APPENDIX A ex 3.docx

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Ngày gửi: 14h:02' 28-06-2020
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APPENDIX A
THE RAW DATA
Table 1: Data of temperature and volumetric flow rate of water in a concentric tube heat exchanger in parallel flow

Test 1
Test 2

ST 16
45
55

ST 1
41.5
41.5
41.4
49.5
50.4
50.0

ST 2
37.2
36.8
36.0
42.8
42.9
41.5

ST 3
28.0
27.9
27.9
28.0
28.1
28.2

ST 4
30.1
30.0
29.9
32.3
32.6
32.3

ST 5
32.0
31.9
31.8
34.5
34.9
34.5

ST 6
32.6
32.5
32.3
35.7
36.2
35.6

ST 7
32.9
32.8
32.5
36.2
36.8
36.1

SC 1 (l/min)
3.2
2.5
2.0
3.2
2.5
2.0

SC 2 (l/min)
2.7
2.7
2.7
2.7
2.7
2.7








Table 2: Data of temperature and volumetric flow rate of water in a concentric tube heat exchanger in countercurrent flow

Test 1
Test 2

ST 16
45
55

ST 1
41.6
41.6
41.5
50.3
49.1
49.9

ST 2
37.0
36.3
35.9
43.8
40.9
40.5

ST 3
33.7
33.8
33.9
38.5
37.2
38.0

ST 4
31.2
31.4
32.0
37.1
33.9
34.6

ST 5
31.4
31.5
32.2
37.3
33.4
33.8

ST 6
30.1
30.1
30.5
34.7
31.5
31.6

ST 7
27.9
27.9
27.8
28.1
28.2
28.1

SC 1 (l/min)
3.2
2.5
2.0
3.2
2.5
2.0

SC 2 (l/min)
2.7
2.7
2.7
2.7
2.7
2.7


Table 3: Data of density and specific heat of water

28℃
45℃
55℃

ρ (kg/m3)
996
990.2
986

Cp(kJ/kg.K)
4.180
4.181
4.183








APPENDIX B
DERIVATION OF THE GOVERNING EQUATIONS
The conservation of energy for a closed system over a time interval is given by the equation:

𝐸
𝑠𝑡
𝑡𝑜𝑡=𝑄−𝑊 (B.1)
Where

𝐸
𝑠𝑡
𝑡𝑜𝑡 is the change in the total energy stored in the system,
Q is the net heat transferred to the system,
W is the net work done by the system.
The conservation of energy for a control volume at an instant is given by the equation:

𝐸
𝑠𝑡
𝐸
𝑖𝑛
𝐸
𝑜𝑢𝑡
𝐸
𝑔. (B.2)
Next, using a dot over a term to indicate a rate, the equation above becomes:

𝐸
𝑠𝑡
𝑑
𝐸
𝑠𝑡
𝑑𝑡
𝐸
𝑖𝑛
𝐸
𝑜𝑢𝑡
𝐸
𝑔. (B.3)
Where
Est is the total energy stored in the system,
Ein is the energy flow in the system,
Eout is the energy flow out the system,
Eg is the thermal energy generation.
In the statement of the first law thermodynamics, the total energy, Etot, consists of kinetic energy (𝐾𝐸
1
2
𝑚
𝑉
2, where m and V are mass and velocity, respectively), potential energy (𝑃𝐸=𝑚𝑔𝑧, where g is the gravitational acceleration and z is ther vertical coordinate), and internal energy (U).
Based on the above discussion, the stored
 
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