Please Show work Assume that the wall shear stress, Tw, created when a fluid flows through...
Question 1: Derive an expression for the shear stress at the pipe wall when an incompressible fluid flows through a pipe under pressure. Use dimensional analysis with the following significant parameters: pipe diameter D, flow velocity V, fluid viscosity u and density, p of the fluid.
Engineering Fluid Mechanics
PO 17: Water flows through a section of a pipe of length L and diameter D as indicated in the figure. The pipe has a roughness of k, = 0.3mm. The discharge is Q = 1m/s. The kinematic viscosity of water is V = 10 m/s. (a) What is the friction factor ? (Moody diagram on next page). (b) What is the head loss over the pipe section of length L? (c) What horizontal force is required...
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, straight pipe with circular cross section of diameter D=0.2 m. The volumetric flow rate is 0.01 m°/s. Argue that this is turbulent flow. [4 marksl а. Pressure drop in the pipe is due to friction. The pressure drop per unit length can be written as Др 4f L with U the average velocity in the pipe and fthe friction factor. Given the pipe...
fundamental of fluid mechanics
H.W: To design a circular pipe, determine the wall shear stress. Assume the fluid is water at 60 F. Also find the force on a 100 length of pipe. -4P 22 2 -10
Water, with a kinematic viscosity of 1.21x10 square feet/second, flows from reservoir A to B as shown in the figure. The pipe has a roughness height of 0.0005-feet, flowrate of 26 cfs, elbows with loss coefficients of 0.2, and a friction factor of 0.019. a) Determine the pipe diameter. b) Sketch the EGL and HGL Elevation z1 = 44 ft (1) w Total length = 1700 ft A Elevation Z2 = 0 V (2) D B
Q1. A fluid of specific gravity 0.90 flows at a Reynolds number of 1500 in a pipeline with diameter 0.3 m. The velocity at 100 mm from the wall is 3 m/s. Calculate the flowrate and the velocity gradient at the wall. Q2. Water flows through a pipe AB of diameter d = 50 mm, which is in series with a pipe BC of diameter d2 = 75 mm in which the mean velocity V2 = 2 m/sec. Q1 =...
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Oil flows through an 8-inch diameter pipe with a velocity of 18 ft/s. If it discharges into the atmosphere through the nozzle, determine the total force the bolts must resist at the connection AB to hold the nozzle onto the pipe. Assume Yo = 55 lb/ft3. (30 pts) 8 in. 4 in. 18 m/s 06 PROB011 Research is being conducted on a medical specimen. They are trying to determine the pressure drop in fluid carrying vessels. If...
Problem #6 Water flows upward through a vertically positioned pipe measuring 3 cm in diameter. Wall shear stress on the pipe is 2 N/m2 . Calculate the pressure drop across 1 m length of the pipe.
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as + For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as 4wr -R)+ (r-R), where AP/L is the constant pressure drop along the pipe per unit length, is the dynamic viscosity,r is the radial distance from the centerline, and is the yield stress of Bingham plastic. Develop a relation for (a) the shear...
Water with density of p=1.94 slug/ft3 and dynamic viscosity of 2.34X10-5 slug/ft.s flows from the basement to the second floor through the 0.75 in (0.0625 ft)-diameter copper pipe (a drawn tubing wit e=0.000005 ft) at a rate of Q=12.0 gal/min=0.0267 ft3/s and exits through a faucet of diameter 0.50 in. as shown in the figure K1 = 2 based on pipe velocity -10 ft- 10 ft (7)|(8) (2) (6) 0.75-in.-diameter copper pipe 5 ft 10 ft Wide open globe valve...