Define stability of an aircraft. Explain positive dynamic stability with necessary sketches.
What are the purposes of flaps in an aircraft? Name with neat sketches different types of flaps used in airplane.
In a tornado as shown in Fig. 8(c), the circulation is and that the pressure at is which is less than the far-field pressure. Assuming sea-level density of air, calculate the sink strength, the pressure at , and the angle at which the streamlines cross the circle at .

Prove that the surface pressure coefficient over a circular cylinder is . Also draw the theoretical and experimental value of distribution over a circular cylinder.
Derive the expression for the kutta-Joukowski theorem by superimposing stream functions of the elementary flows such as uniform flow, a doublet and a vortex flow.
A cylinder 1.2 m in diameter and 8 m long rotates at 90 rpm with its axis perpendicular to an air stream with a wind velocity of 30 m/s. Assuming no slip condition between the cylinder and the circulatory flow, find (i) magnitude of circulation and (ii) the transverse or lift force.
What is doublet flow? Show that for doublet flow, the stream function is
where the symbols have their usual meaning.
A uniform flow with a velocity of is flowing over a plane source of strength . The uniform flow and the source flow are in the same plane. A point is situated in the flow field. The distance of the point from source is and it is at an angle of to the uniform flow. Determine
(i) Stream function at point
(ii) Resultant velocity of flow at , and
(iii) Location of stagnation point from the source
Explain Magnus effect in moving fluid. How is it applied to a moving body?
An airfoil moves at in stationary air of specific weight . If the coefficients of drag and lift are and respectively, determine (i) the lift force (ii) the drag force (iii) power required to keep the airfoil in motion.