(d) Section 2 D We consider a circular duct (see adjacent figure), in which the air...

Transcribed Image Text:

(d) Section 2 D We consider a circular duct (see adjacent figure), in which the air flows with a volume flow rate Qy. The duct possesses two different sections referred as 1 (inlet) and 2 (outlet), with two different diameters, D and D2 respectively. The sections are linked with two 90 bends. A manometer of liquid column (U-shaped tube) is connected to the duct at the two previous sections. Let us note pm the density of the fluid in the manometer and Pair the density of air. We consider that the fluid is inviscid and that the flow is isovolume and steady. Numerical Data: Section 1...(a) D H Pm Pair Figure 4: Sketch of the configuration studied Pair (kg/m) Pm (kg/m) g D1 Dz H Qv (m/s) (m) (m) (m) (m/s) 1.2 900 10 0.5 0.75 4 2 (c) 1. Give the literal expression of the height h as a function of the inlet velocity, the density of both fluids as well as other geometric quantities. (d) Section 2 D We consider a circular duct (see adjacent figure), in which the air flows with a volume flow rate Qy. The duct possesses two different sections referred as 1 (inlet) and 2 (outlet), with two different diameters, D and D2 respectively. The sections are linked with two 90 bends. A manometer of liquid column (U-shaped tube) is connected to the duct at the two previous sections. Let us note pm the density of the fluid in the manometer and Pair the density of air. We consider that the fluid is inviscid and that the flow is isovolume and steady. Numerical Data: Section 1...(a) D H Pm Pair Figure 4: Sketch of the configuration studied Pair (kg/m) Pm (kg/m) g D1 Dz H Qv (m/s) (m) (m) (m) (m/s) 1.2 900 10 0.5 0.75 4 2 (c) 1. Give the literal expression of the height h as a function of the inlet velocity, the density of both fluids as well as other geometric quantities.