A 6-mm-thick stainless steel strip (k = 21 W/m .K, p = 8000 kg/m 3 , a n d c p = 570 J/kg .K) and exiting an oven at a temperature of 500°C is allowed to cool within a buffer zone distance of 5 m. To prevent thermal bums to workers who are handling the strip at the end of the buffer zone, the surface temperature of the strip should be cooled to 45°C. If the air temperature in the butler zone is 15°C and the convection heat transfer coefficient is 120 W/m 2 K, determine the maximum speed of the stainless steel strip.
A 6-mm-thick stainless steel strip (k = 21 W/m .K, p = 8000 kg/m 3 , a n d c p = 570 J/kg .K) and exiting an oven at a temperature of 500°C is allowed to cool within a buffer zone distance of 5 m. To prevent thermal bums to workers who are handling the strip at the end of the buffer zone, the surface temperature of the strip should be cooled to 45°C. If the air temperature in the butler zone is 15°C and the convection heat transfer coefficient is 120 W/m 2 K, determine the maximum speed of the stainless steel strip.
Solution Summary: The author calculates the temperature of stainless steel strip after time t for transient heat transfer rate.
A 6-mm-thick stainless steel strip
(k = 21 W/m
.K,
p
=
8000
kg/m
3
,
a
n
d
c
p
=
570
J/kg
.K)
and exiting an oven at a temperature of 500°C is allowed to cool within a buffer zone distance of 5 m. To prevent thermal bums to workers who are handling the strip at the end of the buffer zone, the surface temperature of the strip should be cooled to 45°C. If the air temperature in the butler zone is 15°C and the convection heat transfer coefficient is 120 W/m2 K, determine the maximum speed of the stainless steel strip.
find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
s(1+e)
0 a
2a 3a 4a
13)
2+
Ans. F(s)=
1
s(1+e")
3
14) f(t)=1, 0
Auto Controls
A union feedback control system has the following open loop transfer function
where k>0 is a variable proportional gain
i. for K = 1 , derive the exact magnitude and phase expressions of G(jw).
ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities.
iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin)
iv. what happens to the gain margin and Phase margin when you increase the value of K?you
You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus
NO COPIED SOLUTIONS
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.