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Examining
  Bernoulli’s
   Principle
  through the
McKee Breezeway
Measuring the Effects of Building Construction on Wind Flow
                   Through a Structure
Ross Kononen, Keri Bowling, Nick Horianopoulos, and Matt Nolen
Scientific Observation
• McKee Hall’s breezeway
  – Uncomfortable!
  – Cold
  – Windy
Scientific Observation
- Ross Kononen noticed wind while
   skateboarding
Scientific Question
• Why does the wind velocity appear to
  increase inside of the McKee breezeway?

• Probable Cause: Dynamic of wind changed by
  some property of building
Hypothesis
• If the McKee Hall Breezeway acts as a venturi,
  then:
 1. High pressure will exist in front of
    and behind the breezeway
 2. Low pressure will exist within the
    breezeway
 3. The velocity within the breezeway
    will increase due to the pressure
    differential between the outside
    and the inside of the breezeway
Supporting Literature
•   Blocken B, Stathopoulos T, Carmeliet J. (2008) Wind environmental
    conditions in passages between two long narrow perpendicular buildings.
    Journal of Aerospace Engineering – ASCE 21(4): 280-287
•   Gaimbattista, A., Richardson, B., & Richardson, R.C. (2010) Physics (2nd ed.).
    New York, NY: McGraw-Hill Companies, Inc.
•   Heim, D., and Klemm, K., (2009) LOCAL WIND AND RAIN CONDITIONS IN
    SEMI-CLOSED NARROW CORRIDORS BETWEEN BUILDINGS , Eleventh
    International IBPSA Conference, Glasgow, Scotland July 27-30, 2009 1745 –
    1752.
•   McIlveen, J. F. R., (2002) The everyday effects of wind drag on people,
    Weather , Vol. 57, pp. 410-417
•   Serway, R.A., Faughn, J.S. Vuille, C., Bennett, C.A., (2006) College Physics, (7th
    ed.), Belmont, CA: Thomas Brooks/Cole, Ch. 6, 160-164
•   APB Foundation. (1998). Session 9, Part B: Surface Area and Volume. Retrieved
    November 04, 2011, from Learning Math: Measurement:
    http://www.learner.org/courses/learningmath/measurement/session9/solution
    s_b.html#b8
Examination of Space
Examination of Space
                                             We thought we
            Initial Speed 2.995 m/s
                                             could model a value
            Final Velocity 0. 939 m/s
                                             for the wind slowing
                                             Ross down
            Outside headwind 2.995 m/s
            Inside headwind???

                                            8.3m   from motion equations

Ignored:
   •Friction (ground, wheels, Ross’ hair)
   •Rotational losses
   •Vectors
                                            4.25s      an estimate
Estimation of Wind Speed
Used momentum equation to determine force required to slow Ross down:

          F t            p       mV f         mVi
               m                         m                    m
116.1 kg 2.995            116.1 kg 0.939            238 .7 Kg
               s                         s                    s
                                    p
                      Fav
                                    t
                          m
                 238.7 Kg
                          s             56.2N
                    4.25s
Estimation of Wind Speed
  Estimation of Drag Force (modeled at 0.50)

                            2
                Cd Av              drag force (in N)
         2
Where:                                                       known from
                                                             momentum
                                                              equation
     Air Density, usually 1.2 kg/m3

Cd   Coefficient of Drag, 0.5 (McIlveen 2002)

 A   Area, m2                1.2
                                 Kg
                                 m3     0.50 0.4247m 2 v 2   56.2N
 v   Velocity in m/s            2

                  m                            m       m
         v 21.0     original headwind of 2.995   18.01
                  s                            s       s
Estimation of Wind Speed
  Estimation of Drag Force (modeled at 0.85)

                            2
                Cd Av              drag force (in N)
         2
Where:                                                       known from
                                                             momentum
                                                              equation
     Air Density, usually 1.2 kg/m3

Cd   Coefficient of Drag, 0.85 (Engineering Toolbox, 2011)

 A   Area, m2                1.2
                                 Kg
                                 m3    0.85 0.4247m 2 v 2    56.2N
 v   Velocity in m/s            2

                  m                            m       m
         v 16.1     original headwind of 2.995   13.11
                  s                            s       s
Rosstimation
• Ross is 6’4” or 193 cm
• Make a square with arms out
• Fingertip-fingertip distance is
  roughly your height
• Square that value, 3/5ths = surface area
  (Annenberg Foundation 2011)

   19%
                                •Only 19% surface area exposed to
                                relative wind
                                •Side profile 4247cm2 or 0.4247m2
Physicist Approved!
• Dr. Matthew Semak
• Numbers and physics “make sense”
So to review…
• 13-18 m/s (46 kph to 65 kph) gusts slowing a
  skateboarder in 8m and 4 ¼ seconds inside
  McKee Breezeway
• We should expect values somewhat close to
  these if hypothesis = valid (a 1:~7 down to a 1:4 ratio
  of speed inside to speed outside)
• We began our research!
Data Collection
• We collected data…
Data Collection
• Three data collectors
• Data taken:
  – 10 readings
  – 30 seconds
  – 5 minutes total
Data Collection

