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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