here is what my pilot friend sent back to me.
Hi Dave
Just to clear something up, it will never be to do with a Foehn wind. A Foehn wind is invariably a low level wind that travels down the Lea side of mountains. Moist air starts at sea level, travels along, hits a mountain, rises, and in doing so it will cool at the std lapse rate of 2deg per 1,000ft. Whilst cooling the air shrinks, this makes it more saturated, it keeps cooling until it reaches its Dew point (the temp at which it becomes 100% saturated), it then releases that moisture in the form of rain, then the wind continues to blow over the mountain and as it descends the other side it cools at the dry adiabatic lapse rate because its dumped all its moisture. This wind descends, warms and accelerates as it reaches the bottom of the mountain and can blow very hard indeed.
As for the vapour trail, there's a couple of variables, how much moisture is in the exhaust gas, and how cold it is. Again the temperate lapse rate in the std atmosphere is actually 1.98 deg per thousand feet. You will only see vapour trails if a) there's enough moisture content to saturate the air, and b) if its cold enough for that parcel of air to reach its Dew point.
Let's take 2 aircraft as an example in the same bit of sky, exhausting the same moisture content. For a given parcel of air to be saturated let's say the temp has to be -40. A plane flying at 36000ft might be flying in temps as low as - 40, whereas the other one flying at 34000ft might be in temps of -38, so 2 deg warmer. This 2 deg temp split is enough for the air to not be at its Dew point temperature. So the higher plane shows vapour trails, and the lower plane does not.
Two things from this..1) the Foehn wind has nothing to do with it, and 2) there is no way of telling just by looking up how high one aircraft is against another.
Hope this helps mate.
Dave.