The velocity distribution for turbulent flow in a circular pipe is modelled by the relation v = vmax (1-5ī where v is the maximum velocity, R is the pipe max radius and r is the radial distance (from the centre of the pipe). R Obtain an expression for the volume flow rate, Q, given that Q = 2n|rv dr.

The velocity distribution for turbulent flow in a circular pipe is modelled by the relation v = vmax (1-5ī where v is the maximum velocity, R is the pipe max radius and r is the radial distance (from the centre of the pipe). R Obtain an expression for the volume flow rate, Q, given that Q = 2n|rv dr.

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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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

2.
The velocity distribution for turbulent flow in a circular pipe is modelled by the
relation v = vmax (1-5ī where v is the maximum velocity, R is the pipe
max
radius and r is the radial distance (from the centre of the pipe).
R
Obtain an expression for the volume flow rate, Q, given that Q =
= 2r[rvdr .

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