nowadays, compressible flow transmission pipelines are used in many industrial processes. pipelines in chemical processes, gas turbine power plants, natural gas transmission lines, and high pressure steam transmission pipelines are some industrial examples. therefore, learning the manner of treatment of a transient compressible fluid flow in pipelines with junctions and branches is important. i...

The complex variable boundary element method or CVBEM is a numerical technique that can provide solutions to potential value problems in two or more dimensions by the use of an approximation function that is derived from the Cauchy integral equation in complex analysis. Given the potential values (i.e. a Dirichlet problem) along the boundary, the typical problem is to use the potential function...

Fractional order partial differential equations are generalizations of classical partial differential equations. Increasingly, these models are used in applications such as fluid flow, finance and others. In this paper we examine some practical numerical methods to solve a class of initial- boundary value fractional partial differential equations with variable coefficients on a finite domain. S...

The present paper describes a tool developed in-house for the modeling of free-falling water droplet cooling processes. A two-way coupling model is employed to account interactions between droplets and carrier fluid, following Eulerian–Lagrangian approach. In addition, stochastic separated flow technique employed, involving random sampling fluctuating fluid velocity. physical modeling, two empi...

[1] During reactive fluid flow in saturated fractures, the relative rates of dissolved mineral transport and local reactions strongly influence local aperture alterations and the resulting changes in fracture permeability (or transmissivity). In the presence of an entrapped residual nonaqueous phase (e.g., CO2 or oil), the spatial distribution of the entrapped phase will influence flow and tran...

This talk presents numerical methods recently developed for complex creeping flows. A Stokes fluid is considered in interaction with moving obstacles. This fluid is non-Newtonian and its rheology depends on the fluid’s composition, this heterogeneity is transported by the flow. To solve the resulting 3D set of non-linear PDEs [6] dedicated numerical algorithms have been developed they are based...