6:13 PM
Hi kevin. The question is built on the wrong premises that the Concorde lacks aerodynamic pitch control, and that fuel transfer is used for short term pitch/trim control. It's the flight engineer that handles the fuel transfer, and it's a long term thing and not hazardous. The MD-11 and 747-400 also employ CG control via fuel transfer.
Those two issues have been covered in the current answer. The biggest issue I see is that you infer that a horizontal stabilizer is needed for a delta wing, and the designers decided to remove it, that's not the case. Delta wings don't need horizontal stabilizer except when high maneuverability is needed like the MiG-21.
2 hours later…
8:08 PM
@ymb1 the question is not built on the wrong premise: it never states that fuel transfer is used for pitch control. It states that fuel transfer is used for trim control. The problem with the current answer is that it does not explain why the designers made that choice, it merely restates the fact that pitch control is achieved by elevons.
you say the designers must have concluded a H/S is not needed -- if you rephrase the question to how does the Concorde control its pitch, it'll be the same answer (elevons) -- with no mention of fuel transfer (trim CG is a long term cruise thing, also has to do with the lift shifting position aft as the plane goes supersonic), see here: aviation.stackexchange.com/a/36698/14897
8:55 PM
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