How does adding flaps Change LD MAX?

Fly_Unity

Well-Known Member
So is there any situation when adding flaps increases best glide angle? How about an increase of Vy or Vx?

I just read an article that said Vx and Vy is ALWAYS best obtained with flaps up. If this is the case then why do some manufactures like obstacle clearance with flaps partially down?
 
I just read an article that said Vx and Vy is ALWAYS best obtained with flaps up. If this is the case then why do some manufactures like obstacle clearance with flaps partially down?

Probably because it'll get you off the ground faster
 
Vx is all about power. For a quick 'n dirty example look at the bottom of the Cessna line and what the POHs say about the use of flaps for short field takeoffs.

C150-none for best obstacle clearing performance

C172-10dg max (some older models say none)

C182- up to 20dg may be used and that's what the short takeoff numbers are based on.

Flaps add drag. More drag? Then more thrust needed. Look at it this way. Flaps lower your stall speed which translates to lower usable airspeeds for the climb out, provided you have the power to maintain. Lower airspeeds mean lower groundspeeds. Lower ground speeds for a given climb rate will increase your climb angle (ft/nm).

So flaps can increase your climb angle, provided you have the power to do so. What flaps don't do is increase your climb RATE.

Where was the article? I'd like to read it.
 
Vx is all about power. For a quick 'n dirty example look at the bottom of the Cessna line and what the POHs say about the use of flaps for short field takeoffs.

C150-none for best obstacle clearing performance

C172-10dg max (some older models say none)

C182- up to 20dg may be used and that's what the short takeoff numbers are based on.

Flaps add drag. More drag? Then more thrust needed. Look at it this way. Flaps lower your stall speed which translates to lower usable airspeeds for the climb out, provided you have the power to maintain. Lower airspeeds mean lower groundspeeds. Lower ground speeds for a given climb rate will increase your climb angle (ft/nm).

So flaps can increase your climb angle, provided you have the power to do so. What flaps don't do is increase your climb RATE.

Where was the article? I'd like to read it.

Here is the article that says Vx and Vy is always best achieved with flaps up....

http://www.experimentalaircraft.info/flight-planning/aircraft-climb-performance.php

S
o if you fly the published Vx number, the best angle will be with flaps up? However if you lower your Vx Speed with flaps down, this will translate to a lower groundspeed and therefore a higher climb angle in some aircraft. When a manufacture publishes Vx, is this based on flaps up? or is it based on the flaps setting used for short field takeoff?

What about best power off glide? Is this always achieved with flaps up? Does a wing with a large camber have a better glide ratio than a small camber. Adding flaps is the same as essentially increasing the camber. It seems as the gliders I seen have small cambers.
 
Gliders often have negative flaps to increase glide ratios (or decrease glide angle).

The primary benefit from flaps is to steepen the glide angle in most light aircraft, since they usually don't have spoilers. In some aircraft they have almost no effect on stall speed. (such as the Pawnee for example)
 
Here is the article that says Vx and Vy is always best achieved with flaps up....

http://www.experimentalaircraft.info/flight-planning/aircraft-climb-performance.php

S
o if you fly the published Vx number, the best angle will be with flaps up? However if you lower your Vx Speed with flaps down, this will translate to a lower groundspeed and therefore a higher climb angle in some aircraft. When a manufacture publishes Vx, is this based on flaps up? or is it based on the flaps setting used for short field takeoff?

What about best power off glide? Is this always achieved with flaps up? Does a wing with a large camber have a better glide ratio than a small camber. Adding flaps is the same as essentially increasing the camber. It seems as the gliders I seen have small cambers.


It's the whole problem of getting airborne....Sure, achieving Vx with flaps up looks good on paper, but what about all the transitions going on? Airplane from ground to sky, retracting flaps, etc... If you look at most POHs there is really no mention of Vx. Just a speed to lift off and a speed to climb and clear that 50 ft obstacle. The takeoff procedure to clear the obstacle will usually state the conditions and airplane configuration. You may not achieve your absolute best angle of climb with flaps, but the good outweighs the bad. Changing the shape of the wing while flying at high AOA is never a good idea when you're low on airpseed, low to the ground and trying to get over something. Leaving flaps in for takeoff to get airborne sooner, not retracting them during a critical phase of the climb over your obstacle will give you much better performance, provided you have the power available. Back to power.... there's a reason why C150s say no flaps for best obstacle clearance and older C172s say no flaps for obstacle clearance in high DAs.

