Derivation of Rouse equation for sediment concentration using Shannon entropy Academic Article

abstract

• 2016 Elsevier B.V. Sediment concentration is fundamental for determining sediment transport in open channels. The Rouse equation, one of several methods for computing sediment concentration, has been derived using deterministic hydraulic principles. This study derives the Rouse equation using the Shannon entropy theory. The derivation requires a hypothesis on the cumulative probability distribution function of sediment concentration in terms of flow depth which is formulated in a general form and can specialize in several specific forms reported in the literature. The advantage of using the entropy theory is that it permits quantification of uncertainty associated with concentration and determination of parameters in terms of specified information, such as mean concentration.

authors

• Singh, Vijay

published proceedings

• PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

altmetric score

• 3

author list (cited authors)

• Kumbhakar, M., Ghoshal, K., & Singh, V. P.

citation count

• 24

complete list of authors

• Kumbhakar, Manotosh||Ghoshal, Koeli||Singh, Vijay P

publication date

• January 2017

publisher

• Elsevier  Publisher

published in

• Physica A: Statistical Mechanics and its Applications  Journal

keywords

• Leibniz Rule
• Probability Distribution
• Rouse Equation
• Sediment Concentration
• Shannon Entropy

Digital Object Identifier (DOI)

• 10.1016/j.physa.2016.08.068

start page

• 494

end page

• 499

volume

• 465

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.physa.2016.08.068