Solving the nonlinear equations for one-dimensional nano-sized model including Rydberg and Varshni potentials and Casimir force using the decomposition method

The Adomian decomposition method has been applied to solve the nonlinear equations from the one-dimensional model for a nano-sized-oscillator. The model includes Rydberg and Varshni potentials as well as Casimir force with fractional damping. New approximate solution of the equations of motion for anharmonic vibrations of a nano-sized oscillator with the elastic force deriving from the Rydberg and Varshni potentials has been obtained.     

Adhesion and interfacial interactions of BaO–SiO<Subscript>2</Subscript>–B<Subscript>2</Subscript>O<Subscript>3</Subscript>-based glass-ceramic seals and AISI430 interconnect for solid oxide fuel cell applications

In the present work, adhesion, leak rate, and chemical compatibility of a series of borosilicate-based glasses, belonging to the ternary BaO–SiO₂–B₂O₃ system, with AISI 430 alloys as interconnect were investigated for solid oxide fuel cell applications. Wetting angle and deformation behavior of the selected glasses with temperature and time were initially characterized with the hot-stage microscope. It was observed that the temperature ranges of wetting for all combinations were greater than 1000 °C. Significant deformation did not appear in the samples over soaking time at sealing temperature. In the next step, the leakage tests of AISI430/glass-ceramic couples were performed. The sample containing 32 % molar BaO (Ba32) had no gas leakage; a low leak rate of 10^?7to 10^?8 Pam³ s^?1 was obtained for the glass with 37 % molar BaO (Ba37) and big leak of the system (10^?3to 10^?4 Pam³ s^?1) for Ba42. Possible interfacial reactions between the as-received glass and cell ingredients and aging up to 100 h were studied by scanning electron microscopy in conjunction with energy-dispersive X-ray spectroscopy and X-ray dot mapping. The results showed that the Ba32 and Ba37 glasses coupled with AISI had fine adhesion, which remained stable under these conditions and were compatible with the interconnect. So, the use of these glass-ceramics will probably be successful in joining the ceramic electrolytes to the metallic interconnect.