Problem 1P: Consider incompressible flow in a circular channel. Derive general expressions for Reynolds number... Problem 2P: What is the maximum flow rate of air that may occur at laminar condition in a 4-in.-diameter pipe at... Problem 3P: For flow in circular tubes, transition to turbulence usually occurs around Re 2300. Investigate the... Problem 5P: An incompressible fluid flows between two infinite stationary parallel plates. The velocity profile... Problem 6P: Oil is confined in a 4-in.-diameter cylinder by a piston having a radial clearance of 0.001 in. and... Problem 7P: Viscous oil flows steadily between parallel plates. The flow is fully developed and laminar. The... Problem 8P: Calculate for the flow in this two-dimensional passage if q is 1.5 m3/s m. P8.8 Problem 9P: The velocity profile in a two-dimensional open channel may be approximated by the parabola shown.... Problem 10P: A large mass is supported by a piston of diameter D = 4 in: and length L = 4 in. The piston sits in... Problem 11P: A hydraulic jack supports a load of 9000 kg. The following data are given: Estimate the rate of... Problem 12P: The basic component of a pressure gage tester consists of a piston-cylinder apparatus as shown. The... Problem 13P: When a horizontal laminar flow occurs between two parallel plates of infinite extent 0.3 m apart,... Problem 14P: In a laminar flow of water of 0:007 m3/s between parallel plates spaced 75 mm apart, the measured... Problem 15P: Consider the simple power-law model for a non-Newtonian fluid given by Eq. 2.16. Extend the analysis... Problem 16P: A sealed journal bearing is formed from concentric cylinders. The inner and outer radii are 25 and... Problem 17P: Using the profile of Problem 8.15, show that the flow rate for fully developed laminar flow of a... Problem 18P: In a laminar flow between parallel plates spaced 12 in. apart, the shear stress at the wall is 1.0... Problem 19P: A fluid of specific gravity 0.90 flows at a Reynolds number of 1500 between parallel plates spaced... Problem 20P: Two immiscible fluids are contained between infinite parallel plates. The plates are separated by... Problem 21P: The record-read head for a computer disk-drive memory storage system rides above the spinning disk... Problem 22P: Consider steady, incompressible, and fully developed laminar flow of a viscous liquid down an... Problem 23P: In a flow of air between parallel plates spaced 0.03 m apart, the centerline velocity is 1.2 m/s and... Problem 25P: Consider fully developed flow between parallel plates with the upper plate moving at U = 5 ft/s. The... Problem 27P: Free-surface waves begin to form on a laminar liquid film flowing down an inclined surface whenever... Problem 28P: A viscous-shear pump is made from a stationary housing with a close-fitting rotating drum inside.... Problem 29P: The efficiency of the viscous-shear pump of Fig. P8.29 is given by =6q(12q)(46q) where q = Q/abR is... Problem 30P: An inventor proposes to make a viscous timer by placing a weighted cylinder inside a slightly larger... Problem 31P: A continuous belt, passing upward through a chemical bath at speed U0, picks up a liquid film of... Problem 32P: A wet paint film of uniform thickness, , is painted on a vertical wall. The wet paint can be... Problem 34P: Consider first water and then SAE 10W lubricating oil flowing at 40C in a 6-mm-diameter tube.... Problem 35P: Using Eq. A.3 in Appendix A for the viscosity of water, find the viscosity at 20C and 120C. Plot the... Problem 36P: Consider fully developed laminar flow in the annulus between two concentric pipes. The outer pipe is... Problem 37P: Carbon dioxide flows in a 50-mm-diameter pipe at a velocity of 1.5m/s, temperature 66C, and absolute... Problem 38P: Consider fully developed laminar flow in a circular pipe. Use a cylindrical control volume as shown.... Problem 39P: What is the largest diameter of pipeline that may be used to carry 100 gpm of jet fuel (JP-4) at 59F... Problem 40P: Consider fully developed laminar flow in the annular space formed by the two concentric cylinders... Problem 41P: Consider fully developed pressure-driven flow in a cylindrical tube of radius, R, and length, L= 10... Problem 42P: In the laminar flow of an oil of viscosity 1 Pa_s, the velocity at the center of a 0.3 m pipe is... Problem 43P: In a laminar flow of 0.007 m3/s in a 75-mm-diameter pipeline the shearing stress at the pipe wall is... Problem 44P: Consider blood flow in an artery. Blood is non-Newtonian; the shear stress versus shear rate is... Problem 45P: The classic Poiseuille flow (Eq. 8.12), is for no-slip conditions at the walls. If the fluid is a... Problem 46P: For pressure-driven, steady, fully developed laminar flow of an incompressible fluid through a... Problem 47P: In a laminar flow in a 12-in.