Package: Loose Leaf For Fluid Mechanics With 1 Semester Connect Access Card
8th Edition
ISBN: 9781259638848
Author: White
Publisher: MCG
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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=πr40Δp8LQ
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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We consider a laminar flow induced by an impulsively started infinite flat
plate. The y-axis is normal to the plate. The x- and z-axes form a plane parallel
to the plate. The plate is defined by y = 0. For time t <0, the plate and the flow
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the resulting momentum equation is
მu
Ət
Note that this equation has the form of a diffusion equation (the same form as
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T=kt, Y=k/2y, U = u
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Chapter 1 Solutions
Package: Loose Leaf For Fluid Mechanics With 1 Semester Connect Access Card
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