p r o b l e m # 1 5 blowing bubbles - physlab · 2018-08-10 · bubbles produced from single soap...
TRANSCRIPT
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I Y P T 2 0 1 8
P R O B L E M # 1 5
BLOWING BUBBLEST EA M PA K I S TA N
I F R A H M A H M O O D
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PROBLEM STATEMENT
• When blowing on a soap film in the ring, a bubble may be formed. The liquid film may pop or continue to exist. Investigate how the number of bubbles produced from a single soap film and the characteristics of the bubbles depend on the relevant parameters.
2
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3
PRELIMINARY OBSERVATIONS
ANALYSIS
THEORY
EXPERIMENTAL SETUP
CONCLUSION
3
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PRELIMINARY OBSERVATIONS
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Preliminary Observations
• Soap film is formed due to the surfactant.
• Increasing detergent concentration reduces surface tension and large number of bubbles are blown.
• Number of bubbles reaches peak around 100%concentration of detergent.
• 10% of surfactant exhibits a small number of bubbles.
• We took many concentrations and observe the number of bubbles.
5
Relation of concentration with number of bubbles
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0
5
10
15
20
25
30
0 20 40 60 80 100 120
NU
MB
ER O
F B
UB
BLE
S
PERCENTAGE CONCENTRATION OF DETERGENT%
number of bubbles
As the concentration increases the number of
bubbles increase
Relation of concentration with number of bubbles
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• The film formed from the solution with maximum concentration (80%surfactant and 20%water) exists for 19.5s(approx.)
• Whereas the film formed from the solution of (20% surfactant and 80% water ) exists for 6.04s(approx.)
• Similarly the solution with concentration(50% surfactant and 50%) exists for long time 22.02s(approx.)and produce maximum bubbles per second.
• On other hand the film formed from the solution of minimum concentration (1%surfactant and 99%) lasts for 5.54s(approx.)
Preliminary Observations
7
Relationship of concentration of soap film with duration of soap film
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0%
20%
40%
60%
80%
100%
5.54s 7.02s 22.02s 22.37s
CO
NC
ERN
TRA
TIO
N O
F D
ETER
GEN
T
TIME PERIOD OF SOAP FILM
Relation of concentration with duration of soap film
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Preliminary ObservationsRelationship of concentration of soap film with flowrate of air
14.03 15.67 16.44 17.79 19.01
0
20
40
60
80
100
120
0 1 2 3 4 5 6
Pert
enta
ge c
on
cen
trat
ion
of
det
erge
nt
Flowrate of gas
concentration of detergent flowrate of air Linear (flowrate of air)
As the concentration increases the flowrate increases
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Preliminary Observations
Proper surface tension is needed to produce soap bubbles
Water
Soap molecules
Soap molecules
Hydrophilic head
Hydrophobic tail
• Soap film is formed due to Marangoni effect• Soap lower the surface tension of water
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Preliminary Observations
Proper surface tension is needed to produce soap bubbles
• Soap film is made from soap and water
Water
Soap molecules
Soap molecules
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Preliminary ObservationsBubble is always spherical
Surface tension
• Surface tension is pulling the water molecules in all directions and creating net inward force
• Hydrostatic equilibrium between the internal pressure and surface tension. One of it is trying to expand spherically the other to contract spherically.
