Air at p = 1 a t m enters a thin-walled ( D = 5-mm diameter) long tube ( L = 2 m ) at an inlet temperature of T m . i = 100 ° C . A constant heat flux is applied to the air from the tube surface. The air mass flow rate is m ˙ = 135 × 10 − 6 k g / s . (a) If the tube surface temperature at the exit is T s , o = 160 ° C , determine the heat rate entering the tube. Evaluate properties at T = 400 K . (b) It the tube length of’ part (a) were reduced to L = 0.2 m , how would flow conditions at the tube exit be affected? Would the value of the heat transfer coefficient at the tube exit be greater than, equal to, or smaller than the heat transfer coefficient for part (a)? (c) If the flow rate of part (a) were increased by a factor of 10, would there be a difference in flow conditions at the lube exit? Would the value of the heat transfer coefficient at the tube exit be greater than, equal to, or smaller than the heat transfer coefficient for part (a)?
Air at p = 1 a t m enters a thin-walled ( D = 5-mm diameter) long tube ( L = 2 m ) at an inlet temperature of T m . i = 100 ° C . A constant heat flux is applied to the air from the tube surface. The air mass flow rate is m ˙ = 135 × 10 − 6 k g / s . (a) If the tube surface temperature at the exit is T s , o = 160 ° C , determine the heat rate entering the tube. Evaluate properties at T = 400 K . (b) It the tube length of’ part (a) were reduced to L = 0.2 m , how would flow conditions at the tube exit be affected? Would the value of the heat transfer coefficient at the tube exit be greater than, equal to, or smaller than the heat transfer coefficient for part (a)? (c) If the flow rate of part (a) were increased by a factor of 10, would there be a difference in flow conditions at the lube exit? Would the value of the heat transfer coefficient at the tube exit be greater than, equal to, or smaller than the heat transfer coefficient for part (a)?
Air at
p
=
1
a
t
m
enters a thin-walled (
D
= 5-mm
diameter) long tube
(
L
=
2
m
)
at an inlet temperature of
T
m
.
i
=
100
°
C
. A constant heat flux is applied to the air from the tube surface. The air mass flow rate is
m
˙
=
135
×
10
−
6
k
g
/
s
. (a) If the tube surface temperature at the exit is
T
s
,
o
=
160
°
C
, determine the heat rate entering the tube. Evaluate properties at
T
=
400
K
. (b) It the tube length of’ part (a) were reduced to
L
=
0.2
m
, how would flow conditions at the tube exit be affected? Would the value of the heat transfer coefficient at the tube exit be greater than, equal to, or smaller than the heat transfer coefficient for part (a)? (c) If the flow rate of part (a) were increased by a factor of 10, would there be a difference in flow conditions at the lube exit? Would the value of the heat transfer coefficient at the tube exit be greater than, equal to, or smaller than the heat transfer coefficient for part (a)?
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
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