Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 8, Problem 175P
Consider air flow in a 10-cm-diameter high velocity so that the Reynolds number is very
roughness of the pipe is 0.002 mm. The friction factor for this flow is
(a) 0.0311 (b) 0.0290 (C) 0.0247 (d) 0.0206 (e) 0.0163
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We are interested in pumping biodiesel between two pumping stations that are 300 km
apart, being the second pumping station 300 m higher than the first one. We need a flow
rate of 0.7 m/s using a 30 in i.d. commercial steel pipe. The pressure at the first station is
120 kPa and at the second stations it needs to be 350 kPa. Considering a kinematic
viscosity for biodiesel of 4.09 x10 - 5 m²/s and a density of 874.6 kg/m?, determine the
power required to pump the biodiesel from station 1 to station 2. Assume the flow is fully
developed.
A fluid is flowing through a pipe with diameter of d = 6 mm at a mean flow velocity of V = 0.01 m/s.
The viscosity of the fluid is μ = 8.9e - 4 Pa. s and the density is p = 998 kg/m³.
Please provide your answers to 4 significant figures.
(a) What is the Reynolds Number for the fluid flow?
Re=
(b) What is the friction factor for this fluid flow?
f=
Chapter 8 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 8 - Consider the flow of air and wale in pipes of the...Ch. 8 - Consider laminar flow in a circular pipe. Is the...Ch. 8 - What is hydraulic diameter? How is it defined?...Ch. 8 - How is the hydrodynamic entry length defined for...Ch. 8 - Why are liquids usually transported in circular...Ch. 8 - What is the physical significance of the Reynolds...Ch. 8 - Consider a person walking first in air and then in...Ch. 8 - Show that the Reynolds number for flow in a...Ch. 8 - Which fluid at room temperature requires a larger...Ch. 8 - What is the eneia1Iy accepted value of the...
Ch. 8 - How does surface roughness affect the pressure...Ch. 8 - Shown here is a cool picture of water being...Ch. 8 - Someone claims that the volume flow rate in a...Ch. 8 - Someone claims that the average velocity in a...Ch. 8 - Someone claims that the shear stress at the center...Ch. 8 - Someone claims that in fully developed turbulent...Ch. 8 - How does the wall shear stress w , vary along the...Ch. 8 - What fluid property is responsible for the...Ch. 8 - In the fully developed region of flow in a...Ch. 8 - How is the friction factor for flow in a pipe...Ch. 8 - Discuss whether fully developed pipe flow is one-,...Ch. 8 - Consider fully developed flow in a circular pipe...Ch. 8 - Consider fully developed laminar how in a...Ch. 8 - Explain why the friction factor is independent of...Ch. 8 - What is turbulent viscosity? What caused it?Ch. 8 - The head toss for a certain circular pipe is given...Ch. 8 - Consider fully developed laminar flow in a...Ch. 8 - How is head loss related to pressure loss? For a...Ch. 8 - Consider laminar flow of air in a circular pipe...Ch. 8 - What is the physical mechanism that causes the...Ch. 8 - The velocity profile for the fully developed...Ch. 8 - Prob. 32PCh. 8 - Water at 10°C ( =999.7kg/m3 and =1.307103kg/ms )...Ch. 8 - Consider an air solar collector that is 1 m wide...Ch. 8 - Heated air at 1 atm and 100F is to be transported...Ch. 8 - In fully developed laminar flow in a circular...Ch. 8 - The velocity profile in fully developed laminar...Ch. 8 - Repeat Prob. 8-36 for a pipe of inner radius 7 cm.Ch. 8 - Water at 15°C (p = 999.1 kg/m3 and = 1.138 × 10-3...Ch. 8 - Prob. 40PCh. 8 - Consider laminar flow of a fluid through a square...Ch. 8 - Repeat Prob. 8-39 for tribulent flow in smooth...Ch. 8 - Prob. 43PCh. 8 - Water at 70F passes through...Ch. 8 - Oil with p = 876 kg/m3 and = 0.24 kg/m.s is...Ch. 8 - Glycenii at 40 C with p = l22 kg/m3 and = 0.27...Ch. 8 - Air at 1 atm and 60 F is flowing through a 1 ft ×...Ch. 8 - Water enters into a cone of height H and base...Ch. 8 - The velocity profile for incompressible turbulent...Ch. 8 - Oil