2.6-3. Average Velocity for Mass Balance in Turbulent Flow. For turbulent flow in a smooth, circular tube with a radius R, the velocity profile varies according to the fol- lowing expression at a Reynolds number of about 105: v=Umax R E-S where r is the radial distance from the center and max the maximum velocity at the center. Derive the equation relating the average velocity (bulk velocity) va to Umax for an incompressible fluid. (Hint: The integration can be simplified by substituting z for R-r.) A xibaoqqA mont Hygierino sdt/wisid vedi giga.adriasulsyod Ans. Vav 49 469 60 Vmax=0.817max