Chapter 3 Flashcards

1
Q

Turbulence statistics differ case by case because of

A
  • different surface forcing,
  • geostrophic wind, or
  • different sounding
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2
Q

Turbulence statistics differ case by case because of different surface forcing,

geostrophic wind, or different sounding.

 But with proper …………….., most turbulent statistics of the PBL collapse onto some ……………….

A

scaling

universal curves, even though data are taken from different cases.

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3
Q

Turbulence statistics differ case by case because of different surface forcing, geostrophic wind, or different sounding.

 But with proper scaling, most turbulent statistics of the PBL collapse onto some universal curves, even though data are taken from different cases.

 In other words, ………………

A

if we can come up with proper scaling parameters, turbulent statistics obtained from a wide range of meteorological conditions can be normalized in such a way that their non‐dimensional statistics are similar.

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4
Q

Employing typical characteristic ……………………………enables us to derive …………………………….

A

length, time, and velocity scales

governing equations in a non‐dimensional form.

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5
Q

Employing typical characteristic length, time, and velocity scales enables us to derive governing equations in a non‐dimensional form.

 The advantage is that we can

A

compare the relative importance of each contribution and reduce the number of parameters needed to study the atmospheric flow

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6
Q

Variables that frequently appear in combination with one another are grouped to form

A

new variables that may be nondimensional, such as the Richardson number,

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7
Q

Variables having simple dimensional units such as

A

velocity, length, or time in some cases are related to the most important scales of motion in the eddies

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8
Q

Turbulence Scales

A
  • length scales
  • Velocity scaales
    • deardoff velocity scale (w*)
    • Friction velocity scale (u*)
  • time scales
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9
Q

length scales

A
  • Altitude of the capping inversion, zi,
    • for the whole boundary layer
    • for statically unstable and neutral conditions.
  • Aerodynamic roughness length z0
    • for the surface layer (bottom 5% of PBL)
    • indicates the roughness of the surface
  • Obukhov lenght (L)
    • for statistically nonneutral conditions in the surface layer
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10
Q

Obukhov length (L)

A
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11
Q

Velocity Scales

A
  • Deardorff velocity scale (w*)
    • characterizing the turbulent mixing due to free convection in an unstably stratified BL
  • Friction velocity velocity scale (u*)
    • applicable to statically neutral conditions in the surface layer (the turbulence is mostly mechanically generated)
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12
Q

Deardorff velocity scale (w*) ‐

A
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13
Q

Friction velocity scale ‐ Another scale u*,

A
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14
Q

Time Scales

A
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15
Q

In summary, For convective boundary layers (ie………..) the relevant scaling parameters are ………….

A

(ie., unstable mixed layers)

w* and Zi

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16
Q

For the neutral surface layer, ……………… are applicable.

17
Q

Scaling parameters for surface layers are

A

u*, z0, and L, provided that the stratification is not neutral.

18
Q

Scaling laws describe

A

the functional relationship between two physical quantities that scale with each other over a significant interval.

19
Q

Scaling laws describe the functional relationship between two physical quantities that scale with each other over a significant interval.

 An example of this is

A

the scaling law for wind profile in the ABL

20
Q

Wind profile ‐ the wind profile law

21
Q

For non‐neutral situations. the wind profile

A

deviates slightly from logarithmic.

22
Q

In stable boundary layers. the wind profile

A

is concave downward on a semi log plot

23
Q

unstable boundary layers wind profile

A

are concave upward

24
Q

Air stability refers to

A

the vertical moving tendency of an air parcel in response to a small disturbance.

25
The amplification of a small vertical disturbance in an............... atmosphere, represents the ................................
unstable mechanism by which buoyancy produces turbulence
26
Under neutral conditions, turbulence is generated
mechanically by wind shear
27
the flow is dynamically unstable when
the presence of wind shear and a viscous force such that a small initial perturbation will become amplified, leading to overturning motion.