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# «Mountain Flying by K. Truemper Acknowledgment: We thank Darrel Watson very much. He reviewed a ﬁrst draft and suggested a number of improvements. ...»

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Mountain Flying

by K. Truemper

Acknowledgment: We thank Darrel Watson very much. He reviewed a ﬁrst draft and

suggested a number of improvements.

Each time I plan a ﬂight to the Rocky Mountains and beyond, I think “Now, what

are the important things to consider when ﬂying into mountainous areas?” and then,

“Wouldn’t it be nice if I had a summary of those things for review!” So, here is an attempt

at such a summary. It is based on many sources: ﬂight instructors, fellow pilots, various publications such as Sport Aviation and AOPA Pilot, and, last but not least, Nature, which has had an impressive way of teaching me lessons.

The discussion below introduces some formulas that I have found useful. If you hate mathematics and formulas, just ignore that stuﬀ. For me, doing these computations while ﬂying is a way to stay alert and to have something to talk about with my copilot.

1. Takeoﬀ

1.1 Density Altitude We must know the density altitude to estimate the minimum runway length required for takeoﬀ. An approximate formula for density altitude is D = A + (T/20) + (A/4) - 3 where D = density altitude in 1,000 ft A = altitude in 1,000 ft MSL T = temperature in deg F For example, if A = 6 (= 6,000 ft) and T = 80 (= 80 deg F), then D = 6 + (80/20) + (6/4) - 3 = 8.5 (= 8,500 ft).

A more precise formula would use the pressure altitude P instead of A. To compute P, we subtract from A 1,000 ft for each inch of pressure setting above 29.92, and add to A 1,000 ft for each inch below 29.92. This correction is rarely needed, though, since the pressure setting typically lies in the interval 29.6-30.2 in., and P and A diﬀer then by less than 300 ft.

A deceptively low density altitude occurs sometimes in the summer before sunrise.

Due to radiation cooling of a clear night, the surface air is cool, but from 500 ft AGL on up the air is still hot. This phenomenon is typical for the southern Rockies, but may occur as far north as Montana. I have seen 60 deg F at the surface and 95 deg F at 500 ft AGL.

In such a case, the high density altitude from 500 ft AGL on up signiﬁcantly reduces the climb performance of the airplane right after takeoﬀ.

1.2 Leaning of Mixture If the plane has a carburetor without automatic altitude compensation, leaning of the mixture for maximum engine output is essential when the density altitude exceeds 5,000 ft. Just before takeoﬀ, we go to full power while holding the plane with the brakes, adjust the mixture until maximum rpm is obtained, then release the brakes and begin the takeoﬀ run. Below 5,000 ft density altitude, leaning is not needed, and is even dangerous, since the engine may overheat during the climb out. As an aside, leaning should be done en route below 5,000 ft density altitude whenever the power setting is 75% or less, and should always be used above 5,000 ft density altitude regardless of power setting. The leaning is done so that the engine is smooth and gives maximum rpm for the given throttle position, and so that any additional leaning would disturb that performance.

1.3 Sudden Weather Changes in the Morning A sunrise with a clear sky and with unrestricted visibility usually promises perfect VFR conditions for the morning ﬂight. Usually—but not always. Indeed, rapid fog development and cloud formation shortly after sunrise may within 30 minutes turn that scenario into IFR IMC. The spread between the air temperature and the dew point plus the surface winds are the best predictors for this potentially dangerous development. Any spread less than 5 deg F at sunrise combined with surface winds below 5 kts is cause for concern.

When the spread is 1 or 2 deg F, then the problem is almost certain to occur. On the other hand, when the spread between the air temperature and the dew point is more than 3 deg F and surface winds exceed 5 kts, fog should not be a problem. However, in that scenario clouds may still form rapidly unless the spread exceeds 5 deg F.

The solution to the problem is simple. We do not take oﬀ at sunrise when a potentially troublesome situation is at hand, and instead monitor how things develop. If clouds and fog do not set in for an hour while the air temperature rises and the spread increases, the weather apparently is stable, and a takeoﬀ is justiﬁed. On the other hand, if low areas develop fog or if mountain ridges begin to spawn cloud cover, we stay on the ground until stable VFR conditions return.

