A hot fluid passes through a thin-walled tube of 10-mm diameter and 1-m length, and a coolant at T ∞ = 25 ° C is in cross flow over the tube. When the flow rate is m ˙ = 18 k g / h and the inlet temperature is T m , i = 85 ° C , the outlet temperature is T m , o = 78 ° C . Assuming fully developed flow and thermal conditions in the tube, determine the outlet temperature, T m , o . If the flow rate is increased by a factor of 2. That is, m ˙ = 36 k g / h , with all other conditions the same. The thermophysical properties of the hot fluid are ρ = 1079 k g / m 3 , c p = 2637 J / k g ⋅ K , μ = 0.0034 N ⋅ s / m 2 , and k = 0.261 W / m ⋅ K .
A hot fluid passes through a thin-walled tube of 10-mm diameter and 1-m length, and a coolant at T ∞ = 25 ° C is in cross flow over the tube. When the flow rate is m ˙ = 18 k g / h and the inlet temperature is T m , i = 85 ° C , the outlet temperature is T m , o = 78 ° C . Assuming fully developed flow and thermal conditions in the tube, determine the outlet temperature, T m , o . If the flow rate is increased by a factor of 2. That is, m ˙ = 36 k g / h , with all other conditions the same. The thermophysical properties of the hot fluid are ρ = 1079 k g / m 3 , c p = 2637 J / k g ⋅ K , μ = 0.0034 N ⋅ s / m 2 , and k = 0.261 W / m ⋅ K .
A hot fluid passes through a thin-walled tube of 10-mm diameter and 1-m length, and a coolant at
T
∞
=
25
°
C
is in cross flow over the tube. When the flow rate is
m
˙
=
18
k
g
/
h
and the inlet temperature is
T
m
,
i
=
85
°
C
, the outlet temperature is
T
m
,
o
=
78
°
C
.
Assuming fully developed flow and thermal conditions in the tube, determine the outlet temperature,
T
m
,
o
. If the flow rate is increased by a factor of 2. That is,
m
˙
=
36
k
g
/
h
, with all other conditions the same. The thermophysical properties of the hot fluid are
ρ
=
1079
k
g
/
m
3
,
c
p
=
2637
J
/
k
g
⋅
K
,
μ
=
0.0034
N
⋅
s
/
m
2
,
and
k
=
0.261
W
/
m
⋅
K
.
Q2. Water is heated while following through a 1.5cmx 3.5cm rectangular cross section
tube at a velocity of 1.2 m/s. The entering temperature of the water is 40°C and the tube
wall is maintained at 85 C. Determine the length of the tube required to raise the
temperature of water to 70 C. If the pressure loss in the tube is registered to be 10KPa.
find the required pumping power.
The properties of water are: p=985.5 kg/m², C- 4.18kJ/Kg. v-0.517x10 m/s, k-0.654
W/mK and Pr-3.26.
Nu =0.023Re** Pr
A 10 m long thin-walled stainless steel tube of diameter 15 mm is used to
sterilize pharmaceutical products by heating it from 25 °C to 85 °C. A
uniform heat flux is maintained on the outer surface of the tube by an
electric resistance heater wrapped around it. If the flow rate of the liquid
is 0.15 m/s, find the required heat flux. Is the flow in the tube laminar or
turbulent? Assuming the fluid exits the tube with a fully developed
velocity and temperature profile, determine the tube surface temperature at
the exit.
Explain the reasoning for assuming that the flow is fully developed.
Air flows from a 10cm pipe in which the temperature and pressure are 4-C and 280kpa, respectively, into a 5cm pipe in which the pressure is 147kpa gage. Calculate the velocity and discharge in each pipe, assuming isothermal conditions, standard atmospheric pressure and no losses. The gas constant for air is 280N-m/kg-K.
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