Advanced Concepts in Fluid Mechanics

This is a course which deals with advanced concepts in Fluid Mechanics. The subject Fluid Mechanics has a wide scope and is of prime importance in several fields of engineering and science. Present courseemphasizes the fundamental underlying fluid mechanical principles and application of those principles to solve real life problems. Special attention is given towards deriving all the governing equations startingfrom the fundamental principle. There is a well-balanced coverage of physical concepts, mathematical operations along with examples and exercise problems of practical importance. After completion of the course, the students willhave a strong fundamental understanding of the basic principles of Fluid Mechanics and will be able to apply the basic principles to analyze fluid mechanical systems.
INTENDED AUDIENCE: UG & PG students of Metallurgy, Nano Science & Nanotechnology, Chemical Engg, Chemistry, Electronics, Electrical, Physics, and Material Science etc. R&D personnel in industries
PREREQUISITES: Basic knowledge of Engineering MathematicsINDUSTRY SUPPORT: Oil Companies (IOCL, SHELL, BPCL and others), Automobile and Aviation companies (GE, AIRBUS, TATA Motors and others)

COURSE LAYOUT

Week 1: Essential Mathematical FoundationsWeek 2: Kinematics of Fluid FlowsWeek 3: Dynamics of Inviscid FlowsWeek 4: Potential FlowsWeek 5: Integral forms of Conservation Equations: Reynolds Transport TheoremWeek 6: Dynamics of Viscous Flows: Derivation of Navier-Stokes EquationWeek 7: Exact Solutions of Navier-Stokes Equations for Fully Developed Laminar Flows and some Unsteady FlowsWeek 8: Laminar Boundary LayersWeek 9: Instability; Introduction to TurbulenceWeek 10: Turbulence (contd.); Fluid flow about Immersed bodiesWeek 11: Geophysical Fluid DynamicsWeek 12: Creeping Flows; Microscale Fluid Flows