Title | Lab9 - Lift Coefficient for an AirfoilUsing an Integrated Pressure Distribution |
---|---|
Author | QUANG NGUYEN |
Course | Fluid Mechanics |
Institution | Michigan State University |
Pages | 4 |
File Size | 176.5 KB |
File Type | |
Total Downloads | 10 |
Total Views | 145 |
Lift Coefficient for an Airfoil
Using an Integrated Pressure Distribution
...
Lift Coefficient for an Airfoil Using an Integrated Pressure Distribution By Quang Nguyen Partners: Huynh Anh, Aldo Fenalli, Kendall Shaw
School of Engineering
Laboratory 9 EGR 365 – Fluid Dynamics
July 7, 2017
Quang Nguyen EGR 365 Lab 9 Summary Report
1. Result and Discussion In this experiment, the lift coefficient at 4 °
angle of attack was determined and
the pressure distribution over a Clark Y-14 Airfoil was measured. The data that used to calculated experimental lift coefficient was shown in Table 1 and Table 2. Table 1: Data Table
c/C 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.075 0 0.075 0.1 0.2 0.3 0.4 0.5 0.6 0.7
Pipe
Height (in)
Rake ΔHeight (in)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
4.6 5.3 5.8 6.4 7.2 7.6 8.2 8.7 8.9 1.3 3.7 3.4 3.2 3.2 3.2 3.2 3.2 3.2
-4.6 -5.3 -5.8 -6.4 -7.2 -7.6 -8.2 -8.7 -8.9 -1.3 -3.7 -3.4 -3.2 -3.2 -3.2 -3.2 -3.2 -3.2
Manometer Tube ΔHeight (in) 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2
Cp -0.4375 -0.65625 -0.8125 -1 -1.25 -1.375 -1.5625 -1.71875 -1.78125 0.59375 -0.15625 -0.0625 0 0 0 0 0 0
Table 2: Experimental Parameter Chord Length (in) Atmospheric Height (in) U-Tube Manometer Atmospheric (in) U-Tube Manometer Tank (in)
3.5 ±0.002 0 ± 0.05 0 ± 0.05 3.2 ± 0.05
Figure 1 shown the graph of experimental pressure coefficient versus the pressure openings location percentage of chord. From the graph, the trapezoid rule was employed
Quang Nguyen EGR 365 Lab 9 Summary Report 1
to calculate the
∫Cpd 0
c . The result of C
1
∫ C p d Cc
was found as 0.872. After
0
1
∫ C p d Cc
was found, lift coefficient,
C L , was calculated using the equation:
0
1
C L =cos ( α ) ∫ C p d 0
where
CL
c (1) C
was lift coefficient,
coefficient, and
c C
α
was angle of attack,
Cp
was pressure
was percentage of location of pressure openings over length of
chord. The experimental coefficient was found as 0.870.
Experimental Cp versus c/C -2 -1.5
Cp
-1 Cp
-0.5
0 0.5 -0.1
1
0.1
0.3
0.5
0.7
0.9
1.1
�/�
Figure 1: Experimental Cp versus Theoretically, using software, the graph of
c C
C p when angle of attack was 4 °
was shown in Figure 2. According to Figure 2, the value of lift coefficient was 0.916, which was closely matched with the experimental value. The percent difference between experimental and theoretical value of lift coefficient was 5.02%. The possible sources of
Quang Nguyen EGR 365 Lab 9 Summary Report
error in this experiment were human error in reading the value of pressure measurement, old equipment, and uncertainty in measurement equipment.
Figure 2: Theoretical graph and result using software 2. Conclusion The theoretical value of lift coefficient, which was 0.916, and experimental value of lift coefficient, which was 0.87 were closely matched with 5.02% difference. The possible sources of error in this experiment were human error in measurement, old equipment, and uncertainty in measurement equipment....