A pressure difference of 6.00 * 10^4 Pa is required to maintain a volume flow rate of 0.800 m3/s for a viscous fluid flowing through a section of cylindrical pipe that has radius 0.210 m. What pressure difference is required to maintain the same volume flow rate if the radius of the pipe is decreased to 0.0700 m?
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A pressure difference of 6.00 * 10^4 Pa is required to maintain
a volume flow rate of 0.800 m3/s for a viscous fluid flowing
through a section of cylindrical pipe that has radius 0.210 m. What pressure
difference is required to maintain the same volume flow rate if the
radius of the pipe is decreased to 0.0700 m?
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- At a soft drink bottling plant, a horizontal section of pipe carrying citric acid in liquid form goes from a cross-sectional area of 8.00 cm2, fluid flow speed of 200 cm/s, and pressure of 1.40 105 Pa to a section of pipe with a cross-sectional area of 3.50 cm2. The density of the citric acid is 1660 kg/m3. For the section of smaller pipe, determine the liquid flow speed and the liquid pressure. (a) the liquid flow speedm/s(b) the liquid pressurePaA patient is receiving saline solution from an intravenous (IV) system. The solution passes through a needle of length 2.1 cm and radius 0.195mm. There is an 8.00 mm-Hg gauge pressure in the patient's vein.Use the density of seawater, 1025 kg/m3, for the solution. Assume its viscosity at 20 °C is 1.002×10−3 Pa·s. a. The actual volume flow rate of the saline solution through the IV system is determined by its passage through the needle. Find the volume flow rate, in cubic centimeters per second, when the saline solution surface is 1.25 m above the patient’s vein.Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.65 ✕ 105 Pa and the pipe radius is 2.60 cm. At the higher point located at y = 2.50 m, the pressure is 1.29 ✕ 105 Pa and the pipe radius is 1.40 cm. a) Find the speed of flow in the lower section. b) Find the speed of flow in the upper section. c) Find the volume flow rate through the pipe.
- Find the pressure difference required between the ends of a 2.00 m long, 1.00 mm diameter horizontal tube for 40° C water to flow through it at an average speed of 4.0 m/s. Water at 40° has a viscosity of 0.7 x 10-3 Pa s. The pressure difference is equal to ______x105 Pa. Recall the equation for volume flow rate with viscosity: Δ?Δ?=??4Δ?8??Water is flowing through a pipe with a constriction. The area of the narrow section is one-half the area of the wide section. If the velocity of the incompressible fluid is 3.2 m/s in the narrow section, then what is the velocity of the fluid in the wide section? Multiple Choice 0.9 m/s 1.0 m/s 1.6 m/s 1.8 m/s 1.9 m/sA 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 d₂