For Computation of fluid-solid interfaces, which is one of the most challenging classes of problems in computational engineering and sciences, has been receiving much attention in recent years. The numerical challenges include (i) accurate representation of the flow field near the interface, (ii) accurate advection of the vortices, (iii) grid generation and motion, (iv) robustness and accuracy ...

We report on localized patches of cellular hexagons observed on the surface of a magnetic fluid in a vertical magnetic field. These patches are spontaneously generated by jumping into the neighborhood of the unstable branch of the domain covering hexagons of the Rosensweig instability upon which the patches equilibrate and stabilise. They are found to co-exist in intervals of the applied magnet...

The influence of gas-surface interactions of a dilute gas confined between two parallel walls on the heat flux predictions is investigated using a combined Monte Carlo (MC) and molecular dynamics (MD) approach. The accommodation coefficients are computed from the temperature of incident and reflected molecules in molecular dynamics and used as effective coefficients in Maxwell-like boundary con...

In a rectangular region, the multilayered laminar unsteady flow and temperature distribution of immiscible Maxwell fractional fluids by two parallel moving walls are studied. The fluid occurs in presence Robin’s boundaries linear fluid-fluid interface conditions due to motion on its planes time-dependent pressure gradient. problem is defined as mathematical model which focuses memory, represent...

In 1861, Maxwell derived two of his equations of electromagnetism by modelling a magnetic line of force as a ‘molecular vortex’ in a fluid-like medium. Later, in 1980, Berry and colleagues conducted experiments on a ‘phase vortex’, a wave geometry in a fluid which is analogous to a magnetic line of force and also exhibits behaviour corresponding to the quantisation of magnetic flux. Here we uni...

This paper presents a numerical technique to approximate the Rayleigh–Stokes model for generalised Maxwell fluid formulated in Riemann–Liouville sense. The proposed method consists of two stages. First, time discretization problem is accomplished by using finite difference. Second, space obtained means predictor–corrector method. unconditional stability result and convergence analysis are analy...