Pickup Probability of Sediment under Log-NormalVelocity Distribution
نویسندگان
چکیده
This work presents the formulation of the pickup probability for sediment entrainment under the log-normally distributed instantaneous velocity. Herein two mathematical approaches, namely the analytical method and the first-order approximation method, are employed in the theoretical derivation. The results are compared with the published experimental data and the previous pickup probability derived for the normal velocity distribution. The outcome appears to indicate that the pickup probabilities resulting from the two mathematical methods are of the same order of accuracy if the optimal lift coefficients are used. The error analysis implies that the results for the log-normal distribution reveal a significant improvement of accuracy over that for the normal distribution. The overall improvement exceeds 50%. DOI: 10.1061/~ASCE!0733-9429~2002!128:4~438! CE Database keywords: Entrainment; Velocity distribution; Sediment; Error analysis; Probability.
منابع مشابه
Height and Crown Area Distribution of Cionura erecta Shrub lands in chaharmahal and Bakhtiari Province, Using Probability Distribution Functions
Importance of probability distribution functions in natural resource studies is increasing due to their effective roles in better understanding of vegetation structure and providing conceptual models of quantitative indices of plant species. The present study was performed to model the distribution of height and canopy area of Cionura erecta L. shrub, using probability distribution functions in...
متن کاملThe Zografos–Balakrishnan-log-logistic Distribution
Tthe Zografos–Balakrishnan-log-logistic (ZBLL) distribution is a new distribution of three parameters that has been introduced by Ramos et el. [1], and They presented some properties of the new distribution such as its probability density function, The cumulative distribution function, The moment generating function, its hazard (failure) rate function, quantiles and moments, Rényi and Shannon ...
متن کاملAdmissible and Minimax Estimator of the Parameter $theta$ in a Binomial $Bin( n ,theta)$ distribution under Squared Log Error Loss Function in a Lower Bounded Parameter Space
Extended Abstract. The study of truncated parameter space in general is of interest for the following reasons: 1.They often occur in practice. In many cases certain parameter values can be excluded from the parameter space. Nearly all problems in practice have a truncated parameter space and it is most impossible to argue in practice that a parameter is not bounded. In truncated parameter...
متن کاملA Hybrid Algorithm for a Two-Echelon Location- Routing Problem with Simultaneous Pickup and Delivery under Fuzzy Demand
Location-Routing Problem (LRP) emerges as one of the hybrid optimization problems in distribution networks in which, total cost of the system would be reduced significantly by simultaneous optimization of locating a set of facilities among candidate locations and routing vehicles. In this paper, a mixed integer linear programming model is presented for a two-echelon location-routing problem wit...
متن کاملSome New Results on Policy Limit Allocations
Suppose that a policyholder faces $n$ risks X1, ..., Xn which are insured under the policy limit with the total limit of l. Usually, the policyholder is asked to protect each Xi with an arbitrary limit of li such that ∑ni=1li=l. If the risks are independent and identically distributed with log-concave cumulative distribution function, using the notions of majorization and stochastic orderings, ...
متن کامل