Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Chapter 9, Problem 99P
To determine
The terminal speed of the object.
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1. Assuming that there are no heat effects and no frictional effects,find the kinetic energy and speed of a 3220lb body after it falls 778 ft from rest. Start with the steady flow equation, deleting energy terms which are irrelevant. Draw a figure or FBD that will support the problem. Explain each step by step formula.
Q2.
In the one-dimensional constant-density situation below, the momentum equations for UB
and u can be written as follows:
Ug = 5+2.5(P₁-P₂)
uc=5+7.5(P₂ - P3)
U₁
A
UB
B
uc
с
2
The boundary conditions are as: ug =15, P3 = 10 (all values are given in consistent
units).
(i)
(ii)
Write the continuity equations for the regions AB and BC and hence derive the
corresponding pressure correction equations.
Starting with guesses for p, and p₂, follow the SIMPLE procedure to obtain
converged values of P₂,ug and uc.
A small, spherical bead of mass 2.80 g is released from rest at t = 0 from a point under the surface of a viscous liquid. The terminal speed is observed to be v, = 2.34
cm/s.
(a) Find the value of the constant b in the equation R = -bv.
N-s/m
(b) Find the time t at which the bead reaches 0.632VT.
(c) Find the value of the resistive force when the bead reaches terminal speed.
N
Chapter 9 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 9 - The roof of a minivan is approximated as a...Ch. 9 - A model of a river towboat is to be tested at 1:18...Ch. 9 - For flow over a smooth plate, what approximately...Ch. 9 - A model of a thin streamlined body is placed in a...Ch. 9 - A student is to design an experiment involving...Ch. 9 - A 1 m 2 m sheet of plywood is attached to the...Ch. 9 - The extent of the laminar boundary layer on the...Ch. 9 - Velocity profiles in laminar boundary layers often...Ch. 9 - An approximation for the velocity profile in a...Ch. 9 - Evaluate / for each of the laminar boundary-layer...
Ch. 9 - Evaluate the displacement thickness and the...Ch. 9 - Evaluate the displacement thickness and the...Ch. 9 - A fluid, with density = 1.5 slug/ft3, flows at U...Ch. 9 - Solve Problem 9.13 with the velocity profile at...Ch. 9 - Air flows in a horizontal cylindrical duct of...Ch. 9 - Evaluate the displacement thickness and the...Ch. 9 - Evaluate the displacement thickness and the...Ch. 9 - A laboratory wind tunnel has a test section 25 cm...Ch. 9 - Air flows in the entrance region of a square duct,...Ch. 9 - A flow of 68F air develops in a flat horizontal...Ch. 9 - A flow of air develops in a horizontal cylindrical...Ch. 9 - Using numerical results for the Blasius exact...Ch. 9 - Using numerical results obtained by Blasius (Table...Ch. 9 - Using numerical results obtained by Blasius (Table...Ch. 9 - A smooth flat plate 2.4 m long and 0.6 m wide is...Ch. 9 - Consider flow of air over a flat plate. On one...Ch. 9 - A thin flat plate, L = 9 in. long and b = 3 ft...Ch. 9 - For a laminar boundary layer on a flat plate,...Ch. 9 - Air at atmospheric pressure and 20C flows over...Ch. 9 - A thin flat plate is installed in a water tunnel...Ch. 9 - Assume laminar boundary-layer flow to estimate the...Ch. 9 - Assume laminar boundary-layer flow to estimate the...Ch. 9 - Assume laminar boundary-layer flow to estimate the...Ch. 9 - Prob. 34PCh. 9 - Water at 10C flows over a flat plate at a speed of...Ch. 9 - Use the momentum integral equation to derive...Ch. 9 - A smooth flat plate 1.6 ft long is immersed in 68F...Ch. 9 - Prob. 38PCh. 9 - A developing boundary layer of standard air on a...Ch. 9 - Assume the flow conditions given in Example 9.3....Ch. 9 - A flat-bottomed barge having a 150 ft 20 ft...Ch. 9 - European InterCity Express trains operate at...Ch. 9 - Grumman Corp. has proposed to build a magnetic...Ch. 9 - Repeat Problem 9.32, for an air flow at 80 ft/s,...Ch. 9 - The velocity profile in a turbulent boundary-layer...Ch. 9 - The U.S. Navy has built the Sea Shadow, which is a...Ch. 9 - The two rectangular smooth flat plates are to have...Ch. 9 - Standard air flows over a horizontal smooth flat...Ch. 9 - Air at standard conditions flows over a flat...Ch. 9 - A uniform flow of standard air at 60 m/s enters a...Ch. 9 - A laboratory wind tunnel has a flexible upper wall...Ch. 9 - Air flows in a cylindrical duct of diameter D = 