A variable mesh screen produces a linear and axisymmetric velocity profile as indicated in Fig. P5.66 in the airflow through a 2 -ft-diameter circular cross-sectional duct. The static pressures upstream and downstream of the screen are 0.2 and \(0.15 \mathrm{psi}\) and are uniformly distributed over the flow cross-sectional area. Neglecting the force exerted by the duct wall on the flowing air, calculate the screen drag force.

Figure P5.66

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