Speed versus time relation

Figure 4-88. Speed versus time relation during expander high-speed coupling failure.

Curves based on power consumption versus time and speed of agitation are shown in Figure 2.75. The values of power input related to the volume of a mix (specific power input) as a function of speed and time of agitation are presented in Table 2.18. 

Because we now have the potential seen by the molecules as a function of both position and time, we can solve the equation of motion numerically for any molecule, synchronous or not. Let us define N to be the minimum number of stages required to stop the synchronous molecule of mass M and initial speed Mq, through the relation Wo = MUq/(2N). Figure 15.15 shows the result of such a calculation for the case where L = 2/3D, d = 1/15D, and N = 80, and the turn-on and turn-off points are A and B in Figure 15.14b. The thick red line shows the speed of the synchronous molecule versus time, while the thin blue line shows how the speed changes with time for a molecule that has the same initial speed as the synchronous molecule but starts out ahead by D/15. The deceleration of the synchronous molecule appears to... 

One of the earliest attempts to quantify coalescence frequencies was the work of Howarth (1967). A procedure was used that is similar to the one described in Section 12-3.1.5. A steady dispersion was established at a high agitation rate. The stirrer speed was then lowered so that only coalescence occurred, at least initially. Howarth defined a global or macroscopic coalescence frequency as the initial slope of a plot of interfacial area (related to d32> versus time and demonstrated that systematic experiments could be conducted to determine the effect of various system variables on coalescence rate. Since the coalescence frequency depends strongly on drop diameter, most models are based on the approach discussed below. 

In which vehicle speeds in the space x and y are defined by the first derivative of the flat outputs. The variation of the angle versus time is determined by relating the components of the vehicle s speed by the Equation (6). 

---