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Linearized flow CO4

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Linearized velocity potential equation is valid for

a)

transonic flow

b)

hypersonic flow

c)

subsonic and supersonic flows

d)

all types of flows

2.

For small disturbances in a stationary gas, and for flows where the velocity deviates only slightly from a parallel uniform flow, the method of ____ may be employed for linearizing the governing equations.

a)

characteristics

b)

small perturbations

c)

velocity potential

d)

none of the above

3.

Pick out the wrong statement

a)

In subsonic flow, Gothert rule provides the comparison of performance between bodies placed in compressible and incompressible flows

b)

Prandtl Glauert rule permits the comparison between bodies placed in compressible and incompressible flows

c)

both the above statements

d)

none of the above statements

4.

Using Prandtl Glauert rule, the relation between CL in compressible flow and that in incompressible flow is given as

a)

CL=CLi1−M∞2C_L=\frac{C_{Li}}{\sqrt[]{1-M_{\infty}^2}}

b)

CL=CLi1−M∞2C_L=C_{Li}\sqrt[]{1-M_{\infty}^2}

c)

CL=CPi1−M∞2C_L=\frac{C_{Pi}}{\sqrt[]{1-M_{\infty}^2}}

d)

CL=CPi1−M∞2C_L=C_{Pi}\sqrt[]{1-M_{\infty}^2}

5.

In a geometrical transformation, if all coordinates in a given direction are changed by a uniform ratio, then the transformation is called (a)   .

6.

CPCPi=CLCLi=CMCMi=11−M∞2\frac{C_P}{C_{Pi}}=\frac{C_L}{C_{Li}}=\frac{C_M}{C_{Mi}}=\frac{1}{\sqrt[]{1-M_{\infty}^2}}

These equations mean that for the same airfoil at the same angle of attack the CP, CL and CM are affected by (a)   .

7.

The linearized velocity potential equation is _____ for M∞< 1.

a)

elliptic

b)

parabolic

c)

hyperbolic

d)

none of the above

8.

The linearized velocity potential equation is (a)   for M∞ > 1.

9.

The small perturbation equations for subsonic and supersonic flows are _____, and for transonic flows the equation is _____.

a)

linear, non-linear

b)

non-linear, linear

c)

linear, linear

d)

non-linear, non-linear

10.

The small perturbation potential flow equations cannot be used for

a)

rockets

b)

missiles

c)

aerofoils

d)

none of the above