

Lift will drop proportionally with density if you keep the airspeed and angle of attack constant (same coefficient of lift). In the actual atmosphere there are errors in both pressure and density because the profile is unknown. As with pressure calculations, the density altitude computation requires knowing the temperature profile of the atmosphere, and the ISA model is just that a model.

A plot of air density versus altitude on a standard day is shown in Figure 1. Just as the pressure drops (roughly) exponentially with altitude on a standard day, so too does the air density. This solution for air density on a standard day neglects the partial pressure of water vapor in the atmosphere, typically around 1 percent at sea level. Details of that solution are found in my web article, Barometric and Density Altitudes. You can also find the density of the atmosphere as elevation increases using the barometric equation, solving for n instead of p as a function of height, again using the ISA model for temperature. If this density altitude is not reported on the ATIS or automated weather how do you find it? In my last article in Flight Levels I explained how the atmospheric pressure changes with elevation, as determined by the solution to the barometric equation when the atmospheric temperature profile is given by the ISA model (International Standard Atmosphere).

It drops roughly exponentially with altitude (by half at 22,000 feet). Air density for the ISA model temperature profile. You can ask, at what altitude would I find air with this lower density on a standard atmosphere day? It would be higher up, at the density altitude of the airport.įigure 1. If a parcel of air at your airport is heated at constant pressure, the particle density (n) must drop, and therefore the mass density drops. So how does the density drop? The pressure of air is p = nkT, where k is the Boltzmann constant and T is the temperature of the air. Propeller thrust suffers in a similar way. Multiplying that by the lift coefficient and wing surface area gives the lift of the aircraft, so if the density drops so does lift. When air moves with velocity (v), the kinetic energy of one cubic centimeter of air is half the density times velocity squared. Our atmosphere is mainly nitrogen (78 percent) and oxygen (21 percent) molecules (N 2, O 2), with atomic masses of 28 and 32 respectively, so the average mass of these air molecules (m a) is 29 protons. Hopefully, instructors do a much better job now of explaining the theory and practice for the concept. After the flight he gave me a fairly cursory explanation of the concept. On the first takeoff of the day my instructor wanted to simulate a high-altitude takeoff, so he set the throttle at about two-thirds power and said, “Go, and don’t hit the fence at the end of the runway.” He also said this is what it might feel like if the density altitude was high. My introduction to density altitude was early in my private pilot training in an Ercoupe.
