东南大学高等流体力学教学大纲(5)

东南大学高等流体力学教学大纲

behavior of liquids and gases at rest or in motion. It is the base of the courses of Heat Transfer and Combustion. Through study the course of Advanced Fluid Mechanics; students should master the principle of fluid flow, the basic equations of fluid mechanics, boundary layer characteristics, special turbulent flow, turbulence model, numerical simulation of fluid flow etc.

II. Teaching Syllabus (including the content of chapters and sections. A sheet can be

attached):

Ch.1 Fundamental properties of fluid flow

Introduction, viscous fluid and ideal fluid, compressible fluid and incompressible fluid, stress tensor, introduction to tensor, generalized Newton’s frictional law

Ch.2 Basic equations of fluid mechanics

Continual equation, momentum equation, energy equation, initial condition and boundary condition, some basic properties of viscous fluid flow

Ch3. Solutions of fluid equations under some special conditions

Discussion for the solutions of fluid equations, fully developed steady flow in pipes, steady flow in two plates, steady flow in rotative cylinders, unsteady flow with movement boundary

Ch.4 Boundary layer differential equation and its similar solution

Basic concepts of boundary layer, two dimensional boundary layer differential equation, thickness of three kinds boundaries, separation of boundary, similar solution of two dimensional boundary layer differential equation, Falkner-Skan solution of fluid flow

Ch.5 Two dimensional boundary layer equation and its integral solution

Momentum integral equation in boundary, velocity section with single parameter, Pohlhausen solving method with single parameter, Holstein method, Thwaites method Ch.6 basic theory of turbulent flow

Basic concepts of turbulent flow, fundamental equation of turbulent flow (equation of continuity, equation of motion, Reynolds stress, equation of average kinetic energy, equation of turbulent kinetic energy), statistical theory of turbulent flow (scalar correlation-moment, energy spectrum analysis, energy cascade and vortex ascending, local isotropy hypothesis and -5/3 powder law of turbulent energy spectrum), closeness of turbulent statistic equation. Ch.7 turbulence model

Spart-Alpla single equation model, k-ε two equations model (standard k-ε model, RNG k-ε model and k-ε model with swirl modified), Reynolds stress model, large eddy simulation model (standard k-ε model, shear stress transfer SST k-ε model), application range in engineering of different turbulent model.

Ch.8 the typical turbulent flow

Turbulent flow on flat wall, free shears turbulent flows, turbulent flow in pipe. Ch.9 fundamental of two-phase flow

Definition and classify of two-phase flow, the main parameter and fundamental equation of two-phase flow, the developing situation and engineering application of two-phase and multi-phase flow.

Ch.10 Numerical simulation of fluid flow

Tpical applications of numerical simulation to fluid flow;Difference method, finite unit method, SIMPLEC method; simulation on engineering turbulence

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