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HYSYS Operations Guide

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7-40 Pipe Segment<br />

Regime Model<br />

Stratified Lockhart-Martinelli<br />

Wave Lockhart-Martinelli<br />

Hagedorn & Brown<br />

Hagedorn & Brown based their model 11 on experimental data on<br />

upward flow of air / water and air / oil mixtures. The frictional<br />

pressure drop is calculated using a friction factor derived from a<br />

single phase Moody curve using a two phase Reynolds number<br />

that reduces to the appropriate single phase Reynolds number<br />

when the flow becomes single phase. For the void fraction<br />

required to calculate the two phase Reynolds number and the<br />

static pressure loss, Hagedorn & Brown developed a single curve<br />

relating the void fraction to the same dimensionless parameters<br />

proposed by Duns & Ros.<br />

HTFS Models<br />

The two HTFS models 12, 17 share a common method for<br />

calculating the frictional pressure gradient and acceleration<br />

pressure gradient while differing in the method used to calculate<br />

static pressure gradient.<br />

The frictional pressure gradient method is adapted from that of<br />

Claxton et. al. (1972). The method first calculates the frictional<br />

pressure drop for the gas and liquid phases assuming that they<br />

are flowing alone in the pipe based on Fanning friction factors<br />

for each phase that are again calculated by assuming the fluid is<br />

flowing alone in the pipe. The frictional pressure drop is then<br />

calculated from the formula:<br />

where:<br />

∆pF<br />

∆pl<br />

∆pF<br />

= ∆pl<br />

+ Cc ( ∆pl∆pg<br />

) + ∆pg<br />

= frictional pressure drop<br />

= liquid phase pressure drop<br />

(7.12)<br />

7-40

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