Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity

Joint Authors

Shin, Seung Sook
Park, Sang Deog
Choi, Byoung Koo

Source

Advances in Meteorology

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-12-24

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Physics

Abstract EN

Rainfall kinetic energy has been linked to linear, exponential, logarithmic, and power-law functions using rainfall intensity as an independent variable.

The power law is the most suitable mathematical expression used to relate rainfall kinetic energy and rainfall intensity.

In evaluating the rainfall kinetic energy, the empirical power laws have shown a larger deviation than other functions.

In this study, universal power law between rainfall kinetic energy and rainfall intensity was proposed based on the rainfall power theory under an ideal assumption that drop-size is uniformly distributed in constant rainfall intensity.

An exponent of the proposed power law was 11/9 and coefficient was estimated at 10.3 from the empirical equations of the existing power-law relation.

The rainfall kinetic energy calculated by universal power law showed >95% concordance rate in comparison to the average values calculated from exponential and logarithmic functions used in soil erosion model such as USLE, RUSLE, EUROSEM, and SEMMA and <5% relative difference as compared to the average rainfall kinetic energies calculated by other empirical functions.

Therefore, it is expected that power law of ideal assumption may be utilized as a universal power law in evaluating rainfall kinetic energy.

American Psychological Association (APA)

Shin, Seung Sook& Park, Sang Deog& Choi, Byoung Koo. 2015. Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity. Advances in Meteorology،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095397

Modern Language Association (MLA)

Shin, Seung Sook…[et al.]. Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity. Advances in Meteorology No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1095397

American Medical Association (AMA)

Shin, Seung Sook& Park, Sang Deog& Choi, Byoung Koo. Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity. Advances in Meteorology. 2015. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095397

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1095397