Velocity-mapping

Fig. 4—Illustration of the transition from hydrodynamic to boundary lubrication (a) a comparison of pressure of thin EHL film with Hertzian distribution (b) a schematic stress-velocity map showing the dependence of shear stress of lubricating films on sliding velocity.

Figure 4.1.5 shows an example of a PIV image and the resulting two-dimensional velocity map for a counter-... 

A sample PIV image and the corresponding two-dimensional velocity map. The axial velocity along with distance from nozzle exit is plotted accordingly. This minimum point is defined as the reference flame speed. At this reference point, the linearity of the radial velocity profile is illustrated. 

Figure 13. Modified Velocity Map Imaging spectrometer showing the double einzel lens, L, Li, and 5-eV kinetic energy initially transverse trajectories from an extended source volume with Vjgp = 3000 V, Vext = 0.695 x Vjep, and Vl = Vli = 1000 V. Taken with permission from Ref. [102]. Copyright (c) 2005, American Institute of Physics.

Velocity maps of simple or complex liquids, emulsions, suspensions and other mixtures in various geometries provide valuable information about macroscopic and molecular properties of materials in motion. Two- and three-dimensional spin echo velocity imaging methods are used, where one or two dimensions contain spatial information and the remaining dimension or the image intensity contains the information of the displacement of the spins during an observation time. This information is used to calculate the velocity vectors and the dispersion at each position in the spatially resolved dimensions with the help of post-processing software. The range of observable velocities depends mainly on the time the spins... 

Velocity Mapping of Strongly Heterogeneous Flow Velocity Fields... 

Therefore, instead of performing one experiment with a large number of gradient steps, the entire range should be better covered by at least two experiments with a significantly smaller number of gradient steps. The first experiment has a velocity field of view that covers the entire velocity range in a small number of steps. The velocity map is not distorted but small velocities are identified as zero due to the coarse resolution. 

The spatial temperature distribution established under steady-state conditions is the result both of thermal conduction in the fluid and in the matrix material and of convective flow. Figure 2. 9.10, top row, shows temperature maps representing this combined effect in a random-site percolation cluster. The convection rolls distorted by the flow obstacles in the model object are represented by the velocity maps in Figure 2.9.10. All experimental data (left column) were recorded with the NMR methods described above, and compare well with the simulated data obtained with the aid of the FLUENT 5.5.1 [40] software package (right-hand column). Details both of the experimental set-up and the numerical simulations can be found in Ref. [8], The spatial resolution is limited by the same restrictions associated with spin... 

Fig. 2.9.10 Maps of the temperature and of the experimental data. The right-hand column convection flow velocity in a convection cell in refers to numerical simulations and is marked Rayleigh-Benard configuration (compare with with an index 2. The plots in the first row, (al) Figure 2.9.9). The medium consisted of a and (a2), are temperature maps. All other random-site percolation object of porosity maps refer to flow velocities induced by p = 0.7 filled with ethylene glycol (temperature thermal convection velocity components vx maps) or silicon oil (velocity maps). The left- (bl) and (b2) and vy (cl) and (c2), and the hand column marked with an index 1 represents velocity magnitude (dl) and (d2).

Resulting maps of the current density in a random-site percolation cluster both of the experiments and simulations are represented by Figure 2.9.13(b2) and (bl), respectively. The transport patterns compare very well. It is also possible to study hydrodynamic flow patterns in the same model objects. Corresponding velocity maps are shown in Figure 2.9.13(d) and (c2). In spite of the similarity of the... 

Fig. 2.9.13 Qu asi two-dimensional random ofthe percolation model object, (bl) Simulated site percolation cluster with a nominal porosity map of the current density magnitude relative p = 0.65. The left-hand column refers to simu- to the maximum value, j/jmaK. (b2) Expedited data and the right-hand column shows mental current density map. (cl) Simulated NMR experiments in this sample-spanning map of the velocity magnitude relative to the cluster (6x6 cm2), (al) Computer model maximum value, v/vmax. (c2) Experimental (template) for the fabrication ofthe percolation velocity map. The potential and pressure object. (a2) Proton spin density map of an gradients are aligned along the y axis, electrolyte (water + salt) filling the pore space...

A. Klemm, R. Kimmich, M. Weber 2001, (Flow through percolation clusters NMR velocity mapping and numerical simulation study), Phys. Rev. E 63, 04514. 

Fig. 4.3.6 Velocity maps and profiles at differ- mark the NMR foldbacks from the stationary ent heights of the Fano column. The dark ring fluid at the inner surface of the fluid reservoir, surrounding the pipe at z= 1.5 mm (larger In the velocity profiles, the solid curves are the white arrow) is due to a layer of stationary fluid calculated Poiseuille profiles in tube flow, adhering to the pipe exterior following the Velocity images are reprinted from Ref. [20], dipping of the pipe into the reservoir at the with permission from Elsevier, start of the experiment. The small white arrows...

Fig. 4.6.3 2D spin density images (a, c) and corresponding 2D velocity maps (b, d) along the cross section of miniaturized hemodialyzer modules of the type SMC and SPAN. The applied flow rate on the SMC module is... 

Fig. 5.1.11 MR velocity maps of a cross section through the center of a Couette cell with a 2 mm gap. The inner cylinder is rotating, (a) y component of velocity vy corresponding to the tangential direction with flow out of the plane (black) and into the plane (white).

DOPPLER-SELECTED TIME-OF-FLIGHT TECHNIQUE A VERSATILE THREE-DIMENSIONAL VELOCITY MAPPING APPROACH... 

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