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(a) Estimate the flowrate on the upstream side of the screen (Fig. 5.66). (b) Assume the max velocity (near the walls) on the downstream side

(a) Estimate the flowrate on the upstream side of the screen (Fig. 5.66).

(b) Assume the max velocity (near the walls) on the downstream side is Vmax. Write a formula for v(r) in terms of r and Vmax.

(c) Then estimate the total flowrate in terms of Vmax and R.

(d) Equate the upstream and downstream flowrates and find the average velocity on the downstream side.

(e) Use the velocity profile formula from (b), and estimate for this region.

(f) Write the momentum equation using the , and estimate the force on the screen. Use the given pressures as the pressures along the two boundaries of your control volume.

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Variable mesh screen D = 2 tt Section (1) P = 0.2 psi V = 100 ft/s Section (2) P2 = 0.15 psi Variable mesh screen D = 2 tt Section (1) P = 0.2 psi V = 100 ft/s Section (2) P2 = 0.15 psi

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