The dynamic viscosity μ (in N.s/m²) of a liquid can be measured by determining the time t (in s) for a sphere of diameter d (in m) to settle slowly through a distance / (in m) in a vertical cylinder of diameter D (in m) containing the liquid (see Fig. B3). Assuming that t = f(l, d, D, u, Ay), where Ay (in N/m³) is the difference in the specific weights between the sphere and the liquid. Use a dimensional analysis to develop a relationship among a suitable set of dimensionless terms for this problem, using d, u and Ay as the repeating variables. 1 Sphere D Figure B3 Cylinder
The dynamic viscosity μ (in N.s/m²) of a liquid can be measured by determining the time t (in s) for a sphere of diameter d (in m) to settle slowly through a distance / (in m) in a vertical cylinder of diameter D (in m) containing the liquid (see Fig. B3). Assuming that t = f(l, d, D, u, Ay), where Ay (in N/m³) is the difference in the specific weights between the sphere and the liquid. Use a dimensional analysis to develop a relationship among a suitable set of dimensionless terms for this problem, using d, u and Ay as the repeating variables. 1 Sphere D Figure B3 Cylinder
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Question B3
The dynamic viscosity (in N.s/m²) of a liquid can be measured by determining the time t (in s) for a
sphere of diameter d (in m) to settle slowly through a distance / (in m) in a vertical cylinder of diameter
D (in m) containing the liquid (see Fig. B3). Assuming that t = f(l, d, D, u, Ay), where Ay (in N/m³) is the
difference in the specific weights between the sphere and the liquid.
Use a dimensional analysis to develop a relationship among a suitable set of dimensionless terms for
this problem, using d, u and Ay as the repeating variables.
Sphere
D
Figure B3
Cylinder
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