To make this turn smooth and to keep the airplane from falling, the pilot pushes the throttle forward for more speed. The pilot also presses down on the right rudder pedal and pulls back on the control column. To turn left, the pilot moves the column left and pushes down the left rudder pedal. The pilot pushes the throttle forward for more speed and pulls back the control column to help make the turn smooth. In 1738 Bernoullli discovered that when the speed of a fluid is increased, the pressure of the fluid at that same point is decreased.
Air behaves much like a fluid, so the same is true for air.
Bernoulli's Principle helps us understand one aspect of lift. The faster movement of air over the curved top surface of an airfoil creates a low pressure area. The slower movement of air over the flat bottom surface of an airfoil creates a high pressure area. The high pressure area pushes up toward the low pressure area. This causes the wing to lift.