Suspending a rectangular vessel partially filled with an inviscid fluid from a single rigid pivoting rod produces an interesting physical model for investigating the dynamic coupling between the fluid and vessel motion. The fluid motion is governed by the Euler equations relative to the moving frame of the vessel, and the vessel motion is given by a modified forced pendulum equation. The fully ...

Nonlinear vibration of a fluid-filled single walled carbon nanotube (SWCNT) with simply supported ends is investigated in this paper based on Von-Karman’s geometric nonlinearity and the simplified Donnell’s shell theory. The effects of the small scales are considered by using the nonlocal theory and the Galerkin's procedure is used to discretize partial differential equations of the governing i...

The rate at which fluid drains from a collapsing channel or crack depends on the interaction between the elastic properties of the solid and the fluid flow. The same interaction controls the rate at which a pressurized fluid can flow into a crack. In this paper, we present an analysis for the interaction between the viscous flow and the elastic field associated with an expanding or collapsing f...

A novel computational fluid dynamics and molecular kinetic theory (CFD-MK) method was developed to simulate the impingement of a nanodroplet onto a solid surface. A numerical solution of the Navier–Stokes equation using a volume-of-fluid (VOF) technique was used to model nanodroplet deformation. Dynamic contact angle during droplet impact was obtained by molecular kinetic theory. This dynamic c...

In this paper, we study the scalar conjugation problem, which models problem of small oscillations two viscoelastic fluids filling a fixed vessel. An initial-boundary value is investigated and theorem on its unique solvability positive semiaxis proven with semigroup theory methods. The spectral that arises in case for normal system studied by methods operator functions (operator pencils). resul...

the liquid metal flow and the solidification behaviours in a multi-cavity casting mould of two automotive cast parts were simulated in three dimensions. the commercial code, flow-3d® was used because it can track the front of the molten metal by a volume of fluid (vof) method and allows complicated parts to be modeled by the fractional area/volume obstacle representation (favor) method. the gre...

Partially filled liquid-carrying tanks have been used in many engineering applications, such as ships, vehicle fuel tanks, rockets, and drink or petroleum tankers. Liquid sloshing is an exciting phenomenon that researchers are investigating because of its complex behavior specifications. In this study, the responses a prismatic tank with approximate volume automobile under different laterally h...

a novel computational fluid dynamics and molecular kinetic theory (cfd-mk) method was developed to simulate the impingement of a nanodroplet onto a solid surface. a numerical solution of the navier–stokes equation using a volume-of-fluid (vof) technique was used to model nanodroplet deformation. dynamic contact angle during droplet impact was obtained by molecular kinetic theory. this dynamic c...

The present paper introduces the sloshing effects on aeroelastic stability and response of flying wing configurations. Using reduced order model based data provided by computational fluid dynamics data, description slosh is introduced into an integrated modelling that accounts for both rigid elastic behaviour flexible aircraft. fully unsteady aerodynamics, modelled in frequency domain via doubl...