MCL702: ADVANCED FLUID MECHANICS

Lecture Notes

Syllabus & References

Introduction : ADVANCED FLUID MECHANICS

PEDAGOGY OF ADVANCED FLUID MECHANICS

Field Nature of Fluid Mechanics

Field Mathematics for Fluid Mechanics

Vector & Tensor Analysis for Fluid Mechanics

Vector & Fluid Flows Described by Vector Calculus

Vector & Classification of Fluid Flows using Vector Calculus

How to Generate A Force in A Fluid Flow

Mathematical Description of The Connection between the primary cause (Velocity Field) and ultimate effect (Force)

Development of Conservation Equations for A CV

Reynolds Transport Theorem for Fluid Flows

Role of Surface Forces in Fluid Flow

Construction of Navier-Stokes Equations

Study of Navier-Stokes Equations

N-S Equations in Einstein Notation

Study of Euler equation

Two Important Solutions of Euler Equation

Second Class of Simple Flows

Reynoldification of N-S Equations

Analysis of Creeping Flows

Stokes Solutions to Low Reynolds Number Flows

Interaction of Fluid flow with Solid walls

Pressure-driven Steady Pipe/Duct Flows

Analysis of Perceivable (Non-Creeping) Fluid flows

Analysis of Boundary Layer flows

Analysis of Flat Plate Boundary Layer flows

The Stability of Laminar Flows

Analysis of Turbulent (Infected by Disturbance) Flows

Modeling of Turbulent Flows

Research Articles

The Development of FLuid Mechanics in 20th Century

Field Theory of Fluid Mechanics

Five Births of N-S Equations

Einstein Notation