Restrictions on the analytic approach of unconstrained melting inside a spherical capsule

Abstract

Analytic solutions are very important for providing physical insight and a basis for the examination of numerical and experimental results. However, analytic approaches are subject to extensive assumptions, so they cannot explain the complex phenomena involved with unconstrained melting. On the discharging conditions in real Thermal energy storage (TES) systems, such as capsule size, wall temperature and capsule materials, the assumptions used in the analytic solutions of unconstrained melting inside a spherical capsule are closely examined by comparing them with numerical solutions. Numerical approaches are more practical to implement all these complex behaviors, thus are used as the basis in the comparison after thorough validation. The restrictions on low Stefan number and low Rayleigh number of existing analytic solutions are addressed.

In Vitro Biological Performance of Alginate Hydrogel Capsules for Stem Cell Delivery

“…Cell encapsulation or any other method of in vitro tridimensional structure like organoids and spheroids can also benefit cell interaction, favoring cell signaling and expression of pluripotency genes when compared to cells injected in suspension after trypsinization of bidimensional culture systems (Hong et al, 2015;Zhou et al, 2017;Vikram Singh et al, 2018). Once encapsulated, cells can be released either by migration or due to dissolution of the biomaterial in the environment (Lee and Mooney, 2012).…”