Problem #0083 Mechanics Sub-menu Problem #0085 Chapters Chapters

84.

Problem 18.39 (RHK)

Liquid mercury (viscosity,) flows through a horizontal pipe of internal radius 1.88 cm and length 1.26 m. The volume flux is .We have to show (a) that the flow is laminar; (b) calculate the pressure between the two ends of the pipe.

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(a)

In order to find whether the flow is laminar we will calculate the Reynolds number

Internal radius of the pipe is 1.88 cm and the volume flux is

Speed of flow of mercury in the pipe

Reynolds number for this speed of flow is

As this is less than 2000, flow is laminar.

(b)

Volume flux through a pipe of length L and radius r is

Difference in pressure between the two ends of the pipe is