing an appropriate value of IETD for any sort of application to the design of urban drainage system devices. To overcome this limitation, this study presents a method of IETD determination that considers basin characteristics. The suggested definition of IETD is the time period from the end of a rainfall event to the end of a direct runoff. The suggested method can identify the independent events that are suitable for the statistical analysis of the recorded rainfall. Using the suggested IETD, the IETD of the Joong-Rang drainage system was determined and the area-IETD relation curve was drawn. The resulting regression curve can be used to determinate the IETD of ungauged urban drainage systems, with areas ranging between 40 and 4400 ha. Using the regression curve, the IETDs and time distribution of the design rainfall for four drainage systems in Korea were determined and rainfall-runoff simulations were performed with the Storm Water Management Model (SWMM). The results were compared with those from Huff's method which assumed a six-hour IETD. The peak flow rates obtained by the suggested method were 11%~15% greater than those obtained by Huff’s method. The suggested IETD determination method can identify independent events that are suitable for the statistical analysis of the recorded rainfall aimed at the design of urban drainage system devices.

강우사상의 영향을 고려한 불포화 풍화사면의 안정성

사면안정 해석 시, 사면파괴의 주원인인 강우사상의 현실적 접목을 위하여 본 연구에서는 다음 두 가지 방법을 채택하였다. 하나는 시간에 따른 강우량 변화의 영향을 무시한 기존의 설계강우 방식인 I.D.F(Intensity-Duration-Frequency)곡선을 이용하는 방법이며, 다른 하나는 시간의 영향을 고려하여 강우사상을 표현한 Huff 방법이다. 먼저 I.D.F 방법의 강우사상을 적용하여 선행강우효과를 나타내는 초기흡수력의 변화에 따른 사면의 안전율의 변화를 알아보았다. 또한, 두 강우사상의 방식을 적용하여 강우사상이 사면의 안전율 변화에 미치는 영향을 규명하고자 하였다. 그 결과, Huff 방법의 강우사상이 I.D.F 방법보다 더 현실적으로 사면의 안전성 평가가 이루어 질 수 있음을 확인할 수 있었다. In this study, two rainfall patterns are utilized for practical consideration of rainfall phenomena in unsaturated soil slope design. One is the I.D.F (Intensity-Duration-Frequency) method which is an existing design rainfall method and ignores the effect of the variation of the rainfall according to the time. The other is the Huff method which considers this effect oppositely. First, the safety of factor of the slope according to the variation of an initial suction which means the precedent rainfall effect was examined by means of the application of the I.D.F method. Through the application of two rainfall patterns, it was discussed how the rainfall pattern affects the factor of safety of the slope. As a result, it is found that the Huff method is more practical on the evaluation of the slope stability than the I.D.F method.

Estimating design floods based on the critical storm duration for small watersheds

The objective of this study was to propose a new method to determine design floods using the critical storm duration concept. Five different models, including the Rational, SCS, and Clark methods, were used to estimate peak discharges, while the uniform distribution, Mononobe, Huff, and Yen and Chow methods were applied for the determination of temporal rainfall distribution. Two small watersheds, Baran (HP#6) and Banweol (WS#1), for which watershed hydrologic data were available since 1996, were selected as the study areas. A total of 41 rainfall events was chosen from the study watersheds to calculate peak runoffs and evaluate the performances of the selected hydrological models based on the statistics of RMSE, Nash efficiency criterion (NEC), and R2 value. The Clark method performed the best overall among the selected models, with both NEC and R2 values greater than 0.95. The Huff method resulted in the longest critical storm duration, which was much greater than the times of concentration. The increase in the recurrence interval decreased the critical storm duration while increasing the peak flow rates. The SCS model estimated the greatest design floods, 94.2 m3/s for HP#6 and 56.4 m3/s for WS#1, with a 25-year return period. The design floods for the study watersheds that were estimated by the selected hydrologic models ranged from 68.3 to 132.1% of those estimated by the Rational method. The greatest to the smallest peak flows resulted from the SCS, WFRP, Clark and Nakayasu methods in order. As an alternative to the Rational method, the WFRP method may be appropriate for rural watershed areas in Korea, where paddy fields commonly exist, whereas the SCS model may be more suitable for urban areas, where most land surfaces are covered with impervious material. It was concluded that the incorporation of a critical storm duration concept can contribute to the advance of design flood estimation method in Korea.

