The following data were obtained for the velocity profiles in turbulent flow at a specified point in a channel flow as a function of time. The measurements were taken 0.01 seconds apart. The velocity was reported in \(\mathrm{m} / \mathrm{s}\).

Find the mean velocity, the turbulent stress tensor (assume \(ho=1 \mathrm{~kg} / \mathrm{m}^{3}\) ), and the kinetic energy of turbulence per unit mass.

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Vx Vy Vz 3.84 0.43 0.19 3.50 0.21 0.16 3.80 0.18 0.17 3.60 0.30 0.13 4.20 0.36 0.09 4.00 0.28 0.10 3.00 0.35 0.16 3.20 0.27 0.15 3.40 0.21 0.13 3.00 0.22 0.18 3.50 0.23 0.17 4.30 0.36 0.18 3.80 0.35 0.17