Positive Periodic Solution for Pipe/Tank Flow Configurations with Friction

Abstract

In this article, we study a periodic boundary value problem related to valveless pumping. The valveless pumping is described by the unidirectional flow of liquid in a system. We establish some conditions for globally asymptotic stability and the existence of a positive periodic solution to the considered equation. Finally, a numerical example shows that the theoretical results in this paper are feasible.

Keywords

• valveless pumping
• positive periodic solution
• existence
• stability