Question

A diffuser in a pipe flow is basically a slow expansion of the pipe diameter, which slows down the fluid velocity and increases the pressure (the Bernoulli effect). Water at room temperature flows with a flowrate of 0.025 m³/s through a horizontal diffuser in which the pipe diameter increases gradually from D₁ = 6 to D₂ = 11 cm. The irreversible head loss through the diffuser is estimated to be 0.45 m. The flow is turbulent, and the kinetic energy correction factors at both the inlet and outlet of the diffuser are assumed to be 1.05. (a) Calculate the pressure difference P₂ - P₁ in units kPa. (b) Calculate the change in energy grade line (AEGL) and the change in hydraulic grade line (AHGL). Does EGL go up or down? Does HGL go up or down? (c) Conceptual question: How would the EGL and HGL lines look if we had no losses in our system?

          A diffuser in a pipe flow is basically a slow expansion of the pipe diameter, which slows down the fluid velocity and increases the pressure (the Bernoulli effect). Water at room temperature flows with a flowrate of 0.025 m³/s through a horizontal diffuser in which the pipe diameter increases gradually from D₁ = 6 to D₂ = 11 cm. The irreversible head loss through the diffuser is estimated to be 0.45 m. The flow is turbulent, and the kinetic energy correction factors at both the inlet and outlet of the diffuser are assumed to be 1.05.

(a) Calculate the pressure difference P₂ - P₁ in units kPa.
(b) Calculate the change in energy grade line (AEGL) and the change in hydraulic grade line (AHGL). Does EGL go up or down? Does HGL go up or down?
(c) Conceptual question: How would the EGL and HGL lines look if we had no losses in our system?

Added by Zachary L.

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