1. Oil of density 860 kg/m3 has a kinematic viscosity of 40 cSt. Calculate the critical velocity when it flows in a pipe 50 mm bore diameter.
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A: Given data in question Kinematic viscosity Length Diameter Rate To find out Head loss
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- A horizontal, circular pipe connects two big reservoirs, 1 and 2. The length of the pipe is 100 m. The pipe diameter is suddenly increased from 300 to 600 mm at the midpoint between the two reservoirs. The loss coefficient at the pipe entrance is 0.50. The frictional coefficients in the smaller and larger pipes are 0.030 and 0.020, respectively. The water flow rate, Q, is 18 m3/min. Calculate the water surface height difference, H.2. A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 25 m and the average width is 4 km. The hydraulic conductivity of the aquifer was obtained at 40 m/day and its void ratio is 0.3333. The piezometer heads in two wells 1.325 km apart are 65 meters and 60 meters from a common reference datum. Determine the rate of flow in cubic meters per day. Determine: •compute the rate of flow through the aquifer in m3/day •compute the seepage velocity in m/day •compute the time of travel from the head of the aquifer to a point 8 km downstream in daysOil (SG = 0.89), with a kinematic viscosity of 0.007 ft2/s, flows in a 3-in.-diameter pipe at 0.049 ft3/s. Determine the head loss per unit length of this flow.
- A 500 m long levee made of compacted clay impoundswater in a reservoir as shown in attached Figure There is a 1 mthick (measured in the direction perpendicular to the seam)sand seam continuing along the entire length of the levee, at10° inclination to the horizontal, which connects the reservoirand the ditch. The hydraulic conductivity of the sand is2.6 X 10-3 cm/s. Determine the volume of water that flowsinto the ditch every day.1. A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 18 m and the average width is 8 km. The hydraulic conductivity of the aquifer was obtained at 60 m/day and its void ratio is 0.1586. The piezometer heads in two wells 2,145m apart are 128 meters and 188 meters from a common reference datum. Determine: •compute the rate of flow through the aquifer in m3/day •compute the seepage velocity in m/day •compute the time of travel from the head of the aquifer to a point 8 km downstream in daysSand is contained in a hopper that is in the shape of an inverted circular cone. Sand flows out of the vertex ata rate of 10 m3 /min. The cone has a height of 10 m and a rope diameter of 12 m. Find the rate at which the surface level of the sand is falling when the depth of the sand is 3m above the vertex. a. The surface level of the sand is falling at a rate of 125/9pi m/min b. The surface level of the sand is falling at a rate of 125/162pi m/min c. The surface level of the sand is falling at a rate of 10/9pi m/min d. The surface level of the sand is falling at a rate of 259/81pi m/min
- B- A 20cm diameter well penetrates fully a confined aquifer of thickness 25m .when the well is pumped at a rate of 200 liters/ minute the drawdown in two observaƟons wells located at 10m and 100m distance from center of well are found to be 3.5m and 0.05 m respectively .calculate the hydraulic conductivity of the aquifer and the radius of influence and the drawdown in the well.?trench 80 ft long is excavated 500 ft away and is parallel to a riverbank. A sand aquifer is 40 ft thick The river water surface is 50 ft above the horizontal bottom of the aquifer. If the water depth in the trench must be maintained at 10ft, at what rate must water be pumped from the trench? How far from the trench will the aquifer cease to be saturated? Use K of sand = 30 ft/dayWater in a hydraulic press, initially at 137kPa absolute, is subjected to a pressure of 280 kPa absolute. Using E=2.5GPa, determine the percentage decrease in the volume of water?
- FUNDAMENTALS OF GEOTECHNICAL ANALYSIS A fine sand sample is placed into a permeameter that supplies a constant head of 100 cm ofwater. Water flows through the sample area of 20 cm2, and its length of 25 cm. If 850 ml of water is collected in 80 seconds, what is the hydraulic conductivity, kHYD in cm/s? a) Calculate the flow rate in cm3/s if the head is increased to 140 cm.For a single pipe, 8000' long and 6"" in diameter, with a Darcy-Weisbach friction factor of 0.07, what would be the head loss coefficient K for use in the head loss calculation KQ^2?" 451.1 103.5 17.3 64.4Figure 2 represents an oil storage drum that is open to the atmosphere at the top. Some water was accidentally pumped into the tank and settled to the bottom as shown in the Figure 2. Calculate the depth of the water h2 if the pressure gage at the bottom reads 158 kPa (gage). The total depth hT = 18.0 m