-diameter pipe the shear stress at the wall is 1.0 psf and the fluid... Problem 48P: A fluid of specific gravity 0.90 flows at a Reynolds number of 1500 in a 0.3-m-diameter pipeline.... Problem 49P: In a food industry plant, two immiscible fluids are pumped through a tube such that fluid 1(1 = 0.5... Problem 50P: A horizontal pipe carries fluid in fully developed turbulent flow. The static pressure difference... Problem 51P: Kerosene is pumped through a smooth tube with inside diameter D = 30 mm at close to the critical... Problem 52P: In a flow of water in a 0.3-m-diameter pipe, the centreline velocity is 6 m/s and that 50 mm from... Problem 53P: A liquid drug, with the viscosity and density of water, is to be administered through a hypodermic... Problem 54P: Laufer [5] measured the following data for mean velocity in fully developed turbulent pipe flow at... Problem 55P: Equation 8.23 gives the power-law velocity profile exponent, n, as a function of centerline Reynolds... Problem 56P: Consider fully developed laminar flow of water between stationary parallel plates. The maximum flow... Problem 57P: Consider fully developed laminar flow in a circular tube. Evaluate the kinetic energy coefficient... Problem 59P: If the turbulent velocity profile in a pipe 0.6 m in diameter may be approximated by = 3.56y1/7,... Problem 60P: Water flows in a horizontal constant-area pipe; the pipe diameter is 75 mm and the average flow... Problem 61P: For a given volume flow rate and piping system, will the pressure loss be greater for hot water or... Problem 62P: Consider the pipe flow from the water tower of Example 8.7. To increase delivery, the pipe length is... Problem 63P: At the inlet to a constant-diameter section of the Alaskan pipeline, the pressure is 8.5 MPa and the... Problem 64P: When oil (kinematic viscosity 1 104 m2/s, specific gravity 0.92) flows at a mean velocity of 1.5m/s... Problem 65P: When fluid of specific weight 50 lb/ft3 flows in a 6-in.-diameter pipeline, the frictional stress... Problem 66P: If the head lost in 30-m-diameter of 75-mm-diameter pipe is 7.6 m for a given flow rate of water,... Problem 67P: Water flows at 10 L/min through a horizontal 15-mmdiameter tube. The pressure drop along a 20-m... Problem 68P: Laufer [5] measured the following data for mean velocity near the wall in fully developed turbulent... Problem 69P: Water is pumped at the rate of 0.075 m3/s from a reservoir 20 m above a pump to a free discharge 35... Problem 70P: Just downstream from the nozzle tip the velocity distribution is as shown. Calculate the flow rate... Problem 71P: A horizontal nozzle having a cylindrical tip of 75 mm diameter attached to a 150-mm-diameter water... Problem 72P: When 0.3 m3/s of water flows through a 150-mm-diameter constriction in a 300-mm-diameter horizontal... Problem 75P: Water flows through a 2-in.-diameter tube that suddenly contracts to 1 in. diameter. The pressure... Problem 76P: A 50-mm-diameter nozzle terminates a vertical 150-mmdiameter pipeline in which water flows downward.... Problem 77P: A 12-in.-diameter pipe leaves a reservoir of surface elevation 300 at elevation 250 and drops to... Problem 78P: A water pipe gradually changes from 6-in.-diameter to 8-in.-diameter accompanied by an increase of... Problem 79P: Air at standard conditions flows through a sudden expansion in a circular duct. The upstream and... Problem 80P: Water flows from a larger pipe, diameter D1 = 100 mm, into a smaller one, diameter D2 = 50 mm, by... Problem 81P: Flow through a sudden contraction is shown. The minimum flow area at the vena contracta is given in... Problem 82P: A flow rate of 1.01/min of oil of specific gravity 0.92 exists in this pipeline. Is this flow... Problem 83P: Water flows in a smooth pipeline at a Reynolds number of 106. After many years of use, it is... Problem 84P: Air flows out of a clean room test chamber through a 150-mmdiameter duct of length L. The original... Problem 85P: A conical diffuser is used to expand a pipe flow from a diameter of 100 mm to a diameter of 150 mm.... Problem 86P: By applying the basic equations to a control volume starting at the expansion and ending downstream,... Problem 87P: Water at 45C enters a shower head through a circular tube with 15.8 mm inside diameter. The water... Problem 88P: Water discharges to atmosphere from a large reservoir through a moderately rounded horizontal nozzle... Problem 90P: A laboratory experiment is set up to measure pressure drop for flow of water through a smooth tube.... Problem 93P: Oil with kinematic viscosity = 7.5 104 ft2/s flows at 45 gpm in a 100-ft-long horizontal... Problem 94P: Water from a pump flows through a 9-in.-diameter commercial steel pipe for a distance of 4 miles... Problem 95P: A 5-cm-diameter potable water line is to be run through a maintenance room in a commercial building.... Problem 96P: A system for testing variable-output pumps consists of the pump, four standard elbows, and an open... Problem 97P: Two reservoirs are connected by three clean cast-iron pipes in series, L1 = 600 m, D1 = 0.3 m, L2 =... Problem 98P: Water, at volume flow rate Q = 0.75 ft3/s, is delivered by a fire hose and nozzle assembly. The hose... Problem 100P: When you drink a beverage with a straw, you need to overcome both gravity and friction in the straw.... Problem 101P: What flow rate (gpm) will be produced in a 75-mm-diameter water pipe for which there is a pressure... Problem 103P: Gasoline flows in a long, underground pipeline at a constant temperature of 15C. Two pumping... Problem 104P: An 18-in.