Advanced Fluid Mechanics with Engineering Applications.

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This is one of the detailed (29 Hours) course on Fluid Mechanics that can provide you with advanced concepts of Fluid Mechanics that is very essential for all Precessing Engineering Fields.

This is an advanced course in Fluid Mechanics. The subject Fluid Mechanics has a wide scope and is of prime importance in several fields of engineering and science. The present course emphasizes the fundamental underlying fluid mechanical principles and the application of those principles to solve real-life problems. Special attention is given to deriving all the governing equations starting from 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 will have a strong fundamental understanding of the Principles of Fluid Mechanics and will be able to apply the Principles to analyze fluid mechanical systems.

This course is of relevance to engineers and scientists across a wide range of mechanical chemical and process industries who must understand, analyze and optimize flow processes and fluids handling problems. Applications are drawn from hydraulics, aero & hydrodynamics as well as the chemical process industries.

This Course is Specially designed for the Automobile and Aviation industries.

Lecture-1 Introduction to Fluid

Subject of Fluid Mechanics
Laws in scientific study
Engineering approach of problem solving
Fluid definition
Newton’s law of viscosity
Newtonian and Non-Newtonian fluid
Problems based on Newton’s law of Viscosity

Lecture-2 Continuity Equation

Principle of conservation of mass
Differential and Integral approach
Eulerian and Lagrangian approach
Inventory Equation
Derivation of Continuity equation-Differential approach
Conservation and Non-Conservation forms of Continuity
Material derivative
Scalar and Vector field
Acceleration field

Lecture-3 Momentum Equation

Lecture-4 Application of Navier Stokes equation

N-S equation as governing equation of fluid flow
Application of N-S equation for a steady and laminar fluid flow between two fixed infinitely long plates.
Velocity profile
Volume flow rate calculation from velocity profile
Local velocity, average velocity, maximum velocity
Calculating Reynolds Number from Velocity profile

Lecture-5 Application of Navier Stokes equation – Couette flow

Physical meaning of N-S equation
Fully developed flow
Application of N-S equation for a steady and laminar fluid flow between one fixed and one moving plate-Couette Flow
Applications of Couette flow

Lecture-6 Reynolds Transport Theorem Derivation

Control Mass (A System) and Control Volume
Lagrangian and Eulerian Approach
Extensive and Intensive property
Derivation of Reynolds Transport Theorem (RTT)
Interpretation of net flux term of RTT

Lecture-7 Reynolds Transport Theorem – Continuity Equation

Reynolds Transport Theorem (RTT)
Deriving Continuity Equation using RTT
Mass flow rate, Volume flow rate, and Average speed
Differential and Integral form of Continuity Equation

Lecture-8 RTT-Continuity Equation Numericals

Lecture-9 RTT- Linear Momentum Equation

Reynolds Transport Theorem (RTT)
Deriving Momentum Equation using RTT
Resultant Forces acting on a CV
Momentum accumulation in a CV
Momentum flow through a CV

Lecture-10 RTT- Angular Momentum Equation

Reynolds Transport Theorem (RTT)
Deriving Angular Momentum Equation using RTT
Problem based on Linear and Angular Momentum
RTT for Moving and Deforming CV

Lecture-11 Kinematics of Flow- Flow types

Lecture-12 Kinematics of Flow- Irrotational Flow

Lecture-13 Kinematics of Flow- Stream function

Visualizing velocity field-Java Applet
Visualizing velocity field- Maple
Stream function
Change in the value of stream function
Problem on stream function
Stream function in polar coordinates

Lecture-14 Kinematics of Flow- Circulation

Circulation
Relationship between Circulation and Vorticity
Stoke’s theorem
Problem on Circulation
Physical meaning of Divergence of a vector
Circulation and Divergence in Java Applet

Lecture-15 Potential Flow- Velocity potential function

Velocity Potential function, φ
Potential flow
Relationship between ψ and φ
Flow net
Velocity potential function in cylindrical coordinates
Velocity Potential function in Java Applet

Lecture-16 Potential Flow- Basic potential flows

Lecture-17 Potential Flow- Superposition of potential flows-I

Lecture-18 Potential Flow- Superposition of potential flow-II

Lecture-19 Potential Flow- Superposition of potential flow-III

Superposition of basic potential flows
Flow around a cylinder with circulation
Magnus Effect
Problem- Flow around a cylinder with circulation

Lecture-20 Turbo-machine- Fluid Machines

Fluid machines classification
Positive Displacement machines
Turbo-machines
Comparison of PDPs and Roto-dynamic pumps
Turbo-machine Classifications
Scope of Turbo-machines

Lecture-21 Turbo-machine- Euler’s Equation

Lecture-22 Turbo-machine- Blade Angles

Velocity triangle
Velocity triangle at inlet-assumptions
Effect of blade angle on head
Typical Characteristic curve of a centrifugal pump
Effect of blade angle on Characteristic curve

Lecture-23 Turbo-machine- Performance-I

Problem-Centrifugal blower
Static, Friction and System head
Pump Losses
Pump Efficiency
Pump Performance Characteristic curves

Lecture-24 Turbo-machine- Performance-II

Lecture-25 Turbo-machine- Turbine

Lecture-26 Turbo-machine- Turbine Performance

Lecture-27 Boundary layer- Concept

Classification of flows
One dimensional and multi dimensional flow
Steady and Unsteady flow
Uniform and Non-Uniform flow
Inviscid and Viscous flow
Attached and Flow separation
Laminar and Turbulent flow
Prandtl-Boundary layer concept
Growth of boundary layer thickness

Lecture-28 Boundary layer- Order Analysis over Flat plate

Order of Magnitude or Scale Analysis
Order of Magnitude Analysis over flat plate
Boundary layer thickness as a function of Reynold’s Number
Wall shear stress using Scale Analysis
Skin friction coefficient using Scale Analysis

Lecture-29 Boundary layer- Blasius solution

Laminar boundary layer on a flat plate
Blasius solution
Wall shear stress using Blasius solution
Friction coefficient using Blasius solution
Problem- Using Blasius solution

Lecture-30 Boundary layer- Turbulent flow over flat plate

Turbulent flow
Governing Equations in Turbulent flow
Boundary layer in Turbulent flow
Velocity profile in laminar and turbulent flow
Velocity distribution in turbulent boundary layer
Law of wall

Lecture-31 Boundary layer- Displacement and Momentum thickness

Disturbance or Boundary layer thickness
Displacement thickness
Displacement thickness using Blasius solution
Momentum thickness
Momentum thickness using Blasius Solution
Relative amount of displacement and momentum thickness for laminar flow over flat plate

Lecture-32 Boundary layer- Approximate solution