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Chapter 20, Problem 48P
To determine

Find the number of months required to pay off half of the loan using excel functions.

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Use Burdine's (1953) equation from the handout (the statistical capillary tube model equation with the values of b, r, and m assumed by Burdine) to mathematically derive a relationship for the hydraulic conductivity function that is based on the SWRC model of Brooks and Corey (1964).
Question 2 A sluice gate controls flow in open channels. At sections 1 and 2, the flow is uniform and the pressure is hydrostatic. Neglecting bottom friction and atmospheric pressure, calculate the velocities V1 and V2, and the horizontal force, F, required to hold the gate if h1 = 6m, h2 = 1m, and b = 5m. h₁V₁ Sluice gate, width b F
Question 1 A pipeline 30 m long connects two tanks which have a difference of water level of 12 m. The first 10 m of pipeline from the upper tank is of 40 mm diameter and the next 20 m is of 60 mm diameter. At the change of section, a valve is fitted. Calculate the rate of flow when the valve is fully opened assuming that its resistance is negligible and that f for both pipes is 0.0054. In order to restrict the flow the valve is then partially closed. If k for the valve is now 5.6, find the percentage reduction in flow. Note the following Reservoir I Segment of Length Pipeline B Diameter (m) (mm) ABC AB 10 40 BC 20 60 Head loss due to friction h₁ = KQ² Valve fl K = 3.028D' Where, •h₂ = k Head loss due to partial closure (VAB-VBC) 2g Reservoir 2 H-12 m
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