In the article, the author is essentially correct, but application my vary. Knowing things like where the center of lift moves along the chord the wing of YOUR airplane when flaps are used. (Does the nose pitch up or down when you add flaps?). How your airplane performs with full flaps, partial flaps or flap retraction and AOA change? Stick pressures, trim settings, all this plays into how you handle the airplane on the edge of the performance envelope.

For best glide you want the airplane as clean as possible. Its about maximizing your forward speed with the least amount of altitude loss. There's a reason why Pitts has a glide ratio of 5:1, a B737 of 18:1, and a Grob 104 with more than 40:1. A high camber, flat bottom airfoil produces a lot of lift a lower speeds and give you a low sink-rate but the drag curve increases sharply as airspeed increases. This wont give you the best gliding performance. A semi-symmetrical airfoil will give you a higher sink rate but will give you more efficient glide angle. This airfoil design coupled with a high aspect ratio is what makes the high performance gliders do their thing. Think about it... When was the last time you saw a flat bottomed biplane glider with a 18 ft wingspan?
 
Gliders often have negative flaps to increase glide ratios (or decrease glide angle).

The primary benefit from flaps is to steepen the glide angle in most light aircraft, since they usually don't have spoilers. In some aircraft they have almost no effect on stall speed. (such as the Pawnee for example)

I believe it's called "reflex?"
 
Fly_Unity,

Flaps always decrease the maximum lift to drag ratio. This decrease is because flaps increase the coefficient of lift (which is good and would increase L/Dmax, if it were the only thing going on), but flaps also increase the coefficient of drag. The coefficient of drag, Cd is equal to Cd,0 (the coefficient of drag at zero lift... a measure of parasite drag) plus Cd,i (the coefficient of induced drag). Cd,i is proportional to coefficient of lift squared. So for any increase in lift due to flaps, the amount of drag increase will be the square of that.

One other thing happens to L/Dmax with flaps, though. The lift to drag ratio decreases, but the speed at which one obtains best L/D also decreases. So if clean L/Dmax was 15 and occurred at 100 knots, with flaps L/D max might be 10 or 11... but it maybe it occurs at 85 knots.

Therefore, there is never a case where adding flaps increases steady-state best glide angle. I have heard an argument that says that because of the decrease in the velocity required for best glide speed with flaps down versus flaps up, lowering flaps at the last minute when you are not sure if you going to make the runway can "stretch" the glide slightly... but only until you bleed off the difference in airspeed. If this effect is even true, I'm not sure that it makes enough of a difference to be worth using.

Of course, there is one other argument for lowering the flaps in a glide, which is that it reduces your overall speed (both best glide speed and stall speed decrease)... might be useful before your power off landing, especially if you are not going to make the runway! That way you hit at the slowest forward speed.


As for takeoff, and the Vx and Vy numbers, L/D max also can play a role in those. Best climb angle is achieved (in a jet or a prop) at the speed at which the amount of excess thrust is the highest. In a jet aircraft, thrust is relatively constant with airspeed, to the point where we usually treat it as a constant. In a prop, on the other hand, the thrust developed by the propellor drops off as speed increases. For either type of aircraft, climb angle is arcsin of (Thrust-Drag)/Weight. Since for jet aircraft, thrust is pretty much constant with airspeed, and we'll assume weight isn't changing fast enough to affect the math, that gives a best climb angle at the lowest value of total drag. The lowest total drag value occurs at L/D max for the given configuration.

As for flaps? Well, they INCREASE drag, right? So you get a worse climb angle with the flaps. But remember that affect about flaps lowering the L/Dmax speed and the stall speed? Well because those speeds are lower, you don't have to get as fast to achieve takeoff speed (defined as 1.3 times stall speed). Therefore, for a short runway, flaps are better for getting airborne sooner. For climb angle, no flaps are better.

What about prop airplanes? Well, it depends on the characteristics of the prop and the engine, but typically the best climb angle in a prop is slightly slower than L/D max, because of the increased thrust at lower speeds. Drag is higher, but so is thrust, and the thrust increases more than the drag.



