Question

Roman aqueduct customers obtained extra water by atta in d user to ther p pe exits he ure exit. The pipe entrance is sharp-edged. For water at 20°C, take ? : 998 kg/m3 and-0001 kg/m-s. ven e o s o s a simulation a smoot inlet i e it or without a conical d user exp n in t as c meter D2-5 cm 2 m Di = 3 cm, L = 2 m 15° diffuser References eBook & Resources Section Break Difficulty Harc value: 076 points Required information Calculate the flow rate without the difruser. Round the answer to five decimal places. The flow rate is m31s Hints References Book & Resources Hot#1 alue 0.76 points Required information Calculate the low rate with the dittuser. Round the answer to tive decimal places. For the given flow, take Kditfuser0.2 The tlow rate is m3/s

Answer 1

H_2 k_entry v^2/2g h_2 = 0.5 v^2/2g h_0 = 2m h_1 = v_0 = 0 Apply bernouts equation b/w (0) & (1) +_0/sigma g + v_0^2/2g +h_0 = p_1/sigma g + h_1 + h_2 0 + 0 + 2 = 0 + 1.5 (v_1^2/2g) + 0 v_1 = squareroot4g/1.5 = 5.115 males therefore flow rak without different user Q_1 = A_1 V_1 Q_1 = present illness4 (3 times 10^-2)^2 (5.115) Q_1 = 0.0036m^3/s now flow rate with the diffuser k = (1 - (D_1/D_2)^2)^2/(D_1/D_2)^4 =[1 - (0.6)^2]^2/(0.6)^4 = 3.16 v_2 = squareroot 4g/4.66 = 2.9 males Q_2 = A_2 v_2 = pi/(5 times 10^-2)^2 (2.9) = 0.0057m^3/s