-diameter new riveted steel pipeline 1000 ft long runs from an elevation of 150 ft to an... Problem 105P: What diameter of smooth masonry pipe is needed to carry 50 cfs between two reservoirs of surface... Problem 107P: Water flows steadily in a 125-mm-diameter cast-iron pipe 150 m long. The pressure drop between... Problem 108P: Two galvanized iron pipes of diameter D are connected to a large water reservoir, as shown. Pipe A... Problem 109P: A mining engineer plans to do hydraulic mining with a high-speed jet of water. A lake is located H =... Problem 110P: The flow of water through a 150-mm-diameter horizontal pipe that enlarges abruptly to 300 mm... Problem 111P: The fluid flowing has specific gravity 0.90; V75=6 m/s; R = 105. Calculate the gage reading. P8.111 Problem 112P: Water is flowing. Calculate the direction and magnitude of the manometer reading. P8.112 Problem 113P: Investigate the effect of tube roughness on flow rate by computing the flow generated by a pressure... Problem 114P: Investigate the effect of tube length on water flow rate by computing the flow generated by a... Problem 115P: For the pipe flow into a reservoir of Example 8.5 consider the effect of pipe roughness on flow... Problem 116P: Calculate the magnitude and direction of the manometer reading. Water is flowing. P8.116 Problem 117P: Experimental determination of local losses and loss coefficients are made from measurements of the... Problem 118P: Water is flowing. Calculate the gage reading when the velocity in the 12-in.-diameter pipe is 8... Problem 119P: The siphon shown is fabricated from 50-mm-i.d. drawn aluminum tubing. The liquid is water at 15C.... Problem 120P: A large open water tank has a horizontal cast iron drainpipe of diameter D = 1 in. and length L = 2... Problem 121P: A tank containing 30 m3 of kerosene is to be emptied by a gravity feed using a drain hose of... Problem 122P: A 90 screwed elbow is installed in a 2-in.-diameter pipeline having a friction factor of 0.03. The... Problem 123P: Calculate the total tension in the bolts. Neglect entrance loss. The pipe is 30 m long, the diameter... Problem 124P: A horizontal 50-mm-diameter PVC pipeline leaves (square- edged entrance) a water tank 3 m below its... Problem 125P: You are watering your lawn with an old hose. Because lime deposits have built up over the years, the... Problem 126P: Your boss claims that for pipe flow the flow rate, Qp, where p; is the pressure difference driving... Problem 127P: A hydraulic press is powered by a remote high-pressure pump. The gage pressure at the pump outlet is... Problem 128P: One-quarter of a cubic meter per second of liquid at 20C is to be carried between two tanks having a... Problem 129P: Calculate the flow rate from this water tank if the 6 in. pipeline has a friction factor of 0.020... Problem 130P: A 6-ft-diameter pipeline 4 miles long between two reservoirs of surface elevations 500 and 300 ft... Problem 132P: A new industrial plant requires a water flow rate of 5.7 m3/min. The gage pressure in the water... Problem 133P: What diameter water pipe is required to handle 0.075 m3/s and a 500 kPa pressure drop? The pipe... Problem 134P: A pipe friction experiment for air consists of a smooth brass tube with 63.5 mm inside diameter; the... Problem 135P: Oil has been flowing from a large tank on a hill to a tanker at the wharf. The compartment in the... Problem 136P: The pressure rise across a water pump is 35 psi when the volume flow rate is 500 gpm. If the pump... Problem 137P: Cooling water is pumped from a reservoir to rock drills on a construction job using the pipe system... Problem 138P: You are asked to size a pump for installation in the water supply system of the Willis Tower... Problem 139P: Heavy crude oil (SG = 0.925 and = 1.0 104 m2/s) is pumped through a pipeline laid on flat ground.... Problem 140P: Petroleum products are transported over long distances by pipelines such as the Alaskan pipeline... Problem 142P: The head versus capacity curve for a certain fan may be approximated by the equation H = 30 107 Q2,... Problem 143P: A swimming pool has a partial-flow filtration system. Water at 75F is pumped from the pool through... Problem 144P: Water at 65C flows through a 75-mm-diameter orifice installed in a 150-mm-ID pipe. The flow rate is... Problem 146P: A 12 in. 6 in. Venturi meter is installed in a horizontal waterline. The pressure gages read 30 and... Problem 147P: A 1-in.-diameter nozzle is attached to a 3-in.-diameter hose. What flow rate of water will occur... Problem 148P: A sharp-edged orifice with conventional pressure connections and an orifice coefficient of K = 0.6... Problem 149P: A venturi meter with a 3-in.-diameter throat is placed in a 6-in.-diameter line carrying water at... Problem 150P: Air flows through a venturi meter with a 3-in.-diameter throat placed in a 6-in.-diameter line.... Problem 151P: Water at 10C flows steadily through a venturi. The pressure upstream from the throat is 200 kPa... Problem 152P: Drinking straws are to be used to improve the air flow in a pipe-flow experiment. Packing a section... Problem 153P: In some western states, water for mining and irrigation was sold by the miners inch, the rate at... format_list_bulleted