Ok, on to climb rates: Rate of climb is just 101.3*Velocity*sine of climb angle. The 101.3 is just a conversion factor from knots to feet per minute, and sine of climb angle is just the (Thrust-Drag)/Weight that we were looking at before. So what this is telling us is that a good rate of climb will occur when the difference between thrust and drag is big, but also when the velocity is high. In other words, if you want to increase climb rate, it would be acceptable to accept a small decrease in Thust-drag, for a large increase in Velocity. This would produce a lower climb angle... but at a much higher speed. This is why Vy is higher than Vx.

So what about flaps? What do they do? Well, remember, they lower the speed at which best L/D occurs AND they lower L/D? That means there is no trade-off...We lose on both counts. L/D went down, which means that since lift is going to stay the same (equal to weight) total drag will have to go up. If drag does up, (Thrust-Drag) will go down....But instead of V going up to counteract the change in drag, V goes down too!

So, if we care about CLIMB ANGLE, GLIDE ANGLE or CLIMB RATE... we want no flaps. If we care about taking off on a short runway, or landing on a short runway... we want the flaps.

What about a short distance to a 50' obstacle? Well, there are two parts to that problem. In the first part, we need to get off the runway in the shortest distance. That means using the flaps. But then we need to climb 50', and we already know from above that climb angle is maximized without the flaps? So which factor is more important in this problem, the distance we spend on the runway, or the distance we spend climbing the 50'? Well, in most cases it's the distance we spend on the runway, and in most cases shortest distance to clear a 50' obstacle is obtained with at least some amount of flaps extended. This is because the obstacle is so close that the extra distance in the climb portion is more that made up for by the distance you save on the runway. For low, close-in obstacles, flaps are usually better. For higher, more distant obstacles, no flaps is better. For time to a particular altitude... no flaps is better.

Clear as mud?
 
So, if we care about CLIMB ANGLE, GLIDE ANGLE or CLIMB RATE... we want no flaps. If we care about taking off on a short runway, or landing on a short runway... we want the flaps.

One more thing to add about GLIDE ANGLE and L/D MAX. GLIDE ANGLE is pretty a fixed ratio for a given configuration. L/D MAX increases with weight. The consequence of this - BEST GLIDE will be a substantially higher airspeed at greater weight, but will give roughly the same range gliding.

Negative flaps improve best glide as well, in a different way. Since the airfoil makes less lift (they flatten the chord), L/D Max becomes higher as well, hence a higher best glide speed. They probably improve the glide angle as well to some degree, but I'll need to dig through some performance charts to see if that is true.
 
One more thing to add about GLIDE ANGLE and L/D MAX. GLIDE ANGLE is pretty a fixed ratio for a given configuration. L/D MAX increases with weight. The consequence of this - BEST GLIDE will be a substantially higher airspeed at greater weight, but will give roughly the same range gliding.

Negative flaps improve best glide as well, in a different way. Since the airfoil makes less lift (they flatten the chord), L/D Max becomes higher as well, hence a higher best glide speed. They probably improve the glide angle as well to some degree, but I'll need to dig through some performance charts to see if that is true.

I don't know from negative flaps one way or the other... but the rest is spot on. Weight doesn't affect L/Dmax but it does affect the speed you need to fly to GET L/D max. So an empty 172 will glide just as far as a 172 with 4 fat people crammed in it... but the full 172 will need to fly faster. That surprises most people.
 
I don't know from negative flaps one way or the other... but the rest is spot on. Weight doesn't affect L/Dmax but it does affect the speed you need to fly to GET L/D max. So an empty 172 will glide just as far as a 172 with 4 fat people crammed in it... but the full 172 will need to fly faster. That surprises most people.

Right. Reminds me of when my Aerodynamics professor in college put on a test, "Which aircraft falls faster and glides farther, a Boeing 747 or a Cessna 172?" Needless to say, no one got it right.
 
Negative flaps improve best glide as well, in a different way. Since the airfoil makes less lift (they flatten the chord), L/D Max becomes higher as well, hence a higher best glide speed. They probably improve the glide angle as well to some degree, but I'll need to dig through some performance charts to see if that is true.

