Advanced Fluid Mechanics & Computational Fluid Dynamics , Dive deep into Fluid Mechanics with over 29 hours of advanced engineering insights and handson CFD applications.
What you”ll learn:

Provide an introductory overview of Fluid Mechanics tailored to beginner learners, covering fundamental principles and engaging course content.

Present a comprehensive derivation and detailed explanation of the continuity equation, accompanied by illustrative examples and numerical problemsolving.

Gain a thorough understanding of the momentum equation, both in its general form and in its differential form, along with practical applications.

Explore the NavierStokes Equation, comprehending its significance and wideranging applications in fluid dynamics.

Acquire a comprehensive understanding of the Reynolds Transport Theorem, including its derivation and practical implications.

Develop a solid grasp of linear and angular momentum equations and their relevance in fluid mechanics.

Dive into a detailed examination of the kinematics of various flow types, encompassing a comprehensive exploration of their characteristics.

Explore the principles of Potential Flow and delve into the concept of superposition, including indepth discussions of its three types.

Gain insights into Turbo Machines, including the application of Euler’s Equation, analysis of blade angles, and evaluating performance factors.

Obtain indepth information about turbines, including their operational characteristics and performance evaluation.

Familiarize yourself with the core concepts of Boundary Layer, including order analysis over flat plates, turbulent flow over flat plates, the Blasius solution.

Develop an understanding of External Flow concepts, focusing on topics such as Drag Coefficient and its significance in vehicle aerodynamics.

