FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119634928
Author: Borgnakke
Publisher: WILEY
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A 3 m x 5 m section of wall of the cold room is not insulated, and the temperature at the outer surface of this section is measured to be 7°C. The temperature of the outside room is 30°C, and the combined convection and radiation heat transfer coefficient at the surface of the outer wall is 10 W/m2°C. It is proposed to insulate this section of the furnace wall with glass wool insulation (k = 0.038 W/m°C) in order to reduce the heat transfer by 90%. Assuming the outer surface temperature of the cold room wall section still remains at about 7°C, determine the thickness of the insulation that needs to be used.
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Q1.Given the unity feedback system with a forward path transfer function,
G(s) =
=
K
(s+1)(s+2)(s+6)
. Do the following:
(a) Draw the root locus
(b) Find the gain, K, and natural frequency for a damping ratio 0.5.
(c) Find the range or value of gain, K for
i. overdamped ii. critically damped iii. Undamped iv. underdamped
Q. 1: The partial Routh array of a unity feedback system is given below.
S6
1
Adel
8
S5
1
S4
2
Bash
6
-4
0
C
0
How many roots does it have in the right half plane? Comment on the
stability of the system. Determine the characteristic equation of the system.
Q.2: Find the values of Ki and K2 for the system shown in the figure below
when Mp=0.25% and tp= 4 sec. assume unit step input.
R(S)
K₁
C(S)
1+ K₂S
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