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Performance & Navigation 2.

Changes to IAS/Mach No./TAS
in climb and descent phases.

General

As stated in part 1, jet aircraft have a particular climb schedule that specifies the climb IAS/Mach number.

ATPL Performance or Navigation examinations may ask you about the effects of climbing at a fixed Mach number, or IAS. This editorial is designed to provide guidance on this matter..

Climbs

During the initial part of the climb, the crew will fly the aircraft referenced to a fixed IAS. This causes TAS and Mach number to increase as altitude is gained. (refer table 1). When "Changeover Level" is reached, the flight crew will thereafter climb the aircraft referenced to a fixed Mach number until TopC is reached.

Climbing at a fixed Mach number will cause TAS and IAS values to decrease. The TAS decreases because the aircraft is climbing into ever colder air. The Speed of Sound (SoS) varies according to air temperature, such that it is slower in cold air and faster in warm air. When climbing at a fixed Mach number we are are flying at a certain percentage of the speed of sound. Because the SoS is decreasing with altitude gained, so TAS will decrease also.

For instance, the speed of sound at sea level in ISA conditions (15C) is 662 kt. The speed of sound at FL330 in ISA conditions (-51C) is 581 kt. If we were flying at FL330 Mach 0.70 (ie: 70% of the SoS), we would have a TAS of 407 kt. (refer table 2).

The TAS will not vary as the aircraft climbs through the Tropopause because the temperature, and hence SoS remains constant in that region.

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SoS is slower in cold air, faster in warm air.

finger.jpg (1618 bytes) Climbing at a fixed IAS, Mach number and TAS increase.
finger.jpg (1618 bytes) Climbing at a fixed Mach number, IAS and TAS decrease.
finger.jpg (1618 bytes) The Speed of Sound is constant in the Tropopause.

Table 1. Climbing at fixed 250 kt IAS.            

Table 2. Climbing at fixed Mach 0.70.

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The initial climb to Changeover Level is at a constant IAS.
This  produces an increase in TAS up to Changeover Level.

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The climb above Changeover Level is at a constant Mach No.
This produces an decrease in TAS above Changeover Level.

 

Descents

On descent, jet aircraft have a particular speed schedule that calls for an initial descent at a fixed Mach number. The IAS and TAS will be increasing during this time. When the descent scheduled IAS value is reached at descent Changeover Level the flight crew will thereafter descend the aircraft at a fixed IAS value. This causes the Mach number  and the TAS to decrease. It is the exact reverse of the climb situation.

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Descending at a fixed Mach number causes IAS and TAS increase.

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Descending at a fixed IAS causes Mach No. and TAS decrease.

Climb Summary

Descent Summary

This and other "Airspeed" topics are covered in greater detail in a publication called "Airspeed/Altimetry/ETP/PNR," which is available from most pilot supply shops, or from the"SHOP" portion of this website.
I hope this mini editorial is helpful to you. A third training editorial in this airspeed series will be released very soon.
It will cover the effects on TAS/Mach number/IAS values with changing temperature while in the cruise. See you then !

Best regards
Rob Avery

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