Author Topic: corner velocity  (Read 1917 times)

Offline df54

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corner velocity
« on: August 28, 2007, 06:02:58 PM »
what is practical value of corner velocity if it cant be sustained.

Offline lengro

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Re: corner velocity
« Reply #1 on: August 28, 2007, 06:43:54 PM »
Quote
Originally posted by df54
what is practical value of corner velocity if it cant be sustained.


very quick change of direction?
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Offline TequilaChaser

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corner velocity
« Reply #2 on: August 28, 2007, 07:16:41 PM »
When people are refering to corner velocity or corner speed they are  most times wanting to know or looking for  the planes bested corner speed to where they can pull the best Instantaneous Turn

Instantaneous Turn / Instantaneous Turn Rate - where a plane pulls max G's (near 6 right before blackout if extremely fast) to turn quickly for a short period of time, turn rate varies with speed , usually bested at the corner speed/ corner velocity of a given aircraft. A turn that quickly expels speed and possibly alt, while an instantaneous turn is by definition unsustainable, most times to be no more than a 180 degree turn or change in direction. While usually bested at the corner speed of the given aircraft, this turn can be performed at higher or lower speeds with less benefit.


Note that sometimes when flying the G - Limit an inability to pull past 6 G's without blacking out will not let you obtain the best Corner Speed, because of G-Force Limitations

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hope this helps
« Last Edit: August 28, 2007, 07:19:08 PM by TequilaChaser »
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Offline Agent360

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corner velocity
« Reply #3 on: August 28, 2007, 07:27:38 PM »
Some planes have the ability to sustain corner velocity at their min turn radius. Some do not. The "why" is a very complicated aerodynamic mathmatical answer.

There is a difference between "corner velocity" and "turn rate". Optimum turn rate is not always at corner velocity.

If we have two circles. One being twice as big as the other. The small circle is placed inside the bigger one on center.

#1 plane flies the arc of the small circle
#2 plane flies the arc of the bigger circle

#1 plane flying at corner speed in the small circle and #2 plane flying at a faster speed but following the bigger circle will both have equal turn rates but different corner velocities.

#2 plane may have a higher corner velocity but can travel faster around the arc than #1 plane.

Take a A6m vs a 109k4 for example. In this example the 109 can keep up in turn with the A6m but must take a larger turn radius to do so. The A6m will be flying slower and the 109 faster. The question becomes who burns E faster at this turn radius.

Another good use of corner velocity is in the initial merge of a dual. If you can turn your plane around...meaning you can get your nose pointed at the other guy firstl...this is an advantage. Here we are not sustaining corner velocity. We are using it to make a 180 turn "in less TIME".

TIME is the factor. It doesnt really matter what the turn radius is but how fast in TIME you can make the 180 turn. This can be done using either min radius or inversly a faster air speed at a larger turn radius.

The bottom line is the best "turning" plane does not always win the fight.

Corner velocity simply means the shortest turn radius at the maximum speed possible. So the absolute smallest turn radius possible in any givin plane can be changed depending on speed.

Offline Spatula

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Re: corner velocity
« Reply #4 on: August 28, 2007, 08:11:38 PM »
Quote
Originally posted by df54
what is practical value of corner velocity if it cant be sustained.


Corner velocity is not sustainable if the deceleration from drag and/or gravity on the aircraft from turning exceeds the acceleration of the aircraft due to engine power and/or gravity to compensate for that drag. In any turn there is an equilibrium point where the deceleration is matched by the acceleration and you will maintain a constant speed throughout the duration of the turn.

In a flat-turn you're fighting both the drag and gravity. In a nose-low or diving-turn you can use gravity to help accelerate your aircraft to help overcome the deceleration effects of drag and thus keep you close to your best corner velocity.

So to counter your question: it CAN be sustained for longer than you think if you use gravity to help you keep your speed near corner velocity. Obviously, there is a finite amount of space between you and the ground, so you can't do this forever. This is the basic principle of the low yo-yo or slice-back reversals etc.

