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61 q a q r2 1 umax 2 643 0 eq 642 is of the

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Unformatted text preview: r in the Moody chart (Fig. 6.13). The fact that f drops off with increasing Red should not mislead us into thinking that shear decreases with velocity: Eq. (6.45) clearly shows that w is proportional to umax; it is interesting to note that w is independent of density because the fluid acceleration is zero. The laminar head loss follows from Eq. (6.30) hf,lam 64 L V2 Vd d 2g 32 LV gd 2 128 LQ gd 4 (6.47) We see that laminar head loss is proportional to V. EXAMPLE 6.4 An oil with 900 kg/m3 and 0.0002 m2/s flows upward through an inclined pipe as shown in Fig. E6.4. The pressure and elevation are known at sections 1 and 2, 10 m apart. Assuming d = 6 cm 2 10 m p2 = 250,000 Pa Q,V 1 40˚ p1 = 350,000 Pa, z1 = 0 E6.4 steady laminar flow, (a) verify that the flow is up, (b) compute hf between 1 and 2, and compute (c) Q, (d) V, and (e) Red. Is the flow really laminar? | v v 342 | e-Text Main Menu | Textbook Table of Contents | Study Guide 6.4 Flow in a Circular Pipe 343 Solution Part (a) For later use, calculate (900 kg/m3)(0.0002 m2/s) z2 L s...
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