2. En Route Flying

2.1 Ceiling of Plane The legal limit for ﬂight without oxygen or pressurization is 12,500 ft MSL. That limit may be exceeded up to 14,000 ft MSL for up to 30 min. Naively, we may therefore conclude that a plane with a published ceiling of 14,000 ft can take advantage of these limits. But this is not so. First, a plane’s ceiling is the density altitude where the climb rate at full power begins to fall below 100 ft/min. This is a very low climb rate. A better ﬁgure for the ceiling is the published ceiling minus 1,000 ft. So, a ceiling of 14,000 ft has become 13,000 ft. Suppose we ﬂy eastbound, where we must elect odd-thousand-plus-500 ft as MSL altitude. Say we choose 11,500 ft MSL. If the temperature at that altitude is 50 deg F, a typical value for the Rockies in the summer, then the density altitude is D = 11.5 + (50/20) + (11.5/4) - 3 = 13.9 (= 13,900 ft), which is above the 13,000 ft the plane can reasonably reach. Hence, we are forced to the next lower altitude, 9,500 ft MSL, which is too low for many regions of the Rockies. This example shows that a plane with published 14,000 ft ceiling is unsuitable for ﬂight in the Rockies in the summer. On the other hand, a bit of calculations shows that a plane with a published 17,000 ft ceiling manages to reach altitudes up to 13,500 ft MSL in the Rockies in the summer, within reasonable time, unless temperatures are unusually high.

A normally aspirated piston engine loses power by about 3.5% for every 1,000 ft of density altitude. The formula below expresses this relationship.

–  –  –

where D = density altitude in 1,000 ft PD = maximum power output in hp at density altitude D P = maximum power output in hp at sea level For example, if D = 12 (= 12,000 ft) and P = 100 (= 100 hp), then PD = [1 hp).

If the propeller is not in-ﬂight adjustable, the maximum engine output at altitude may no longer be suﬃcient to maintain cruise rpm. When that happens, the output is reduced below PD of the formula. To compute engine output for the reduced rpm, we apply the above formula for PD using as P the maximum output of the engine for the reduced rpm at sea level. For example, Rotax publishes 76 hp for the 912UL engine as maximum continuous output at 5,400 rpm, and 64 hp as maximum output at 4,400 rpm.

Suppose at 14,500 ft density altitude the maximum rpm with full throttle is held to 4,400 rpm due to the propeller pitch. Using P = 64 and D = 14.5, the output for that density altitude and rpm is PD = [1 - (0.035)(14.5)]64 = 31.5 hp. On the other hand, if the propeller is repitched so that the engine can turn 5,400 rpm at the same density altitude, then P = 76 and PD = [1 - (0.035)(14.5)]76 = 37.4 hp, an increase of 19%. That increase could be realized if the propeller was in-ﬂight adjustable. Hence, such a propeller can be advantageous even if the engine is normally aspirated.

2.2 Turbulence An important predictor of severe turbulence is the wind aloft just above the mountains.

When that wind exceeds 25 kts, ﬂying can be extremely dangerous since turbulence may invert the plane. If such winds are approximately (= plus or minus 30 deg) perpendicular to mountain ridges, then they produce mountain wave conditions and turbulence up to 100 miles downwind from the mountains. Hence, if winds above 25 kts are forecast, we should not ﬂy near mountains, and if we are downwind from mountains, we should not approach them.

Another predictor of turbulence is the temperature lapse rate, measured in deg F/1,000 ft of altitude change. A lapse rate below 4 deg F/1,000 ft signals stable air. When the lapse rate rises beyond 4 deg F/1,000 ft, turbulence can be expected. The severity depends on how far the lapse rate is above 4 deg F/1,000 ft. For example, a rate of 6 deg F/1,000 ft is associated with strong turbulence. We can anticipate potentially troublesome situations by computing the lapse rate as we climb. The formula for the lapse rate is

–  –  –

where L = lapse rate in deg F/1,000 ft A = altitude in 1,000 ft MSL G = ground elevation in 1,000 ft MSL TA = temperature at altitude A in deg F TG = temperature at ground elevation in deg F For example, if A = 9.5 (= 9,500 ft), G = 4.5 (= 4,500 ft), TA = 70 (= 70 deg F), and TG = 100 (= 100 deg F), then L = [100 - 70]/[9.5 - 4.5] = 6, and severe turbulence is present.

