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00 0702

Explain Kutta Joukowski transformation.
Transform a right circular cylinder into a symmetrical airfoil by using Kutta
Joukowski transformation. Also find maximum thickness to chord ratio.
Derive Cauchy — Riemann relation.
Transform a uniform flow parallel to x axis, using the transformation formula
ಫೆ 22 9 Also draw the diagram.
PART ட

Answer any four full questions, each carries 10 marks.
State Biot Savarts law and derive an expression for the velocity induced by an
infinite vortex filament at a point, which is at distance P from the filament. Also
derive an expression for semi-infinite case.
Derive an expression for fundamental equation of Prandtl’s lifting line theory.
Explain the starting vortex, bound vortex, horseshoe vortex and trailing vortex
with neat sketches.
Derive the boundary layer equation for a steady two dimensional incompressible
flow.
Derive the Blasius solution for an incompressible flow over a flat plate.
Define and derive an expression for momentum and energy thickness.
Discuss the significance of Reynolds number in flow analysis. Also define

Critical Reynolds number

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