Report Work
EXPERIMENT NO: 3
DATE:-
POWER CONSUMPTION IN AGITATED VESSELS
OBJECTIVE:
➢ To determine power consumption for different agitator system in an
agitated Vessel
1. Radial impeller
2. Radial impeller with baffles
3. Axial impeller
4. Axial impeller with baffles
➢ To determine the flow type in agitator vessel at different mixing speed
➢ To determine the relation between Reynolds number and power number
in
agitated vessel for different agitator system
PROCEDURE:
➢ Clean the agitator vessel, agitator impeller and stainless-steel baffles.
➢ Make sure the drain valve at the bottom of the vessel is closed and start
filling the water inside the vessel. Fill ¾ to the volume of the vessel with
water and check for any leaks before starting the experiment.
➢ Make sure the power supply is switched off while filling the vessel with
water.
➢ Using the L type spanner fix the impeller to the shaft to complete the
agitator set up.
➢ Once the agitator set up is ready, switch on the main power supply and
initiate the mixing process by adjusting the speed of agitator using the
speed regulator knob available.
➢ (NOTE: Always start with low speed and slowly increase the speed of
agitator to fix the agitator speed at a particular rpm. Ex: To set the speed
as 100 rpm, start with 10 rpm and gradually increase the speed to reach
100 rpm.)
➢ Once the agitation rpm is fixed, collect the Voltage and Ampere data from
the display board in the unit.
➢ Repeat step 6 and 7 for different agitator speed and prepare the data
table.
➢ After collecting the data for 4 to 5 different rpm levels, switch off the
power supply. Fix the baffle plates to the side wall of the reactor in the
provision provided.
➢ Repeat the experiment from step 5 to 8 and collect data for agitator unit
with baffles system. Switch off the power supply and remove the impeller
and baffles from vessel.
➢ Fix the other type of impeller and repeat the steps 4 to 10 and complete
the data collection process.
➢ Calculate Reynolds number and Power number all the datasets and find
the correlation between Reynolds and Power number using graphical
method.
FORMULA:
POWER CONSUMPTION AND POWER NUMBER:
P = 𝑁𝑝 𝑛3 𝜌𝐷5
𝑁𝑝 =
𝑃
𝑛3 𝜌𝐷5
Where ,
P = Rotor power (Watt)
𝑁𝑝 = Power Number
𝞀 = density of liquid(kg/𝑚3 )
𝑛3 = Rotor/agitator speed measured in revolutions/second
𝐷5 =Rotor/impeller diameters (m)
REYNOLDS NUMBER:
𝑁𝑅𝑒
𝐷2 𝑁𝜌
=
𝜇
DATA COLLECTION:
RADIAL IMPELLER
S.NO
1
2
3
4
5
𝑁𝑖 (rpm-
Voltage(V-
Current(A-
RADIAL IMPELLER WITH BAFFLES
S.NO
𝑁𝑖 (rpm)
Voltage(V)
Current(A)
1
100
38
0.20
2
200
67
0.26
3
300
98
0.34
4
400
130
0.46
5
500
166
0.63
S.NO
1
𝑁𝑖 (rpm)
100
Voltage(V)
32
Current(A)
0.05
2
200
60
0.08
3
300
76
0.09
4
5
400
500
98
135
0.11
0.14
AXIAL IMPELLER
AXIAL IMPELLER WITH BAFFLES
S.NO
𝑁𝑖 (rpm)
Voltage(V)
Current(A)
1
100
33
0.07
2
200
59
0.10
3
300
87
0.13
4
400
118
0.19
5
500
146
0.24
CALCULATION:
REYNOLDS NUMBER: 𝑁𝑅𝑒 =
𝐷2 𝑁𝜌
𝜇
FOR ALL AGITATOR SYSTEM:
1.
2.
3.
4.
5.
0.472 ∗100∗-∗10−3
0.472 ∗200∗-∗10−3
0.472 ∗300∗-∗10−3
0.472 ∗400∗-∗10−3
0.472 ∗500∗-∗10−3
=-
=24,566,346.9
=36,849,520.35
=49,132,693.8
=61,415,867.25
POWER CONSUMPTION AND POWER NUMBER: P = V*I
FOR RADIAL IMPELLER:
37∗0.18
1.
𝑁𝑝 =
1003 ∗997∗0.475
2.
𝑁𝑝 =
2003 ∗997∗0.475
3.
𝑁𝑝 =
3003 ∗997∗0.475
4.
𝑁𝑝 =
4003 ∗997∗0.475
5.
𝑁𝑝 =
64∗0.21
90∗0.24
47∗0.27
144∗- ∗997∗0.475
=
=
=
=
=
6.66
22,865,-,925,577.6
21.6
617,373,824.3
12.69
1,463,404,621
44.64
2,-
= 2.91*10−7
= 7.34*10−8
= 3.49*10−8
= 8.67*10−9
= 1.56*10−8
FOR RADIAL IMPELLER WITH BAFFLES:
1.
