
Royal Solver


Aerodynamics - Load Factor
Calculate the load factor during aircraft maneuver when it flies at 220 km/h with 10 deg angle of attack. The aircraft of 5 ton mass has rectangular wing (18x6m) with 6 lift slope (the air density is 1.2 kg/m^3).
1. Calculate the wing rectangular area.
2. Calculate the lift coefficient
3. Calculate the lift force using (1) and (2).
1. Calculate the wing area using rectangle approximation
2. Calculate wing aspect ratio
3. Calculate Oswald factor for the wing
4. Using the Oswald factor and the lift curve slope of the airfoil calculate the wing lift slope
5. Calculate the lift coefficient using (4)
6. Calculate the induced drag coefficient using wing parameters (5), (3),(2)
7. Calculate drag coefficient from (6) and data
8. Calculate the drag force
Calculate the Drag force of the aircraft wings at 30 m/sec with the following parameters:
0.05 - friction drag coefficient
100m - wingspan
5m - mean wing chord
3 - lift curve slope of airfoil
0.1 rad - angle of attack
Aerodynamics - Wing Drag Calculation
Solution:
1. Calculate the second point of the first side.
2. Calculate the distance between the start point and second point from (1)
3. Calculate the second slope m2=-1/m1
4. Calculate the second point of the second side.
5. Calculate the distance between start point and point (4).
6. Calculate the rectangular area using the length of two sides (2) and (5).
Calculate the area of rectangle with one of its corners at point (1, -1). The first rectangular side starts from this point has a slope 1.5 and ends at x=3, the second side ends at x=-5.
Analytical Geometry - Area
Solution:
1. Calculate the atmosphere temperature at 10 km.
2. Calculate the plate surface area.
3. Calculate the temperature inside the box.
The electrical device is placed on the aircraft flying at 10 km altitude. The device is placed into the closed container with low conductivity surface. In order to control the temperature of the electrical device, the back panel of the container (that doesn't see the air flow) was changed to high conductivity plate made of gold (Gold thermal conductivity is 315 W/(mK) ). The plate dimensions are 10x20 cm and 10 mm thickness. Calculate the temperature inside the box if the heat transfer rate through the plate is -75,6 kW.