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6. You are out in the field on a streambed, and made the following measurements of grain diameters, D, in mm: [1.7 23 3.3 4.4
6. You are out in the field on a streambed, and made the following measurements of grain diameters, D, in mm: [1.7 23 3.3 4.4 1.7 0.6 1 0.8 7.3 11 2.6 1.4 2.9 1 0.7 0.7 2.2 1.5 1.4 4 2 1.9 4.5 25 2.8 1.4 1.9 0.8 0.8] (a) Make a plot of the frequency of the grain size in bins of size 1 mm from 0 to 8 mm. (b) Make a plot of the cumulative distribution function of the grain size. (c) Estimate the median (Dso), Dg4, and Dgo of the grain size measurements. (d) If this stream had a bed slope of 0.002 m/m and the bankfull flow depth was 2 m, then would the stream move the median grain size? Estimate the critical Shields stress using Brownlie (1983) relationship and calculating the particle Reynolds number. (e) If this stream was transporting water at a depth-averaged flow velocity of 1 m/s, is this flow turbulent? (f) Estimate the shear velocity, u*, of the flow. (g) Would the stream move the Dgs and Dgo grain sizes? (h) Is the stream capable of carrying the sediment in suspended load? Check for Dsp, Dss, and Dso. Remember to use the settling velocity equation. (i) Suppose that this same stream had some medium sand (grain size = 0.5 mm). Would the medium sand be transported in suspension? (j) Now imagine that the grain size measurements were returned to you by the Curiosity Rover on Mars along with the dimensions of the channel depth and slope given in part (d). How would your answers change to the questions in (d-i)? The gravitational acceleration on Mars is g = 3.7 m/s\". Total of 60 pts
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