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- W754752221 abstract "The problem of thermal explosion of a single sodium droplet is essential because of its extensive use as a coolant in the design of nuclear reactor facilities. Most of the problems arising from ignition or thermal explosion of liquid single sodium droplet are based on constant reaction rate and thermal conductivity respectively. The present study extends the previous problem to account for generic reaction rate and variable thermal conductivity with convective and radiative heat losses. The generic reaction rate and thermal conductivity are varied as non-linear functions of temperature, whereas the contribution of thermal radiation is based on the P-1 approximation for thermal radiation transfer. An extension of existing models is obtained which is non-linear initial value problem. The differential equation is not open to analytical solution due to its non-linearity and so we investigate its behaviour numerically, using a finite difference procedure based on a small step-size. Parametric studies are performed to investigate significant effects of thermo-physical parameters on critical temperature and explosion time of the single droplet for typical reaction rates such as Sensitized, Arrhenius and Bimolecular reaction rates. The results display via tables and graphs show that the inclusion variable thermal conductivity and heat loss mechanism cause significant delays in the explosion time and reduces the critical temperature whereas contribution of generic reaction rates allows study on sensitized and bimolecular reaction rates which were not considered in the previous studies." @default.
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- W754752221 date "2015-01-01" @default.
- W754752221 modified "2023-09-28" @default.
- W754752221 title "Numerical Modelling of Thermal Explosion of a Single Sodium Droplet with Generic Reaction Rate and Variable Thermal Conductivity" @default.
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