EBK APPLIED FLUID MECHANICS
7th Edition
ISBN: 8220100668340
Author: UNTENER
Publisher: PEARSON
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Chapter 19, Problem 19.10PP
To determine
The circular equivalent diameter
Maximum flow rate of air that the duct could carry
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1. Steam leaves the boiler of a power plant at 5 MPa, 500°C as shown in the following figure. As
the steam passes to the turbine, the temperature drops to 496°C before it enters the turbine due to
a heat loss through the pipe's insulation. The pressure drop in the pipe connecting the boiler to
the turbine is negligible. The steam then passes through an adiabatic turbine and exits at 10 kPa.
The turbine has an isentropic efficiency of 85% and is delivering 1000 MW of power. Determine
the following.
P = 5 MPa
T₁ = 500°C
Boiler
P₁₂ =5 MPa
Τ =496°C
7 = 85%
W = 1,000 MW
P=1 atm
To=25°C
Turbine
3+ P = 10 kPa
a. The heat transfer rate from the pipe connecting the boiler to the turbine (in MW)
b. The change in flow exergy rate as the steam flows through the pipe (MW). This represents
exergy that is lost to the environment and unavailable for power delivery. Comment on the
magnitude of this exergy loss compared to the power delivered by the turbine. What factor(s)
would warrant better…
An aluminum rod of length L
=
1m has mass density p = 2700 kg and
Young's modulus E = 70 GPa. The rod is fixed at both ends. The exact
natural eigenfrequencies of the rod are wexact
E
=
√
ρ
for n=1,2,3,. . . .
1. What is the minimum number of linear elements necessary to
determine the fundamental frequency w₁ of the system? Discretize
the rod in that many elements of equal length, assemble the global
system of equations KU = w² MU, and find the fundamental
frequency w₁. Compute the relative error e₁ = (w1 - wexact) /w exact
Sketch the fundamental mode of vibration.
2. Use COMSOL to solve the same problem. Show the steps necessary
to find the fundamental frequency and mode of the rod. What is the
relative error using linear elements and a normal mesh?
A ball with a mass of 5.0 kg is hanging from a string and is initially at rest.
A bullet with a mass of 10.0 g and a velocity of 200.0 m/s is fired at the ball.
The bullet embeds itself inside the ball.
How high (h) do the ball and the bullet rise?
Gravitational acceleration: g=9.81g = 9.81g=9.81 m/s².
Chapter 19 Solutions
EBK APPLIED FLUID MECHANICS
Ch. 19 - Determine the velocity of flow and the friction...Ch. 19 - Repeat Problem 19.1 O for duct diameters of 16,...Ch. 19 - Prob. 19.3PPCh. 19 - Determine the velocity of flow and the friction...Ch. 19 - Repeat Problem 19.40 for duct diameters of...Ch. 19 - Prob. 19.6PPCh. 19 - Prob. 19.7PPCh. 19 - '19.8 A branch duct for a heating system measures...Ch. 19 - Prob. 19.9PPCh. 19 - Prob. 19.10PP
Ch. 19 - A branch duct for a heating system measures 75250...Ch. 19 - Prob. 19.12PPCh. 19 - Prob. 19.13PPCh. 19 - Prob. 19.14PPCh. 19 - Repeat Problem 19.14, but use a five-piece elbowCh. 19 - Prob. 19.16PPCh. 19 - Prob. 19.17PPCh. 19 - Prob. 19.18PPCh. 19 - Prob. 19.19PPCh. 19 - Prob. 19.20PPCh. 19 - Compute the pressure drop as 0.20m3/s of air flows...Ch. 19 - Prob. 19.22PPCh. 19 - Compute the pressure drop as 0.85m3/s of air flows...Ch. 19 - A section of duct system consists of 42 ft of...Ch. 19 - A section of duct system consists of 38 ft of...Ch. 19 - The intake duct to a fan consists of intake...Ch. 19 - Forthe conditions shown in figs. 19.719- 19.10 0,...Ch. 19 - Forthe conditions shown in figs. 19.719- 19.10 0,...Ch. 19 - Prob. 19.29PPCh. 19 - Forthe conditions shown in figs. 19.719- 19.10 0,...
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