Two-Phase Gas-Liquid Flow in Pipes with Different Orientations by Afshin J. Ghajar

Author:Afshin J. Ghajar
Language: eng
Format: epub
ISBN: 9783030416263
Publisher: Springer International Publishing

To calculate the distribution parameter (Co) using Eq. (4.13), the following calculations should first take place:

Referring to Table 1.​1, the two-phase quality (x) is

From Eq. (4.15), ReM = 4.35 × 104, and from the following equation for the Colebrook (1939) fanning friction factor correlation with ε/D = 1.67 × 10−4, the two-phase fanning friction factor is fM = 0.0055:

Now, with c1 = 0.2 for circular pipes and λ = 0.561 (see part 1 of this problem), the value of Co,1 from Eq. (4.14) can be determined.

To calculate UGM from Eq. (4.16), the following calculations should first take place:

From Eq. (4.17), since μL/0.001 ≤ 10 ⇒ c2 = 1

From Eqs. (4.19) and (4.18), since La = 0.124 ≥ 0.025 ⇒ c3 = 1

Now, from Eq. (4.13) for the distribution parameter (Co) and Eq. (4.16) for the drift velocity (UGM), the iterative calculations yield, Co = 1.2 and UGM = 0.088 m/s. Finally, the void fraction (αG) is calculated from Eq. (4.1) where

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