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1

H, Bell J., Mehta R. D, and Ames Research Center, eds. A 3-component laser-doppler velocimeter data acquisition and reduction system. National Aeronautics and Space Administration, Ames Research Center, 1986.

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2

H, Bell J., Mehta R. D, and Ames Research Center, eds. A 3-component laser-doppler velocimeter data acquisition and reduction system. Stanford University, Dept. of Aeronautics and Astronautics, 1985.

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3

H, Bell J., Mehta R. D, and Ames Research Center, eds. A 3-component laser-doppler velocimeter data acquisition and reduction system. Stanford University, Dept. of Aeronautics and Astronautics, 1985.

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4

H, Bell J., Mehta R. D, and Ames Research Center, eds. A 3-component laser-doppler velocimeter data acquisition and reduction system. National Aeronautics and Space Administration, Ames Research Center, 1986.

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5

Kuhlman, John M. Three component laser Doppler measurements in an axisymmetric jet. National Aeronautics and Space Administration, Langley Research Center, 1989.

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6

Seshadri, S. N. Evaluation of LDA 3-component velocity data on a 65 [degree] delta wing at M=0.85 and first results of an analysis. DFVLR, 1989.

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7

Hayes, D. G. Tomographic flow measurement by combining component distribution and velocity profile measurements in 2-phase oil/gas flows. UMIST, 1994.

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8

L, Wennerberg, and Geological Survey (U.S.), eds. Three-component digital velocity and acceleration recordings made in conjunction with the PACE refraction experiment (November 1985). U.S. Dept. of the Interior, Geological Survey, 1986.

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9

L, Wennerberg, and Geological Survey (U.S.), eds. Three-component digital velocity and acceleration recordings made in conjunction with the PACE refraction experiment (November 1985). U.S. Dept. of the Interior, Geological Survey, 1986.

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10

L, Wennerberg, and Geological Survey (U.S.), eds. Three-component digital velocity and acceleration recordings made in conjunction with the PACE refraction experiment (November 1985). U.S. Dept. of the Interior, Geological Survey, 1986.

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11

J, Goldman Louis, and Lewis Research Center, eds. Combined fringe and Fabry-Perot laser anemometer for three component velocity measurements in turbine stator cascade facility. National Aeronautics and Space Administration, Lewis Research Center, 1986.

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12

L, Wennerberg, and Geological Survey (U.S.), eds. Three-component digital velocity and acceleration recordings made in conjunction with the PACE refraction experiment (November 1985). U.S. Dept. of the Interior, Geological Survey, 1986.

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13

L, Wennerberg, and Geological Survey (U.S.), eds. Three-component digital velocity and acceleration recordings made in conjunction with the PACE refraction experiment (November 1985). U.S. Dept. of the Interior, Geological Survey, 1986.

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14

Schwanke, Peter. Implementation into DIVIMP of a drift-kinetic model derived from the Fokker-Planck equation to examine the parallel-to-B velocity component of impurity ions in divertor-tokamak plasmas. Department of Aerospace Science and Engineering, University of Toronto, 2001.

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15

Dashorst, Martijn. Wicket in action. Manning, 2009.

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16

Dashorst, Martijn. Wicket in action. Manning, 2009.

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17

Eigenmodes of ducted flows with radially-dependent axial and swirl velocity components. National Aeronautics and Space Administration, Glenn Research Center, 1999.

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18

National Aeronautics and Space Administration (NASA) Staff. Eigenmodes of Ducted Flows with Radially-Dependent Axial and Swirl Velocity Components. Independently Published, 2018.

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19

Rajeev, S. G. Boundary Layers. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0007.

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It is found experimentally that all the components of fluid velocity (not just thenormal component) vanish at a wall. No matter how small the viscosity, the large velocity gradients near a wall invalidate Euler’s equations. Prandtl proposed that viscosity has negligible effect except near a thin region near a wall. Prandtl’s equations simplify the Navier-Stokes equation in this boundary layer, by ignoring one dimension. They have an unusual scale invariance in which the distances along the boundary and perpendicular to it have different dimensions. Using this symmetry, Blasius reduced Prandtl’
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20

Escudier, Marcel. Turbulent flow. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0018.

