Chapter 10, Problem 10.4P

A rectangular channel with a width of B = 2 m drains water with a discharge of Q = 2,4 m3/s. The depths of water at an adjacent point are 1,5 m and 1,4 m. If the Chezy coefficient is 50 and the slope of the Io channel base = 0,0004, calculate the distance between the two faces. Continue to normal depth with the direct step method.

If we examine the figure of vajont valley, note the wide U shaped profile of the upper (outer) portion of the valley as opposed to the steep V shaped profile of the lower (inner) portion of the valley.. Can you explain why this form exists? Is the form meaningful in terms of the dam?

The sequent depth ratio of a hydraulic jump in a rectangular channel is 12. What would be the corresponding Froude number at the beginning of the jump?

A layer of silty soil of thickness 5 m lies below the ground surface at a particular site and below thesilt layer lies a clay stratum. The ground water table is at a depth of 4 m below the ground surface. The following data are available for both the silt and clay layers of soil.           Silt layer: ?10= 0.018 mm, e= 0.7, and Gs = 2.7           Clay layer: e = 0.8 and Gs = 2.75 Required: (a) Height of capillary rise, (b) capillarypressure, (c) the effective pressure at theground surface, at groundwater table (GWT)level, at the bottom of the silt layerand at a depth of H =6 m below groundlevel, and (d) at a depth 2 m below ground level.(Sketch or draw the stress distribution diagram).

Aquifer area extent 100 km/sq is overlain by 4 strata as given below: Strata 1 (top): Thickness = 1, Kx (m/day) = 1, Ky (m/day) = 0.25 Strata 2: Thickness = 3, Kx (m/day) = 2, Ky (m/day) = 0.3 Strata 3: Thickness = 2, Kx (m/day) = 1.5, Ky (m/day) = 0.2 Strata 4: Thickness = 4, Kx (m/day) = 0.025, Ky (m/day) = 0.005 (1) If a 4 hour storm occurs producing a total rainfall of 100mm, estimate the recharge into the aquifer assuming the piezometric surface in the aquifer is at the bottom layer 4 and all layers are saturated. (2) If the 4 layers are underlain by an impermeable strata instead of aquifer. Estimate the lateral flow per unit weight through the layers ASSUMING that the layer is deep by 0.1%

) Evaluate the stability of the 3 m wide x 4 m deep (into the page) x 2 m tall block with a SG of 0.5 shown below in seawater (SG = 1.03) by determining the displaced depth and the metacenter height.

Given data: Depth of Clay layer =4Depth of Sand layer=2unit weight of clay kN/m3=23unit weight of sand kN/m3 =21Ø in both layers=30C´= 0

A trapezoidal channel with 3.0 bottom width and 1:1 side slope carries a discharge of 10?3 ? at a slope of 12cm/km. A hydraulic jump is formed in the channel with an initial depth of 0.6 m. Calculate the momentum function, the critical depth, and the conjugate depth.

Given the following data for a stream of uniform flow: A = 8.98 sq.m. (average stream cross section) P = 10.76 m (Wetted perimeter) S = 0.008 (slope of stream bed) n = 0.020 (roughness coefficient). Assuming a constant stream bed slope and little variation in the cross section and condition of the bed, determine the Hydraulic radius