EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 26, Problem 16P
Solve the following
with the initial condition
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A prototype automobile is designed to travel at 65 km/hr. A model of this design is tested in a wind tunnel with identical standard sea-
level air properties at a 1:5 scale. The measured model drag is 529 N, enforcing dynamic similarity. Determine (a) the drag force on the
prototype and (b) the power required to overcome this drag. See the equation
Vm
m
=
D
V Dm
(a) Dp = i
(b) Pp = i
N
hp
A new blimp will move at 6 m/s in 20°C air, and we want to predict the drag force. Using a 1: 14-scale model in water at 20°C and
measuring a 2500-N drag force on the model, determine (a) the required water velocity, (b) the drag on the prototype blimp and, (c) the
power that will be required to propel it through the air.
(a) Vm = i
(b) Dp = i
(c) Pp = i
m/s
N
W
Drag measurements were taken for a sphere, with a diameter of 5 cm, moving at 3.7 m/s in water at 20°C. The resulting drag on the
sphere was 10 N. For a balloon with 1-m diameter rising in air with standard temperature and pressure, determine (a) the velocity if
Reynolds number similarity is enforced and (b) the drag force if the drag coefficient in the equation below is the dependent pi term.
li ε pVI
D
1
= CD = Q
μ
(a) Vp = i
(b) Dp = i
m/s
N
Chapter 26 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 26 - Given dydx=200,000y+200,000exex (a) Estimate the...Ch. 26 - Given dydx=30(costy)+3sint If y(0)=1, use the...Ch. 26 - 26.3 Given
If, obtain a solution from using a...Ch. 26 - Solve the following initial-value problem over the...Ch. 26 - Repeat Prob. 26.4, but use the fourth-order Adams...Ch. 26 - Solve the following initial-value problem from...Ch. 26 - Solve the following initial-value problem from...Ch. 26 - Solve the following initial-value problem from...Ch. 26 - Develop a program for the implicit Euler method...Ch. 26 - 26.10 Develop a program for the implicit Euler...
Ch. 26 - Develop a user-friendly program for the...Ch. 26 - 26.12 Use the program developed in Prob. 26.11 to...Ch. 26 - 26.13 Consider the thin rod of length l moving in...Ch. 26 - Given the first-order ODE dxdt=700x1000etx(t=0)=4...Ch. 26 - 26.15 The following second-order ODE is...Ch. 26 - 26.16 Solve the following differential equation...
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