Density height and its relationship with temperature, humidity and atmospheric pressure

Density height

A more appropriate term relating to aerodynamic performance under non-standard atmospheric conditions is the density height - the height under standard atmospheric conditions corresponding to a particular air density.

The density height is the pressure height corrected by a non-standard temperature. As the density of air increases (lower density height), aircraft performance increases, and conversely, as air density decreases (higher density height), air performance decreases. A decrease in air density means a high density height; an increase in air density means a lower density height. Density height is used to calculate performance. Under standard atmospheric conditions, the air at each level of the atmosphere has a specific density, and under standard conditions, the height of the pressure and the height of the density are the same. Thus, the density height is the vertical distance of a given density location at sea level under standard atmospheric conditions.

The calculation of the density height must take into account the pressure (pressure height) and temperature. Since aircraft performance at any altitude is based on air density under standard daytime conditions, this performance data applied to the air density altitude may be inconsistent with the altimeter indication. These heights cannot be calculated directly from the altimeter above or below the standard.

The density height is first calculated from the first measured pressure height and then corrected for non-standard temperature changes. Since the density varies directly with pressure and varies inversely with temperature, a given pressure height may be present over a wide range of temperatures when density is allowed to vary. However, a known density can occur at any temperature and pressure level. Of course, the density of the air has a significant impact on aircraft and engine performance. Regardless of the actual altitude at which the aircraft is operating, it will appear as if it were running at a height equal to the current density height.

For example, when set to 29.92, the altimeter may indicate a pressure height of 5000 feet. According to the Aircraft Flight Manual/Pilot Operating Manual, a ground run at take-off at standard temperature conditions may require a distance of 790 feet. However, if the temperature is 20 degrees Celsius above the standard, the expansion of the air increases the density height. Using the temperature correction data in a table or chart or using a computer to derive the density height, you may find that the density height is 7,000 feet and the required ground run distance may be close to 1000 feet.

Air density is affected by changes in height, temperature and humidity. High density height refers to lean air and low density height refers to dense air. Conditions that result in high density heights are high altitude, low atmospheric pressure, high temperature, high humidity, or some combination of these factors. Low altitude, high atmospheric pressure, low temperature and low humidity are more obvious signs of low density.

Using the flight calculator, the density height can be calculated by inputting the pressure height and the outside air temperature at the flight altitude. The density height can also be calculated by referring to the tables and charts in Figures 9-3 and 9-4.

The effect of pressure on density

Because air is a gas, it can be compressed or expanded. When the air is compressed, a certain volume can contain more mass of air. Conversely, when the pressure for a certain volume of air is reduced, the air expands and takes up more space. That is, the original air column contains less air at low pressures. In other words, the density is reduced. In fact, the density is directly proportional to the pressure. If the pressure doubles, the density doubles, and if the pressure drops, the density decreases. This conclusion is only established at constant temperature.

Effect of temperature on density

An increase in the temperature of a substance reduces its density. Conversely, lowering the temperature increases the density. Therefore, the air density and temperature change inversely. This conclusion is only established at constant temperature.

In the atmosphere, both temperature and pressure decrease with height and have an opposite effect on density. However, a significant rapid drop in pressure at height increases is usually the main impact. Therefore, the pilot can expect the density to decrease with height.

Effect of humidity (humidity) on density

The preceding paragraphs assume that the air is completely dry. In fact, it is never completely dry. A small amount of water vapor suspended in the atmosphere is almost negligible in some cases, but in other cases, humidity may become an important factor in aircraft performance. Water vapor is lighter than air; in turn, moist air is lighter than dry air. Therefore, as the moisture in the air increases, the density of the air decreases, the density increases, and the performance is lowered. When set under a set of conditions, air can be made lightest and it contains the most water vapor.

Humidity, also known as "relative humidity," refers to the amount of water vapor in the atmosphere, expressed as a percentage of the maximum amount of water vapor that air can contain. This content varies with temperature, warm air can contain more water vapor, and cold air contains less. The completely dry air does not contain water vapor, its relative humidity is 0%, while the saturated air can no longer absorb more water vapor, and its relative humidity is 100%. Separate humidity is not considered an important factor in calculating density height and aircraft performance; however, it does have an impact.

The higher the temperature, the more air it can contain. When comparing two separate air masses, the first one is warm and humid (both of which make the air lighter) and the second air mass is cold and dry (two properties make it heavier), The first air mass must have no second dense. Pressure, temperature and humidity have a large impact on aircraft performance as they have an impact on density. There are no simple rules or charts to calculate the effect of humidity on density height, so it can be considered that overall performance is expected to decrease under high humidity conditions.

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