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2. (25 pt) The drag, FD, on a sphere located in a pipe through which fluid is flowing is determined to be a function of the sphere diameter, d, the pipe diameter, D, the density, ρ, and the fluid velocity, V. (a) (5 pt) Determine the number of dimensionless groups. (b) (10 pt) Compute the Pi groups. Use ρ,V,D as the repeating parameters. (c) (10 pt) Determine the condition for similarity and estimate the drag on a sphere located in a 2ft diameter pipe at V=6ft/s, if experiments on a sub-scale model of D=0.5in,d=0.2 in at V=2ft/s gave a drag force of 1.5×10−3lbf.
2. (25 pt) The drag, FD, on a sphere located in a pipe through which fluid is flowing is determined to be a function of
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2. (25 pt) The drag, FD, on a sphere located in a pipe through which fluid is flowing is determined to be a function of
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