Question

Liquid saline flows steadily along the duct in Figure 1, which is part of an infusion set. The duct has constant cross-sectional area Ao-18 mm. The fluid velocity at the inlet section is Vo 0.35 m/s. A drug is added to the saline through a side port connected to the main duct at an angle θ 45°. The cross-sectional area of the side access is A1-10 mm2 and the drug is injected with velocity V,-0.8 m/s. The drug has the same density as the saline (p-1000 Kg/m). The two streams mix in a turbulent manner, so that the resulting mixture, of equal density, acquires a uniform speed V2 downstream of the mixing region a. Identify all the relevant variables of the problem, choose a reference system and select an appropriate control volume. (5 points) b. Write appropriate conservation laws for mass and linear momentum. Justify your assumptions to get full credit. (5 points) Calculate the mass flow rate (in g/s) and the fluid velocity (in m/s) at the outlet section of the duct. (10 points) c. d. Calculate the pressure drop Po - P2 (in Pa). Neglect the surface pressure at section 1. (10 points) r1) Figure 1. Mixing section of an infusion therapy set.

Answer 1

Anng- Giyeno m3 uolume. オーナー 9 2b dm CS JAo.ma\s crervodon a momentum Cint4) conv erft on 吭啈janýャケがー Cy

OP 2 2.