Hey drunkenbeagle, I should have noticed this before but didn't:

If what you say about negative flaps is true concerning them increasing L/D max, then they do decrease glide angle, because glide angle depends only on the value of L/D max. I'm not talking about the speed at which you acheive L/D max, though, I'm talking about the ratio of lift to drag increasing. If the actual L/D max increases then glide angle decreases... (which is the same thing as saying that glide range increases).

From a design perspective, though, it seems odd to add negative flaps as a feature to a design... because it seems like you would want them extended the whole flight except for a short period of time on landing (if they work the way you say above-- increasing L/D max). If that is the shape of the wing that you want most of the time, it seems like you would just build the wing in that shape...and then add lift and drag devices for the short term conditions (read: normal flaps, to be extended only for takeoff and landing).
 
Fly_Unity,

Flaps always decrease the maximum lift to drag ratio. This decrease is because flaps increase the coefficient of lift (which is good and would increase L/Dmax, if it were the only thing going on), but flaps also increase the coefficient of drag. The coefficient of drag, Cd is equal to Cd,0 (the coefficient of drag at zero lift... a measure of parasite drag) plus Cd,i (the coefficient of induced drag). Cd,i is proportional to coefficient of lift squared. So for any increase in lift due to flaps, the amount of drag increase will be the square of that.

One other thing happens to L/Dmax with flaps, though. The lift to drag ratio decreases, but the speed at which one obtains best L/D also decreases. So if clean L/Dmax was 15 and occurred at 100 knots, with flaps L/D max might be 10 or 11... but it maybe it occurs at 85 knots.

Therefore, there is never a case where adding flaps increases steady-state best glide angle. I have heard an argument that says that because of the decrease in the velocity required for best glide speed with flaps down versus flaps up, lowering flaps at the last minute when you are not sure if you going to make the runway can "stretch" the glide slightly... but only until you bleed off the difference in airspeed. If this effect is even true, I'm not sure that it makes enough of a difference to be worth using.

Of course, there is one other argument for lowering the flaps in a glide, which is that it reduces your overall speed (both best glide speed and stall speed decrease)... might be useful before your power off landing, especially if you are not going to make the runway! That way you hit at the slowest forward speed.


As for takeoff, and the Vx and Vy numbers, L/D max also can play a role in those. Best climb angle is achieved (in a jet or a prop) at the speed at which the amount of excess thrust is the highest. In a jet aircraft, thrust is relatively constant with airspeed, to the point where we usually treat it as a constant. In a prop, on the other hand, the thrust developed by the propellor drops off as speed increases. For either type of aircraft, climb angle is arcsin of (Thrust-Drag)/Weight. Since for jet aircraft, thrust is pretty much constant with airspeed, and we'll assume weight isn't changing fast enough to affect the math, that gives a best climb angle at the lowest value of total drag. The lowest total drag value occurs at L/D max for the given configuration.

As for flaps? Well, they INCREASE drag, right? So you get a worse climb angle with the flaps. But remember that affect about flaps lowering the L/Dmax speed and the stall speed? Well because those speeds are lower, you don't have to get as fast to achieve takeoff speed (defined as 1.3 times stall speed). Therefore, for a short runway, flaps are better for getting airborne sooner. For climb angle, no flaps are better.

What about prop airplanes? Well, it depends on the characteristics of the prop and the engine, but typically the best climb angle in a prop is slightly slower than L/D max, because of the increased thrust at lower speeds. Drag is higher, but so is thrust, and the thrust increases more than the drag.



Ok, on to climb rates: Rate of climb is just 101.3*Velocity*sine of climb angle. The 101.3 is just a conversion factor from knots to feet per minute, and sine of climb angle is just the (Thrust-Drag)/Weight that we were looking at before. So what this is telling us is that a good rate of climb will occur when the difference between thrust and drag is big, but also when the velocity is high. In other words, if you want to increase climb rate, it would be acceptable to accept a small decrease in Thust-drag, for a large increase in Velocity. This would produce a lower climb angle... but at a much higher speed. This is why Vy is higher than Vx.

So what about flaps? What do they do? Well, remember, they lower the speed at which best L/D occurs AND they lower L/D? That means there is no trade-off...We lose on both counts. L/D went down, which means that since lift is going to stay the same (equal to weight) total drag will have to go up. If drag does up, (Thrust-Drag) will go down....But instead of V going up to counteract the change in drag, V goes down too!

