Advanced Fluid Mechanics

Author: Wang Xianfu
Publisher:
Publish Date: 2004-10-01
Features:
(1) Description of physical properties of fluids and physical quantities of fluid motion
(2) Physical properties of fluids
(3) Methods for describing fluid motion
(4) Streamlines, pathlines, timelines, and streaklines
(5) Analysis of relative motion in the neighborhood of a point in the flow field
(6) Forces acting on fluids
(7) Relationship between stress tensor and strain rate tensor —— Constitutive equation
(2) Basic equations of fluid motion
(1) Systems and control volumes
(2) Reynolds transport theorem
(3) General discussion of the basic equations
(4) Differential form of the continuity equation
(5) Differential form of the momentum equation
(6) Differential form of the energy equation
(7) Integral form of the fluid mechanics equations
(8) State equation
(9) Initial and boundary conditions
(10) Theoretical models of fluid mechanics
(3) Integral relations of fluids and their applications
(1) Further simplification of the equations of motion for inviscid fluid flow
(2) Bernoulli integral and its applications
(3) Lagrange integral and its applications
(4) Continuity equation and its applications
(5) Momentum theorem and its applications
(6) Energy equation and its applications
(7) Comprehensive application of various integral relations
(4) Vortical motion of fluids
(1) Basic concepts of vortical motion and the transport equation of vorticity
(2) Transport equation of vorticity for inviscid fluids and properties of vortical motion
(3) Velocity field induced by vortices in inviscid incompressible fluids
(4) Generation, diffusion, and attenuation of vortices
(5) Irrotational motion of inviscid incompressible fluids
(1) Basic equations of irrotational motion of inviscid incompressible fluids
(2) Stream function for plane motion and spatial axisymmetric motion
(3) Complex potential for plane steady irrotational motion
(4) Complex potential representation of forces on the body in steady flow
(5) Singular point distribution method for solving plane potential flow
(6) Image method for solving plane potential flow problems
(7) Conformal mapping method for solving plane potential flow problems
III. Exam Structure
- Calculation problems: 50%
- Derivation or proof problems: 30%
- Essay and discussion questions: 20%
IV. Reference Books
1. Zhou Guangdong, Yan Zongyi, et al. (Compilers). Fluid Mechanics (Second Edition). Higher Education Press, 2000.