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Estimation of transverse velocity and concentration profile using Kumaraswamy distribution

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Abstract

To measure the transverse distribution of the velocity is very important as it is associated with riverine flow processes like distribution of shear stress, sediment concentration distribution, diffusion coefficients, secondary current’s distribution, etc. Many formulations were proposed for transverse distribution of velocity with each being somehow complex in its application. In present study Kumaraswamy’s distribution was utilized to propose a transverse velocity distribution which uses mean velocity and Kumaraswamy’s parameters a and b. It was observed in the study that skewness in the velocity distribution is a function of both a and b. Kumaraswamy’s distribution have been observed to predict the velocity profile in a satisfactory manner and when utilized to predict the transverse concentration profile along-with a method developed by Ahmad, predicted it satisfactorily.

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Acknowledgements

Corresponding author hereby wants to thank Prof. Zulfequar Ahmad, Department of Civil Engineering, IIT Roorkee, to provide the code utilized in Ahmad (2008) without which present study wouldn’t have been possible.

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For the present no funding was availed by the authors to conduct the study.

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Authors and Affiliations

  1. Department of Civil Engineering, Institute of Infrastructure Technology, Research and Management, Ahmedabad, Gujarat, 380026, India

    H. Sharma

  2. Department of Civil Engineering, IIT Jammu, Jammu, Jammu and Kashmir (U. T.), 181121, India

    N. Joshi

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  1. H. Sharma
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  2. N. Joshi
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In present manuscript, corresponding author was responsible for development of idea and manuscript while second author developed a program which utilized least square method to estimate the distribution's parameters

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Correspondence to H. Sharma.

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Sharma, H., Joshi, N. Estimation of transverse velocity and concentration profile using Kumaraswamy distribution. Stoch Environ Res Risk Assess 38, 251–261 (2024). https://doi.org/10.1007/s00477-023-02576-0

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