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- W2984789970 abstract "• Constant volume axisymmetric film shapes in between two vertically touching spheres are derived from Young-Laplace equation and by energy minimization, the stability of the film is found out. • With increasing volume of stable equilibrium films, the top contact line radius first increases and then decreases due to gravity. • Below the geometric limit of the system, there exists a stability limit beyond which liquid becomes unstable due to gravitational force. • The maximum volume of static liquid holdup is a strong function of contact angle and Bond number of the system but independent of local geometry. Static liquid holdup is one of the important parameters in packed bed operations. Packed bed can be fundamentally imagined as an aggregate of two-sphere contacts and liquid is potentially held at the contact points. Between two vertical spheres, existing literature report maximum volume of films either as the geometric limit while solving Young-Laplace equation or the stability limit of static liquid holdup in the presence of asymmetric perturbation. However, it is of fundamental interest to find out the maximum limit of stability of the liquid without any asymmetric perturbation. This work shows a limit, below the geometrical limit of the system, beyond which liquid cannot be stable due to the gravitational force. Axisymmetric film shapes of a given volume, derived using Young- Laplace equation with different boundary conditions, are tested with total energy minimization principle to define the stability limit. Further, a correlation for maximum static liquid holdup is reported with respect to a modified Bond number." @default.
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- W2984789970 date "2020-02-01" @default.
- W2984789970 modified "2023-09-24" @default.
- W2984789970 title "Shape and maximum volume of static holdup in between two vertical spheres: A modeling study" @default.
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- W2984789970 doi "https://doi.org/10.1016/j.ces.2019.115332" @default.
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