독립 호우사상에 대한 이변량 강우빈도해석 및 강우-유출해석

본 연구에서는 독립 호우사상을 이용하여 이변량 빈도해석 및 유출해석을 수행하고, 이를 기존 단변량 빈도해석 결과와 비교 평가하였다. 본 연구는 규모가 다른 중랑천, 청계천, 우이천유역 등 세 유역에 대해 수행되었다. 유출모형으로 Clark 모형을 이용하였고, 유효우량은 SCS 방법을 적용하여 계산하였다. 강우의 시간분포 모형으로 교호블록 방법 및 Huff 방법을 적용하여 그 결과가 비교될 수 있도록 하였다. 그 결과를 정리하면 다음과 같다. (1) 연최대치 독립 호우사상계열의 이변량 빈도해석 결과, 지속기간이 짧은 경우에는 단변량 빈도해석 결과와의 차이가 매우 크나 지속기간이 길어짊에 따라서 그 차이가 현저히 줄어드는 것으로 나타났다. 아울러 지속기간이 짧은 경우, 단변량 빈도해석 결과가 이변량 빈도해석 결과보다 더욱 크게 나타났으나 특정 지속기간 이상부터 그 결과가 역전되는 것으로 나타났다. (2) 교호블록 시간분포 방법을 적용하는 경우가 Huff 방법을 적용한 경우보다 더욱 큰 첨두유출량을 발생시키는 것으로 나타났다. 아울러 교호블록 방법을 적용하는 경우에는 강우 지속기간의 증가에 따라서 첨두유출량이 점차 증가하는 것으로 나타났으나, 강우 지속기간이 대략 24시간 정도 되었을 때 그 값이 거의 수렴하는 것으로 나타났다. (3) 중랑천 유역에 대해 Huff 방법을 적용하여 유출해석을 수행한 결과에서는 이변량 설계강우를 적용한 경우가 단변량 설계강우를 적용한 경우보다 더욱 큰 홍수량을 발생시키는 것으로 나타났다. 반면에 청계천 및 우이천 유역의 경우에는 이변량 설계강우를 적용한 경우보다 단변량 설계강우를 적용한 경우의 홍수량이 다소 큰 것으로 나타났다. 그러나 교호블록 방법을 적용한 경우에서는 모든 유역에 대해 이변량 설계강우를 적용한 경우가 단변량 설계강우를 적용한 경우보다 큰 홍수량을 발생시키는 것으로 나타났다. In this study, the bivariate frequency analysis of the independent annual rainfall event series was done to be used for the runoff analysis, whose results were also compared with those from the conventional univariate frequency analysis. This study was applied to three differently-sized basins such as the Joongryang Stream, Chunggye Stream, and Ooyi Stream. The Clark model was used as the runoff model, and the SCS method was applied for the calculation of the effective rainfall. The alternating block method and the Huff method were considered to be compared for the temporal distribution of rainfall event. Summarizing the results are as follows. (1) The difference between the univariate and bivariate frequency analysis results were large when the rainfall duration was short, but significantly decreased as the rainfall duration increased. The univariate frequency analysis results were bigger when the rainfall duration was short, but smaller in opposite case. (2) The peak flow derived by applying the alternating block method was bigger than that by the Huff method. Also, the peak flow when applying the alternating block method increased as the rainfall duration increased, but converged smoothly around the rainfall duration of 24 hours. (3) For the Joongryang Stream, when applying the Huff method, the peak flow derived for the bivariate frequency analysis was bigger than that for the univariate case, but for the other two basins, the results were opposite. When applying the alternating block method, the results were consistent for all three basins that the peak flow derived by applying the bivariate frequency analysis was bigger than those by the univariate frequency analysis.

