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6-47 An incompressible fluid of density p and viscosity flows through a curved duct that turns the flow through angle 0. The cross-sectional area
6-47 An incompressible fluid of density p and viscosity flows through a curved duct that turns the flow through angle 0. The cross-sectional area also changes. The average velocity, momentum flux correction factor, gage pressure, and area are known at the inlet (1) and outlet (2), as in Fig. P6-47. (a) Write an expression for the horizontal force F, of the fluid on the walls of the duct in terms of the given variables. (b) Verify your expression by plugging in the following values: 0 =135, p = 998.2 kg/m, = 1.003 10- kg/m-s, A = 0.025 m, A = 0.050 m, B = 1.01, B = 1.03, V = 6 m/s, P1.gage 78.47 kPa, and P2.gage = 65.23 kPa. (Hint: You will first need to solve for V2.) (c) At what turning angle is the force maxi- mized? Answers: (b) Fx = 5500 N to the right, (c) 180 V Pl.gage A V2, B2, P2.gage A2 FIGURE P6-47
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