# How does contrail formation differ from turbofan to turbojet?

Air forces and intelligence agencies are indeed interested in predicting whether condensation trails (contrails) will be visible or not during aircraft operations.

Photo: C-CYOW at Photobucket

Among existing prediction algorithms, Appleman's method, devised in 1953, is frequently cited, even if more accurate or refined algorithms exist, like JETRAX.

From Predicting Contrails Using an Appleman Chart (Nasa), the principle is based on air saturation characteristics:

At first, scientists were not sure how contrails formed. We now know that they are a type of mixing cloud, similar to the cloud that sometimes forms from your breath during a cold winter day.

Appleman showed that when the air outside of the airplane is cold enough and moist enough, the mixture of the jet exhaust and the air would form a cloud.

Appleman chart, with a different layout

Since 1953, civil turbofans have replaced turbojets, with various air bypass ratios. What is the effect of this replacement on the occurrence of contrails?

• Does turbofan reduce or increase contrail occurrence?
• Does bypass ratio play a role?
• It might be interesting adding piston-powered airplanes into the mix too since they did leave quite a bit of contrails in WWII. – SMS von der Tann Sep 24 '16 at 13:58
• PSA: add -chemtrail to your Google search, it's sad how many of those popup. – ymb1 Sep 24 '16 at 14:14
• @SMSvonderTann: I didin't think about that when posting, but I suspect at this time the exhaust plumes contained many visible particles, that may make the answers more complex. What about a different question? – mins Sep 24 '16 at 17:27

It appears that the higher bypass engines available today increase the contrail occurrence. From Influence of propulsion efficiency on contrail formation by Ulrich Schumann:

The thermodynamic analysis, which is the result of first-principle arguments, implies that aircraft and engines, performing with a higher overall propulsion efficiency release a smaller fraction of the combustion heat during cruise into the exhaust plume, and hence cause plume conditions which during mixing reach higher relative humidity for the same ambient temperature and hence form contrails also at higher ambient temperatures.

Hence aircraft will form contrails more frequently when using more fuel efficient engines.

TO test the theory, a flight test was conducted between two aircraft with low and high bypass engines:

For a direct test of the theory, a formation flight of two different large jet aircraft was arranged, wing by wing, during an ascent and a descent f the aircraft. Contrail formation and ambient conditions were observed simultaneously from a research aircraft.

The two contrail forming aircraft were

(i) a Boeing B707 equipped with four jet engines of type JT3D-3B with bypass-ratio of 1.4 and

(ii) an Airbus A340-300 with four jet engines of type CFM56-5C4 with bypass-ratio of 6.8.

The results indicated that contrails were formed in more instances in case of the A340 (with higher bypass engines) compared to the B707.

Photo of an A340 with contrail and B707 without one. Image from Influence of propulsion efficiency on contrail formation by Ulrich Schumann

Ambient conditions were measured and the contrail formation was observed from a research aircraft flying less than 1 km behind the two contrail forming aircraft. As documented in several photos, an altitude range exists in which the A340 causes contrails while the B707 causes none.

Though the sample size is pretty small, it does appear that the high bypass engines used in modern commercial aircraft are more prone to contrail formation compared to the older turbojets.

• @mins Contrails are formed when the warm, unsaturated engine exhaust mixes with the cold ambient air. The important thing here is the ratio of moisture to heat added to the wake. This is the critical factor,that decides when contrail is formed. – aeroalias Sep 24 '16 at 16:46

This 1993 study—New Techniques for Contrail Forecasting—looked into the different bypass ratios. The study shows graphs for each bypass type that was tested. Here are two of them, low- and high-bypass:

It seems the high-bypass contrails form at warmer temperatures, and a wider range. It makes sense, the high-bypass will encapsulate the exhaust, giving it more time to condense before dispersing, plus cooling it. Further saturating the air with moisture.

We can compare the 777, 747, and 707 jet engines:

Engine         Thrust     SFC           Fuel Flow    Bypass Ratio
(lbf)      (lb/lbf hr)   (lb/hr)

GE90-85B       84,700     0.324         27.4K        8.40
CF6-80C2B1F    57,160     0.316         18.0K        5.15
JT3C-6         11,200     0.775         8.7K         0


A 777 burns more fuel per unit time per engine compared to a 747, same for a 747 compared to a 707.

So, it's the mixing effect plus more fuel used, i.e. the higher fuel burn of a high-bypass equals more moisture that will saturate the air, assisted by the bypass cooling.

From the comments below (thanks to Peter Kämpf), there might be one more factor worth mentioning, soot. Modern engines probably eject much finer soot particles, which would act like condensation nuclei.

The main products of hydrocarbon fuel combustion are carbon dioxide and water vapor. At high altitudes this water vapor emerges into a cold environment, and the local increase in water vapor can raise the relative humidity of the air past saturation point. The vapor then condenses into tiny water droplets which freeze if the temperature is low enough.—Wikipedia

The findings should give military operators better predictions for contrail formation.

• Would'd the amount of soot produced by the incomplete fuel burn be a major driver? Soot production could be greatly reduced in the 1960s, just when high-bypass engines were introduced. – Peter Kämpf Sep 25 '16 at 10:39
• Yes, you need condensation nuclei for vapor to turn into droplets, and the old combustors were great at supplying those. Smokeless combustors should be better for contrail suppression. The older engines did not burn fuel more properly, on the contrary. – Peter Kämpf Sep 25 '16 at 15:12
• No, without something non-gaseous you only get super-saturated air but no liquid-phase water. From Wikipedia: Supersaturation of water is actually very common in the upper troposphere, occurring between 20% and 40% of the time. – Peter Kämpf Sep 25 '16 at 15:22
• That was no riddle: Without something to start condensation, gaseous moisture all by itself cannot produce contrails. Adding solid particles like soot helps immensely to get the whole thing started, once there is enough water vapor around. And older engines produced much more soot than the newer, high-bypass ones. – Peter Kämpf Sep 26 '16 at 5:09
• That is exactly what surprises me. Maybe the soot of old engines consisted of fewer, larger particles and the soot of newer designs is less visible because of the smaller particle size. Don't the studies have nothing to say about the condensation process? – Peter Kämpf Sep 26 '16 at 19:21