Sökning: "Stokes equation"
Visar resultat 1 - 5 av 84 avhandlingar innehållade orden Stokes equation.
1. Analytical vortex solutions to Navier-Stokes equation
Sammanfattning : Fluid dynamics considers the physics of liquids and gases. This is a branch of classical physics and is totally based on Newton's laws of motion. Nevertheless, the equation of fluid motion, Navier-Stokes equation, becomes very complicated to solve even for very simple configurations. LÄS MER
2. Homogenization of some new mathematical models in lubrication theory
Sammanfattning : We consider mathematical modeling of thin film flow between two rough surfaces which are in relative motion. For example such flows take place in different kinds of bearings and gears when a lubricant is used to reduce friction and wear between the surfaces. LÄS MER
3. Finite element procedures for virtual tribology
Sammanfattning : The main purpose of this thesis is to use modern goal-oriented adap- tive finite element techniques in order to improve the numerical simulation of tribology. Two novel adaptive finite element methods for the Reynolds thin film model, and Stokes model including cavitation are presented and their different strategies are compared. LÄS MER
4. Initial-Boundary-Value Problems for the Stokes and Navier–Stokes Equations on Staggered Grids
Sammanfattning : In the first part of the thesis various types of boundary conditions for the steady state Stokes equations are considered. We formulate the boundary conditions in a new way, such that the boundary value problem becomes non-singular, and derive estimates of the solution. LÄS MER
5. Stress, Flow and Particle Transport in Rock Fractures
Sammanfattning : The fluid flow and tracer transport in a single rock fracture during shear processes has been an important issue in rock mechanics and is investigated in this thesis using Finite Element Method (FEM) and streamline particle tracking method, considering evolutions of aperture and transmissivity with shear displacement histories under different normal stresses, based on laboratory tests. The distributions of fracture aperture and its evolution during shear were calculated from the initial aperture fields, based on the laser-scanned surface roughness features of replicas of rock fracture specimens, and shear dilations measured during the coupled shear-flow-tracer tests in laboratory performed using a newly developed testing apparatus in Nagasaki University, Nagasaki, Japan. LÄS MER