## Glider Winch Launch Simulation

### Larry Bogan - Bluenose Soaring Club

September 2000

Click on the Image to Animate 5 Winch Launches

The launch of a glider using a winch is misunderstood by some drivers and pilots. It is possible to qualitatively describe what is going on but some explanations require the support of quantitative information. As a result I have modeled a winch launch. There are many complicated interactions between wire, glider, air and winch. It is so complicated that a completely accurate simulation is difficult so have had to make some simplifying assumptions.

 Simple Assumptions The wire is straight from the winch to the glider The glider flies at a constant airspeed the whole launch There is no wind, sink or lift. Included Effects Wire drag The wire has mass to be lifted by the glider Glider attitude is increased to increase lift at constant speed. Induced drag is calculated and depends on the lift of the glider
 Parameters Used Glider = Schleicher Ka7 with pilot and passenger Glider speed = 50 knots Distance between the glider and winch = 5000 feet The launch path is a sinusoid curve with amplitude = 1500 feet The wire is 1/8 diameter steel cable.

The following calculations were performed using MathCAD version 3.1

The path of the glider is pre-determined as shown below
This simulation assumes a release at 60º angle.

 The length of wire decreases as the glider flies upward and toward the winch. The initial 5000 ft drops down to 2000 ft at release of the glider. The speed of that wire onto the winch drum is given in the diagram and is 50 kts (84.5 ft/s) at the beginning but decrease to 25 kts (42 ft/s) at release. This dramatically shows why novice winch drivers over speed gliders just before release.. In order to maintain the speed of the glider constant, the rate of reeling in the wire must be decreasing all during the launch.
 The diagram to the right shows that the tension in the wire during the launch slowly increases until 2/3 of way through the launch then it decreases quickly as the glider reaches the top. The power required during the launch equals the tension times the rate of reeling in the wire. As you can see that increases to a maximum half-way through the launch then decrease. When the winch has an automatic transmission, this is a clear indication, that the power must be reduced slowly as the glider approach the top of its launch. The power graph shows the the magnitude (in horsepower) of the various components that contribute to the power input. By far the most power is needed to lift the glider against gravity. Drag components or the wire and glider are similar and are comparable to the power necessary to lift the wire.

Aerodynamic Drag - It is interesting that the magnitude of the drag components are nearly all the same. The "glider drag" is constant for the whole launch since it only depends on the airspeed and that is assumed constant. Induced drag depends quadratically on the lift and as the glider goes up the launch lift changes dramatically. Wire drag increases during the launch because the angle of attack increases. Initially the wire is slipping along its length and there is essentially no drag but by the end of the launch the wire is moving nearly perpendicular to its length which produces more drag.

### Other Glider Results

The results of the launch of the lighter single seater, Schleicher Ka8 are below.
The qualitative results are the same but compare the magnitudes with those of the Ka7 launch. Power Note that the Ka7 required a peak power of 100 hp while the Ka8 requires only a maximum of 70 hp during the launch.Cable Tension In this case the Ka7 puts almost 1000 lbs of tension on the cable whereas the Ka8 only pulls at a little more than 700 lbs.

### Angle of Attack

The lift of the glider must change as it goes throught the various parts of the launch and must be larger in the middle of the launch than at the beginning or end. Since the lift varies as the square of the velocity and the velocity is constant, the only other method of increasing lift is to increase the angle of attack. The graph below shows the angle of attack for the Ka8 during the launch.