channel flow has a parabolic velocity distribution, which may be represented by the equation u(y) = 0.2(1 – y2) m/s, where y is measured in centimeters. What is the acceleration of a fluid particle on the centerline with y=0? Where does y=0.5cm?
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- A horizontal pipe carries a smoothly flowing liquid of density of 1290 kg/m3. At Locations 1 and 2 along the pipe, the diameters are ?1=6.97 cm and ?2=2.65 cm, respectively. Is the flow speed at Location 2 higher or lower than the flow speed at Location 1? cannot tell from the data higher lower The flow speed at Location 1 is 1.39 m/s. What is the pressure difference Δ? between Location 2 and Location 1 (including its sign)? Ignore viscosity. Δ?= Pa Is the pressure at Location 2 higher or lower than the pressure at Location 1? lower higher cannot tellA liquid of density 1390 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.87 m/s and the pipe diameter ?1 is 11.7 cm. At Location 2, the pipe diameter ?2is 16.9 cm. At Location 1, the pipe is Δ?=8.27 m higher than it is at Location 2. Ignoring viscosity, calculate the difference Δ? between the fluid pressure at Location 2 and the fluid pressure at Location 1.Air is evacuated from a vacuum chamber and the flow rate is measured. A section of circular plumbing is removed and replaced with a piece having a radius that is half the size of the original. The flow rate is measured again. What is the ratio of the new flow rate to the old flow rate?
- An ideal fluid, of density 0.90 x 103 kg/m3, flows at 6.0 m/s through a level pipe with radius of 0.50 cm. The pressure in the fluid is 1.3 x 105 N/m2. The pipe slopes up where it becomes level again. If the pressure P drops by 10%, find the change in height of the pipe, \Deltay. (Hint: the speed of flow remains constant). A. 6.2 m 8.31 m C. 0.5 m D.15ma) What is the fluid speed (in m/s) in a fire hose with a 7.00 cm diameter carrying 73.0L of water per second? m/s b) What is the flow rate in cubic meters per second? m³/s (c) Would your answers be different if salt water replaced the fresh water in the fire hose? Yes, because the velocity and the flow rate are inversely proportional to the fluid's density. Yes, because the velocity and the flow rate are directly proportional to the fluid's density. No, because the velocity and the flow rate are independent of the fluid's density. No, because the velocity and the flow rate are approximately equivalent to the fluid's density. MacBook Submit Answera stiff, 15-cm-long tube with an inner diameter of 3.5 mm is attached to a small hole in the side of a tall beaker. the tube sticks out horizontally. the beaker is filled with 20⁰c water to a level 50 cm above the hole, and it is continually topped off to it maintain that level. What is volume flow rate through the tube? The viscosity of water is 1.0×10^-3 Pa×s.
- A liquid of density 1370 kg/m³ flows steadily through a pipe 7. of varying diameter and height. At Location 1 along the pipe, d, the flow speed is 9.13 m/s and the pipe diameter dj is 10.3 cm. At Location 2, the pipe diameter d2 is 16.1 cm. At Location 1 Location 1, the pipe is Ay = 9.05 m higher than it is at Location 2. Ignoring viscosity, calculate the difference AP between the fluid pressure at Location 2 and the fluid pressure at Location 1. Ду Location 2 ΔΡ- Ра d,Water is moving at a speed of 2.05 m/s through a hose with an internal diameter of 1.85 cm. What is the flow rate, in liters per second? The fluid speed in this hose’s nozzle is 15.0 m/s. What is the nozzle’s inside diameter, in centimeter?A liquid of density 800 kg/m³ flows through a horizontal pipe that has a cross- sectional area of 200 cm² in region 1 and a cross-sectional area of 700 cm² in region 2. The pressure difference between the two regions is 6000 Pa. (а) (b) (c) Which region, 1 or 2, has higher pressure and why? What is the fluid's velocity in region 1 and 2, respectively? What is the mass flow rate? 4.
- If a kitchen sink has a volume of 20 L. Water flows in the sink with a mass flow rate of 0.5 kg/s. If the drain is closed, how long, in seconds, does it take for the sink to fill up? Density of water = 1000 kg/m3A liquid of density 1310 kg/m³ flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.61 m/s and the pipe diameter di is 10.1 cm. At Location 2, the pipe diameter d₂ is 17.9 cm. At Location 1, the pipe is Ay = 9.19 m higher than it is at Location 2. Ignoring viscosity, calculate the difference AP between the fluid pressure at Location 2 and the fluid pressure at Location 1. AP= Pa Location 1 z Ay Location 2 d₂A liquid of density 1290 kg/m³ flows steadily through a pipe of varying diameter and height. At Location 1 along the d, pipe, the flow speed is 9.37 m/s and the pipe diameter di is Location 1 12.5 cm. At Location 2, the pipe diameter d2 is 15.3 cm. At Location 1, the pipe is Ay = 9.75 m higher than it is at Location 2. Ignoring viscosity, calculate the difference AP between the fluid pressure at Location 2 and the fluid Ay pressure at Location 1. Location 2 AP = Pa d,