The turbulence induced by the lapse rate stops at the base of clouds. Hence, if cumulus clouds are suﬃciently low and widely spaced to permit safe VFR above the clouds, we can elect that option for a much smoother ﬂight. We must exercise caution, though. Cumulus clouds in mountainous areas may within minutes grow to a solid cover, so when ﬂying above such clouds we should continuously monitor the situation and be prepared for a rapid descent below clouds that are closing up.

Certain cloud formations are telltale signs of strong turbulence. A rotor cloud, which is a small, round cloud downwind of and slightly higher than a mountain ridge or peak, indicates severe turbulence and must be avoided at all times. Lenticular clouds, which have the shape of a lens, by themselves indicate smooth airﬂow at the altitude of the clouds, but signal strong turbulence below them. Fuzzy, streaky, torn clouds above a ridge are a third indicator of severe turbulence. Cumulus clouds with veils below that do not extend to the ground send yet another message of strong turbulence. The veil is called virga and is rain that evaporates before reaching the ground. Virga clouds can turn into thunderstorms within minutes, so we should monitor them continuously.

Thunderstorms in mountainous terrain can be very violent. They typically produce extensive lightning, strong downpours, severe turbulence, and often hail. A respectful distance of at least 20, and preferably 30, miles should be kept.

A ﬂight started early in the morning usually begins with a smooth ride. As the air warms and winds increase, turbulence sets in. Around noon, the turbulence typically has become so strong that the ﬂight should be terminated. For the latest, we should stop at 1 pm. There are exceptions where the air is still smooth after 1 pm and where ﬂying is still safe. But we should carefully consider winds, terrain, and weather before claiming that this unusual case is hand. If we miscalculate, then in the best of cases we have an uncomfortable ﬂight. In the worst of cases, passengers toss their cookies, the ﬂight becomes almost uncontrollable, and possibly metal is bent in an unintended termination.

2.3 Winds When air moves up due to sloping terrain, say toward a mountain ridge, the air remains mostly smooth and provides an updraft. However, on the lee side of the ridge, the air becomes a turbulent downdraft with a rate of descent that may exceed the maximum climb rate of the plane. When planning the route, we should therefore take both the direction of the winds aloft and the terrain into account. If the route can be planned along the upwind side of a ridge, then the ﬂight is smooth, and the updraft provides extra energy that can be converted into added speed. On the other hand, if the route by necessity is on the lee side of a mountain or ridge, we must ﬂy at least 2,000 ft above the highest point of the terrain to avoid strong down drafts and turbulence.

We should never approach a mountain ridge at a right angle. If turbulence is encountered and we must turn back, then in the ﬁrst part of the turn we get even closer to the ridge and thus into more severe turbulence, and possibly begin unplanned inverted ﬂight.

This dangerous scenario can be avoided by approaching the ridge at a shallow angle not exceeding 45 deg. If turbulence is encountered, we can turn away from the ridge without ﬁrst getting closer.

We should avoid ﬂight in valleys since by deﬁnition this moves us well below the surrounding mountain ridges. But sometimes that is not an option. For example, we may have to enter a valley to approach an airport. In that case, we should always stay near the mountain ridge that forces the wind up, and should avoid the center of the valley as well as the ridge with the downdraft. It is clear why we should avoid the ridge with the downdraft, but why should we shun the center of the valley as well? If we ﬂy there, we do not have a good look at the valley below for emergency landing sites, and we may have diﬃculty turning if unexpected turbulence forces us to do so.

2.4 Restricted Areas and Military Operations Areas (MOAs) Restricted areas are oﬀ-limit for general aviation, and we must stay clear of them at all times. In recent years, restricted areas have moved or changed shape, and a GPS radio with last year’s or older database does not reliably indicate the current restricted areas. Hence, unless the database contains the most recent information, we can only use the sectional to identify and avoid restricted areas. A recent development are small, round restricted areas of 5-10 miles diameter. They contain tethered balloons. Entering such an area is likely to terminate the ﬂight by collision with the balloon cable.

MOAs legally pose no restriction for general aviation. But when an MOA is “hot,” that is, in use, we assume a great risk when entering it. The sectionals have rather imprecise information about MOAs, since they typically specify sunrise to sunset for certain days of the week as possible times of use. During those speciﬁed times the MOA may or may not be hot. We just cannot tell which is the case from the sectional. But we can get precise information from the nearest FSS.

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