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In this chapter the principal characteristics of a turbulent flow are outlined and the way that Reynolds’ time-averaging procedure, applied to the Navier-Stokes equations, leads to a set of equations (RANS) similar to those governing laminar flow but including additional terms which arise from correlations between fluctuating velocity components and velocity-pressure correlations. The complex nature of turbulent motion has led to an empirical methodology based upon the RANS and turbulence-transport equations in which the correlations are modelled. An important aspect of turbulent flows is the
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21

Deruelle, Nathalie, and Jean-Philippe Uzan. Vector geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0002.

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This chapter defines the mathematical spaces to which the geometrical quantities discussed in the previous chapter—scalars, vectors, and the metric—belong. Its goal is to go from the concept of a vector as an object whose components transform as Tⁱ → 𝓡ⱼ ⁱTj under a change of frame to the ‘intrinsic’ concept of a vector, T. These concepts are also generalized to ‘tensors’. The chapter also briefly remarks on how to deal with non-Cartesian coordinates. The velocity vector v is defined as a ‘free’ vector belonging to the vector space ε‎3 which subtends ε‎3. As such, it is not bound to the point P
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22

A 3-component laser-doppler velocimeter data acquisition and reduction system. National Aeronautics and Space Administration, Ames Research Center, 1986.

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23

A 3-component laser-doppler velocimeter data acquisition and reduction system. Stanford University, Dept. of Aeronautics and Astronautics, 1985.

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24

A 3-component laser-doppler velocimeter data acquisition and reduction system. National Aeronautics and Space Administration, Ames Research Center, 1986.

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25

A 3-component laser-doppler velocimeter data acquisition and reduction system. Stanford University, Dept. of Aeronautics and Astronautics, 1985.

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26

Escudier, Marcel. Basic equations of viscous-fluid flow. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0015.

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In this chapter it is shown that application of the momentum-conservation equation (Newton’s second law of motion) to an infinitesimal cube of fluid leads to Cauchy’s partial differential equations, which govern the flow of any fluid satisfying the continuum hypothesis. Any fluid flow must also satisfy the continuity equation, another partial differential equation, which is derived from the mass-conservation equation. It is shown that distortion of a flowing fluid can be split into elongational distortion and angular distortion or shear strain. For a Newtonian fluid, the normal and shear stres
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27

Wittman, David M. Galilean Relativity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0003.

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Galilean relativity is a useful description of nature at low speed. Galileo found that the vertical component of a projectile’s velocity evolves independently of its horizontal component. In a frame that moves horizontally along with the projectile, for example, the projectile appears to go straight up and down exactly as if it had been launched vertically. The laws of motion in one dimension are independent of any motion in the other dimensions. This leads to the idea that the laws of motion (and all other laws of physics) are equally valid in any inertial frame: the principle of relativity.
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28

Zeitlin, Vladimir. Rotating Shallow-Water Models with Full Coriolis Force. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0016.

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The derivation of the rotating shallow-water model by vertical averaging is carried on in the tangent plane approximation without neglecting the vertical component of the Coriolis force, and contributions of the vertical component of velocity in its horizontal component (‘non-traditional’ terms), leading to one- and two-layer ‘non-traditional’ rotating shallow-water models. A similar approach on the whole sphere encounters difficulties with conservation of angular momentum. Consistent ‘non-traditional’ rotating shallow-water equations in this case are obtained from the variational principle, w
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29

Seshadri, Shanka Narayan. Evaluation of LDA 3-component velocity data on a 65 ̊delta wing at M=0.85 and first results of an analysis. 1989.

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30

Dashorst, Martijn, and Eelco Hillenius. Wicket in Action. Manning Publications Co. LLC, 2008.

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31

T. Wave Phenomena. Courier Dover Publications, 2014.

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