Velocity vector plot

M 31] [P 28] Velocity vector plots show the separation of the boundary layer before and after approaching the static mixing element [71]. Backflow occurs in the separation region. By this unsteady reattachment of the flow, new interfaces are constantly generated, when the flow has to pass a series of such mixing elements. 

Pressure drop plots - intensity of segregation and velocity vector plots... 

Figure 5. Three-dimensionsal simulation for 800 /jm particles with a viscosity input model in the IIT slurry bubble column with a 5 cm width (a) instantaneous particle velocity vector plots and solid volume fractions (color bar) at 25 s, and (b) time-averaged particle velocity at the center (c) near the wall from 15 to 36 5. (Fi=2.02cm/s, VG=3,37cm/s)...

Figure 15. Spherical bubble. The streamlines and the velocity vectors at steady-state in a coordinate system moving with the bubble centroid for (a) a clean bubble and (b) a contaminated bubble. Every third grid points are used in the velocity vector plots (Eo = 1 and Mo = 0.1).

To obtain a clearer picture of the switching mechanism, a more detailed flow field is required. Figure 9 shows the evolution of the droplet from t = 1.4063 to f = 1.7813 with all the velocity vectors plotted. For the present case, the secondary flow induced by the thermocapillary forces is much stronger. The induced secondary flow of a circulatory nature (as in the case of Ma = 40)... 

Figure 6.3 Velocity-vector plot for the three-dimensional Newtonian case (a) in the plant of the impeller blade plane (b) between blades.

The model can be used to explore a range of situations and to examine the flow patterns to see in what way more uniform temperatures can be achieved. Figure 6.3 shows a velocity vector plot for a Newtonian fluid in the plane of an impeller blade when the agitator is operating at 1 rps. To show the spatial variation, a similar plot is also shown for an intermediate plane. A two-dimensional model predicts a flow pattern similar to the between-blades section. Figures 6.4 and 6.5 show temperature distribution and viscosity... 

Velocity vector plot obtained from 3D CFD simulations for a air-water system in the flat bottom digester with different draft tube diameters (a) D/T(draft tube diameter to tank diameter) = 0.21 (b) D/T = 0.5. 

FIGURE 12.4 Velocity Vector Plots for a Range of Liquid Hydrogen Mass Flow Rates and Channel Dimensions. The solution evaluates C am and Cturb for a 325 x 2300 Dutch Twill Screen for Liquid Hydrogen. 

FIGURE 14.6 Velocity Vector Plots at Increasing Screen Exposure Percentages (LowerTank Fill Levels) for a 325 x 2300 Liquid Acquisition Device Screen and Channel in Liquid Hydrogen at a Demand Flow Rate of 0.01 kg/s. Color represents magnitude of velocity. 

Fig. 5. Phase resolved plots of velocity vector field and turbulent kinetic energy in a plane 15° behind an impeller blade (obtained by sampling data only when the measuring point is at the specified position with respect to the impeller blades). Not all vectors have been plotted for clarity. Reproduced with permission from Hartmann et al. (2004a).

A representative time sequence of four PIV/LIF-derived velocity vector distributions together with the SIT-derived bubble shadows is plotted in Figure 16 as a typical result obtained by the PIV/LIF/SIT system. Note that even with LIF technique used, there are also "white-out" regions (intensity saturation), and the laser sheet entering from the... 

The vx(y) velocity profiles for Regions III and IVare shown in Fig. 10.45. Using Eq. 10.2-43, we can compute the whole velocity field and plot the velocity vector field. However, we must recall that the model assumed the lubrication approximation and neglected all acceleration and inertia effects. 

The resulting contours of the stream lines, a close-up of a vector plot near the top cover plate and the profile of radial velocity at the inner edge of the catalyst bed (Profile C, Figure 10-15) all show us that these last-named proposed changes would have many benefits. The main ones are ... 

A commonly used graphical visualization of the flow field is through plots of velocity vectors. An example, also taken from the simulation described in the following section, is shown in Fig. 6. The velocity vectors point in the direction of the fluid flow where... 

We think of t as time, x as the position of an imaginary particle moving along the real line, and x as the velocity of that particle. Then the differential equation x = sin x represents a vector field on the line it dictates the velocity vector X at each x. To sketch the vector field, it is convenient to plot x versus x, and then draw arrows o n the x-axis to indicate the corresponding velocity vector at each X. The arrows point to the right when x > 0 and to the left when x < 0. 

Fig. 10.16. Simulation of a chemical reactive mixture, (a) Instantaneous fields of the solids volume fraction and the particle velocity vectors after 50 seconds, (b) Contour plot of an instantaneous dry H2 mole fraction field during start up of the process, 5 seconds after the reactants enter the column and 10 seconds after the start up of the flow. The consistent gas velocity vector field is given in the same plot.

Step 7 Solve the problem (press = ). The degrees of freedom are displayed in the bottom window, 4657. To get a general idea of the flow, choose an arrow plot (see Figure 10.2/ ), which show the velocity vectors. Then choose a flow plot, which shows the streamlines (Fig. 10.2c). 

Figure 14 Degeneracy-summed GP and NGP differential cross sections for the H + D2 (v = 0, j = 0) - DH (v = 0, j ) + D reaction as a function of j and of the scattering angle between the direction of the initial center-of-mass H atom velocity vector and the final center-of-mass D atom velocity vector. (This is the supplement of the usual scattering angle, and has been chosen to facilitate comparison with experiment.) The total energy is = 1.481 eV and the initial relative collision energy is lr = 1.290 eV. The curves labeled total are the sums of these DCSs over all j and have been multiplied by 0.2 before plotting. (From Ref. 47.)...

Fig. 1.24. Annual cycle of the Yellow Sea wind. Wind stress (heavy vectors, plotted at the spatial resolution (2.0°) of the data), model predicted vertically averaged residual velocity (thin vectors, interpolated to a 0.25° grid for display purposes in this and subsequent figmes), and the associated stream function (increasing from white to black in 0.05 Sv increments, circulation arormd local minima is anticyclonic). (a) January (b) March (c) May (d) July (e) September (f) November (Naimie et al., 2001) (With permission from Elsevier s Copyright Clearance Center)...

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