Motivated by rock-fluid interactions occurring in a geothermal reservoir, we present a two-dimensional pore scale model of a thin strip consisting of void space and grains, with fluid flow through the void space. Ions in the fluid are allowed to precipitate onto the grains, while minerals in the grains are allowed to dissolve into the fluid, taking into account the possible change in the apertu...

A mathematical model of interstitial fluid flow is developed, based on the application of the governing equations for fluid flow, i.e., the conservation laws for mass and momentum, to physiological systems containing solid tumors. The discretized form of the governing equations, with appropriate boundary conditions, is developed for a predefined tumor geometry. The interstitial fluid pressure a...

A numerical method for modeling time-dependent viscoelastic uid ow, Abstract A numerical method to solve a system of partial diierential equations (PDE), modeling time-dependent viscoelastic uid ow, is developed. The Upper Con-vected Maxwell (UCM) model, and the related Oldroyd-B and Giesekus models are used as constitutive equations, and a linear equation of state allows the uid to be slightly...

Direct numerical simulation of turbulent flow behind a cylinder, wake flow, using the random vortex method for an incompressible fluid in two dimensions is presented. In the random vortex method, the primary variable is vorticity of the flow field. After generation on the cylinder wall, it is followed in two fractional time step in a Lagrangian system of coordinates, namely convection and diffu...

This paper analyzes laminar viscous fluid flow through interstices in order to properly design the labyrinth seals and improve the volumetric efficiency of the turbomachines. The theoretical study and hydrodynamic modeling of the threedimensional flow inside the labyrinth was made using a CFD application ANSYS Fluent, on different labyrinth geometries. There were determined: the flow spectrum, ...

More than half of all hydrocarbon reservoirs are Naturally Fractured Reservoirs (NFRs), in which production forecasting is a complicated function of fluid flow in a fracture-matrix system. Modelling of fluid flow in NFRs is challenging due to formation heterogeneity and anisotropy. Stress sensitivity and depletion effect on already-complex reservoir permeability add to the sophistication. Horiz...

this paper presents a numerical simulation of developing flow and heat transfer of a viscoelastic fluid in a rectangular duct. in fully developed flow of a viscoelastic fluid in a non-circular duct, secondary flows normal to the flow direction are expected to enhance the rate of heat and mass transfer. on the other hand, properties such as viscosity, thermal conductivity, specific heat and rela...

The aim of this paper is to present a possible approach to modeling the influence of clot formation on blood flow in a vessel. The modeling framework adopted in this work is based on a modification of the fluid viscosity within the clot area. A non-Newtonian blood flow model in a three-dimensional straight vessel is considered and its numerical solution is obtained using a finite-volume method....

This work proposes an integrated numerical procedure for the shape optimization of fluid flow problems. The procedure is named integrated since it combines various distinct modules for the solution to the problem, such as: geometric modeling, mesh generation for finite elements, nonlinear analysis of the fluid flow, sensitivity analysis, mathematical programming and shape optimization. The prob...