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 volume flow rate of $0\mathrm{.}0250$ m$3/$s through a horizontal diffuser in which the pipe diameter increases gradually from D$1=6\mathrm{.}00$ to D$2=11\mathrm{.}00$ cm$.$ The irreversible head loss through the diffuser is estimated to be $0\mathrm{.}42$ m$.$ The flow is turbulent, and the kinetic energy correction factors at both the inlet and the outlet of the diffuser are assumed to be $1\mathrm{.}05.$

It may be surprising that the answer to part $($a$)$ is positive, i$.$e$.,$ the pressure rises downstream. How is this possible? Explain by calculating the change in energy grade line $\backslash$Delta EGL and the change in hydraulic grade line $\backslash$Delta HGL from the upstream to the downstream location. In particular, does EGL go up or down, and does HGL go up or down?

The change in energy grade line $\backslash$Delta EGL is calculated to be m$.$

The change in energy grade line $\backslash$Delta HGL is calculated to be m$.$