Solution of Fractional Autonomous Ordinary Differential Equations

Autonomous differential equations of fractional order and non-singular kernel are solved. While solutions can be obtained through numerical, graphical, or analytical solutions, we seek an implicit analytical solution.

Phase Change in a Misaligned Mechanical Face Seal

The combination of phase change, coning, and face misalignment in mechanical seals is studied. The seal performance is calculated using an implicit analytical solution of the thermohydrodynamic problem. It is found that phase change can be detrimental to the seal’s angular stiffness. It is also found that the boiling interface is practically axisymmetric, even at moderate face misalignment. Thus, future analyses of phase change with misalignment can be considerably simplified.