• Moreover the air pressure present inside the soap bubble opposes this and equilibrium is obtained Moreover the air pressure present inside the soap bubble opposes this and equilibrium is obtained
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P o p p i n g o f b u b b l e
BURST
• Internal pressure increases
• Elastic membrane become thin
Surface tension
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Hypothesis
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Soap bubbles are produced when the gas blowing velocity exceeds threshold vg (i.e. vg> vc)
BELOW THRESHOLD ABOUT THRESHOLD ABOVE THRESHOLD
vg> vcvg< vc
vc vc vg
Dimple is formed
It becomes greater as the speed increases
Hypothesis 1
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1/2pgvg2 = 4ˠ /Ro
Dynamic pressure of gas jet
Laplace pressure of the cavity
P= density of gas(kgm-2)
Vg= velocity of gas flow (m.s-1)
𝛾= surface tension of the solution(N\m)
R0 = radius of nozzle
δ = 0Energy transport
Dynamic pressure of gas jet
Laplace pressure of the cavity
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𝑣g = √ 8𝛾 /𝜌𝑔𝑅ofor δ = 0
P= density of gas(kgm-2)
Vg= velocity of gas flow (m.s-1)
𝛾= surface tension of the solution(N\m)
R0 = radius of nozzle
Threshold velocity Distance between the
soap film and nozzle
δ = 0Energy transport
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Hypothesis 2First bubble is generated when the radius of ring become
equal to the curvature of bubble (Rc=Rg)
vg
Rc=curvature of bubbleRg=radius of ring
Rc=Rg
Rc
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Hypothesis 3Pressure inside the soap bubble is greater than the pressure
outside the soap bubble(Pi>Po)
P(inside) − P(outside) = 4Ɣ/R
Pressure difference Radius of the bubble
Pi=pressure insidePo=pressure outsideR= radius of the bubble
pressure inside
pressure outside
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Hypothesis 4
productivity(p is the number of bubbles one soap film can produced per second.
P=ΠR0vg/4/3ΠR,3
Ro= radius of the nozzleR , =radius of bubble
Number of bubbles single film can produced Gas flow velocity
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N=p*∆t
Number of bubbles
T=timeP=number of bubbles one film can produced per second
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Characteristics to be discussed with respect to parameters:
•Size of bubbles
•Number of bubbles(productivity)
•life span of bubbles
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Parameters:•Velocity of the gas
• Radius of the nozzle
•Distance of nozzle from the ring
• Surface tension of the solution
• Temperature of the solution
• Thickness of film
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Experimental setup
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nozzle
Flow meter
compressor
Experimental setup
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Experiment 1Number of bubbles
Flowrate of gasSurface tension of solutionTemperature of soap filmThickness of soap film
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Experiment 1Number of bubbles
(single bubble analysis)
Control variables: Radius of ring : 1.6cm Diameter of nozzle:0.6cm Distance of nozzle from ring:
δ:1.3cm Concentration of surfactant :50% Density of gas:1.225 kg/m3
Independent variables:• velocity of gas
Dependent variable : number of bubbles
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Experiment 1Number of bubbles
(single bubble analysis)
Results : Bubbles start forming
at 10L/m Maximum number of
bubbles are formed at 14L/m
0
5
10
15
20
25
1 2 4 6 8 10 12 14 16 18
Nu
mb
er
of
bu
bb
les
Velocities of air
Bubbles start forming
Maximum number of bubbles are formed
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Experiment 2Concentration and f lowrate of
air
Control variables: Radius of ring : 1.6cm Diameter of nozzle:0.6cm Distance of nozzle from
ring: δ:1.3cm Density of gas:1.225 kg/m3
Independent variables:• flowrate of gas• Concentration of surfactant
Analysis : number of bubbles and radius of bubbles
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25
2019.5
12
74
1.11.4
1.7
2.32.6
3.1
0
0.5
1
1.5
2
2.5
3
3.5
0
5
10
15
20
25
30
0 20 40 60 80 100 120
nu
mb
er
of
bu
bb
les
percentage concerntration 0f detergent
flowrate (L/m)of air
number of bubbles
radius of bubbles(cm|)
Linear (radius ofbubbles(cm|))
Experiment 2Radius and Number of bubbles
(Different concentrations)
As the concentration increases the flowrate increases and number of number also increases
Due to increases in flowrate of air the radius of bubble decreases
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Experiment 3Temperature of soap fi lm
Control variables: Radius of ring : 1.6cm Diameter of nozzle:0.6cm Distance of nozzle from ring:
δ:1.3cm Flow rate of gas:16.1(L/m) Concentration of detergent : 50% Density of gas:1.225 kg/m3
Independent variables:• Temperature of soap film
analysis: number of bubbles
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0 5 10 15 20
4
10
20
30
40
50
NUMBER OF BUBBLES
TEM
PER
ATU
RE
OF
SOA
P F
ILM
°C
Experiment 3Number of bubbles
Maximum number of bubbles are formed at 30°C
Conclusion: Cohesive forces
decrease with the increase of molecular thermal activity
Surface tension decrease when temperature increases.
