3. Water at 20°C enters a two-dimensional, rectangular, cross-section channel of constant height h = 50 mm and width (in
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3. Water at 20°C enters a two-dimensional, rectangular, cross-section channel of constant height h = 50 mm and width (into the page) w = 200 mm with a steady, uniform velocity U = 5 m/s. The channel makes a 90° bend that distorts the flow to produce the linear velocity profile shown at the exit with Vmax 1.5Vmin = (a) Find Vmin. (b) Find the mass flow rate (kg/s) through the channel. 1+n 2 A₁ = 0,01m² V₁=U = 5m/s • QEVA = 5m/s(0.01m²) Q=0.05m³/s max B V min
(c) The general relationship for conservation of linear momentum applied to an inertial CV is ə V pdV+ +√ Vp (V-n) da = dA Ət The last term is the momentum flux. min Write an expression (an integral) for the momentum flux using the variables in the problem statement. You may simplify, but do not evaluate the integral. Write the expression for each component in the space below. -U