A vortex sheet in the incompressible, inviscid fluid dies after some time.

Bernoulli's equation for fluid flow is derived following certain assumptions. Out of the assumptions listed below, which set of assumptions is used in derivation of Bernoulli's equation?
1. Fluid flow is frictionless & irrotational
2. Fluid flow is steady
3. Fluid flow is uniform & turbulent
4. Fluid is compressible
5. Fluid is incompressible

A

1, 3, 4

B

2, 4, 5

C

1, 2, 5

D

1, 4, 5

Mathematically, what is meant by Kelvin’s Circulation Theorem for an inviscid and incompressible flow? (For the same set of fluid elements moving in a closed curve along with the fluid).

A

DΓ/Dt = 0

B

γ1 ≥ Γ2, where 1 is the upstream direction

Is inviscid incompressible fluid has constant density?

A

False

B

True

How vortex filament are arrange in the vortex sheet?

A

Side by side

B

Front and back

C

Up and down

D

Left and right

The relation between pressure and velocity in an inviscid, incompressible flow is given by __________

A

p = constant

B

p + 0.5ρ*V2 = constant

C

0.5ρ*V2 = 0

D

p + 0.5ρ*V2 = 0

For an arbitrary inviscid and incompressible flow, with all the body forces zero, what is best described by the given sketch?

A

Boundary Layer Formation

B

Kelvin’s Circulation Theorem

C

Kutta Condition

D

Generation of Lift

For an inviscid, incompressible flow over finite wings, D’Alembert’s paradox occurs.

A

True

B

False

Biot-Savart law can be used to describe inviscid, incompressible flows.

A

True

B

False

Generation of lift is accompanied by a starting vortex at the trailing edge. If the flow is inviscid, this will not happen. What reason can best describe this?

A

There is no boundary layer formation, hence no vorticity

B

Kutta Condition is enforced

C

Kelvin’s Theorem is violated

D

Starting Vortex dies off instantly

Is three dimensional incompressible potential flows around a body accompanied by a wake vortex?

A

False

B

True

A vortex sheet in the incompressible, inviscid fluid dies after some time.

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