fluid dynamics Flashcards

1
Q

What is the edge facing the direction of flow on a flat plate called?

A

The leading edge.

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2
Q

What is the rear edge of a flat plate in the direction of flow called?

A

The trailing edge.

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3
Q

Near the leading edge of a flat plate, what type of boundary layer is formed?

A

The boundary layer is wholly laminar.

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4
Q

For a laminar boundary layer, what is the velocity distribution?

A

The velocity distribution is parabolic.

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5
Q

How does the thickness of the boundary layer (δ) change with distance from the leading edge x?

A

δ increases with distance from the leading edge x.

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6
Q

What happens to the boundary layer as δ increases with x?

A

More fluid is slowed down by the viscous boundary, becomes unstable, and breaks into a turbulent boundary layer over a transition region.

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7
Q

In a turbulent boundary layer on a smooth boundary, what remains laminar?

A

A very thin layer called the laminar sublayer.

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8
Q

What are the velocity distributions in the turbulent boundary layer?

A

Log law or Prandtl’s one-seventh power law.

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9
Q

How does the boundary layer thickness δ change as the free stream velocity U increases?

A

δ decreases as U increases.

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10
Q

How does δ change as kinematic viscosity (ν) increases?

A

δ increases as kinematic viscosity (ν) increases.

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11
Q

What is the relationship between τ₀ and δ?

A

τ₀ ≈ µ (U / δ).

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12
Q

How does τ₀ change as x increases in a laminar boundary layer?

A

τ₀ decreases as x increases.

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13
Q

When the boundary layer becomes turbulent, how does τ₀ behave with increasing x?

A

It shows a sudden increase and then decreases with increasing x.

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14
Q

What happens to boundary layer growth when U increases in the downward direction?

A

Boundary layer growth is reduced.

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15
Q

What occurs when U decreases in the downward direction?

A

Flow near the boundary is further retarded, boundary layer growth is faster and is susceptible to separation.

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16
Q

What govern the various characteristics of the boundary layer on a flat plate?

A

Inertial and viscous forces.

17
Q

The characteristics of the boundary layer are functions of which non-dimensional numbers?

A

Either Ux/ν or UL/ν.

18
Q

If 5 ~ 10 Ux/ν < 2000 what is the state of the boundary layer?

A

The boundary layer is laminar (velocity distribution is parabolic).

19
Q

If 5 ~ 10 Ux/ν > 4000 what is the state of the boundary layer?

A

The boundary layer is turbulent on that portion (velocity distribution follows Log law or a power law).

20
Q

What factors does the critical value of Ux/ν, at which the boundary layer changes from laminar to turbulent, depend on?

A

turbulence in ambient flow,
surface roughness,
pressure gradient,
plate curvature, and
temperature difference between fluid and boundary

21
Q

How can the velocity distribution in the laminar sub-layer zone be approximated?

A

The velocity distribution can be approximated as linear, assuming the velocity gradient is constant, due to the very small thickness of the laminar sub-layer zone

22
Q
A