So, if we care about CLIMB ANGLE, GLIDE ANGLE or CLIMB RATE... we want no flaps. If we care about taking off on a short runway, or landing on a short runway... we want the flaps.

What about a short distance to a 50' obstacle? Well, there are two parts to that problem. In the first part, we need to get off the runway in the shortest distance. That means using the flaps. But then we need to climb 50', and we already know from above that climb angle is maximized without the flaps? So which factor is more important in this problem, the distance we spend on the runway, or the distance we spend climbing the 50'? Well, in most cases it's the distance we spend on the runway, and in most cases shortest distance to clear a 50' obstacle is obtained with at least some amount of flaps extended. This is because the obstacle is so close that the extra distance in the climb portion is more that made up for by the distance you save on the runway. For low, close-in obstacles, flaps are usually better. For higher, more distant obstacles, no flaps is better. For time to a particular altitude... no flaps is better.

Clear as mud?

Getting better, Thanks for your post. :)

Still a few questions lingering in my mind.

I was flying a 2011 Turbo 206 today and reading the checklist it says to the lower the flaps to 10 degrees if we encounter conditions where we need best climb angle to clear an obstacle. Why is this? (note: the online PIM does not mention this, but says to leave flaps up for best angle)

Also on the short field T/O, It says to leave the flaps at 20 degrees until all obstacles are clear.

If Im reading what your saying right... The best optimum takeoff would be to takeoff with flaps, once off the runway, remain in ground-affect until reaching Vx, pull the flaps up, then climb at Vx until the obstacle is clear. Would you agree with this? Why do most different POH's say to leave the flaps down until clear of obstacle? Maybe the first notch of flaps does not add enough drag to justify the increased workload? Or pilots incorrectly letting the plane sink back onto the runway because they dont counteract the change of AOA with back elevator?
 
Getting better, Thanks for your post. :)

Still a few questions lingering in my mind.

I was flying a 2011 Turbo 206 today and reading the checklist it says to the lower the flaps to 10 degrees if we encounter conditions where we need best climb angle to clear an obstacle. Why is this? (note: the online PIM does not mention this, but says to leave flaps up for best angle)

Also on the short field T/O, It says to leave the flaps at 20 degrees until all obstacles are clear.

If Im reading what your saying right... The best optimum takeoff would be to takeoff with flaps, once off the runway, remain in ground-affect until reaching Vx, pull the flaps up, then climb at Vx until the obstacle is clear. Would you agree with this? Why do most different POH's say to leave the flaps down until clear of obstacle? Maybe the first notch of flaps does not add enough drag to justify the increased workload? Or pilots incorrectly letting the plane sink back onto the runway because they dont counteract the change of AOA with back elevator?

I think the answer to both questions is the same. If I read your first question correctly, "lower the flaps to 10 degrees if we encounter conditions where we need best climb angle to clear an obstacle," is referring to clearing an obstacle after take-off, yes? And that is pretty much what your second question is referring to, also, I think, so I'll handle them together:

Based on what you wrote in your second paragraph, I think you've got the basic idea pretty much down pat. Flaps let us take off in a shorter distance, by decreasing stall speed (which also decreases take-off speed... take-off speed being nothing more than 1.3 times stall speed).

If you are trying to clear an obstacle, the angle you need to climb obviously depends on the height of the obstacle and the distance to the obstacle... if the distance is greater, you don't need as steep a climb angle to clear the obstacle.

And I think you've also got the general concept that once you are airborne, flaps up is where you want to be for climb performance (best angle OR best rate.... doesn't matter, because flaps hurt you in either case).

But take-off is a weird case: Let us assume for the moment that we have to pick one condition for the whole process, either flaps up the whole time, or flaps down to some particular setting. Is it better to accept the reduced climb out performance from the flaps in favor of the advantage of short take-off distance, or is it better to take the longer take-off distance in favor of the steeper climb-out angle? Well, the answer to this is VERY situation dependent. It depends on a number of things, including the performance characteristics of the airplane you are in, temperature and density, how far away the obstacle is that you are trying to clear, etc., etc.

In general, if the obstacle is relatively close, and relatively low (say a tree at the end of the runway), you are usually better off with using the flaps. A short take-off distance provides more distance to the obstacle in which to do your climb. If the obstacle is tall, and at a pretty good distance, flaps up is probably better.

