AGITATED VESSEL (CONSTANT RPM)
Observations Observation Table
No. of turns 6 Cold water flow Temperature of cooling fluid Vessel liquid Speed of agitator
Helix Diameter 0.325 m Sr.no. rate (LPH) Tci(°C) Tco(°C) Temp Tv(°C) N(RPM)
Length 6.6 m 1 120 28 47 60 500
Vessel Diameter 0.4 m 2 180 29 45 60 500
Outer Diameter of pipe 0.028 m 3 240 29 44 60 500
Inner Diameter of pipe 0.02 m 4 300 29 43 60 500
pi 3.141592654 5 360 29.5 42.5 60 500
DT 0.133333333 m
Calculations
1 2 3 4 5
1. Average Temperature(Tavg) 37.5 37 36.5 36 36 °C
2. ∆T 19 16 15 14 13 °C
2. Properties of liquid
(a) Density 993.05 993.24 993.43 993.62 993.62 Kg/m³
(b) Dynamic Viscosity(μ) 0.0006865 0.0006932 0.0006999 0.0007066 0.0007066 Kg/m.s
(c) Specific Heat (Cp) 4178.5 4178.4 4178.3 4178.2 4178.2 J/Mg.k
(d) Thermal Conductivity(k) 0.627 0.6262 0.6254 0.6246 0.6246 W/m.k
3. Mass flow rate(m) 0.0333333 0.05 0.066666667 0.083333333 0.1 Kg/s
4. Heat Transfer rate(qc) 2646.38333 3342.72 4178.3 4874.566667 5431.66 W
5. Area(Ao) 0.5388804 0.5388804 0.5388804 0.5388804 0.5388804 m²
6. ∆T1 13 15 16 17 17.5 °C
7.∆T2 32 31 31 31 30.5 °C
8. Logarithmic mean Temperature difference(∆Tm) 21.092677 22.04048 22.679217 23.303278 23.401253 °C
9. Overall heat transfer Coefficient (Uo) 232.824487 281.44048 341.884306 388.174157 430.725984 W/m².°C
10. Cross-sectional area of linear pipe(Ai) 0.00031400 0.00031400 0.00031400 0.00031400 0.00031400 m²
11. Mass Velocity(Gt) 106.1033 159.15494 212.20659 265.25824 318.30989 Kg/m².s
12. Average Velocity(Vt) 0.10685 0.16024 0.21361 0.26696 0.32035 m/s
13. Reaynold's Number(Nre) 3091.13752 4591.89103 6063.91172 7508.01694 9009.62033 (turbulent flow)
14. Prandtl Number(Npr) 4.57502 4.62547 4.67603 4.72673 4.72673
15. Predicted Value of inside heat film transfer
Coeffficent (hical) 820.76231 1129.96857 1415.82347 1684.78453 1949.34794 W/m².°C
16. Predicted Value of outside heat film transfer
Coeffficent (hocal) 3863.53919 3847.97228 3832.58555 3817.375 3817.375 W/m².°C
17. 1/Uo 0.004295081 0.003553149 0.002924966 0.002576163 0.002321662 m².°C/W
18. 1/Vt^0.8 5.984030446 4.327003592 3.437975062 2.876346185 2.485971571 s/m
Graph Table
0.005
1/Uo vs 1/Vt^0.8
1/Vt^0.8 1/Uo
0.0045
5.984030446 0.004295081 0.004 f(x) = 0.000569236940874518 x + 0.000958429552887509
4.327003592 0.003553149 0.0035
3.437975062 0.002924966 0.003
1/Uo
2.876346185 0.002576163 0.0025
2.485971571 0.002321662 0.002
0.0015
0.001
0.0005
0
INTERCEPT 0.000958429553 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5
H0 experimental 1043.373503026 1/Vt^0.8
19. Hi experimental 299.701666730995 385.3981212161 508.50824629684 618.148806767 733.550615 W/m².°C
RESULT TABLE :
ho calculated ho experimental hi calculated hi experimental
3863.53919 1043.37350302612 820.76231 299.701666731
3847.97228 1043.37350302612 1129.96857 385.39812121609
3832.58555 1043.37350302612 1415.82347 508.50824629684
3817.375 1043.37350302612 1684.78453 618.14880676722
3817.375 1043.37350302612 1949.34794 733.55061502397
Name : Ranjit Doiphode
Roll no. : 3113
