The flute is one of those instruments that has a polar pattern with character. Two close miking techniques for the flute are quite common:

1. Approx. 5-10 cm away from the instrument, aiming half way the mouth piece and the left hand. Breathing can be a problem in this position so an omni such as 4006A or compact omni 4006C may be an advantage.

2. Due to its polar character the flute can also be miked behind and slightly above the head of the player, pointing at the finger holes. In fact in an overdub situation a myriad of places around the head yield very good balance.

In this case a cardioid mic such as 4011A or compact cardioid 4011C is recommended. In another overdub situation you can try miking the flute from the front with a vertical elevation at head level and about a meter away, this really reduces the mechanical sounds.

For live use, the head worn microphone 4066 is a great choice. This gives a fixed position, even when the musician moves around on stage.

- for saxohpone

mic further away if you want to pick up natural ambiance
For close miking the microphone is often placed about 6 inches in front of the bell. This can be a problem as the lower (bell) notes will probably be disproportionately loud. A solution is to place the microphone slightly to one side or else to use one or more other microphones further up the instrument. Cardioid (directional) mics may exhibit the proximity effect if place close to the source, this results in a boost in the low frequencies, which may be compensated for by equalisation (EQ- tone adjustment)

too put the microphone the same distance away from the front of the instrument as the length of the instrument.

The polar pattern of the mic can have a bearing on the above. Generally speaking an omni or figure of 8 microphone will pick up more of the room ambience or spill from other instruments compared with the direct sound. An omni or figure of eight microphone may have a more natural sound than a cardioid, but will usually need to be a bit closer to the source in order to eliminate the same amount of unwanted (off axis) sound that a cardioid would do.
ood results from AKG 451, 414.

http://mediamusicforum.com/recording-saxophones.html