Design of an experiment to verify the f vs. Re chart for spheres, it is desired to
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Design of an experiment to verify the f vs. Re chart for spheres, it is desired to design an experiment to test the friction factor chart in Fig. 6.3-1 for flow around a sphere. Specifically, we want to test the plotted value f = 1 at Re = 100. This is to be done by dropping bronze spheres (Psph = 8 g/cm3) in water (p = 1 g/cm3, µ, = 10-2 g/cm ∙ s). What sphere diameter must be used?
(a) Derive a formula that gives the required diameter as a function of f, Re, g, µ, p, and Psph for terminal velocity conditions.
(b) Insert numerical values and find the value of the sphere diameter
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