The mean velocity is assumed to follow the relation given by: V = f(u, D, v, l. d, n)=a(u) (D) (v)(1) (d)e(n)f where a and all the indices are pure numbers. Find dimensionless groups and their relation for the flow by using dimensional analysis. a pipeline and for the measurement of their flow friction as a function of flow rate. shows governing variables for the flow of fibers suspended in water through Table 1. Governing variables for the flow of fiber suspensions. Governing variables Symbols Units m/s] m/s m Mean Velocity Friction Velocity Inner diameter of pipeline Kinematic viscosity of the fluid (water) Fiber length Fiber Diameter Fiber Number Density V u D V 1 d 11 m/s m m 1/m Dimensions L/t L/t L L/t L L 1/L