Course Overview

Course Synopsis

This course is a survey of principal concepts and methods of advanced fluid dynamics, and emphasizes fundamental concepts and problemsolving techniques. Topics to be covered include fluid properties, fluid statics, fluid kinematics, control volume analysis, dimensional analysis, internal flows (pipe flows), differential analysis (including approximations such as creeping flow, potential flow, and boundary layers), and external flows (lift and drag); use of differential and finite control volume analysis with continuity, momentum, and energy equations, You will acquire an understanding of the essential theoretical basis of the fluid mechanic sciences and their application to a range of problems of relevance to practical engineering.

Course Learning Outcomes

On successful completion of this course students will be able to:
 Demonstrate their understanding of the basic principles of static and fluid systems.
 Explain the fundamental properties of fluids, including viscosity, Newtonian and NonNewtonian rheology, and viscoelasticity.
 Grasp the basic ideas of turbulence and knowledge of laminar and turbulent boundary layer fundamentals.
 Understand the dynamics of fluid flows and the governing nondimensional parameters.
 State the conservation principles of mass, linear momentum, and energy for fluid flow

Course Calendar

Introduction, Examples of Fluid Dynamics(continued)  1    Examples and Application of Fluid Dynamics, Basic Concepts, Pressure and Fluid Statics, Fluid Kinematics, Mass, Bernoulli and Energy Equations  2    Momentum , Differential and Dimensional Analysis, Flow in Pipes,NavierStokes Equation, Drag and Lift, Advanced Fluid Dynamics  3    What is a Fluid? Application Areas of Fluid Mechanics, NoSlip Condition  4    Brief History , Classification of Fluid Flow, Internal vs. External Regions of Flow  5    Compressible vs Incompressible Flow,Laminar vs Turbulent Flow, Steady vs Unsteady Flow  6    One, Two, and ThreeDimensional Flows, System and Control Volume,Importance of Dimensions and Units  7    Accuracy, Precision and Significant Digits, Fluid Properties, Continuum,Density and Specific Gravity  8    Vapor Pressure & Cavitation, Viscosity  9    Surface Tension & Capillary Effect,Pressure and Stress ,Variation of Pressure with Depth,  10    Use of Pascal Law,The Manometer, The Barometer & Atmospheric Pressure, Buoyancy & Stability,Stability of Immersed and Floating Bodies  11     ASSIGNMENT #1    Fluid Kinematics, Lagrangian And Eulerian Descriptions,Eulerian Description,  12    Acceleration Field, Acceleration Field and Material Derivatives, Flow Visualization,Streamlines, Pathlines  13    Streaklines and Comparison,Timelines,Plot of Data,Kinematic Description, Rate of Translation & Rotation, Shear Strain Rate  14    Kinematics, Eulerian Descriptions, Steady TwoDimensional Velocity Field, Acceleration Field  15    Examples of Acceleration Field, Material Derivative and its Examples  16    Vorticity and Rotationabilty,Comparison of Two Circular Flows, Reynolds Transport Theorem  17     ASSIGNMENT #2    Application of Leibnitz Theorem,Exercises/Examples  18    Exercises/Examples,Objectives, Conservation of Mass  19    Mass, Bernoulli , Energy Equations,Linear Momentum Equation, Mass and Volume Flow Rates,  20    Bernoulli Equation,Derivation of Bernoulli Equation, Force Balance across Streamlines  21    Static, Dynamic, and Stagnation Pressures, Limitations on the Use of the Bernoulli Equation, Hydraulic Grade Line and Energy Grade Line  22     SPECIAL ASSIGNMENT    Applications of Bernoulli’s Principle(continued)  23    Applications of Bernoulli’s Principe, Newton’s Laws of Motion(continued)  24    Newton’s Laws of Motion, Forces Acting on a Control Volume(continued)  25    Forces Acting on a Control Volume,The Linear Momentum Equations, MomentumFlux Correction Factor  26    Flow with No External Forces(continued)  27    Flow with No External Forces, Rotational Motion and Angular Momentum,The Angular Momentum Equation  28    The Angular Momentum Equation, Radial Flow Devices, Summary ,Dimensional Analysis Background  29    Dimensional Analysis, Dimensions and Units, Dimensional Homogeneity, non Dimensionalisation of Equations, Dimensional Variables  30     ASSIGNMENT #3    Nondimensional (or dimensionless) variables, Examples of Non Dimensionalisation of Equations  31    Dimensional Analysis and Similarity,Similarity between Model and Protype car,Nondimensionalization of Equations  32    Buckingham Pi Theorem,Differential Analysis of Fluid Flow:Prelimineries  33    Derivative of Temperature, Total Derivative,Continuity Equation its Objectives, its Derivation using Divergence Theorem  34    Derivation of The Continuity Equation Using an Infinitesimal Control Volume, its alternative forms,in Cylindrical Coordinates,its Special Cases, Examples of Application of Continuity Equation  35    Examples of Application of Continuity Equation  36    The Stream Function in Cartesian and Polar Coordinates, Compressible Stream Function, Cauchy’s Equations, Derivation using Divergence Theorem,Infinitesimal Control Volume  37    Cauchy’s Equations, Derivation using Newton’s Second Law,Navier–Stokes Equation, Newtonian and NonNewtonian Fluids,Derivation of the Navier–Stokes Equation for Incompressible, Isothermal Flow  38    Continuity and Navier–Stokes Equation in Cylindrical Coordinates,Calculation of the Pressure Field for a Known Velocity Field and in Cylindrical Coordinates  39     ASSIGNMENT #4    Exact Solutions of the Continuity and Navier–Stokes Equations for Fully Developed Couette Flow  40    Couette Flow with an Applied Pressure Gradient, Example of Exact Solutions of the Continuity and Navier–Stokes Equations: Fully Developed Couette Flow  41    Fully Developed Flow In a Round Pipe– Poiseuile’s flow and Sudden Motion of an Infinite Plate  42    Differential Analysis of Biofluid Mechanics Flows and Fully Developed Flow in a Round Pipe with a Simple Blood Viscosity Model, Boundary Layer, Boundary Layer Thickness  43    Boundary Layer Scaling of NavierStokes Equations, Laminar Viscous Flow : Exact Solution, Flow on an Infinite Plate, Flow Between Coaxial Cylinder (Circular Couette Flow), Steady Flow Through a Cylindrical Pipe (HagenPoiseuille Flow)  44    Flow in the Entrance Region of aCircular Pipe, Nonsteady Unidirectional Flow, Impulsive Motion of an Infinite Plate, Harmonic Oscillation of an Infinite Plate,Ekman Layer Problem, Motion Produced due to a Vortex Filament, Flow Past a Rigid Sphere  45     FINAL TERM EXAMINATION   



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