התנהגות חיל האוויר: התפלגות לחץ על כנף קלארק Y-14

An airfoil is a two-dimensional wing section that generates lift in an aircraft. Airfoils come in many geometries, but they are all described by the same features. The leading edge is the point at the front of the airfoil with maximum curvature. And similarly, the trailing edge is the point of maximum curvature at the back of the airfoil.

The chord line is a straight line connecting the leading and trailing edges. The chord length, c, is the length of this chord line and is used to describe the dimensions in other directions as percentages of the chord length.

Here, we will focus on the Clark Y-14 airfoil, which has a thickness of 14% chord length and is flat on the lower surface from 30% chord back to the trailing edge. At various angles of attack, the airfoil generates lower pressures on the upper surface and higher pressures on the bottom surface with respect to the approaching air pressure.

According to Bernoulli's Principle, this pressure difference is a result of differences in velocity between the upper and lower regions of the airfoil, which are caused by air molecules interacting with the curved surfaces. The lower pressure region on the upper surface has a higher velocity than the higher pressure region on the lower surface.

If the shear forces parallel to the surface of the airfoil are neglected, then the overall pressure force is what generates lift. We can define the pressure coefficient, Cp, for an arbitrary point on the airfoil using this relationship.The pressure coefficient is a non-dimensional number, which describes the relative pressures throughout a flow field. P is the absolute pressure, P infinity is the free-stream pressure, and rho infinity and V infinity are the free stream density and velocity, respectively.

Except for leading edge locations, the pressure force directions determined by Cp, approximately point upward in the same direction as lift at low angles of attack. Thus, we can calculate a non-dimensional lift coefficient, CL, which relates generated lift to the fluid flow around the object using this relationship. Here, c is the chord length and x is the horizontal coordinate position with zero as the leading edge.

In this experiment, we will analyze the pressure distribution on the surface of an airfoil, which has 19 pressure taps on its surface. Each of the pressure readings are measured using a liquid manometer. You will measure the pressure distribution and lift by subjecting the airfoil to airflow in a wind tunnel at various angles of attack.

For this experiment, you will use an aerodynamic wind tunnel with a test section of 1 ft by 1 ft and a maximum operating air speed of 140 mph. The model airfoil is an aluminum Clark Y-14 airfoil with 19 built-in ports for pressure tubes. The locations of the pressure ports are shown here. The port coordinate is determined by dividing the location of the port by the chord length. The pressure ports are connected to a manometer panel filled with colored oil but marked as water-inch graduations.

To begin, remove the top cover of the test section and install the airfoil vertically on the turntable, making sure that port number one is facing upstream. Replace the top cover of the test section. Note that the airfoil model is touching both the floor and ceiling of the wind tunnel test section in order to make sure there is no 3D flow developed around the airfoil.

Connect the 19 labeled pressure tubes to the corresponding ports of the manometer. Now rotate the turntable for the angle of attack to be zero. Then, turn on the wind tunnel and set the wind speed to 90 mph. Record all 19 manometer height readings in your notebook.

Now turn the wind tunnel off and adjust the angle of attack to 4°. Then, turn the wind tunnel back on with the wind speed at 90 mph and record the manometer readings for each of the 19 pressure ports. Finally, repeat the measurement at 90 mph for an angle of attack of 8°. Like before, record all manometer readings.

Now let's take a look at how to analyze the data. First, determine the gage pressure for each of the manometer height readings using this relationship, where delta h is the height reading recorded in your notebook, rho L is the density of the oil, and g is gravitational acceleration. Next, calculate the non-dimensional pressure coefficient, Cp, for each port on the airfoil.

The pressure coefficient is calculated as shown using the free-stream density, the free-stream velocity and the gage pressure. Let's plot the negative pressure coefficient versus the port coordinate. First, for an angle of attack equal to zero, we plot negative Cp instead of positive Cp on the y-axis in order for the plot to be more visually intuitive. Thus, the top trace conveys the negative pressures on the upper surface of the airfoil, and the bottom trace conveys the positive pressures on the lower surface.

From the plot, we can see that the pressure changes drastically right after the leading edge. The pressure reaches its minimum value around 5 to 15% chord after the leading edge. As a result, about half of the lift is generated in the first 1/4 chord region of the airfoil. Looking at all three angles of attack, we observe a similar pressure change after the leading edge.

Additionally, in all three cases, the upper surface contributes more lift than the lower surface. As a result, it is critical to maintain a clean and rigid surface on the top of the wing. This is why most airplanes are cleared of any objects on the top of the wing.

Before stall occurs, increasing the angle of attack results in higher pressure differences between the bottom and top surfaces of the airfoil, thus generating higher lift. We can calculate the lift coefficient for each angle of attack using the relationship shown here. The lift coefficient relates the generated lift to the pressure distribution on the airfoil and as expected is higher for higher angles of attack.

In summary, we learned how pressure differences along an airfoil generate lift in an aircraft. We then measured the pressure distribution along the surface of a Clark Y-14 airfoil subjected to airflow at various angles of attack and calculated the lift coefficients.