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- What is the velocity (m/s) at section 4, if the d4=7.6 cm? The problem is steady and incompressible. 2 d=3 cm V=4 m/s water 1 d= 4 cm V= 2m/s discharge%-D0.005 misYou’ve sent your assistant out to measure the flow properties of a frictionlessrectangular flat channel. Your assistant returns with measurements for the depth (d2 =1.4 m), the specific discharge (q2 = 10.0 m2/s), and (somehow) the height of the energygrade line at 4.0 meters all at the downstream cross section. They haven’t done aspectacular job leaving you to solve for d1, q1, V1, and V2. There are two potentialanswers for d1 and V1.What is the velocity (m/s) at section 4, if the d4=10.4 cm? The problem is steady and incompressible. 2 d=3 cm V=4 m/s water d= 4 cm V= 2m/s discharge=0.005 mis A9 N
- 1. Three reservoirs are connected by individual pipes to junction O as shown on the figure below. Find the elevation of reservoir C in order that the discharge in pipe AO from reservoir A is 0.15 cubic meter per second. Use Darcy-Weisbach formula with f= 0.02. Draw the final hydraulic gradient line (HGL). Discharge, Q |(m³/s) 0.15 (out) Length, L (km) 1.40 Reservoir Diam., D (cm) WS elev. (m) A 35 145 ? 25 0.90 125 ? 30 1.60 A BWater flows steadily along a horizontal open channel of uniform width, over a broad-crested weir. The channel bed upstream from the weir (to the left) is d metres above the channel bed downstream from the weir (to the right), as shown in the figure below. The volume flow rate per unit width is Q = 6 m? s-1, and upstream the depth of the water is h1 = 3 m. Take the magnitude of the acceleration due to gravity as g = 10 ms 2. hi D p. h2 U2 (a) Find the upstream speed u1, and show that the flow is subcritical there. (b) Find the specific energy E (in m) for the flow upstream. (c) By applying Bernoulli's equation along a suitable streamline, show that the depth h2 in the downstream section of the channel satisfies the equation 5h – (16 + 5d)h+9 = 0.The second question: Answer the following briefly:۔ (1) What is the purpose and practical benefit of calculating the pressure center, and when is the amount of force calculated and its direction and center of influence calculated? (2) What does Bernoulli's theory state? (3) What is hydraulic ramp line (H.G.L).
- On a circular conduit there are different diameters: diameter D1 = 2 m, changes into D2 = 3 m. The velocity in the entrance profile was measured: v1 = 3 m/s. Calculate the discharge and mean velocity at the outlet profile (see figure below). Determine also type of flow in both conduit profiles (whether the flow is laminar or turbulent) – temperature of water T = 12° C. (use Reynold's number Re), For laminar flow: Re2320, Kinematic viscosity of water of 12°C, v is equal to 1,24 10^-6 m2/s %3D %3D VD, D2 FigureOn a circular conduit there are different diameters: diameter D1 = 2 m, changes into D2 = 3 m. The velocity in the entrance profile was measured: v1 = 3 m/s. Calculate the discharge and mean velocity at the outlet profile (see figure below). Determine also type of flow in both conduit profiles (whether the flow is laminar or turbulent) – temperature of water T = 12° C. (use Reynold’s number Re), For laminar flow: Re<2320, For turbulent flow Re>2320, Kinematic viscosity of water of 12°C, v is equal to 1,24 10^-6 m2/s.Problem Set No. 1 1. A 200 kg chunk of lead falls from a height of 30 m and smashes into a rigid concrete floor. Calculate the increase in the internal energy AU (MJ), assuming that no energy is transferred as heat from the lead. 2. Assess the capabilities of a hydroelectric power plant from the following field data: Estimated water flow rate, 40 m³/s River inlet at 1 atm, 10 °C Discharge at 1 atm, 10.2 °C, 200 m below the intake 3. How much energy transfer as heat is required to evaporate completely 1 kg of nitrogen for a constant pressure process, with T = 89.5 K? 4. One kg of CO₂ is heated in a 0.5 m³ vessel from -18 °C to 93 °C. Determine the initial and final states, and the amount of energy transfer as heat to the CO2. 5. The condensate pump on the Navaho power plant raises the water pressure from 3.5 in of mercury to 390 psia at a flow rate of 5,100 gal/min. If the pump isentropic efficiency is 0.8, calculate the power required in hp. 6. Calculate the thermal efficiency of a…
- Water áows in a rectangular channel of width, w. In some cases, the water may suddenly increase in elevation as shown in the figure (from h1 to h2) through a highly disturbed region called a hydraulic jump. Assume the velocity is uniform at stations 1 and 2, and assume the pressures are distributed hydrostatically. Using the Bernoulli equation and whatever other necessary equation(s), finnd the equation (cubic) for the downstream depth, h2, in terms of h1, V1, and g.A triangular gutter with side slope at angle 60 • has a depth 300 mm. Find the velocity of water, if the slope of the gutter bed is 0.01 ? (c=50) 30 300 mm 60 O 1.36 m/s O 2.36 m/s O 0.136 m/s* Q5// In the fig. shown find discharge (Q). note that :Pwater = 1 kg/m3; Pmerciry = 13.6 kg/m3 D=150mm D=75mm Water 1 (2) water. T 750 mm 1 mercury