(b) Volumetric flow rate (discharge) Q through a circular pipe with diameter D can be measured by measuring the speed of rotation N of a propeller based flowmeter fitted inside the pipe Use dimensional analysis with ,N,D as recurring set to show that Q kND 3 , where the propeller coefficient k is a function of D p D and the propeller Reynolds number ND 2 D p is the propeller diameter and are fluid density and dynamic viscosity respectively

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Question: (b) Volumetric flow rate (discharge) Q through a circular pipe with diameter D can be measured by measuring the speed of rotation N of a

(b) Volumetric flow rate (discharge) Q through a circular pipe with diameter D can be measured by measuring the speed of rotation N of a propeller-based flowmeter fitted inside the pipe. Use dimensional analysis with ρ,N,D as recurring set to show that Q=kND³ , where the propeller coefficient k is a function of D_p/D and the propeller Reynolds number ρND²/µ . D_p is the propeller diameter; ρ and µ are fluid density and dynamic viscosity respectively.

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