An object of irregular shape has a characteristic length of L = 1 m and is maintained at a uniform surface temperature of T s = 400 K . When placed in atmospheric air at a temperature of T ∞ = 300 K and moving with a velocity of V = 100 m/s, the average heat flux from the surface to the air is 20 , 000 W/m 2 . If a second object of the same shape, but with a characteristic length of L = 5 m, is maintained at a surface temperature of T s = 400 K and is placed in atmospheric air at T ∞ = 300 K, what will the value of the average convection coefficient be if the air velocity is V = 20 m/s?
An object of irregular shape has a characteristic length of L = 1 m and is maintained at a uniform surface temperature of T s = 400 K . When placed in atmospheric air at a temperature of T ∞ = 300 K and moving with a velocity of V = 100 m/s, the average heat flux from the surface to the air is 20 , 000 W/m 2 . If a second object of the same shape, but with a characteristic length of L = 5 m, is maintained at a surface temperature of T s = 400 K and is placed in atmospheric air at T ∞ = 300 K, what will the value of the average convection coefficient be if the air velocity is V = 20 m/s?
Solution Summary: The author calculates the convection heat transfer coefficient if all the factors of two objects are identical except their length and velocity.
An object of irregular shape has a characteristic length of
L
=
1
m
and is maintained at a uniform surface temperature of
T
s
=
400
K
.
When placed in atmospheric air at a temperature of
T
∞
=
300
K
and moving with a velocity of
V
=
100
m/s,
the average heat flux from the surface to the air is
20
,
000
W/m
2
.
If a second object of the same shape, but with a characteristic length of
L
=
5
m,
is maintained at a surface temperature of
T
s
=
400
K
and is placed in atmospheric air at
T
∞
=
300
K,
what will the value of the average convection coefficient be if the air velocity is
V
=
20
m/s?
oyfr
3. The figure shows a frame under the
influence of an external loading made up
of five forces and two moments. Use the
scalar method to calculate moments.
a. Write the resultant force of the
external loading in Cartesian vector
form.
b. Determine the
& direction
of the resultant moment of the
external loading about A.
15 cm
18 cm
2.2 N-m
B
50 N
45°
10 cm
48 N.m
250 N
60 N
20
21
50 N
25 cm
100 N
A
118,
27cm 5, 4:1
The 2-mass system shown below depicts a disk which rotates about its center and has rotational
moment of inertia Jo and radius r. The angular displacement of the disk is given by 0. The spring
with constant k₂ is attached to the disk at a distance from the center. The mass m has linear
displacement & and is subject to an external force u. When the system is at equilibrium, the spring
forces due to k₁ and k₂ are zero. Neglect gravity and aerodynamic drag in this problem. You may
assume the small angle approximation which implies (i) that the springs and dampers remain in
their horizontal / vertical configurations and (ii) that the linear displacement d of a point on the
edge of the disk can be approximated by d≈re.
Ө
K2
www
m
4
Cz
777777
Jo
Make the following assumptions when analyzing the forces and torques:
тв
2
0>0, 0>0, x> > 0, >0
Derive the differential equations of motion for this dynamic system. Start by sketching
LARGE and carefully drawn free-body-diagrams for the disk and the…
A linear system is one that satisfies the principle of superposition. In other words, if an input u₁
yields the output y₁, and an input u2 yields the output y2, the system is said to be linear if a com-
bination of the inputs u = u₁ + u2 yield the sum of the outputs y = y1 + y2.
Using this fact, determine the output y(t) of the following linear system:
given the input:
P(s) =
=
Y(s)
U(s)
=
s+1
s+10
u(t) = e−2+ sin(t)
=e
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