Q1: The volume flow rate (Q) over a rectangular duct depends on the head H over the duct, acceleration due to gravity g. length of duct L, height of the duct Z and the kinematic viscosity v of the liquid. (1) Derive the relationship between the above variables and the volume flow rate by using Buckingham's Il-theorem. (2) Explain the physical meaning of the obtained dimensionless groups.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Q1: The volume flow rate (Q) over a rectangular duct depends on the head H over the
đuct, acceleration due to gravity g. length of duct L, height of the duct Z and the
kinematic viscosity v of the liquid. (1) Derive the relationship between the above
variables and the volume flow rate by using Buckingham's I-theorem. (2) Explain the
physical meaning of the obtained dimensionless groups.
Transcribed Image Text:Q1: The volume flow rate (Q) over a rectangular duct depends on the head H over the đuct, acceleration due to gravity g. length of duct L, height of the duct Z and the kinematic viscosity v of the liquid. (1) Derive the relationship between the above variables and the volume flow rate by using Buckingham's I-theorem. (2) Explain the physical meaning of the obtained dimensionless groups.
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