The evaporator section of a heat pump is installed in a large tank of water, which is used as a heat source during the winter. As energy is extracted from the water, it begins to freeze, creating an ice/water bath at 0 ° C , which may be used for air conditioning during the summer. Consider summer cooling conditions for which air is passed through an array of copper tubes, each of inside diameter D = 50 m m , submerged in the bath. (a) If air enters each tube at a mean temperature of T m , i = 24 ° C and a flow rate of m ˙ = 0.01 k g / s , what tube length L is needed to provide an exit temperature of T m , o = 14 ° C ? With 10 tubes passing through a tank of total volume V = 10 m 3 , which initially contains 80 ice by volume, how long would it take to completely melt the ice? The density and latent heat of fusion of ice are 920 k g / m 3 and 3.34 × 10 5 J / k g , respectively. (b) The air outlet temperature may be regulated by adjusting the tube mass flow rate. For the tube length determined in part (a), compute and plot T m , o as a function of m ˙ for 0.005 ≤ m ˙ ≤ 0.05 k g / s . If the dwelling cooled by this system requires approximately 0.05 k g / s of air at 16 ° C , what design and operating conditions should be prescribed for the system?
The evaporator section of a heat pump is installed in a large tank of water, which is used as a heat source during the winter. As energy is extracted from the water, it begins to freeze, creating an ice/water bath at 0 ° C , which may be used for air conditioning during the summer. Consider summer cooling conditions for which air is passed through an array of copper tubes, each of inside diameter D = 50 m m , submerged in the bath. (a) If air enters each tube at a mean temperature of T m , i = 24 ° C and a flow rate of m ˙ = 0.01 k g / s , what tube length L is needed to provide an exit temperature of T m , o = 14 ° C ? With 10 tubes passing through a tank of total volume V = 10 m 3 , which initially contains 80 ice by volume, how long would it take to completely melt the ice? The density and latent heat of fusion of ice are 920 k g / m 3 and 3.34 × 10 5 J / k g , respectively. (b) The air outlet temperature may be regulated by adjusting the tube mass flow rate. For the tube length determined in part (a), compute and plot T m , o as a function of m ˙ for 0.005 ≤ m ˙ ≤ 0.05 k g / s . If the dwelling cooled by this system requires approximately 0.05 k g / s of air at 16 ° C , what design and operating conditions should be prescribed for the system?
Solution Summary: The author explains the tube length required to achieve a prescribed air outlet temperature and time to completely melt the ice.
The evaporator section of a heat pump is installed in a large tank of water, which is used as a heat source during the winter. As energy is extracted from the water, it begins to freeze, creating an ice/water bath at
0
°
C
, which may be used for air conditioning during the summer. Consider summer cooling conditions for which air is passed through an array of copper tubes, each of inside diameter
D
=
50
m
m
, submerged in the bath. (a) If air enters each tube at a mean temperature of
T
m
,
i
=
24
°
C
and a flow rate of
m
˙
=
0.01
k
g
/
s
, what tube length L is needed to provide an exit temperature of
T
m
,
o
=
14
°
C
? With 10 tubes passing through a tank of total volume
V
=
10
m
3
, which initially contains 80 ice by volume, how long would it take to completely melt the ice? The density and latent heat of fusion of ice are
920
k
g
/
m
3
and
3.34
×
10
5
J
/
k
g
, respectively. (b) The air outlet temperature may be regulated by adjusting the tube mass flow rate. For the tube length determined in part (a), compute and plot
T
m
,
o
as a function of
m
˙
for
0.005
≤
m
˙
≤
0.05
k
g
/
s
. If the dwelling cooled by this system requires approximately
0.05
k
g
/
s
of air at
16
°
C
, what design and operating conditions should be prescribed for the system?
1. A 40 lb. force is applied at point E. There are pins at
A, B, C, D, and F and a roller at A.
a. Draw a FBD of member EFC showing all the known and
unknown forces acting on it.
b. Draw a FBD of member ABF showing all the known and
unknown forces acting on it.
c. Draw a FBD of member BCD showing all the known and
unknown forces acting on it.
d. Draw a FBD of the entire assembly ADE showing all the
known and unknown forces acting on it.
e. Determine the reactions at A and D.
f. Determine the magnitude of the pin reaction at C.
40 lbs.
B
A
6 in.
4 in.
D
F
-5 in.4 in 4.
A crude oil of specific gravity0.85 flows upward at a volumetric rate of flow of 70litres per
second through
a vertical
venturimeter,with an inlet diameter of 250 mm and a throat
diameter of 150mm. The coefficient
of discharge of venturimeter is 0.96. The vertical
differences betwecen the pressure toppings is
350mm.
i)
Draw a well labeled diagram to represent the above in formation
i)
If the two pressure gauges are connected at the tapings such that they are
positioned at the levels of their corresponding tapping points,
determine the
difference of readings in N/CM² of the two pressure gauges
ii)
If a mercury differential
manometer
is connected in place of pressure gauges,
to the tappings such that the connecting tube up to mercury are filled with oil
determine the difference in the level of mercury column.
Can you solve it analytically using laplace transforms and with Matlab code as well please. Thank You
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Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning