A twosegment stepped tube that is supported by a stand is pl

A two-segment stepped tube that is supported by a stand is placed is a free stream of airflow (velocity v_AIR), as shown below. The inlet segment has radius RIN and length L, the outlet segment has radius R_OUT and length L. Air enters the tube on the right with constant velocity v_AIR across the inlet cross-sectional area. Air exits the tube on the left with a parabolic velocity profile V_CL(R_OUT^2 - r^2)/R_OUT^2, where v_CL is maximal centerline velocity. Pressure is atmospheric at both the inlet and the outlet. The airflow that passes over the outside of the tube applies shear stress x to the outsides of both segments of the tube and applies pressure P to tube shoulder. What is the centerline velocity v_CL of the tube outflow on the left? Using the control volume indicated by the dashed line above, derive an expression for the z-component of the force F_T rightarrow S that the tube applies to the stand.

Solution

The answer of following question is .

While solving the problem i got the answer is 45