Explore the fundamental principles of Airfoil and delve into an analysis of its performance characteristics.
 Gain a comprehensive understanding of advanced concepts in Computational Fluid Dynamics (CFD), including its applications across various industries and fields.
Description
Dive deep into the intricate world of Fluid Mechanics and experience the aweinspiring symphony of fluidic behavior that powers our natural and engineered systems. From the foundational concepts of Newton’s laws applied to fluids to the complex calculations needed for engineering problemsolving, this course offers a comprehensive understanding of fluid motion and its critical role in both natural phenomena and manmade inventions. Grasp the nuances of continuity equations, momentum conservation, and the beauty of NavierStokes’ equations, as they govern fluid flow.
Embark on a journey through the intricacies of turbomachines, exploring their classifications, working principles, and applications. Delve into the dynamics of boundary layers, from their genesis to their effect on the bodies in flow. Engage in the fascinating realm of external flow, uncovering the principles behind drag, lift, and the magnificent designs of airfoils. Finally, stands at the forefront of technological advancement with an introduction to Computational Fluid Dynamics (CFD), exploring the realm of numerical simulations that push the boundaries of engineering capabilities.
This course isn’t just about learning theories but bridging the chasm between theory and realworld application. By the end, you will not only understand the mathematics behind fluid motion but will gain a profound appreciation for its relevance in shaping the world around us. Whether you aspire to design advanced aerostructures, engineer efficient transportation systems, or merely satiate an academic curiosity, this course is a key milestone in your journey of discovery and innovation.
Reference books for this course:
 Fluid Mechanics by Yunus A. Cengel, John M. Cimbala
 Fundamentals of Fluid Mechanics, 6th Edition By Munson
COURSE OUTLINE
Lecture1 Introduction to Fluid
 The subject of Fluid Mechanics
 Laws in the scientific study
 Engineering approach of problemsolving
 Fluid definition
 Newton’s law of viscosity
 Newtonian and NonNewtonian fluid
 Problems based on Newton’s law of Viscosity
Lecture2 Continuity Equation
 Principle of conservation of mass
 Differential and Integral approach
 Eulerian and LaGrange’s approach
 Inventory Equation
 Derivation of Continuity equationDifferential approach
 Conservation and NonConservation Forms of Continuity
 Material derivative
 Scalar and Vector field
 Acceleration field
Lecture3 Momentum Equation
 Newton’s Second Law of Motion
 Body force
 Surface force
 Momentum Equation in differential form
 Stokes postulate
 NavierStokes Equation
Lecture4 Application of Navier Stokes equation
 NS equation as governing equation of fluid flow
 Application of the NS equation for a steady and laminar fluid flow between two fixed infinitely long plates.
 Velocity profile
 Volume flow rate calculation from the velocity profile
 Local velocity, average velocity, maximum velocity
 Calculating Reynolds Number from the Velocity profile
Lecture5 Application of Navier Stokes equation – Couette flow
 The physical meaning of the NS equation
 Fully developed flow
 Application of NS equation for a steady and laminar fluid flow between one fixed and one moving plateCouette Flow
 Applications of Couette flow
Lecture6 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
Lecture7 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
Lecture8 RTTContinuity Equation Numericals
 Continuity Equation in Integral Form
 Solving numerical problems using Continuity Equation
Lecture9 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
Lecture10 RTT Angular Momentum Equation
 Reynolds Transport Theorem (RTT)
 Deriving Angular Momentum Equation using RTT
 Problembased on Linear and Angular Momentum
 RTT for Moving and Deforming CV
Lecture11 Kinematics of FlowFlow Types
 Fluid Flow Visualization Classics
 Streamline
 Pathline
 Streakline
 Timeline
 Software for flow visualization (2dflowvis)
Lecture12 Kinematics of Flow Irrotational Flow
 The motion of fluid Element
 Transformation of a fluid element
 Angular velocity vector
 Vorticity Vector
 Irrotational flow field
Lecture13 Kinematics of Flow Stream function
 Visualizing velocity fieldJava Applet
 Visualizing velocity field Maple
 Stream function
 Change in the value of the stream function
 Problem with the stream function
 Stream function in polar coordinates
Lecture14 Kinematics of Flow Circulation
 Circulation
 Relationship between Circulation and Vorticity
 Stoke’s theorem
 Problem on Circulation
 The physical meaning of Divergence of a vector
 Circulation and Divergence in Java Applet
Lecture15 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
Lecture16 Potential Flow Basic potential flows
 Uniform flow
 Source and Sink flow
 Vortex flow
 Stream function and Velocity potential function for basic flows
Lecture17 Potential Flow Superposition of potential flowsI
 Superposition of basic potential flows
 Doublet
 Half body
Lecture18 Potential Flow Superposition of Potential flowII
 Flow around a cylinder
