Fluid Mechanics seventh edition by Frank M. White · Problem 6.3

Viscous Flow in Ducts — Frank M. White

Physics — Fluid Mechanics · laminar-pipe-flow

Problem

An oil with ρ=900\rho = 900 kg/m3^3 and ν=0.0002\nu = 0.0002 m2^2/s flows upward through an inclined pipe as shown in Fig. E6.3. The pressure and elevation are known at sections 1 and 2, 10 m apart. Assuming steady laminar flow, (a) verify that the flow is up, (b) compute hfh_f between 1 and 2, and compute (c) QQ, (d) VV, and (e) Red\text{Re}_d. Is the flow really laminar? Given: d=6d = 6 cm, pipe inclined at 40°, p1=350,000p_1 = 350{,}000 Pa at z1=0z_1 = 0, p2=250,000p_2 = 250{,}000 Pa at section 2.

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