EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Textbook Question
Chapter 29, Problem 3P
Compute the fluxes for Prob. 29.2 using the parameters from Example 29.3.
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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 29 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 29 - 29.1 Use Liebmann’s method to solve for the...Ch. 29 - 29.2 Use Liebmann’s method to solve for the...Ch. 29 - 29.3 Compute the fluxes for Prob. 29.2 using the...Ch. 29 - Repeat Example 29.1, but use 49 interior nodes...Ch. 29 - Repeat Prob. 29.4, but for the case where the...Ch. 29 - 29.6 Repeat Examples 29.1 and 29.3, but for the...Ch. 29 - Prob. 7PCh. 29 - 29.8 With the exception of the boundary...Ch. 29 - Write equations for the darkened nodes in the grid...Ch. 29 - 29.10 Write equations for the darkened nodes in...
Ch. 29 - Apply the control-volume approach to develop the...Ch. 29 - Derive an equation like Eq. (29.26) for the case...Ch. 29 - 29.13 Develop a user-friendly computer program to...Ch. 29 - Employ the program from Prob. 29.13 to solve...Ch. 29 - Employ the program from Prob. 29.13 to solve Prob....Ch. 29 - Use the control-volume approach and derive the...Ch. 29 - 29.17 Calculate heat flux for node in Fig. 29.13...Ch. 29 - 29.18 Compute the temperature distribution for...Ch. 29 - 29.19 The Poisson equation can be written in...
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