The reverse is also true. If you have excess of speed over your corner velocity, you can use gravity to decelerate you closer to your corner velocity to achieve your best turn rate.
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Offline TequilaChaser

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corner velocity
« Reply #5 on: August 28, 2007, 10:07:51 PM »
There was a post in the Help & training Forum awhile back regarding "Bat Turn" or something of the like...the guy was optimizing his corner velocity/ &/or Instantaneous Turning ability in the F4U by doing a shallow nose low turn when reversing to his enemy...the trailing attacker could not see that his opponent actually turned .......

as for Spatula's using gravity to decelerate to bested corner speed, he was refering to using a hi yoyo or the vertical/nose high in easy to understand terms.  building E as in alt while slowing to bested Corner speed......

hope I typed that right....
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Offline Mace2004

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corner velocity
« Reply #6 on: August 31, 2007, 10:46:01 PM »
Quote
Originally posted by Agent360
Some planes have the ability to sustain corner velocity at their min turn radius. Some do not. The "why" is a very complicated aerodynamic mathmatical answer.

There is a difference between "corner velocity" and "turn rate". Optimum turn rate is not always at corner velocity.

If we have two circles. One being twice as big as the other. The small circle is placed inside the bigger one on center.

#1 plane flies the arc of the small circle
#2 plane flies the arc of the bigger circle

#1 plane flying at corner speed in the small circle and #2 plane flying at a faster speed but following the bigger circle will both have equal turn rates but different corner velocities.

#2 plane may have a higher corner velocity but can travel faster around the arc than #1 plane.

Take a A6m vs a 109k4 for example. In this example the 109 can keep up in turn with the A6m but must take a larger turn radius to do so. The A6m will be flying slower and the 109 faster. The question becomes who burns E faster at this turn radius.

Another good use of corner velocity is in the initial merge of a dual. If you can turn your plane around...meaning you can get your nose pointed at the other guy firstl...this is an advantage. Here we are not sustaining corner velocity. We are using it to make a 180 turn "in less TIME".

TIME is the factor. It doesnt really matter what the turn radius is but how fast in TIME you can make the 180 turn. This can be done using either min radius or inversly a faster air speed at a larger turn radius.

The bottom line is the best "turning" plane does not always win the fight.

Corner velocity simply means the shortest turn radius at the maximum speed possible. So the absolute smallest turn radius possible in any givin plane can be changed depending on speed.


Let's clairify this.  Corner velocity (i.e., corner speed, or maneuvering speed) is the minimum speed an aircraft must have in order to pull to its structural G-limit.  In other words, flying at corner velocity gives you the ability to obtain your maximum load factor (G) at the lowest speed.  Corner velocity varies according to altitude and aircraft weight.

Both the minimum turn radius and maximum turn rate that the airplane is capable of producing are always at corner velocity.  Slower than corner you can't pull maximum G's (the airplane will stall first) and G's are what turn an airplane (i.e., G generates turn rate).  Faster than corner and you can still pull up to your G limit but you can't pull more because you're limited by blackout (and structural divergence).  Your excess speed works against you and significantly increases your turn radius.  

WWII airplanes (except the Me-163) cannot sustain a level turn at corner velocity, they just don't have the power to overcome the induced drag.  This brings us to your real question, what good is corner velocity if you can't sustain it?  

As Spatula mentioned, with WWII fighters you have to use gravity to offset drag and make your turns nose-low if you want to sustain your maximum performance turn for more than an instant.  Obviously, there are tactical and physical limits (the ground) to a constant nose-low turn.  Also as TC mentioned, the best use of corner with a WWII fighter is to reverse.   If you're faster than corner velocity do a nose-high oblique or vertical turn (depending on how much above corner you are) to convert your excess e to altitude and decelerate to corner to complete the turn.  If you're below or at corner do a nose low sliceing turn or even split-s and trade  altitude to gain or sustain energy in the turn.
« Last Edit: August 31, 2007, 10:52:01 PM by Mace2004 »
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