Entropy Theory for Distribution of One-Dimensional Velocity in Open Channels Academic Article

abstract

• Assuming time-averaged velocity as a random variable, this study develops an entropy theory for deriving the one-dimensional distribution of velocity in open channels. The theory includes five parts: (1) Tsallis entropy; (2) the principle of maximum entropy (POME); (3) the specification of information on velocity for constraints; (4) the maximization of entropy; and (5) the probability distribution of velocity and its entropy. An application of the entropy theory is illustrated by deriving a one-dimensional velocity distribution in open channels in which the dimension is vertical or the flow depth. The derived distribution is tested with field and laboratory observations and is compared to Chiu's velocity distribution derived from Shannon entropy. The agreement between velocity values are computed with the entropy-based distribution. 2011 American Society of Civil Engineers.

authors

• Singh, Vijay

published proceedings

• JOURNAL OF HYDROLOGIC ENGINEERING

author list (cited authors)

• Singh, V. P., & Luo, H.

citation count

• 45

complete list of authors

• Singh, Vijay P||Luo, Hao

publication date

• September 2011

publisher

• American Society of Civil Engineers (ASCE)  Publisher

keywords

• Entropy
• Open Channel Flow
• Probability Distribution
• Tsallis Entropy
• Velocity

Digital Object Identifier (DOI)

• 10.1061/(ASCE)HE.1943-5584.0000363

start page

• 725

end page

• 735

volume

• 16

issue

• 9

URL

• http%3A%2F%2Fdx.doi.org%2F10.1061%2F%28asce%29he.1943-5584.0000363