Numerical indices for quantification of hydrogen mixing and deflagration potential in the nuclear reactor containment

• Four indices for mixing and deflagration potential of H2 distributions are presented.
• Theoretical basis and significance are explained through illustrations.
• The influence of steam condensation on H2 distributions is studied numerically.
• The indices depict the rate of mixing and changes in deflagration potential.
• Results show that the indices can give useful integral information for comparison.

Studies on hydrogen distribution in the nuclear reactor containment and the effect of a distribution on subsequent combustion are important to nuclear safety. Contour plots, concentration profiles and ternary diagrams are routinely used to represent a distribution. The significance to safety has to be qualitatively inferred from these representations. Thus, there is a need to quantify distributions in terms of gross parameters that are important to safety. In the present study, four numerical indices are developed to obtain quantitative information on the mixing and deflagration potential of a distribution of hydrogen, steam and air. Two indices, namely, Average mole fraction and Non-uniformity index can be used to give the state of mixing of hydrogen in an enclosure at any instant of time. Similarly, the other two indices, namely, deflagration volume fraction and deflagration pressure ratio can be used to indicate the relative size of combustible cloud and the expected pressure rise in case of deflagration in the cloud at any instant of time. The significance and utility of the indices are brought forth through simple illustrations and numerical studies on the influence of steam condensation on hydrogen distributions. The indices depict the rate of mixing and changes in deflagration potential for the situations considered. Results form the simple studies show that the indices can give useful integral information for comparison of mixing and mitigation measures deployed in the nuclear reactor containment.