In this paper we prove existence, uniqueness and regularity of certain perturbed (subsonic–supersonic) transonic potential flows in a two-dimensional Riemannian manifold with “convergent–divergent” metric, which is an approximate model of the de Laval nozzle in aerodynamics. The result indicates that transonic flows obtained by quasi-one-dimensional flow model in fluid dynamics are stable with ...

this paper presents the results of numerical simulations of the laminar and turbulent flows inside diverging channels using random vortex methods (rvm). random vortex method is a mesh-free method which solves unsteady vorticity equation instead of solving navier-stokes equations directly to determine the velocity field. in this paper, the velocity potential, which is used as the initial conditi...

The dissipation mechanism of nanoscale kinetic friction between an atomic force microscopy tip and a surface of amorphous glassy polystyrene has been studied as a function of two parameters: the scanning velocity and the temperature. Superposition of the friction results using the method of reduced variables revealed the dissipative behavior as an activated relaxation process with a potential b...

Artificial potential function methods (APFMs) are a class of computationally inexpensive control methods for driving a system to a desired goal while avoiding obstacles. Although APFMs have been applied successfully to a wide range of systems since the late 1980s, these control methods do have notable drawbacks. The general suboptimality of APFM results is one of these drawbacks, which is due t...

In this study, a temperature-dependent of the dispersion coefficients is calculated from equation state.The Lennard-Jones LJ (12-6-3) effective pair potential function and simple thermodynamic argumentwith the input PVT data of liquid metals are used to calculate the dispersion coefficients. The dispersioncoefficients ( , , ) 3 6 12 C C C are found to be a linear function of 1/T1+α , where T is...