with a density of 850 kg/m3 and kinematic...Ch. 8 - In an air heating system, heated air at 40 C and...Ch. 8 - Glycerin at 40 C with p = 1252 kg/m3 and = 0.27...Ch. 8 - Oil at 80°F ( =56.8lbm/ft3 and =0.0278lbm/fts ) is...Ch. 8 - Liquid ammonia at 20 C is flowing through a...Ch. 8 - During a retrofitting project of a fluid flow...Ch. 8 - Define equivalent length for minor loss in pipe...Ch. 8 - The effect of rounding of a pipe inlet on the loss...Ch. 8 - The effect of rounding of a pipe exit on the loss...Ch. 8 - Which has a greater minor loss coefficient during...Ch. 8 - A piping system involves sharp turns, and thus...Ch. 8 - What is minor loss in pipe flow? How is the minor...Ch. 8 - Water is to be withdrawn from an 8-m-high water...Ch. 8 - Consider flow from a water reservoir through a...Ch. 8 - Repeat Prob. 8-62 for a slightly rounded entrance...Ch. 8 - A horizontal pipe has an abrupt expansion from...Ch. 8 - Water is pumped from a large lower reservoir to a...Ch. 8 - A piping system equipped with a pump is operating...Ch. 8 - Prob. 69CPCh. 8 - Consider two identical 2-m-high open tanks tilled...Ch. 8 - A piping system involves two pipes of different...Ch. 8 - A piping system involves two pipes of different...Ch. 8 - A piping system involves two pipes of identical...Ch. 8 - For a piping system, define the system curve, the...Ch. 8 - A 4-in-high cylindrical tank having a...Ch. 8 - Prob. 76PCh. 8 - The water needs of a small farm are to be met by...Ch. 8 - Prob. 78EPCh. 8 - A 2.4-m-diameter tank is initially filled with...Ch. 8 - A 3-m-diameter tank is initially filled with water...Ch. 8 - Reconsider Prob. 8-78. In order to drain the tank...Ch. 8 - Water to a residential area is transported at a...Ch. 8 - Prob. 83EPCh. 8 - Oil at 20 C is flowing through a vertical glass...Ch. 8 - Prob. 85PCh. 8 - Water at 15 C is drained from a large reservoir...Ch. 8 - A fanner is to pump water at 70 F from a river to...Ch. 8 - A water tank tilled with solar-heated vater at 4OC...Ch. 8 - Two water reservoirs A and B are connected to each...Ch. 8 - Prob. 91PCh. 8 - Prob. 92PCh. 8 - A certain pail of cast iron piping of a water...Ch. 8 - Repeat Prob. 8-91 assuming pipe A has a...Ch. 8 - Prob. 95PCh. 8 - Repeat Prob. 8-93 for cast lion pipes of the same...Ch. 8 - Water is transported by gravity through a...Ch. 8 - Water to a residential area is transported at a...Ch. 8 - Prob. 99PCh. 8 - Prob. 101PCh. 8 - A 6-m-tall chimney shown in Fig. P8103 is to be...Ch. 8 - Prob. 104PCh. 8 - Prob. 105CPCh. 8 - What is the difference between laser Doppler...Ch. 8 - What are the primary considerations when selecting...Ch. 8 - Prob. 108CPCh. 8 - Explain how flow rate is measured with...Ch. 8 - Prob. 110CPCh. 8 - Prob. 111CPCh. 8 - Prob. 112CPCh. 8 - The flow rate of water at 20°C (=998kg/m3) and...Ch. 8 - Prob. 114PCh. 8 - Prob. 115PCh. 8 - Prob. 116PCh. 8 - Prob. 117PCh. 8 - Prob. 118EPCh. 8 - Prob. 119EPCh. 8 - Prob. 120PCh. 8 - A Venturi meter equipped with a differential...Ch. 8 - Prob. 123PCh. 8 - Prob. 124PCh. 8 - Prob. 125PCh. 8 - Prob. 126EPCh. 8 - A 22-L kerosene tank (=820kg/m3) is filled with a...Ch. 8 - The flow rate of water at 20°C (p = 998 kg/m3 and ...Ch. 8 - Prob. 129PCh. 8 - Prob. 130PCh. 8 - The conical container with a thin horizontal tube...Ch. 8 - Shell-and-tube heat exchangers with hundred of...Ch. 8 - The compressed air requirements of a manufacturing...Ch. 8 - A house built on a riverside is to be cooled iii...Ch. 8 - The velocity profile in fully developed lamina,...Ch. 8 - Prob. 136EPCh. 8 - Repeat Prob. 8—136E assuming the pipe is inclined...Ch. 8 - Prob. 138PCh. 8 - Consider flow front a reservoir through a...Ch. 8 - Prob. 140PCh. 8 - A student is to determine the kinematic viscosity...Ch. 8 - A circular water pipe has an abrupt expansion from...Ch. 8 - Prob. 143PCh. 8 - Water at 15 C is to be dischaged froiti a...Ch. 8 - Two pipes of identical diameter and material are...Ch. 8 - A pipelme ihat Eransports