In Section 5.2 we noted that the value of the Biot number significantly influences the nature of the temperature distribution in a solid during a transient conduction process. Reinforce your understanding of this important concept by using the ¡HT model for one-dimensional transient conduction to determine radial temperature distributions in a 30-mm-diameter, stainless steel rod k = 15 W / m ⋅ K , ρ = 8000 k g / m 3 , c p = 475 J / k g ⋅ K , as it is cooled from an initial uniform temperature of 325°C by a fluid at 25°C. For the following values of the convection coefficient and the designated times, determine the radial temperature distribution: h = 100 W / m 2 ⋅ K t = 0 , 100 , 500 s ; h = 1000 W / m 2 ⋅ K t = 0 , 10 , 50 s ; h = 5000 W / m 2 ⋅ K t = 0 , 1 , 5 , 25 s . Prepare a separate graph for each convection coefficient, on which temperature is plotted as a function of dimensionless radius at the designated times.
In Section 5.2 we noted that the value of the Biot number significantly influences the nature of the temperature distribution in a solid during a transient conduction process. Reinforce your understanding of this important concept by using the ¡HT model for one-dimensional transient conduction to determine radial temperature distributions in a 30-mm-diameter, stainless steel rod k = 15 W / m ⋅ K , ρ = 8000 k g / m 3 , c p = 475 J / k g ⋅ K , as it is cooled from an initial uniform temperature of 325°C by a fluid at 25°C. For the following values of the convection coefficient and the designated times, determine the radial temperature distribution: h = 100 W / m 2 ⋅ K t = 0 , 100 , 500 s ; h = 1000 W / m 2 ⋅ K t = 0 , 10 , 50 s ; h = 5000 W / m 2 ⋅ K t = 0 , 1 , 5 , 25 s . Prepare a separate graph for each convection coefficient, on which temperature is plotted as a function of dimensionless radius at the designated times.
Solution Summary: The author explains the temperature distribution equation and the equation for the differential governing equation.
In Section 5.2 we noted that the value of the Biot number significantly influences the nature of the temperature distribution in a solid during a transient conduction process. Reinforce your understanding of this important concept by using the ¡HT model for one-dimensional transient conduction to determine radial temperature distributions in a 30-mm-diameter, stainless steel rod
k
=
15
W
/
m
⋅
K
,
ρ
=
8000
k
g
/
m
3
,
c
p
=
475
J
/
k
g
⋅
K
, as it is cooled from an initial uniform temperature of 325°C by a fluid at 25°C. For the following values of the convection coefficient and the designated times, determine the radial temperature distribution:
h
=
100
W
/
m
2
⋅
K
t
=
0
,
100
,
500
s
;
h
=
1000
W
/
m
2
⋅
K
t
=
0
,
10
,
50
s
;
h
=
5000
W
/
m
2
⋅
K
t
=
0
,
1
,
5
,
25
s
. Prepare a separate graph for each convection coefficient, on which temperature is plotted as a function of dimensionless radius at the designated times.
Can you provide steps and an explaination on how the height value to calculate the Pressure at point B is (-5-3.5) and the solution is 86.4kPa.
PROBLEM 3.46
The solid cylindrical rod BC of length L = 600
mm is attached to the rigid lever AB of length a
= 380 mm and to the support at C. When a 500
N force P is applied at A, design specifications
require that the displacement of A not exceed
25 mm when a 500 N force P is applied at A
For the material indicated determine the
required diameter of the rod.
Aluminium: Tall = 65 MPa, G = 27 GPa.
A
Find the equivalent mass of the rocker arm assembly with respect to the x coordinate.
k₁
mi
m2
k₁
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