Figure 6.9, which was generated using Mathcad, illustrates a comparison between the parabolic velocity profile for laminar flow (see Equation 6.88 [and Equations 6.92 and 6.93]) and the velocity...

Figure 6.9, which was generated using Mathcad, illustrates a comparison between the parabolic velocity profile for laminar flow (see Equation 6.88 [and Equations 6.92 and 6.93]) and the velocity profile for turbulent flow, which is approximated by the seventh root velocity profile law (see Equations 6.161 and 6.162) for a given average velocity, vave = 5, and pipe radius, ro = 10. (a) Compare the shape of the velocity profiles (laminar vs. turbulent) for a given average velocity, vave. (b) Compare the approach used to calculate the shear stress across the entire pipe section (laminar vs. turbulent).

Equation 6.88

Equations 6.92 and 6.93