Fluid Mechanics
Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 1, Problem 1.58P

The laminar pipe flow example of Prob. 1.12 can be used to design a capillary viscometer [29]. If Q is the volume flow rate, L is the pipe length, and ?p is the pressure drop from entrance to exit, the theory of Chap. 6 yields a formula for viscosity:

μ = π r 0 4 Δ p 8 L Q

Pipe end effects are neglected [29]. Suppose our capillary has r0 — 2 mm and L — 25 cm. The following flow rate and pressure drop data are obtained for a certain fluid:

    Q, m3/h 0.36 0.72 1.08 1.44 1.80
    ?p, kPa 159 318 477 1274 1851

What is the viscosity of the fluid? Note: Only the first three points give the proper viscosity. What is peculiar about the last two points, which were measured accurately?

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Chapter 1 Solutions

Fluid Mechanics

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