분단위 강우자료를 이용한 극치강우의 최적 시간분포 연구: 서울지점을 중심으로

본 연구에서는 극치강우의 시간분포 연구를 위하여 서울지점 우량관측소의 자기기록지를 1분단위로 독취한 MMR(minutely data using the magnetic recording)자료와 최근 들어 관측을 시작한 AWS (automatic weather system) 분단위기상관측 자료를 이용하여 연최대치 계열의 중앙값을 기준으로 한 POT(peaks over threshold) 계열 추출을 통하여 강우의 최적 시간분포 모형을 개발하였다. 기존 Huff 방법에서의 최대 단점인 지속기간별 시간분포 변화 특성을 고려하지 못하는 점과 강우사상별 강우총량에 대한 기준강우량의 일괄적용 등의 문제를 개선하였으며, 분단위 관측자료의 가중치 적용을 통한 순위결정으로 최빈분위를 선택하고 IQR (interquartile range) matrix의 적용을 통한 Quartile별 호우사상을 추출하는 방법을 제안하였다. 마지막으로 추출된 분단위 무차원 단위우량주상도에 핵밀도함수를 적용하여 자료의 크기와 분포 특성을 고려한 지속기간별 최적 시간분포형을 유도하였다. In this study, we have developed an optimal time distribution model through extraction of peaks over threshold (POT) series. The median values for annual maximum rainfall dataset, which are obtained from the magnetic recording (MMR) and the automatic weather system(AWS) data at Seoul meteorological observatory, were used as the POT criteria. We also suggested the improved methodology for the time distribution of extreme rainfall compared to Huff method, which is widely used for time distributions of design rainfall. The Huff method did not consider changing in the shape of time distribution for each rainfall durations and rainfall criteria as total amount of rainfall for each rainfall events. This study have suggested an extracting methodology for rainfall events in each quartile based on interquartile range (IQR) matrix and selection for the mode quartile storm to determine the ranking cosidering weighting factors on minutely observation data. Finally, the optimal time distribution model in each rainfall duration was derived considering both data size and characteristics of distribution using kernel density function in extracted dimensionless unit rainfall hyetograph.

도시유역의 유출특성을 고려한 강우분포 모형의 개발

본 연구는 면적이 작은 도시유역에 적용하기 위한 강우의 시간분포방법을 제안하였다. 이를 위하여 유역의 특성을 고려한 Interevent Time Definition(ETD) 결정방법과 3시간 미만의 강우를 포함한 무차원 누가우량곡선을 제안하였다. 새롭게 제시된 IETD 결정방법은 호우 사상의 종료 시점으로부터 직접유출의 종료 시점까지의 기간을 IETD로 정의하였다. 제안된 IETD 결정방법을 사용하여 중랑 배수구역에 대한 면적-IETD 관계곡선을 유도하였다. 제안된 강우분포모형을 4개의 도시 유역에 적용하여 10년빈도 2시간 강우를 시간분포 시켰으며, SWMM을 사용하여 유출수문곡선을 산정하였다. 산정된 유출수문곡선을 Huff 방법으로 산정한 유출수문곡선과 비교하였다. 비교한 결과 새롭게 제시된 강우의 시간분포 방법에 의한 유역의 첨두 홍수량은 Huff 모형에 의한 결과들보다 <TEX>$11\sim15%$</TEX>크게 나타났으며, 따라서 기존의 Huff 모형을 도시유역에 그대로 적용하는 것은 유출을 과소평가 할 위험성을 내포하고 있다. This study suggests a new time distribution method of rainfall for small urban watersheds. IETD (Interevent Time definition) determination method considering basin characteristics and dimensionless accumulation rainfall curves involving rainfall events with shorter duration than 3-hours are suggested. A new definition of IETD is the time period from the end of a rainfall event to the end of a direct runoff. Using the method, we drive an area-IETD regression curve for the Joong-Rang basin. The rainfall event with 10 year-return periods, 2-hour duration is distributed and applied four urban watersheds. In the four watersheds, we calculate hydrographs for four watersheds using SWMM and compare them with ones of the Huff's distribution model. From the comparison, we find that peak flows resulted from the developed methodology are <TEX>$11\sim15%$</TEX> larger than ones from the Huff's model. As conclusion, the Huff method should be adopted for the urban watersheds with careful verification.

