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2024, Vol: 31, Issue: 1
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Original Research 
NJE. 2024; 31(1): 138-142


BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA

Francis James Ogbozige.


Abstract
The unit hydrograph has been known to be a powerful tool in Hydrology but most watersheds within developing countries have none due to several factors which consequently affect design of hydraulic or flood control structures. Hence, this research developed a synthetic unit hydrograph (SUH) of the important Epie creek in Bayelsa state of Nigeria that drains over 70% of the runoff in the state capital. This was achieved by applying the globally used Snyder’s model as well as an innovative approach involving the use of Buckingham’s π-theorem (dimensional analysis). The result revealed that the peak discharge, time to attain peak discharge as well as the basin lag for the SUH developed from Buckingham’s π-theorem principles are respectively 5.6%, 4.7% and 6.7% higher than their corresponding values in the SUH developed via Snyder’s method while the base period is 2.1% lower than that of Snyder’s method. Notwithstanding, the peak discharge and base period for both approaches ranged from 102.20 – 107.88m3/s and 80.97 – 82.71hours respectively. Necessary recommendations were made.

Key words: Dimensional, Discharge, Peak, Runoff, Snyder


 
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Pubmed Style

Ogbozige FJ, . BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA. NJE. 2024; 31(1): 138-142.

Web Style

Ogbozige FJ, . BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA. https://www.njeabu.com.ng/?mno=170667 [Access: April 11, 2024].

AMA (American Medical Association) Style

Ogbozige FJ, . BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA. NJE. 2024; 31(1): 138-142.


Vancouver/ICMJE Style

Ogbozige FJ, . BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA. NJE. (2024), [cited April 11, 2024]; 31(1): 138-142.


Harvard Style

Ogbozige, F. J. & (2024) BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA. NJE, 31 (1), 138-142.


Turabian Style

Ogbozige, Francis James, and . 2024. BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA. Nigerian Journal of Engineering, 31 (1), 138-142.


Chicago Style

Ogbozige, Francis James, and . "BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA." Nigerian Journal of Engineering 31 (2024), 138-142.


MLA (The Modern Language Association) Style

Ogbozige, Francis James, and . "BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA." Nigerian Journal of Engineering 31.1 (2024), 138-142. Print.


APA (American Psychological Association) Style

Ogbozige, F. J. & (2024) BUCKINGHAM’S π–THEOREM IN DEVELOPMENT OF SYNTHETIC UNIT HYDROGRAPH: A CASE OF EPIE CREEK WATERSHED, NIGERIA. Nigerian Journal of Engineering, 31 (1), 138-142.


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