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Water exerts pressure on the upstream face of a dam as shown in Fig. P24.23. The pressure can be characterized by
FIGURE P24.23
Water exerting pressure on the upstream face of a dam: (a) side view showing force increasing linearly with depth; (b) front view showing width of dam in meters.
Use Simpson's rule to compute
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Chapter 24 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
- 24. Fluid A is H20 (PH2O = 62.1 lbm/ft) while fluid B is mercury (Phg = 0.488 lbm/in), compute the height z if the pressure at x is 5.4 psi vacuum, the distance y = (4- 0.5 z) ft and local acceleration of gravity is standard. %3D Open Fluid A Fluid B 米-arrow_forwardStep by Step An object has a denisty of 1.2 slug/ft^3 and a total volume of 12 ft^3. What is the weight of the object?arrow_forward3. A pump discharges 126 liters per second of brine (sp.gr.1.20). The pump inlet, 304.8 mm diameter, is at the same level as the outlet, 203.2 mm in diameter. At the inlet, the vacuum is 152.4 mm Hg. The center of the pressure gauge connected to the pump discharge flange is 122 cm. The gauge reads 138 KPag. For a pump efficiency of 83%, what is the power output of the motor? 122 cm. PUMParrow_forward
- The mass of a fluid system is 0.311 slug, its density is 480 kg/m^3 and g is 31.9 fps. Find (a) the specific volume. Find (b) the specific weight.Find (c) the total volume.arrow_forwardAs shown in Fig. 1.12, a horizontal interface 0-0 exists between two immiscible liquids. The dynamic viscosity of these two liquids are 0.14 Pa sand 0.24 Pa s respectively. The thickness is d1 0.8 mm and d2 1.2 mm respectively. Assuming that the velocity gradient is linear. Find theforce F required to push a bottom area A 1000 cm2 wood board to movewith velocity v0 0.4 m/s along the surface?arrow_forwardfluid mechanics A pipe 200 (mm) diameter carries Oil at a flow rate of 0.030 (m³/s). The pipe diameter reduces from 200 (mm) to 150 (mm). Point 1 is located at the beginning of the pipe and point 2 is located at the end of the pipe. Elevation of point 1 is 165 (m) lower than elevation of point 2. Water pressure at point 2 is atmospheric pressure. Water flow in the pipe ascending from point 1 to point 2. Total head losses of flow in the pipe equals to 15 (m). 1- Find the value of pressure head of Oil at point 1. 2- Draw the H.G.L. of flow in the pipe.arrow_forward
- Question 4: The power of a pump in a water pipe network, W, depends on average velocity, U, the water density, p, the pipe diameter, D, water pressure, P, volumetric flow rate, Q and dynamic viscosity, μ. Express these variables in non-dimensional form using Buckingham Pi Theoremarrow_forwardFind the pressure difference between points A and B. (1,3,5,7,9): Liquid is Chloride with density 1490 kg/m³ and H = 25 cm. Liquid Oil (sg = 0.90) %3D 12 A cm 16 H 12 cm cm cm cm Mercury (sg = 13.54)arrow_forwardA cylindrical storage tank is 10m high and 25m in diameter. It is filled to a depth of 9.93 m with oil, having a coefficient of volumetric expansion of 4.4 x 10-4 / °C. To the nearest degree, how much will the temperature of the oil have to change to completely fill the tank. Consider only the oil; neglect the expansion of the tank itself. [16.0 °C]arrow_forward
- Q.1 The barometer reads 740 mm of Hg, what would be the absolute pressure? Let intensity of pressure be 30 kPa and take specific gravity of mercury = 13.6 A 10.064 bar В 13.022 bar C C 4.59 bar D 1.28 bararrow_forward5) A cylindrical bucket 150 mm in diameter and 200 mm high contains 150 mm of water. A boy swings the bucket on a vertical plane so that the bottom of the bucket describes a circle of radius 1 m. how fast should it be rotated so that no water will be spilled? Answer: 31.13rpm Subject: Fluid Mechanic Lesson: Relative Equilibrium of Liquids Fundamentals of Fluid Flowarrow_forwardA certain gas weighs 16 N/m^3 at a certain temperature and pressure. What are the values of its density, specific volume, and specific gravity relative to air weighing 12N/m^3?arrow_forward
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