Equidistant, along centerline
Data Collection
• We used calibrated anemometers
• Precision to the 1/10th m/s
Collection Problem
• Notes
  – Surprisingly few windy days
• 10 attempts, 3 conditions of observable data
Collection Problem
• Unique weather conditions
  – When in Colorado is it not windy during Fall?
  – Four years history – winds low in 2011!
• Wind mostly came from out of NNE
  – Also unusual
• Last reading came out of SSW!
  – Low wind readings outboard
  – High wind readings inside
  – Supporting?
Collection Problem
                 October 2011




October 2010
Findings
                                Observations on Oct. 20, 2011

                       14                                                                                                                                Observations on Nov. 6, 2011
Wind Velocity (km/h)




                       12                                                                                                            8
                       10                                                                                                            7




                                                                                                              Wind Velocity (km/h)
                        8                                                                                                            6
                        6                                                                                                            5
                        4                                                                                                            4
                        2                                                                                                            3
                        0                                                                                                            2
                                                                                                                                     1
                            1   2                           3     4     5   6     7      8      9   10
                                                                                                                                     0
                                                                Trial Number
                                                                                                                                         1       2       3    4     5   6    7   8   9   10
                                                                                                                                                              Trial Number

                                                                                      Observations on Oct. 25, 2011
                                                           12
                                                                      SE Side of McKee
                                                           10
                                    Wind Velocity (km/h)




                                                                      Breezeway Center
                                                            8         NW Side of McKee

                                                            6

                                                            4

                                                            2

                                                            0
                                                                  1       2       3          4 Trial 5    6
                                                                                                     Number                          7       8       9       10
Findings
                                     Average Wind Velocities from Measurement Points


                                 9
  Average Wind Velocity (km/h)

                                 8
                                 7
                                                                                       Oct.
                                 6                                                     20
                                 5
                                                                                       Oct.
                                 4
                                                                                       25
                                 3
                                 2                                                     Nov.
                                                                                       06
                                 1
                                 0
                                      SE side           Breezeway           NW side
                                                     Measurement Point




Mostly shows higher wind values
outside of breezeway than inside!
                                     AHHHHHH!
Findings
       Do we reject hypothesis?
•Majority of observations do not support
hypothesis
•Curious conditions cause suspicion
•Not enough data able to be taken to support
conclusion either way
•Why??
Analysis
•What we think
happened:

            High pressure
             (low speed)
Potential Sources of Error
• Trees
• Measurement error
      – Face into wind?
• Oddball weather conditions
                October 2011




October 2010
Applying this to classroom
•Teach learners that science is complex
•Object lesson: wind patterns, historical data
•You may have to make many observations to
prove or disprove hypothesis
•Inquiry based projects promote group work
skills
•You may not just get different results, you may
get results that don’t match observations
•Knowledge of Bernoulli’s Principle can help
students make better decisions during the
course of their lives

