Understanding Flight

David Anderson and Scott Snider

Air Pressure

Air Pressure

Pressure is a force on a surface. Our interest here is air pressure rather than pressure in other fluids. Air pressure puts a force on a surface perpendicular to that surface, and the units of measure are force per unit area. A typical unit of pressure in the US is pounds per square inch. Believe it or not, the pound is a unit of force, not of mass. That is why the thrust of a rocket is given in pounds.

Air pressure is caused by the air molecules striking the surface. There are only two ways that an air molecule can interact with a surface: producing a force perpendicular, which is pressure, and sliding along the surface, which is friction. The pressure at the surface of the Earth is 14.7 pounds per square in (lb/in2). That doesn’t have much meaning to us. How about the pressure is 1 ton per square foot? Under that dreadful pressure, why aren’t we crushed? It is because we have the same pressure inside. The fish at the bottom of the Mariana Trench, the deepest spot in the ocean (35,000 feet), are under a pressure of over 1000 tons/ per square foot, or 6 tons/square in. Just like the fish in the deep don’t sense how heavy water is, we are pretty ignorant of the weight of air. A cubic yard of air weighs about 2 pounds.

There are two useful measurements of air pressure: Absolute and gauge pressure. Atmospheric pressure is absolute pressure, which measures the pressure against a vacuum. On the other hand, gauge pressure is the most common and is measured against the surrounding air pressure. A tire is a good example. If one fills the tire to 30 psi at sea level, the absolute pressure in the tire is 44.7 psi (30 +14.7) and the gauge pressure is 30 psi. Drive the car to 6,500 feet, where the pressure is 3 psi less, and the absolute pressure will still be 44.7 psi, and the gauge pressure will be 33 psi.

A third measure of pressure is differential pressure. It is a measure of the difference between two pressures. Gauge pressure is a differential pressure. Also, the lift on a wing is determined by the differential pressure across the wing.

Although air pressure is a simple concept, the way it is often presented in flight is very confusing. Air pressure is just the force placed on an object by the striking of air molecules. Air can only put pressure on an object. The lower pressure on top of an airplane wing does not “suck” the wing up. It reduces the force on top of the wing so the pressure on the bottom can lift the wing. When a can is collapsed by drawing the air out, it is being crushed by the outside ambient pressure.

There are three pressures associated with flowing air. The first we will discuss is static pressure, Pstatic. This is what is meant when people refer to “air pressure”. It is the pressure one would measure in a building or riding in a hot-air balloon.

The second is dynamic pressure, Pdynamic. This is not technically a pressure but has the dimensions of pressure. It is due to the motions of the air. It cannot be measured directly. When you stand in a strong wind, the side the wind is striking is the sum of the Pstatic and the Pdynamic. Your downwind side feels only the Pstatic pressure. So, the force that is trying to push you over is due to the Pdynamic.

Take, as an example, a large mass of air moving at 35 mph across the ground. If one were to ride in a hot-air balloon, the balloon would become part of the mass and move with it. The air around the balloon would appear still, and one would be experiencing the static pressure of the air mass. A person walking against the wind on the ground would have a very different experience. The person would experience static pressure that is the same whether the air is moving or not, but also the force of the dynamic pressure, making walking difficult.

When a high-speed jet of air (or water) comes out of a nozzle, its static pressure adapts to the static pressure of the surroundings, but the dynamic pressure remains the same.

The third pressure is total pressure, Ptotal, is the sum of the Pstatic and the Pdynamic. It is the Ptotal on your windward side in the strong wing. These three forces are used to measure the “indicated airspeed” of an airplane with a Pitot tube.

The Pitot Tube

The airplane’s instrumentation measures the indicated airspeed by exposing two ports to the airflow. The first is the static port on the side of the fuselage. See Figure 1. The static port measures the Pstatic independent of the speed of the airplane. This port is also used to measure the altitude and to provide air pressure to other instruments. The static port is usually on the side of the airplane fuselage near the front, though it is also occasionally placed on the side of the Pitot tube itself.

Pitot Tube Schematic
Figure 1 - Pitot Tube Schematic
Pitot Tube Example
Figure 2 - Pitot Tube Example

The Pitot tube faces directly into the air flow as shown in Figure 2. This measures the Ptotal. As shown in Figure 1, both the static port and the Pitot tube are connected to a differential pressure gauge. That means the Pstatic is subtracted from the Ptotal, yielding the Pdynamic, which is related to the speed of the air. The differential pressure gauge measures the difference between these two ports and is calibrated in speed. This is the airspeed indicator. The “indicated airspeed” must be corrected for air density and temperature to give “true airspeed”.