This paper presents a generalised and efficient wall boundary treatment in the smoothed particle hydrodynamics (SPH) method for 3-D complex arbitrary geometries with single- multi-phase flows to be executed on graphics processing units (GPUs). Using force balance between fluid particles novel penalty method, pressure condition is applied dummy which effectively prevents non-physical penetration...

The non-orthogonal boundary-fitted coordinate transformation method is applied to the solution of steady three-dimensional momentum and energy equations in laminar flow to obtain temperature field and Nusselt numbers in the thermal entry region of straight ducts of different cross sectional geometries. The conservation equations originally written in Cartesian coordinates are parabolized in the...

A lattice Boltzmann method for a three dimensional lid driven cavity of cubic and parallelipedic geometries is developed on a desktop computer; No-slip boundary conditions are implemented by the so called Bounce back boundry conditions and the Dirichlet boundary condition for the upper moving wall is treated by the Zou/He boundary condition. The lattice Boltzmann simulation is carried out using...

Molecular dynamics (MD) simulation is used to study slip at the fluid-solid boundary in an unsteady flow based on the Stokes’ second problem. An increase in slip is observed in comparison to the steady flow for shear rates below the critical shear rate of the corresponding steady flow. This increased slip is attributed to fluid inertial forces not represented in a steady flow. An unsteady mathe...

A new finite volume algorithm has been developed to solve a variety of flows by using large eddy simulation and direct numerical simulation. This finite volume algorithm was developed using a dual time stepping approach with a preconditioning technique and a new factorization implementation. The method takes the advantage of pressure-based and density-based meth­ ods. Thus, it provides an effic...

Deposits can affect the in-furnace wall surface temperature in a Kraft recovery furnace. In CFD (Computational Fluid Dynamics) models of the Kraft recovery furnace, the wall surface temperature is frequently used as the heat-transfer boundary condition. Therefore, the effect of deposits must be taken into account in CFD models. In this work, CFD simulations of a Kraft recovery furnace were perf...

Because of its kinetic nature and computational advantages, the Lattice Boltzmann method (LBM) has been well accepted as a useful tool to simulate micro-scale flows. The slip boundary model plays a crucial role in the accuracy of solutions for micro-channel flow simulations. The most used slip boundary condition is the Maxwell slip model. The results of Maxwell slip model are affected by the ac...

mathematical model is developed for the time-dependent circular tube flow of compressible olymeric liquids subject to pressure-dependent slip at the wall and applied to a poly dimethyl iloxane PDMS . The parameters of pressure-dependent wall slip velocity and shear viscosity of he PDMS were determined using combinations of small-amplitude oscillatory shear, steady orsional and squeeze flows and...