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Bernoulli's in a Building

  • 1. Examining Bernoulli’s Principle through the McKee Breezeway Measuring the Effects of Building Construction on Wind Flow Through a Structure Ross Kononen, Keri Bowling, Nick Horianopoulos, and Matt Nolen
  • 2. Scientific Observation • McKee Hall’s breezeway – Uncomfortable! – Cold – Windy
  • 3. Scientific Observation - Ross Kononen noticed wind while skateboarding
  • 4. Scientific Question • Why does the wind velocity appear to increase inside of the McKee breezeway? • Probable Cause: Dynamic of wind changed by some property of building
  • 5. Hypothesis • If the McKee Hall Breezeway acts as a venturi, then: 1. High pressure will exist in front of and behind the breezeway 2. Low pressure will exist within the breezeway 3. The velocity within the breezeway will increase due to the pressure differential between the outside and the inside of the breezeway
  • 6. Supporting Literature • Blocken B, Stathopoulos T, Carmeliet J. (2008) Wind environmental conditions in passages between two long narrow perpendicular buildings. Journal of Aerospace Engineering – ASCE 21(4): 280-287 • Gaimbattista, A., Richardson, B., & Richardson, R.C. (2010) Physics (2nd ed.). New York, NY: McGraw-Hill Companies, Inc. • Heim, D., and Klemm, K., (2009) LOCAL WIND AND RAIN CONDITIONS IN SEMI-CLOSED NARROW CORRIDORS BETWEEN BUILDINGS , Eleventh International IBPSA Conference, Glasgow, Scotland July 27-30, 2009 1745 – 1752. • McIlveen, J. F. R., (2002) The everyday effects of wind drag on people, Weather , Vol. 57, pp. 410-417 • Serway, R.A., Faughn, J.S. Vuille, C., Bennett, C.A., (2006) College Physics, (7th ed.), Belmont, CA: Thomas Brooks/Cole, Ch. 6, 160-164 • APB Foundation. (1998). Session 9, Part B: Surface Area and Volume. Retrieved November 04, 2011, from Learning Math: Measurement: http://www.learner.org/courses/learningmath/measurement/session9/solution s_b.html#b8
  • 8. Examination of Space We thought we Initial Speed 2.995 m/s could model a value Final Velocity 0. 939 m/s for the wind slowing Ross down Outside headwind 2.995 m/s Inside headwind??? 8.3m from motion equations Ignored: •Friction (ground, wheels, Ross’ hair) •Rotational losses •Vectors 4.25s an estimate
  • 9. Estimation of Wind Speed Used momentum equation to determine force required to slow Ross down: F t p mV f mVi m m m 116.1 kg 2.995 116.1 kg 0.939 238 .7 Kg s s s p Fav t m 238.7 Kg s 56.2N 4.25s
  • 10. Estimation of Wind Speed Estimation of Drag Force (modeled at 0.50) 2 Cd Av drag force (in N) 2 Where: known from momentum equation Air Density, usually 1.2 kg/m3 Cd Coefficient of Drag, 0.5 (McIlveen 2002) A Area, m2 1.2 Kg m3 0.50 0.4247m 2 v 2 56.2N v Velocity in m/s 2 m m m v 21.0 original headwind of 2.995 18.01 s s s
  • 11. Estimation of Wind Speed Estimation of Drag Force (modeled at 0.85) 2 Cd Av drag force (in N) 2 Where: known from momentum equation Air Density, usually 1.2 kg/m3 Cd Coefficient of Drag, 0.85 (Engineering Toolbox, 2011) A Area, m2 1.2 Kg m3 0.85 0.4247m 2 v 2 56.2N v Velocity in m/s 2 m m m v 16.1 original headwind of 2.995 13.11 s s s
  • 12. Rosstimation • Ross is 6’4” or 193 cm • Make a square with arms out • Fingertip-fingertip distance is roughly your height • Square that value, 3/5ths = surface area (Annenberg Foundation 2011) 19% •Only 19% surface area exposed to relative wind •Side profile 4247cm2 or 0.4247m2
  • 13. Physicist Approved! • Dr. Matthew Semak • Numbers and physics “make sense”
  • 14. So to review… • 13-18 m/s (46 kph to 65 kph) gusts slowing a skateboarder in 8m and 4 ¼ seconds inside McKee Breezeway • We should expect values somewhat close to these if hypothesis = valid (a 1:~7 down to a 1:4 ratio of speed inside to speed outside) • We began our research!
  • 15. Data Collection • We collected data…
  • 16. Data Collection • Three data collectors • Data taken: – 10 readings – 30 seconds – 5 minutes total
  • 18. Data Collection • We used calibrated anemometers • Precision to the 1/10th m/s
  • 19. Collection Problem • Notes – Surprisingly few windy days • 10 attempts, 3 conditions of observable data
  • 20. Collection Problem • Unique weather conditions – When in Colorado is it not windy during Fall? – Four years history – winds low in 2011! • Wind mostly came from out of NNE – Also unusual • Last reading came out of SSW! – Low wind readings outboard – High wind readings inside – Supporting?
  • 21. Collection Problem October 2011 October 2010
  • 22. Findings Observations on Oct. 20, 2011 14 Observations on Nov. 6, 2011 Wind Velocity (km/h) 12 8 10 7 Wind Velocity (km/h) 8 6 6 5 4 4 2 3 0 2 1 1 2 3 4 5 6 7 8 9 10 0 Trial Number 1 2 3 4 5 6 7 8 9 10 Trial Number Observations on Oct. 25, 2011 12 SE Side of McKee 10 Wind Velocity (km/h) Breezeway Center 8 NW Side of McKee 6 4 2 0 1 2 3 4 Trial 5 6 Number 7 8 9 10
  • 23. Findings Average Wind Velocities from Measurement Points 9 Average Wind Velocity (km/h) 8 7 Oct. 6 20 5 Oct. 4 25 3 2 Nov. 06 1 0 SE side Breezeway NW side Measurement Point Mostly shows higher wind values outside of breezeway than inside! AHHHHHH!
  • 24. Findings Do we reject hypothesis? •Majority of observations do not support hypothesis •Curious conditions cause suspicion •Not enough data able to be taken to support conclusion either way •Why??
  • 25. Analysis •What we think happened: High pressure (low speed)
  • 26. Potential Sources of Error • Trees • Measurement error – Face into wind? • Oddball weather conditions October 2011 October 2010
  • 27. Applying this to classroom •Teach learners that science is complex •Object lesson: wind patterns, historical data •You may have to make many observations to prove or disprove hypothesis •Inquiry based projects promote group work skills •You may not just get different results, you may get results that don’t match observations •Knowledge of Bernoulli’s Principle can help students make better decisions during the course of their lives