objective: in this article, a numerical study is conducted on mixing of two fluids in the liquid phase with two different concentrations of a chemical species in the electro-osmotic flow. methods: the base liquid is an electrolyte which flows in a two-dimensional micro-channel having electrically charged walls. lorentz electric force, which is used as stimulating flow factor, is created by appl...

Objective: In this article, a numerical study is conducted on mixing of two fluids in the liquid phase with two different concentrations of a chemical species in the electro-osmotic flow. Methods: The base liquid is an electrolyte which flows in a two-dimensional micro-channel having electrically charged walls. Lorentz electric force, which is used as stimulating flow factor, is created by appl...

Objective: In this article, a numerical study is conducted on mixing of two fluids in the liquid phase with two different concentrations of a chemical species in the electro-osmotic flow. Methods: The base liquid is an electrolyte which flows in a two-dimensional micro-channel having electrically charged walls. Lorentz electric force, which is used as stimulating flow factor, is created by appl...

In many safety-critical control systems, possibly opposing safety restrictions and performance objectives arise. To confront such a conflict, this letter proposes novel methodology that embeds into stability of systems. The development enforces by means barrier functions used in optimization through the construction states (BaS) which are embedded system's model. As result, as long equilibrium ...

Certified safe control is a growing challenge in robotics, especially when performance and safety objectives must be concurrently achieved. In this work, we extend the barrier state (BaS) concept, recently proposed for stabilization of continuous time systems, to embedded trajectory optimization discrete systems using states (DBaS). The constructed DBaS into model safety-critical system integra...

We present a barrier method for treating frictional contact on interfaces embedded in finite elements. The treatment has several attractive features, including: (i) it does not introduce any additional degrees of freedom or iterative steps, (ii) is free inter-penetration, (iii) avoids an ill-conditioned matrix system, and (iv) allows one to control the solution accuracy directly. derive pressur...

The spectrum of a double well constructed of a square barrier embedded in an infinite well is analyzed. Level statistics for levels slightly above the barrier show signs of Wigner statistics usually associated with quantum chaos. The correspondence with Wigner statistics improves when an ensemble of systems with slightly different barrier heights is taken, possibly reflecting an adiabatic time-...