(Up to this point, I've pretty much just restated what I said above... and I think you probably already were pretty clear on all of that based on how you phrased your second question. I was just making sure for clarity's sake).

Ok, but why can't we do both? Why can't we take-off with the flaps for the advantage of short take-off distance, accelerate and raise the flaps for the advantage of better climb-out performance. Well, we can... but it definitely complicates things in a number of ways:

The first way that it complicates things is the speed we are at. If we just took off using flaps, and immediately raised them (without accelerating), we would be closer to (and possibly below) stall speed. As we mentioned above, the whole reason flaps got us airborne faster was by lowering stall speed, so that we could take off slower (and therefore SOONER, because we don't have to accelerate as much). So one reason that you might want to leave flaps down until well into the take-off and climb-out is to prevent someone from inadvertently raising the flaps too early very close to the ground, and stalling with little to no recovery room.

This is an OK reason, but probably not the reason that your POM has you leave the flaps alone. There is a better reason:

So we do a takeoff with flaps and let's assume we rotate and take-off at the slowest allowable take-off speed (which we would want to do in the short field situation anyway, since that gives us the most advantage from the flaps, because it's the shortest take-off distance). We recognize that we need to accelerate if we want to raise the flaps. Well, when we accelerate, we do that by reducing our climb out angle for some amount of time. Instead of using our excess thrust and power to climb, we are going to use some of our excess thrust and power for acceleration. Then we are going to spend some time raising flaps and re-establishing a no flap climb.

Well, it turns out, there are a lot of different ways we could do this. We could accelerate in ground affect, or basically climb not at all, get the flaps up, and then re-establish our climb. Or we could climb out at minimum climbout speed with the flaps extended, lower our nose ever so slightly and allow the speed to increase to safe flap retraction speed over a long period of time. Or we could do something between these two.

Well, if we accelerate in ground effect... all we are really doing is eating up distance towards the obstacle. Essentially, we are negating the advantage of taking off with the flaps in the first place. We would have been better off accelerating on the ground. In the air, even in ground effect, we are producing plenty of lift and therefore plenty of induced drag. Certainly because of ground effect the induced drag is reduced, but had we stayed on the runway demanding nothing from wing we probably would have accelerated faster. So if it was advantageous to take off with the flaps due to a low, close obstacle to get that short take-off distance, we don't want to negate that advantage by accelerating in ground effect.

Now, if the scenario were different, say a short runway, but then no obstacles to worry about for a good long while, accelerating in ground effect might make sense. We had to take off with the flaps for the runway length in this scenario, not because of the obstacle clearance problem. Since we aren't worried about the obstacle clearance issue, this method will get us off the ground in the shortest distance, and then accelerated in the quickest time. That way, we can get cleaned up and climb out a Vy for best rate of climb. A good method for getting up to altitude in the shortest time, and hence, the most fuel efficient way to do it. This might also be ok for a short runway, with a tall obstacle at a large distance. You would normally have taken off no flap in this case, but couldn't because there wasn't enough pavement. So now you do the next best thing.

But I'm digressing a little, I think...

Ok, so we've examined one end of our range of options: the option where we use ALL of our available excess power (and the advantage of reduced drag from ground effect) to accelerate only, and then climb. What about the other end of the range of options: where we use most of our excess power to climb, and only use some of it to accelerate? What does this look like? Essentially, in this option, we're going to climb out with the flaps... but then slowly accelerate to flap reduction speed while still climbing, raise the flaps, and keep climbing at Vx for flaps-up.

Well, this case is much harder to describe, because it really depends on how slowly we are "slowly accelerating." I'll come back to this in a minute.

First, let's look at what is happening while we accelerate. Obviously, while we are slowly accelerating, we are doing three things that hurt our climb:

The first is, we have the flaps down (until we get to retraction speed). Beating a dead horse, but flaps hurt the climb. Nothing we can do about that, though. We chose our flaps for take-off performance (and hopefully for the right reasons, and we can't raise them below no flap stall speed.

The second is, we are using some of the excess power we have to do accelerate, rather than climb. So we aren't climbing as much as we could be, because we aren't using all of our power for the climb. This would be a similar effect to trying to climb out at a reduced power setting (except that here, we are getting acceleration out of the engine, whereas with a reduced power setting we would have reduced climb, AND no acceleration).

