For laminar flow of a Newtonian fluid in a circular pipe, the velocity profile is parabolic and Eqs. (9.1-80) and (9.1-84) indicate that (⟨vz⟩)/(vmax)=0.5 In the case of a turbulent flow, experimentally determined velocity profiles can be represented in the form vz=vmax(1-(r)/(R))^1 / n where n depends on the value of the Reynolds number. Show that the ratio ⟨vz⟩/ vmax is given as (Whitaker, 1968) Re n ⟨ vz⟩ / vmax 4 × 10^3 6 0.79 1 × 10^5 7 0.82 3 × 10^6
For laminar flow of a Newtonian fluid in a circular pipe, the velocity profile is parabolic and Eqs. (9.1-80) and (9.1-84) indicate that (⟨vz⟩)/(vmax)=0.5 In the case of a turbulent flow, experimentally determined velocity profiles can be represented in the form vz=vmax(1-(r)/(R))^1 / n where n depends on the value of the Reynolds number. Show that the ratio ⟨vz⟩/ vmax is given as (Whitaker, 1968) Re n ⟨ vz⟩ / vmax 4 × 10^3 6 0.79 1 × 10^5 7 0.82 3 × 10^6
6 months ago
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