Huff 강우시간분포방법의 개선방안 연구 : I. Huff방법의 국내유역 적용성 검토

Huff(1967)의 연구배경과 지형 및 강우특성을 국내유역과 비교하고 Huff(1967) 방법을 국내에 적용한 건설교통부(2000) Huff의 한계점을 파악하였으며, 국내 강우가 갖는 지속기간별 시간분포특성을 검토함으로써 국내유역에 적합한 Huff방법의 개선방안을 위한 기초연구를 목표로 하였다 Huff(1967)의 연구유역과 본 연구유역의 점강우가 갖는 특성에는 차이가 있었다. 그리고 건설교통부(2000) Huff 방법은 관측소별로 분석되어 유역을 대표하는 누가곡선의 채택에 어려움을 갖게 되며, 이용된 강우사상은 강우총량의 크기에 관계없이 모든 자료를 이용하여 점우량 25.4mm 이상을 대상으로 비교한 결과와 차이가 있는 것으로 분석되었다. 또한, 본 연구 대상유역의 점강우와 면적평균 강우에서 지속기간별로 강우의 시간분포 특성이 다양한 것으로 분석되었으며, 이는 K-S 검정결과 5% 유의수준에서 지속기간별로 작성된 일부 누가곡선이 전 지속기간에 대해 작성된 누가곡선과 유의하지 않는 것으로 분석되어 지속기간별 시간분포 특성이 통계학적으로 입증되었다. 따라서 Huff(1967) 방법을 국내유역에 적용하기 위해서는 적정 수준 이상의 총량을 갖는 강우사상을 대상으로 유역의 대표성, 강우의 지속기간별 특성이 반영된 누가곡선이 작성되어야 할 것으로 판단되었다. The goal of this study is to improve Huff's method which is the most popular method for rainfall time distribution in Korea. As the first step, we reevaluated the context of Huff's original research motivations, geography and rainfall pattern of study area, and compared that to Korean situations. In original Huff's results, no change in temporal distribution characteristics were found for different rainfall durations. This was found to be different from Korean situations. Furthermore, results from the MOCT(Ministry of Construction and Transportation) version of Huff's method is on a gage basis not on a watershed basis, thus making it difficult to select cumulative rainfall curves representative of a watershed. In addition, all rainfall data regardless of their magnitude were used in the MOCT version of Huff' method which is different from original Huff's which screened out data by using a threshold value of 25.4mm. For both point and areal mean rainfall, time distribution characteristics of rainfall for various durations were found to be different. This was statistically proven by K-S test at 5% significance level as some cumulative rainfall curves developed from the rainfall data of certain durations were found to be not significant with cumulative rainfall curves developed from the rainfall data of all durations. Therefore, in order to apply Huff's method to Korean situations, it is recommended that dimensionless cumulative curve must be developed for various rainfall duration intervals using rainfall data greater than a certain threshold value.