Third: we have begun to accelerate, so we are no longer at Vx for flaps-extended. Because we are at a non-optimum speed for our configuration, we don't climb as well as we would at the optimum speed, because our ratio of excess thrust to drag is not as good as it was. In a jet, we kept thrust the same but we increased our drag by moving away from L/D max. In a prop, we were probably below L/D max (Vx in a prop normally is a little less than L/D max... see previous post), so accelerating probably reduced our drag. But because props develop the most thrust at the lowest speed, we reduced our thrust by accelerating. The reduction in thrust hurts us more than the reduction in drag.

So this whole time we are accelerating while climbing, we aren't climbing as much. Unfortunately, it's impossible to tell how bad it's hurting us. Are we accelerating one knot ever 5 seconds, or one knot every 30 seconds? Or some other of the infinite possible ways we could do that?

As it turns out, just like the accelerate in ground effect case that we looked at earlier, there are situations where using this slow acceleration method can improve our overall climb performance. But unlike the accelerate in ground effect case, this one is much harder to predict whether it will help or hurt, because you have to know what technique the pilot is going to use for his acceleration-climb, and the performance varies widely based on the acceleration rate you use. If you accelerate too slowly, you spend more time in this sub-optimal condition. If you accelerate too quickly, you use too much of your power for acceleration, and not enough for climb.

The aircraft I fly (KC-135, a large 4-engine jet), actually has a computer and flight director system that allows us to compute and fly an acceleration-climb. Basically, by following the computer we can ensure we get the advantages from the ACCEL-CLIMB profile. We don't accelerate too slowly and we don't accelerate too quickly, because the computer figures it all out and directs the perfect pitch to balance all of these factors. And we still don't use that mode if the obstacle is close.

Ok, so we've come a long way to finally get to the answer to your question: There are times when any of these methods has their advantages, but most POMs don't recommend them, and especially not for a low, close in obstacle, like a tree at the end of a short runway. The acceleration-climb really requires perfect technique to get any advantage out of it at all (so probably a fancy-schmancy computer system like in some of the big jets). The ground-effect acceleration technique eats up too much distance towards an obstacle that's close. Not to mention the workload, sink, reduced stall margin, etc. that you were already thinking about.

In short (yeah, right, as if I were capable of posting anything SHORT)... the POM recommends flaps until clear of the obstacle (especially the low, close in obstacles) because that's usually the best method of clearing the obstacle, and the other methods are difficult/impossible to predict the outcome. The transition from flaps to no flaps costs you some climb performance, and it takes a while to make that loss back up with your better climb performance after the flap reduction. For a distant obstacle, it may be worth it... but the POM usually doesn't worry about distant obstacles, especially for GA airplanes (some large jet airplanes do consider that scenario, though). After all, if the obstacle were distant, you could just take-off and climb in a spiraling turn until you cleared it. Usually, it's the close-in obstacle we worry about, especially in a GA airplane.
 
I think the answer to both questions is the same. If I read your first question correctly, "lower the flaps to 10 degrees if we encounter conditions where we need best climb angle to clear an obstacle," is referring to clearing an obstacle after take-off, yes? And that is pretty much what your second question is referring to, also, I think, so I'll handle them together:.....

Very insightful post. Thankyou!
 
Best climb angle is achieved (in a jet or a prop) at the speed at which the amount of excess thrust is the highest.

I think you may be confusing best rate with best angle? If memory serves best angle is largely impacted by forward speed and can theoretically occur below the aircrafts stall speed.
 
I think you may be confusing best rate with best angle? If memory serves best angle is largely impacted by forward speed and can theoretically occur below the aircrafts stall speed.

Never mind. Power...thrust...grr. :-\

However, another question. Flaps let you go slower and at slower speeds thrust is increased in a propeller aircraft. Is it possible that the reduced speed offsets the increased drag?
 
Never mind. Power...thrust...grr. :-\

However, another question. Flaps let you go slower and at slower speeds thrust is increased in a propeller aircraft. Is it possible that the reduced speed offsets the increased drag?

Sure, this the general idea on which most STOL kits are based on. Some kits even go as far as to droop the ailerons a few degrees.
 
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