Logo ČVUT
CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

Mathematical models of flow of incompressible fluids

Login to KOS for course enrollment Display time-table
Code Completion Credits Range Language
D01MMPT_EN ZK 2P English
Garant předmětu:
Petr Kučera
Lecturer:
Petr Kučera
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

The aim of the subject is to derive mathematical models of steady and nonsteady flow of incompressible fluids. Course contents: Vector and tenzor calculus, function spaces (Lebesque and Sobolev spaces), some known theorems of integral calculus that will be applied to derive mathematical models (Green's theorem, Stokes theorem, Gauss-Ostrograph's theorem), continuum and its kinematics, tenzor of small deformations, tenzor of velocity of deformation, Eulerian and Lagrangian description of motion, Reynolds transport theorem, the volume forces, the surface forces, the stress tenzor and its properties, constitutive equations, Stokesian fluids, basic types of Stokesian fluids: ideal fluid, Newtonian fluid, the pressure, the dynamic stress tensor, mathematical models of flow of incompressible fluid, formulation of boundary value problems for steady and nonsteady flow of incompressible fluid.

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:
Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-05-22
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet6270106.html