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JNTU B.Tech II AERODYNAMICS - I Previous Question Paper (October - 2020 - R18)

B.Tech | II | II-I | R18 | October - 2020

Answer PaperPaper Code: 153AAMaximum Marks: 75Time: 2 hours

Answer any five questions. All questions carry equal marks.

Main

115 marks
a

Consider an airfoil in a flow with a free stream velocity of 45 m/s. The velocity at a given point on the airfoil is 70 m/s. Calculate the pressure co-efficient.

8 marks

Answer

The pressure coefficient Cp is defined as the ratio of the pressure difference to the dynamic pressure of the free stream. Using Bernoulli's equation for incompressible flow, the formula is:

Cp = 1 - (V / V∞)2

Given the free stream velocity V∞ = 45 m/s and the local velocity V = 70 m/s, the calculation is as follows:

Cp = 1 - (70 / 45)2
Cp = 1 - (1.5556)2
Cp = 1 - 2.4198 = -1.4198

The pressure coefficient at the given point on the airfoil is approximately -1.42.

b

Define viscosity and using neat sketches explain the concept of boundary layer.

7 marks

Answer

Viscosity is the property of a fluid that measures its resistance to gradual deformation by shear stress or tensile stress. It is essentially the internal friction between fluid layers moving at different velocities.

The boundary layer is the thin region of fluid flow adjacent to a solid surface where the effects of viscosity are significant. Outside this layer, the flow can be treated as inviscid.

Key concepts of the boundary layer include:

  • At the surface, the fluid velocity is zero relative to the body due to the no-slip condition.
  • As the distance from the surface increases, the velocity increases until it reaches the free stream velocity.
  • The boundary layer grows in thickness along the surface in the direction of flow.
  • Flow within the boundary layer can be laminar (smooth, ordered layers) or turbulent (chaotic, mixing layers) depending on the Reynolds number.

A sketch would show a solid surface with a velocity profile starting at zero at the wall and asymptotically approaching the free stream velocity, with the boundary layer thickness δ defined as the distance from the wall where the velocity reaches 99% of the free stream value.

2

Derive the equation of continuity for the steady flow of a real fluid through a pipe. Discuss the physical significance and applications of the equation of continuity.

15 marks

Answer

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315 marks
a

Derive expressions for stream function and velocity potential for the source and sink in uniform flow. Draw the neat diagram.

8 marks

Answer

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b

What is Kutta-Joukowski’s theorem? State and prove the theorem.

7 marks

Answer

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415 marks
a

Explain source, sink, free and forced vortex with neat sketches.

7 marks

Answer

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b

Show the Magnus effect with the help of streamline diagram over a circular cylinder. And illustrate few practical examples of magnus effect.

8 marks

Answer

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515 marks
a

Explain the terms ‘Bound vortex’, ‘Starting vortex’ and ‘Horse shoe vortex’.

8 marks

Answer

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b

Show that for an elliptical wing loading, the induced drag is minimum.

7 marks

Answer

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615 marks
a

What is a Rankine oval? What combination of flow is required to obtain the oval?

7 marks

Answer

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b

Relate circulation along a closed curve in a fluid to the vorticity inside the curve. Now show that vorticity at the centre of an irrotational vortex is infinite.

8 marks

Answer

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715 marks
a

What are the Effect of propeller on wings unit? How the propeller effects can be minimized?

8 marks

Answer

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b

Write the interference effect due various parts over airplane as a whole aircraft.

7 marks

Answer

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8

Explain the transformation of flat plate airfoil on z- plane to a circular cylinder with centre placed at origin on ξ- plane.

15 marks

Answer

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This page contains the question paper of AERODYNAMICS - I from JNTU for B.Tech AE II II-I, October - 2020, R18.

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