Using the Indicial and Buckingham t method (7-theorem) in dimensional analysis, prove that the discharge (O) over a spillway is given by the following relation: Q=vD° VgD H D where v is velocity of flow, D is depth at the throat, H is head of water and g is gravitational acceleration.

Using the Indicial and Buckingham t method (7-theorem) in dimensional analysis, prove that the discharge (O) over a spillway is given by the following relation: Q=vD° VgD H D where v is velocity of flow, D is depth at the throat, H is head of water and g is gravitational acceleration.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Using the Indicial and Buckingham a method (r-theorem) in dimensional analysis, prove
that the discharge (O) over a spillway is given by the following relation:
Q=vD° vgD
D
where v is velocity of flow, D is depth at the throat, H is head of water and g is
gravitational acceleration.

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