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Development of analytical equations for void fraction in biphasic systems using gamma radiation and MCNP6 code
W L Salgado1, R S F Dam1, C M Salgado1
1Instituto de Engenharia Nuclear - (IEN), Rua Hélio de Almeida 75, 21941-906, Cidade Universitária, RJ, Brazil.
Abstract:
This study presents the development of mathematical equations for calculating void fractions in pipes using gamma densitometry. A traditional measurement setup, consisting of a137Cs point source and a NaI(Tl) scintillator detector, was simulated using the Monte Carlo method via the MCNP6 code. To validate the proposed equations, water-gas biphasic models were simulated in tubes with square and cylindrical cross-sections, varying diameters, and radiation sources (241Am, 137Cs, 60Co) through gamma-ray transmission. A comparative analysis with existing equations from the literature was conducted. The void fractions, determined from the transmission photopeak, were in close agreement with the actual values. The proposed equations demonstrated a maximum mean relative error of 0.21% for cylindrical tubes in stratified and annular flow regimes.
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