Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic Sensors

Analytical and Numerical Investigations into Hemisphere-Shaped Electrostatic Sensors

Electrostatic sensors have been widely used in many applications due to their advantages of low cost and robustness. Their spatial sensitivity and time-frequency characteristics are two important performance parameters. In this paper, an analytical model of the induced charge on a novel hemisphere-shaped electrostatic sensor was presented to investigate its accurate sensing characteristics. Fir...

Analysis of the Dynamic Sensitivity of Hemisphere-Shaped Electrostatic Sensors’ Circular Array for Charged Particle Monitoring

Electrostatic sensor arrays (ESAs) are promising in industrial applications related to charged particle monitoring. Sensitivity is a fundamental and commonly-used sensing characteristic of an ESA. However, the usually used spatial sensitivity, which is called static sensitivity here, is not proper for moving particles or capable of reflecting array signal processing algorithms integrated in an ...

Investigations of Flow over a Hemisphere Using Numerical Simulations (postprint)

Analytical and numerical investigations of spontaneous imbibition in porous media

We present semianalytical solutions for cocurrent displacements with some degree of countercurrent flow. The solution assumes a one-dimensional horizontal displacement of two immiscible incompressible fluids with arbitrary viscosities and saturation-dependent relative permeability and capillary pressures. We address the impact of the system length on the degree of countercurrent flow when there...

Analytical and Numerical Investigations of Evolutionary Algorithms in Continuous Spaces

We investigate the biologically motivated selfreproduction strategies by numerical and analytical calculations. In the analytical part we show that each of these strategies can be reduced to an eigenvalue problem of SturmLiouville-type. The properties of the landscape and the dynamics of the optimization are encoded in the spectrum of the Hamiltonian, which is different in both cases. We discus...