Sphere moving through a fluid

Dimensional Analysis of a Solid Sphere Moving through a Fluid... 

Table 5.7a. The parameters of a sphere moving through a fluid...

Let s summarize to this point our analysis of a sphere moving through a fluid. We combined six parameters to form three dimensionless groups. What is the functional relationship between these groups That is, what is the function / such that... 

Figure 5.14. Data for a sphere moving through a fluid, plotted for Froude numbers of 0.02, 0.2, 2, and 20, 10%.

Figure 5.17. Correlation for a sphere moving through a fluid. (Adapted from Bird, R. B., Stewart, W. E., and Lightfoot, E. N. 1960. Transport Phenomena, Fig. 6.3-1.)...

Heat transfer from a solid sphere moving through a fluid is characterized by three dimensionless numbers the Nusselt number (Nu), the Reynolds number (Re), and the Prandtl number (Pr), defined as... 

Experimental data often span many orders of magnitude. An example is the friction factor of a sphere moving through a fluid as a function of the Reynolds number, as discussed in Chapter 5. Some typical data for laminar flow are presented in Table D.l. 

Stokes s law predicts the terminal velocity of a sphere moved through a fluid by gravity, given the sphere s diameter (D) and density (p), the viscosity of the fluid (/jl), and the gravitational acceleration (g),... 

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