The Wide World of Fluids article titled "Follow those particles,". Two photographs of four particles in a flow past a sphere are superposed as shown in Fig. P4.18. The time interval between the photos is \(\Delta t=0.002 \mathrm{~s}\). The locations of the particles, as determined from the photos, are shown in the table.

(a) Determine the fluid velocity for these particles.

(b) Plot a graph to compare the results of part (a) with the theoretical velocity, which is given by \(V=V_{0}\left(1+a^{3} / x^{3}\right)\), where \(a\) is the sphere radius and \(V_{0}\) is the fluid speed far from the sphere.

Figure P4.18

Transcribed Image Text:

Particle 1 x at t=0s (ft) x at t = 0.002s (ft) -0.500 -0.480 234 -0.250 -0.232 -0.140 -0.128 4 -0.120 -0.112