No |
Units |
Titles |
Sub Titles |
Chapters |

1 |
Unit 1 |
Viscous Effects on Fluid Motion |
Laminar Flow and N,S, Equations:
Equation of Motion for Real Fluids- Modifications in Equation of Motion- Stress Strain Relationships -Tangential Stress Terms- Development of Navier-Stokes Equations - Solution of N,S, equations for standard cases of Plane two Dimensional and Axisymmetric Flows |
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| |
NA |
Plane Twodimensional Flows:
Steady Flow between Parallel Plates- Couette and Poiseuille Flows- Unsteady laminar Flow Past a Flat Plate |
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| |
NA |
Axi- symmetric Flows:
Flow through a Circular Annulus- Flow without and with Pressure Gradient- Hagen- Poiseullie Equation, Relationship between Friction factor and Reynolds Number for Laminar Flow through Pipes |
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| |
NA |
Special Cases of Viscous Flow:
a) Laminar Flow between Co-axial Cylinders, b) Hydrodynamic Lubrication and c) Low Reynolds Number Flow Around a Sphere |
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| |
NA |
Turbulent Flow and its Characteristics:
Transition from Laminar to Turbulent Flow- Critical Reynolds Number-Stability Parameter- Characteristics of Turbulent Flow -Mean and Fluctuating Components of Velocity - Quantitative Description of Turbulence - Statistical Nature of Turbulent Flow- Isotropic and Homogeneous Turbulence |
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| |
NA |
Analysis of Turbulent Flows:
Turbulence Modelling - Semi-empirical Theories -Boussinesq Eddy Viscosity Model, Prandtl Mixing Length Concept, Karman Similarity Hypothesis - Basic Concepts related to the following Governing Equations of Turbulent motion - (i) Continuity Equation, (ii) Reynolds Equations - Reynolds Stress Tensor |
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2 |
Unit 2 |
Boundary Layer Theory |
Boundary Layer Analysis:
Theory of Boundary Layer - Characteristics of Laminar Boundary Layer - Boundary Layer Growth over a Flat Plate (without pressure gradient) - Laminar and Turbulent Boundary Layers, Boundary Layer Thickness and its Characteristics- Displacement, Momentum and Energy Thickness |
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| |
NA |
Hydrodynamically Smooth and Rough Boundaries:
Velocity Distributions for Turbulent Flow in Pipes- Hydrodynamically Smooth and Rough Flows-Velocity Defect Law- Von Karmans Universal Law for Mean Velocity near Smooth and Rough Boundaries- Relationship between Mean Velocity and Maximim Velocity |
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| |
NA |
Resistance of Commercial Pipes:
Friction Factor for Pipe Flows- Dependence on Reynolds Number and Relative Roughness- Resistance of Commercial Pipes- Moody s Diagram- Simple Pipeline Design Problems |
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| |
NA |
Viscous Drag and Boundary Layer Separation:
Karman Momentum Integral Equation- Viscous drag, Boundary, Layer Separation- Mechanism of Separation -Control of B,L, Separation |
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3 |
Unit 3 |
Drag, Lift and Propulsion |
Concepts of Drag and Pressure Distribution over Immersed Bodies:
Drag and Lift- Deformation Drag, Friction Drag, Form Drag- Drag coefficient,
Distribution of Fluid Pressure on immersed bodies - Pressure Distribution for flow past a circular disk, sphere- Effects of eddy pattern in two dimensional flow - Distribution of pressure for two dimensional flow past a cylinder - Von Karman vortex trail- Eddy shedding, Drag of immersed bodies - Variation of Drag Coefficient with Reynolds Number, Drag on Cylinder -Resistance diagram for bodies of revolution- Drag Coefficient of Practical Bodies |
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| |
NA |
Lift and Propulsion Effect of Circulation in Irrotational Flow: Generation of Lift around a Cylinder- Magnus Effect- Computation of Lift Force- Lift on Airfoil- Lift Coefficient and its Variation with Angle of Attack- Jukowsky Profile- Polar Diagram- Stall - Induced Drag |
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4 |
Unit 4 |
Open Channel Flows - I |
Basic Concepts: Introduction, Classification of Open Channels- Classification of Flow, Channel Geometry - Geometric Elements of a Channel Section, Velocity Distribution in a Channel Section - Wide Open Channel - Measurement of Velocity - Velocity Distribution Coefficients - Pressure Distribution in a Channel Section - Effect of Slope on Pressure Distribution, Basic Equations - Chezy s Equation - Manning s Equation |
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| |
NA |
Uniform Flow in Rigid and Mobile Boundary Channels:
Uniform Flow Computation- Conveyance of a Channel Section - Section Factor and Hydraulic Exponent, Flow Characteristics in a Closed Conduit with Open Channel Flow, Determination of Normal Depth and Velocity, Design of Channels for Uniform Flow - Design of Nonerodible Channels -Best Hydraulic Section - Determination of Section Dimensions for Uniform Flow for Uniform Flow - Most Economical Channel Sections- Rectangular, Trapezoidal, Circular and Triangular Channel Sections - Critical Flow -Computation of Critical Flow - Section Factor for Critical Flow |
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| |
NA |
Design of Channels for Uniform Flow:
Design of Channel Sections for Non-erodible channels -Design of Erodible Channels- Critical Velocity and Critical Tractive Force Concepts |
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| |
NA |
Application of Energy Principle in Open channels:
Definition of Specific Energy, Conjugate or Alternate Depths- Sub-critical, Critical and Super-critical Flows- Froude Number- Specific Energy Diagram, Critical depth, Relationship between Critical depth and Specific Energy for Rectangular, Trapezoidal Sections |
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| |
NA |
Application of Momentum Principle in Open channels:
Specific Force- Sequent Depths- Hydraulic Jump in Rectangular Horizontal Channels- Loss of Energy due to Hydraulic Jump- Types of Jumps and their features |
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| |
NA |
Canal Transitions and Control Sections:
Canal Transitions- Change of Depth in Channels with (a) Change in Cross-section and (b) Hump in the Bed- Control Sections- Venturi Flume and Parshall Flume |
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5 |
Unit 5 |
Varied Flow in Open Channels |
Analysis and computation of G,V,F,:
Definition of G,V,F, and Derivation of Governing Equation- Mild, Steep, Critical, Horizontal and Adverse Slopes- Classification of G,V,F, Profiles- Backwater and Drawdown Curves- G,V,F, Profiles for Channels with Changing Slopes, Computation of G,V,F, Profiles- Graphical Integration Method and method of Direct Integration (Procedures Only), Direct Step and Standard Step Methods - Computation of G,V,F, Profiles in rectangular channels using Direct and Single Step methods (Simple Slope cases only) |
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| |
NA |
Practical Problems in G,V,F, and Rapidly Varied Flow:
Two Lake (Reservoir) Problems - Delivery of a canal for sub-critical flow -
Delivery of a canal for supercritical flow: Rapidly Varied Flow - Hydraulic jump - Types of jump - Hydraulic jump in horizontal rectangular Channels - Hydraulic jump in sloping rectangular channels |
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| |
NA |
Spatially Varied Flow:
Basic principles and assumptions - Dynamic equation for spatially Varied Flow for Flows with increasing and decreasing discharges-Analysis of Flow Profile for i) Rectangular lateral-spillway channel with free- overfall without losses and ii) Rectangular channel of small sloe with a bottom rack |
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