oil ai 4OC at a iate of...Ch. 8 - Repeat Prob. 8-140 for hot-water flow of a...Ch. 8 - Prob. 149PCh. 8 - Prob. 152EPCh. 8 - Prob. 153EPCh. 8 - In a hydroelectric power plant. water at 20°C is...Ch. 8 - Prob. 155PCh. 8 - The water at 20 C in a l0-m-diameter, 2-m-high...Ch. 8 - Prob. 162PCh. 8 - Prob. 163PCh. 8 - Prob. 164PCh. 8 - Prob. 165PCh. 8 - Prob. 166PCh. 8 - Air at 1 atm and 20C flows in a 4-em-diameter...Ch. 8 - Consider laminar flow of water in a...Ch. 8 - Consider laminar flow of water at 15C in a...Ch. 8 - Engine oil at 40C(=876kg/m3,=0.2177kg/m.s) flows...Ch. 8 - A fluid flows in a 25-cm-diameter pipe at a...Ch. 8 - Watet flows in a I 5-cm-diameter pipe a, a...Ch. 8 - The pressure drop for a given flow is determined...Ch. 8 - Air at 1 atm and 25C(v=1.562X105m2/s) flows in a...Ch. 8 - Consider air flow in a 10-cm-diameter high...Ch. 8 - Air at 1 aim and 40 C flows in a 8-cm-diameter...Ch. 8 - Water at 10C(=999.7kg/m3,=1.307x103kg/m.s) is to...Ch. 8 - The valve in a piping system causes a 3.1 m head...Ch. 8 - Consider a sharp-edged pipe exit for fully...Ch. 8 - A water flow system involves a 180 return bend...Ch. 8 - A constant-diameter piping system involves...Ch. 8 - Air flows in an 8-cm-diameter, 33-m-long pipe at a...Ch. 8 - Consider a pipe that branches out into two...Ch. 8 - Prob. 184PCh. 8 - Prob. 185PCh. 8 - Prob. 186PCh. 8 - Prob. 187PCh. 8 - Design an experiment to measure the viscosity of...Ch. 8 - During a camping trip you notice that water is...
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- Water at 10°C flows in a 3-cm-diameter pipe at a velocity of 1.25 m/s. The Reynolds number for this flow is (a) 19,770 (b) 23,520 (c) 28,680 (d) 32,940 (e) 36,050arrow_forwardTo measure the flow rate of water at 20°C in the center of a pipe with an inner diameter of 102.3 mm. pitot tube is used. Manometer reading is 78 mm oil. The Pitot tube coefficient is 0.98. Calculate the velocity at the center and the volumetric flow rate. Density 0.59 g/cm³ for manometer liquid oil, Density of water 1000 kg/m3arrow_forwardIf the Darcy Weisbach friction factor for a fluid flow through a pipeline is calculated as 0.016, the Fanning friction factor can be calculated as O 0.004 O 0.000256 None of the above O 0.064arrow_forward
- air is flowing through a 19.45 cm diameter pipe with a velocity of 5.64 m/s. if the temp of the air is 23.76 deg C and pressure of 104 kPa, compute the flow rate oin kg/sarrow_forwardЕxample 1.3 The pressure drop over a 30-m length of 1-cm-diameter horizontal pipe transporting water at 20°C is measured to be 2kPa. A laminar flow is assumed. Determine (a) the maximum velocity in the pipe, (b) the Reynolds number, (c) the wall shear stress, and (d) the friction factor. Solution to be worked in class Example 1.4 Consider a constant diameter pipe with oil flowing through it. SG of the oil =0.85, kinematic viscosity = 6X10“ m²/s, diameter = 15cm and discharge = 0.02 m/s. The center of the pipeline at the exit is 2m above that at the entry to the pipeline. Find the head loss in 100 m length of pipe and the pressure drop at the exit of the pipe.arrow_forwardQuick and correct answerarrow_forward
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- Engine oil at 20 C flows in a 13-cm-diameter pipe at a rate of 900 L/min. The friction factor for this flow is?arrow_forwardIn a pipe with constant flow rate, if diameter of pipe is halved and length of pipe is doubled, then the head loss due to friction will be increased by what amount of initial value?arrow_forwardOil with density 917 kg/m^3 and viscosity 2.33 kg/m.s flows in a 400 meter long 41-cm-diameter horizontal pipeline at an average velocity of 0.7 m/s. Determine the pumping power required in kW to overcome the pressure losses and to maintain the flow of oil in the pipe. Make sure to check Reynolds number first to identify the type of flow and use the proper equationarrow_forward
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