Re:Drop the Supersonic Aircraft Ban
by Gravityloss on Monday June 13, 2016 @03:38PM
(#11896759)
As lift is also proportional to density, area and square of velocity, that whole term cancels out from the equation of fuel usage per distance, basically only L/D or cL/cD matters.
In practice it might be a bit more complicated.
EDIT: indeed here we can see that Concorde had lift to drag ratio of only 7.5 at Mach 2, while Boeing 747 has 17.7 at Mach 0.9 or so. https://en.wikipedia.org/wiki/Lift-to-drag_ratio
But you should also factor in their comparative passenger capacities (e.g. impact per passenger-mile).
Re:Drop the Supersonic Aircraft Ban
by Gravityloss on Monday June 13, 2016 @06:06PM
(#11898113)
Perhaps better would be aircraft weight to number of passengers ratio.
Revenue wise the supersonic airliner flies faster, meaning you get more seat miles per day per seat.
That's true, but supersonic planes also travel higher (Concorde -> 18 km, XB-70 -> 22 km). The real problem is that L/D decreases at supersonic speeds. For example, the XB-70 had a L/D of about 7, while the 707 had a L/D over 18...
force_of_drag = .5 * mass_density * (velocity^2) * coefficient_drag * area.
As that coefficient starts tapering off after transonic drag decreases velocity squared is there to ramp up the drag.