6...Ch. 9 - Perform a cost-effectiveness analysis on a typical...Ch. 9 - Table 9.1 (on the web) shows the numerical results...Ch. 9 - A fluid flow enters the plane-wall diffuser that...Ch. 9 - For flow over a flat plate with zero pressure...Ch. 9 - A flat-bottomed barge, 80 ft long and 35 ft wide,...Ch. 9 - A towboat for river barges is tested in a towing...Ch. 9 - Plot the local friction coefficient cf, the...Ch. 9 - A smooth plate 3 m long and 0.9 m wide moves...Ch. 9 - Resistance of a barge is to be determined from...Ch. 9 - A nuclear submarine cruises fully submerged at 27...Ch. 9 - You are asked by your college crew to estimate the...Ch. 9 - The drag coefficient of a circular disk when...Ch. 9 - A steel sphere of 0.25 in. diameter has a velocity...Ch. 9 - A steel sphere (SG = 7.8) of 13 mm diameter falls...Ch. 9 - A sheet of plastic material 0.5 in. thick, with...Ch. 9 - As part of the 1976 bicentennial celebration, an...Ch. 9 - What constant speed will be attained by a lead (SG...Ch. 9 - Assuming a critical Reynolds number of 0.1,...Ch. 9 - Glass spheres of 0.1 in. diameter fall at constant...Ch. 9 - A rotary mixer is constructed from two circular...Ch. 9 - Calculate the drag of a smooth sphere of 0.3 m...Ch. 9 - Calculate the drag of a smooth sphere of 0.5 m...Ch. 9 - A cylindrical chimney 0.9 m in diameter and 22.5 m...Ch. 9 - The resistance to motion of a good bicycle on...Ch. 9 - Ballistic data obtained on a firing range show...Ch. 9 - A standard marine torpedo is 0.533 m in diameter...Ch. 9 - A large truck has an essentially boxlike body that...Ch. 9 - At a surprise party for a friend youve tied a...Ch. 9 - A 0.5-m-diameter hollow plastic sphere containing...Ch. 9 - A simple but effective anemometer to measure wind...Ch. 9 - The Willis Tower (formerly the Sears Tower) in...Ch. 9 - It is proposed to build a pyramidal building with...Ch. 9 - Calculate the drag forces on a 1/200 scale model...Ch. 9 - A circular disk is hung in an air stream from a...Ch. 9 - A vehicle is built to try for the land-speed...Ch. 9 - An F-4 aircraft is slowed after landing by dual...Ch. 9 - A tractor-trailer rig has frontal area A = 102 ft2...Ch. 9 - A 180hp sports car of frontal area 1.72 m2, with a...Ch. 9 - An object falls in air down a long vertical chute....Ch. 9 - Prob. 99PCh. 9 - A light plane tows an advertising banner over a...Ch. 9 - The antenna on a car is 10 mm in diameter and 1.8...Ch. 9 - Consider small oil droplets (SG = 0.85) rising in...Ch. 9 - Standard air is drawn into a low-speed wind...Ch. 9 - A small sphere with D = 6 mm is observed to fall...Ch. 9 - A tennis ball with a mass of 57 g and diameter of...Ch. 9 - A water tower consists of a 12-m-diameter sphere...Ch. 9 - A cast-iron 12-pounder cannonball rolls off the...Ch. 9 - A rectangular airfoil of 40 ft span and 6 ft chord...Ch. 9 - A rectangular airfoil of 9 m span and 1.8 m chord...Ch. 9 - Why is it possible to kick a football farther in a...Ch. 9 - If CL = 1.0 and CD = 0.05 for an airfoil, then...Ch. 9 - A wing model of 5 in. chord and 2.5 ft span is...Ch. 9 - A barge weighing 8820 kN that is 10 m wide, 30 m...Ch. 9 - A spherical sonar transducer with 15 in. diameter...Ch. 9 - While walking across campus one windy day, an...Ch. 9 - If the mean velocity adjacent to the top of a wing...Ch. 9 - The NACA 23015 airfoil is to move at 180 mph...Ch. 9 - A human-powered aircraft has a gross weight of 240...Ch. 9 - WiffleTM balls made from light plastic with...Ch. 9 - A model airfoil of chord 6 in. and span 30 in. is...Ch. 9 - An antique airplane carries 50 m of external guy...Ch. 9 - How do cab-mounted wind deflectors for...Ch. 9 - An airplane with an effective lift area of 25 m2...Ch. 9 - The U.S. Air Force F-16 fighter aircraft has wing...Ch. 9 - A light airplane, with mass M = 1000 kg, has a...Ch. 9 - A light airplane has 35-ft effective wingspan and...Ch. 9 - Assume the Boeing 727 aircraft has wings with NACA...Ch. 9 - Jim Halls Chaparral 2F sports-racing cars in the...Ch. 9 - Some cars come with a spoiler, a wing section...Ch. 9 - Roadside signs tend to oscillate in a twisting...Ch. 9 - Air moving over an automobile is accelerated to...Ch. 9 - A class demonstration showed that lift is present...Ch. 9 - Rotating cylinders were proposed as a means of...Ch. 9 - A baseball pitcher throws a ball at 80 mph. 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