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Experiment 4Thickness of soap fi lm
Control variables: Radius of ring : 1.6cm Diameter of nozzle:0.6cm Distance of nozzle from ring:
δ:1.3cm Density of gas:1.225 kg/m3
Independent variables:• Amount of glycerin
Analysis : number of bubbles
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0
2
4
6
8
10
12
14
16
18
9.7 16.79 21.1 28.96 33.3
Nu
mb
er o
f b
ub
ble
s
Percentage % concentration of glycerin
Experiment 4Thickness of soap fi lm
Conclusion: Higher the
concentration of glycerin lower the number of bubbles
Maximum number of bubbles are formed at 9.7%
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Experiment 5Size of bubbles at different f lowrates
Control variables: Radius of ring : 1.6cm Diameter of nozzle:0.6cm Distance of nozzle from ring:
δ:1.3cm Density of gas:1.225 kg/m3
Independent variables:• Flowrate of gas
Analysis :size of bubbles
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1.11.4
1.7
2.32.6
0
0.5
1
1.5
2
2.5
3
0 5 10 15 20
Rad
ius
of
bu
bb
les
Flowrate of air
As the flowrate increases the radius of the bubble decreases
Experiment 5Size of bubbles at different f lowrates
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conclusion
0
5
10
15
20
25
30
0 50 100 150
NU
MB
ER O
F B
UB
BLE
S
PERCENTAGE CONCENTRATION OF DETERGENT%
number ofbubbles
As the concentration
Relationship between the concentrations of detergents and the number of bubbles produced from single soap film and the duration of soap film
How and why the soap film is produced and the role of surface tension in bubble formation
Concentration of detergent and its affects on flowrate of gas
0%
20%
40%
60%
80%
100%
5.54s 7.02s 22.02s 22.37s
CO
NC
ERN
TRAT
ION
OF
DET
ERG
ENT
TIME PERIOD OF SOAP FILM
• Soap film is formed due to Marangoni effect• Soap lower the surface tension of water
14.03 15.67 16.44 17.79 19.01
0
20
40
60
80
100
120
0 1 2 3 4 5 6
Pert
enta
ge c
on
cen
trat
ion
of
det
erge
nt
Flowrate of gas
concentration of detergent flowrate of air
Linear (flowrate of air)
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conclusion
Surfactant and its role in formation of bubble Popping of bubble
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conclusion Discuss some hypothesis above the bubble formation
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conclusion
The relationship between the velocity of jet and the pressure inside the bubble
Characteristics of bubbles with respect to parameters The radius and the number of bubbles at different
concentration and flowrate
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conclusion
Number of bubbles by varying the temperature of soap film
The relation between the thickness of soap film and the number of bubbles
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conclusion
• Radius of bubbles on different flow rates
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concentration flowrate radius bubbles
100 19.01 1.1 25
80 17.79 1.4 21
60 16.44 1.7 19.5
40 15.67 2.3 12
20 14.03 2.6 7
10 13.98 3.1 4
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0
5
10
15
20
25
4 4.5 4.5 5 19 19.5 19.8 19.9 22 25
FLO
WR
ATE
OF
GA
S (L
/M)
NUMBER OF BUBBLES
Experiment 1Number of bubbles
Maximum number of bubbles are formed22.01(L/m) (100%
concentration) Conclusion: Higher the
concentration greater the bubbles blown out
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Hypothesis 5
Duration or stability of soap bubbles(amount of time in which bubbles are produced from the film)
∆tR’
vg
T=amount of time that film keep generating bubblesVg=gas flow velocity
UNSTABLE