Huff 강우시간분포방법의 개선방안 연구 : II. Huff 방법의 개선방안

본 연구에서는 Huff(1967) 방법의 국내유역 적용을 위한 개선방안으로서 유역내 외 관측소의 강우사상별로 점우량 25.4mm이상과 면적평균우량 12.7mm이상의 자료를 사용하는 방법을 제시하였다. 본 연구의 분석결과 강우지속기간 등급별 최빈분위의 대부분이 면적평균우량과 같은 분위가 선택되어 유역의 대표성을 갖는 것으로 분석되었다. 건설교통부(2000) Huff 방법과 본 연구의 방법으로 시간분포 시킨 결과 지속기간별 첨두강우강도의 크기는 본 연구의 방법으로 산정된 값이 컸으나, 지속기간에 따라 일관된 경향을 나타내지는 않았다. 전술한 두 방법에 의해 시간분포 시킨 지속기간별 확률강우량을 입력으로 하여 유입수문곡선을 모의하였다. 첨두강우강도의 경우와는 달리 지속기간별 첨두홍수량의 값은 지속기간 12시간을 기준으로 지속기간이 증가됨에 따라 두 방법에 의한 값의 차이가 커졌다. 특히, 임계지속기간을 고려한 첨두홍수량에서 큰 차이를 보였으며, 이는 지속기간별 첨두홍수량 차이에서도 유사한 특성으로 나타났다. 따라서 본 연구에서 제시한 방법은 지속기간에 관계없이 하나의 누가곡선을 이용해왔던 기존방법에서 탈피해 지속기간별로 누가곡선을 구분함으로써 지속기간별 강우의 시간분포 특성과 유역의 대표성을 갖는 무차원 누가곡선 작성방법으로 효과적일 것으로 기대되었다. In this study, we propose a new method that utilizes rainfall data in and out of a basin, which is greater than 25.4mm for point rainfall or 12.7mm for areal mean rainfall respectively. From our analysis, most frequent quartile for point and areal mean rainfall were found to be the same in general for various rainfall duration intervals. From an evaluation of design rainfall per each rainfall duration distributed in time by the MOCT(Ministry of Construction and Transportation) version of Huff's method and this study, peak rainfall intensity by this study was found to be greater than the one by MOCT, but there were no consistent increase or decrease of this difference with rainfall durations. Using the distributed design rainfall per each duration by MOCT and this study, corresponding flood inflow hydrographs were simulated and compared each other. Contrary to the case of peak rainfall intensity, difference in peak flow by both methods per each rainfall duration started to increase from about 12-hr duration. Especially, the difference in peak flow was significant when critical rainfall duration was considered, and this trend was similar for peak flows of other rainfall durations. Therefore, the method proposed in this study is thought to be the effective procedure for the construction of dimensionless cumulative rainfall curve that is representative of a basin while considering time distribution characteristics for different rainfall durations.

