Course Description
A mathematical treatment of fluid mechanics using tensors with emphasis on viscosity, momentum balance in laminar flow, equations of change, velocity distribution in laminar and turbulent flow, interphase transport, macroscopic balance, and polymeric liquids. Analytical and numeric methods for solving fluid mechanic problems will be used.
Athena Title
Advanced Fluid Mechanics
Prerequisite
ENGR 6101 and ENGR 8101 and ENGR 8103
Semester Course Offered
Offered spring
Grading System
A - F (Traditional)
Course Objectives
To develop an understanding of the physics associated with fluid mechanics To develop skill in representing real fluid mechanic problems in mathematical terms To apply analytical and numerical methods to solve advanced problems in fluid mechanics To develop an ability to read, comprehend, and contribute to modern fluid mechanics literature
Topical Outline
Viscosity and the Mechanism of Momentum Transport Newton’s Law of Viscosity Pressure and Dependence of Viscosity Molecular Theory of the Viscosity of Gases at Low Density Molecular Theory of the Viscosity of Liquids Convective Momentum Transport Flow of a Falling Film Flow through a Circular Tube Flow through an Annulus Flow of Two Adjacent Immiscible Fluids Creeping Flow around a Sphere The Equation of Continuity The Equation of Motion The Equation of Mechanic Energy The Equation of Angular Momentum The Equations of Change in Terms of the Substantial Derivative Dimensional Analysis Time-Dependent Flow of Newtonian Fluids Solving Flow Problems using Stream Function Flow of Inviscid Fluids by Use of the Velocity Potential Flow near Solid Surface by Boundary Layer Theory Comparison of Laminar and Turbulent Flow Time-Smoothed Equations of Change for Incompressible Fluids The Time-Smoothed Velocity Profile near a Wall Empirical Expression for Turbulent Momentum Flux Turbulent Flow in Ducts Turbulent Flow in Jets Definition of Friction Factors Friction Factors for Flow in Tubes Friction Factors for Flow around Spheres Friction Factors for Packed Columns The Macroscopic Mass Balance The Macroscopic Momentum Balance The Macroscopic Angular Momentum Balance The Macroscopic Mechanical Energy Balance Estimation of the Viscous Loss Use of Macroscopic Balances for Steady-State Use of Macroscopic Balances for Unsteady-State Derivation of the Macroscopic Mechanical Energy Balance Behavior of Polymeric Liquids Rheometry and Material Functions Non-Newtonian Viscosity and the Generalized Newtonian Models Elasticity and Linear Viscoelastic Models Corotational Derivatives and the Nonlinear Viscoelastic Models Molecular Theories for Polymeric Liquids
Syllabus
Public CV