CE 2200 Chapter : Lect 24
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Sizing problem (successive substitution: given hf , q, l, , (=ks), find d, in this case, we have three unknowns, v , f and d. thus, we need three equations. Darcy equation, and the moody diagram, i. e. (cid:1)(cid:2)(cid:3) (cid:6)(cid:6)(cid:6) = (cid:3) (cid:2) (cid:5) (cid:1) (cid:1)(cid:4)(cid:3) (cid:6)(cid:6)(cid:6) = (cid:1) (cid:2) (cid:3)(cid:6)(cid:7) (cid:4) (cid:4)(cid:5) (cid:2) (cid:6)(cid:7) (cid:4) Determine the size of clean wrought iron pipe required to convey 252. 4 l/s of oil, =9. 29 10 6 m2/s, for 3048 m with a head loss of 22. 9 m. assume = 0. 0457 mm. Solution: = constant; flow is steady and velocity distribution is uniform; no minor losses, equations: Moody diagram (re, ks /d: known variables: q = 0. 2524 m3/s, g = 9. 81 m/s2, = 9. 29 . 10 6 m2/s, = 0. 0457 mm, hf = 22. 9 m, l=3048 m: assume f = 0. 02 we get v = 1. 77 m/s from (7) and d = 0. 426 m. furthermore, we have.
