A horizontal smooth-walled cylindrical pipe has diameter 0.04 m. Water flows along the pipe with a flow rate of Q = 2 × 10-4 m³ s¯¹. For water, take the kinematic viscosity as v = 10-6 m² s-1 and the density as p = 10³ kg m-³. -3 (a) Calculate the Reynolds number and establish whether the flow is turbulent or not. (b) Show that X 0.035 is a good approximation of the Darcy friction factor for this flow. = (c) Calculate the shear stress at the wall of the pipe, and hence find the magnitude of the drag force exerted by the water on a length L = 2 m of the pipe.
A horizontal smooth-walled cylindrical pipe has diameter 0.04 m. Water flows along the pipe with a flow rate of Q = 2 × 10-4 m³ s¯¹. For water, take the kinematic viscosity as v = 10-6 m² s-1 and the density as p = 10³ kg m-³. -3 (a) Calculate the Reynolds number and establish whether the flow is turbulent or not. (b) Show that X 0.035 is a good approximation of the Darcy friction factor for this flow. = (c) Calculate the shear stress at the wall of the pipe, and hence find the magnitude of the drag force exerted by the water on a length L = 2 m of the pipe.
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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Transcribed Image Text:A horizontal smooth-walled cylindrical pipe has diameter 0.04 m. Water
flows along the pipe with a flow rate of Q 2 x 10-4 m³ s-¹.
=
For water, take the kinematic viscosity as v = 10-6 m² s¹ and the
10³ kg m-³.
density as p
=
(a) Calculate the Reynolds number and establish whether the flow is
turbulent or not.
(b) Show that λ = 0.035 is a good approximation of the Darcy friction
factor for this flow.
(c) Calculate the shear stress at the wall of the pipe, and hence find
the magnitude of the drag force exerted by the water on a length
2 m of the pipe.
L
=
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