𝑁𝑝 =
38∗- ∗997∗0.475
=
7.6
22,865,697.2
= 3.32*10−7
𝑁𝑝 =
𝑃
𝑛3 𝜌𝐷5
67∗0.26
2.
𝑁𝑝 =
2003 ∗997∗0.475
3.
𝑁𝑝 =
3003 ∗997∗0.475
4.
𝑁𝑝 =
5.
𝑁𝑝 =
98∗0.34
5003 ∗997∗0.475
33.32
=
= 5.39*10−8
617,373,824.3
=
4003 ∗997∗0.475
= 9.52*10−8
182,925,577.6
=
130∗0.46
166∗0.63
17.42
=
59.8
1,463,404,621
104.58
2,858,212,150
= 4.08*10−8
= 3.65*10−8
FOR AXIAL IMPELLER:
32∗0.05
1.
𝑁𝑝 =
1003 ∗997∗0.475
2.
𝑁𝑝 =
2003 ∗997∗0.475
3.
𝑁𝑝 =
3003 ∗997∗0.475
4.
𝑁𝑝 =
4003 ∗997∗0.475
5.
𝑁𝑝 =
60∗0.08
76∗0.09
98∗0.11
135∗- ∗997∗0.475
=
=
=
=
=
1.6
22,865,-,925,577.6
6.84
617,373,824.3
10.78
1,463,404,621
18.9
2,858,212,150
= 6.99*10−8
= 2.62*10−8
= 1.108*10−8
= 7.36*10−9
= 6.61*10−9
FOR AXIAL IMPELLER WITH BAFFLE:
33∗0.07
1.
𝑁𝑝 =
1003 ∗997∗0.475
2.
𝑁𝑝 =
2003 ∗997∗0.475
3.
𝑁𝑝 =
3003 ∗997∗0.475
4.
𝑁𝑝 =
5.
𝑁𝑝 =
59∗0.10
87∗0.13
118∗- ∗997∗0.475
146∗- ∗997∗0.475
=
=
=
=
=
2.31
22,865,-,925,577.6
-,373,824.3
22.42
1,463,404,621
35.04
2,858,212,150
= 1.01*10−7
= 3.22*10−8
= 1.83*10−8
= 1.53*10−8
= 1.23*10−8
CALCULATED DATA:
NI
REYNOLDS
NUMBER
POWER NUMBER
RADIAL
RADIAL
BAFFLED
AXIAL
AXIAL
BAFFLED
100
-
2.91*10−7 3.32*10−7 6.99*10−8
1.01*10−7
200
24,566,346.9
7.34*10−8
3.22*10−8
300
36,849,-*10−8 5.39*10−8 1.108*10−8 1.83*10−8
400
49,132,693.8
8.67*10−9 4.08*10−8 7.36*10−9
1.53*10−8
500
61,415,-*10−8 3.65*10−8 6.61*10−9
1.23*10−8
9.52*10−8 2.62*10−8
CORRELATION FOR 𝑁𝑅𝑒 AND 𝑁𝑝 AS GRAPH:
3.5E-
POWER NUMBER
2.5E-E-E-08
0
0
-
-
-
-
-
REYNOLD'S NUMBER
Radial
Rad w/baffle
Axial
Axial w/baffle
-
-
DISCUSSION:
• Power number is directly proportional to power consumption according to
the formula, so with increase in power consumption power number
increases.
• From the graph of correlation between Reynold’s number and power
number, it can be interpreted as, Radial agitator systems consume more
power compared to the Axial agitator systems.
• And also, greater the Reynolds number, the flow of fluid inside the
agitator would be turbulent, which ensures good mixing pattern than
laminar flow.
• Here we can observe that, as the rpm increases, there is an increase in
good mixing pattern due to the turbulent flow. So that, Axial impellers
show good mixing pattern with less power consumption.
• Axial impeller with baffle consumes slightly more power when compared
to axial impellers.
• As the Reynold’s number increases, Power number decreases, this profile
is same for all four models. There is no variation here.
• For all four models power number decreases with increase in rpm and
Reynold’s number increases, which shows that, with increase in rpm there
is an increase in good mixing pattern for all systems.
• With lower power number and higher Reynold’s number, the flow is
turbulent, which is observed in all four systems but the most efficient
system is Axial and Axial with baffles agitators.
• With change in flow regimes, different systems act in a similar way.
• Power consumption is higher in Agitator with baffles when compared to
systems without baffles.
CONCLUSION:
All four agitator systems perform well in mixing but some of these consume
more power comparatively.
The most efficient system with less power consumption is the Agitator system
with Axial impeller