Landsat영상과 수문모형을 이용한 태풍 RUSA에 의한 수문영향 분석

본 연구의 목적은 태풍 피해로 인한 토지피복변화가 수문변화에 미치는 영향을 평가하는 것이다. 2002년 8월 31일부터 9월 1일까지 발생한 태풍 루사(1,402mm)가 강릉 남대천 유역에 미친 영향을 파악하기 위하여 2000년 9월 29일 Landsat 7 ETM+ 영상(태풍 전)과 2002년 9월 11일 Landsat 5 TM영상(태풍 후)을 선정하여 각각 토지피복도를 작성하였다. 유역유출과 하도추적에 대해 WMS HEC-1의 SCS 무차원 단위도법과 Muskingum 법을 각각 적용하였고, 30m 해상도의 DEM과 수문학적 토양군 1:50,000 토양도를 사용하였다. 1985년의 토지피복을 바탕으로 1985년부터 1988년의 기간 중 사용가능한 3개의 강우사상을 선정하여 모형을 보정하였다. 피해지역에 대한 빈도별 유출량 변화를 분석하기 위하여 50년에서 500년까지 빈도별로 Huff 2분위 24시간지속 확률강우량을 생성하여 적용하였다. 태풍후의 토지피복상태에서 피해지역의 지표피복이 나지로 변함에 따라 AMC-I에서 50년 빈도 강우에 대해 <TEX>$50.1\;m^3/sec$</TEX>의 유출량이 증가하였고, 500년 빈도 강우에 대해서 <TEX>$67.6\;m^3/sec$</TEX>가 증가하였다. 향후 태풍피해 발생시 정부의 신속한 대처를 가능하게 할 것으로 판단된다. The purpose of this study is to evaluate hydrological impact by the land cover change of typhoon damage. For the typhoon RUSA (rainfall 1,402 mm) occurred in 2002 (August <TEX>$31\;{\sim}$</TEX> September 1), satellite images of Landsat 7 ETM+ of September 29, 2000 and Landsat 5 TM of September 11, 2002 were selected, and each land cover was classified for Namdae-cheon watershed <TEX>$192.7km^2$</TEX> located in the middle-eastern part of Korea Peninsula. SCS unit hydrograph for watershed runoff and Muskingum for streamflow routing of WMS HEC-1 was adopted. 30m resolution DEM & hydrological soil group using 1:50,000 soil map were prepared. The model was calibrated using three available data of storm events of 1985 to 1988 based on 1985 land cover condition. To predict the streamflow change by damaged land cover condition, rainfall of 50 years to 500 years frequency were generated using 2nd quantile of Huff method. The damaged land cover condition treated as bare soil surface increased streamflow of <TEX>$50.1\;m^3/sec$</TEX> for 50 years rainfall frequency and <TEX>$67.6\;m^3/sec$</TEX> for 500 years rainfall frequency based on AMC-I condition. There may be some speedy treatment by the government for the next coming typhoon damage.

A review of the phi factor during runaway conditions

A simulation model for nth-order and autocatalytic reactions has been developed to describe the behaviour of runaway reactions, which also includes the effect of phi. The model has been developed for ISIM and Excel. The simulation model was used to show that when calculating the adiabatic temperature rise from the heat of reaction the most accurate value of the heat capacity to use is half the value of the heat capacity at the start and at the end of the reaction. A senstivity analysis was carried out using the model to test the effect changes in physical properties have upon the prediction of critical parameters and the vent sizing. It was shown that slight changes in the value of E/R alone or in the log of the pre-exponential factor alone can cause extreme changes in the time predicted for the reaction or the vent size required. The effect of changes in the specific heat capacity, heat of reaction or start temperature was not as significant. Different methods of correcting experimental data for phi were compared and it was shown that although the Huff method is the most exact method of correcting for phi, all three methods compared gave similar results. Finally the heat transfer effects upon the correction of experimental data for phi were investigated. It was shown that this effect, for the conditions investigated, would cause a 3 K error in the adiabatic temperature rise when phi is less than 1.35.

On an extension of Huff's method for the thermodynamic evaluation of propellants

International Journal for Numerical Methods in EngineeringVolume 12, Issue 7 p. 1185-1190 Short Communication On an extension of Huff's method for the thermodynamic evaluation of propellants V. Swaminathan, V. Swaminathan Propellant Engineering Division, Vikram Sarabhai Space Centre, Trivandrum, IndiaSearch for more papers by this authorG. Rajagopalan, G. Rajagopalan Propellant Engineering Division, Vikram Sarabhai Space Centre, Trivandrum, IndiaSearch for more papers by this author V. Swaminathan, V. Swaminathan Propellant Engineering Division, Vikram Sarabhai Space Centre, Trivandrum, IndiaSearch for more papers by this authorG. Rajagopalan, G. Rajagopalan Propellant Engineering Division, Vikram Sarabhai Space Centre, Trivandrum, IndiaSearch for more papers by this author First published: 1978 https://doi.org/10.1002/nme.1620120709Citations: 3AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Citing Literature Volume12, Issue71978Pages 1185-1190 RelatedInformation