Thread: Speed of Heat
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Old March 18th 05, 10:59 PM
David CL Francis
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On Tue, 15 Mar 2005 at 22:10:56 in message
R5QZd.71896$Tt.15712@fed1read05, BTIZ
wrote:
All of the others talk of temperature rise do to compressibility based on
mach number, but no one really addressed the speed accounting for friction
of air molecules on the sheet metal which warms the aircraft. War story
time, low level over the plains of eastern Montana, near Conrad and Havre
Bomb Plots (Radar Bomb Scoring sites) and the outside air temp was
about -15F, however, we were moving along at about .88mach at 500ft AGL, and
the skin temperature was about 100F, not a worry about accumulating icing.

Some one else referred to "Speed of heat" as being Mach 1, because most
aircraft need after-burner or "heat" (reheat) as the Brits would say.. to
make Mach1. BTDT

The stagnation temperature I recall is roughly given by the following:

Ts/T1 = (1 + (M^2)/5)

Where T1 is the absolute air temperature and Ts is the stagnation
temperature. So if the outside air temperature is -10C and the Mach
number is 0.5 then T1 = 263

Ts = 263*(1 + 0.25/5) = 263 *1.05 = +3.15 degrees

That is the _maximum_ temperature rise at the stagnation point.
Elsewhere it will be lower. The heat transfer through the ice and
aluminium and their thermal capacity will affect how long it takes.

The fact that it depends on the square of the mach number brings the
effect down markedly at lower speeds.
--
David CL Francis