scholarly journals Spatial Distribution Characteristics of Rainfall for Two-Jet Collisions in Air

Water ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 1600 ◽  
Author(s):  
Hao Yuan ◽  
Weilin Xu ◽  
Rui Li ◽  
Yanzhang Feng ◽  
Yafeng Hao

Many researchers have studied the energy dissipation characteristics of two-jet collisions in air, but few have studied the related spatial rainfall distribution characteristics. In this paper, in combination with a model experiment and theoretical study, the spatial distributions of rainfall intensity of two-jet collisions, with different collision angles and flow ratios, are systematically studied. The experimental results indicated that a larger collision angle corresponds to a larger rainfall intensity distribution. The dimensionless maximum rainfall intensity sharply decreased with the flow ratio, while the maximum rainfall intensity slightly increased when the flow ratio was greater than 1.0. A theoretical equation to compute the location of maximum rainfall intensity is presented. The range of rainfall intensity distribution sharply increased with the flow ratio. When the flow ratio was greater than 1.0, the range of longitudinal distribution slightly increased, whereas the lateral distribution remained unchanged or slowly decreased. A formula to calculate the boundary lines of the x-axis is proposed.

1969 ◽  
Vol 57 (1) ◽  
pp. 24-41
Author(s):  
Modesto Capiel ◽  
Mariano Antoni

A statistical evaluation was made of the daily rainfall at Caguas and Fajardo, covering 70- and 60-year periods. The purposes of this evaluation were: 1, To investigate the character, if any, of the rainfall distribution and of its deficiency (drought) characteristics; and 2, in the event that any character was found in rainfall in the sense of distribution and deficiency, to develop a Rainfall Deficiency Index which would be useful to agricultural and other programs and inventories. The study first consisted of determining the least rainfall in 60, 120, and 180 consecutive days, and the maximum rainfall in 30 and 90-day periods of each year. This analysis suggested the occurrence of most deficient and least deficient rainfall in 120 (or 180) day cycles during the drier part of the year within 10- to 11-year periods; the Caguas data beginning in 1899 and in 1909 at Fajardo. The suggested cycles appear to be more defined at Caguas than Fajardo. It appears that years ending in 6 or 7 almost invariably seemed to be among the driest in their respective decades; 1899 to 1968. Years ending in 1 or 2 seemed identified with least deficient and better distributed rainfall. This preliminary analysis was based mainly on the least rainfall in 120 days parameter. It was found that the ratio of the mean least rainfall in 120 days of the dry years (ending in 6 or 7) to the "wet" years (ending in 1 or 2) is 0.364 for Caguas and 0.603 for Fajardo. Also, the coefficient of variation of the data for dry and "wet" years was lower than when calculated for all years. Contrast between dry and wet years is apparent even for the least rainfall in 180 days (6 months of the year). In this respect the ratios of dry to "wet" years are 0.494 and 0.595 for Caguas and Fajardo, respectively. There is no apparent contrast, however, when the annual, or even maximum, rainfall in 90 days at the two locations is compared for "wet" and dry years. A Rainfall Deficiency Index (DEF) is proposed. Such deficiency is normally distributed for Caguas and Fajardo. This index integrates the deficiency and distribution characteristics of the annual rainfall. It can be used, therefore, as a guide for evaluating the rainfall characteristics in the agricultural regions of Puerto Rico and for the determination of priorities for supplemental irrigation. A Rainfall Distribution Coefficient (DIS) was developed as a direct means of describing the distribution characteristics of annual rainfall, and it accounts indirectly for the rainfall deficiency within a given area or areas of similar annual rainfall. DEF accounted for 74.0 and 64.4 percent of the variations in DIS at both Caguas and Fajardo.


2021 ◽  
Vol 13 (1) ◽  
pp. 796-806
Author(s):  
Zhen Shuo ◽  
Zhang Jingyu ◽  
Zhang Zhengxiang ◽  
Zhao Jianjun

Abstract Understanding the risk of grassland fire occurrence associated with historical fire point events is critical for implementing effective management of grasslands. This may require a model to convert the fire point records into continuous spatial distribution data. Kernel density estimation (KDE) can be used to represent the spatial distribution of grassland fire occurrences and decrease the influences historical records in point format with inaccurate positions. The bandwidth is the most important parameter because it dominates the amount of variation in the estimation of KDE. In this study, the spatial distribution characteristic of the points was considered to determine the bandwidth of KDE with the Ripley’s K function method. With high, medium, and low concentration scenes of grassland fire points, kernel density surfaces were produced by using the kernel function with four bandwidth parameter selection methods. For acquiring the best maps, the estimated density surfaces were compared by mean integrated squared error methods. The results show that Ripley’s K function method is the best bandwidth selection method for mapping and analyzing the risk of grassland fire occurrence with the dependent or inaccurate point variable, considering the spatial distribution characteristics.


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