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Get Full Access to Fluid Mechanics - 2 Edition - Chapter 6 - Problem 42p
Get Full Access to Fluid Mechanics - 2 Edition - Chapter 6 - Problem 42p

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# Solved: An incompressible fluid of density ? and viscosity

ISBN: 9780071284219 39

## Solution for problem 42P Chapter 6

Fluid Mechanics | 2nd Edition

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Problem 42P

An incompressible fluid of density ρ and viscosity μ flows through a curved duct that turns the flow through angle θ. 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. P6-45. (a) Write an expression for the horizontal force Fx 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: θ =135°, ρ = 998.2 kg/m3, μ = 1.003 × 10−3 kg/m  s, A1, = 0.025 m2, A2 = 0.050 m2, β1 = 1.01, β2 = 1.03, V1 = 10 m/s, Pl,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 maximized?

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