 Flow around a cylinderVelocity and pressure distribution
 Flow around a cylinderDrag and Lift
 Rankine body
 Problem with Rankine Body
Lecture19 Potential Flow Superposition of Potential flowIII
 Superposition of basic potential flows
 Flow around a cylinder with circulation
 Magnus Effect
 Problem Flow around a cylinder with circulation
Lecture20 Turbomachine Fluid Machines
 Fluid machines classification
 Positive Displacement machines
 Turbomachines
 Comparison of PDPs and Rotodynamic pumps
 Turbomachine Classifications
 Scope of Turbomachines
Lecture21 Turbomachine Euler’s Equation
 Onedimensional flow through an impeller
 Velocity triangle
 Euler’s equation of turbomachine
Lecture22 Turbomachine Blade Angles
 Velocity triangle
 Velocity triangle at inletassumptions
 Effect of blade angle on the head
 Typical Characteristic curve of a centrifugal pump
 Effect of blade angle on Characteristic curve
Lecture23 Turbomachine PerformanceI
 ProblemCentrifugal blower
 Static, Friction, and System head
 Pump Losses
 Pump Efficiency
 Pump Performance Characteristic curves
Lecture24 Turbomachine PerformanceII
 Pump System Curve
 Pumps in Series and Parallel
 Pump Affinity laws
 Pump specific speed
Lecture25 Turbomachine Turbine
 Turbine
 Schematics of hydraulic turbines
 Velocity triangles of Turbine
 Impulse Turbine
 Reaction Turbine
 Degree of Reaction
Lecture26 Turbomachine Turbine Performance
 Pump and Turbine Efficiencies
 General Energy Equation
 ProblemTurbine
 Affinity laws for Turbine
 Turbine specific speed
Lecture27 Boundary layer Concept
 Classification of flows
 Onedimensional and multidimensional flow
 Steady and Unsteady flow
 Uniform and NonUniform flow
 Inviscid and Viscous flow
 Attached and Flow Separation
 Laminar and Turbulent flow
 PrandtlBoundary layer concept
 Growth of boundary layer thickness
Lecture28 Boundary Layer Order Analysis over Flat Plate
 Order of Magnitude or Scale Analysis
 Order of Magnitude Analysis over a flat plate
 Boundary layer thickness as a function of Reynold’s Number
 Wall shear stress using Scale Analysis
 Skin friction coefficient using Scale Analysis
Lecture29 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’s solution
Lecture30 Boundary layer turbulent flow over a flat plate
 Turbulent flow
 Governing Equations in Turbulent Flow
 Boundary layer in turbulent flow
 The velocity profile in laminar and turbulent flow
 Velocity distribution in the turbulent boundary layer
 Law of wall
Lecture31 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
 The relative amount of displacement and momentum thickness for laminar flow over a flat plate
Lecture32 Boundary layer Approximate solution
 Control Volume analysis for Boundary layer
 Von Karman Solution
 Von Karman Integral equation
 An approximate solution to Laminar boundary layer over a flat plate
Lecture33 Boundary layer Skin Friction Coefficient
 Friction Coefficient for laminar boundary layer
 Local and Average skin friction coefficient
 Friction Coefficient for Turbulent boundary layer
 Friction Coefficient for Mixed boundary layer
 Problem Mixed boundary layer over a flat plate
Lecture 34 Introduction to EESParametric and plotting
Lecture35 External flow Introduction
 External flow Application
 Forces and Moments on arbitrary shape body
 External Flow over a flat plate and cylinder
 External flow Low and High Reynolds’s Number flows
 Introduction to Open channel flow
 External flow characteristics
Lecture36 External FlowDrag and Lift
 The resultant force on a body
 Drag and lift Forces
 Drag Coefficient
 ProblemDrag coefficient
 Pressure and Shear stress distribution
Lecture37 External flow Drag Coefficient1
 Drag and Lift ForcesAlternate Method
 The drag coefficient for slender bodies
 ProblemDrag coefficient
 Factors affecting drag coefficient
Lecture38 External flow Drag Coefficient2
 The drag coefficient for common geometries
 Drafting
 Fairing
 Drag reduction in nature
 Drag reduction in other applications
 Experimental measurement of drag coefficient
Lecture39 External flow Drag in Vehicles
 Drag Coefficient of carsHistory
 Drag and Rolling Resistance on a Vehicle
 Power required to drive a vehicle
 ProblemPowerDrag and Rolling Resistance
 Drag Reduction in Vehicles
Lecture40 External FlowIntroduction to Airfoil
 What is Airfoil?
 Airfoil types
 Airfoil Nomenclature
 Aircraft terminologies
 AirfoilPotential flow theory
 Minimum Flight Velocity
Lecture41 External FlowAirfoil Performance
 Lift and Drag on Airfoil
 AirfoilBoundary layer theory
 AirfoilFlow separation
 Effect of angle of attack
 Performance of different Aerofoil
 Airfoil with flap
 Airfoil at different Mach Number
Lecture42 CFD Introduction
 What is CFD?
 CFD Scope and Applications
 Role of CFD in Engineering
 How CFD works
 Practical Steps of Solving Problems in CFD
Lecture43 CFD Finite Difference Method
 Numerical Techniques
 Finite difference Method
 Forward, Backward and Central Difference
 Mixed Derivatives
 Problem Finite Difference Method
 Solving problems in CFD using ANSYSCFX
Lecture 44 CFDGeometry and Mesh
Lecture 45 CFDPreSolver Solution Post Process (CFX)
Unlock the secrets of the fluid world and propel your understanding to new heights. Enroll today and embark on an unparalleled journey into the heart of Fluid Mechanics!