Marine Hydrodynamics

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Introduction – ideal and viscous incompressible fluid; Kinematics of fluid; Lagrangian and Eulerian methods of description, velocity, acceleration, streamlines, pathlines, vorticity; Equation of continuity; Euler’s Equations of motion; Bernoulli’s equation and its application,

Two dimensional motion – velocity potential, stream function, sources, sinks, dipoles; Flow past a circular cylinder with and without circulation; Blasius Theorem; Problems on the motion of perfect fluids – steady translation of a cylinder in an infinite fluid medium, unsteady translation; added mass of cylinders; Spheres;

The vortex system-Circular Vortex, two dimensional sources and vortex distributions, Vortex Sheet, Von Karman Vortex Sheet; Lifting Surfaces, Aerofoil theory – complex potential- Method of Conformal mapping- Joukowski profile; Flow past a Joukowski profile; Velocity and pressure distribution on aerofoils;

Viscous fluids- Navier-Stokes equations, Laminar flow, Poiseuille flow, Couette flow, flow through a pipe; Boundary layer, Reynolds Number; Boundary layer along a flat plate; Blasius solution; Separation, Von Karman momentum integral method; Introduction to Turbulence;

Gravity waves; Airy’s wave; Free surface condition; Velocity potential- Dispersion relation; Surface tension effects; Orbital motion; Group velocity and its dynamical significance; Wave energy; Standing waves; Loops and nodes, Wave forces and Morison’s equation, Long waves and waves in a canal; Tides.

Course Curriculum

Mod-01 Lec-01 Introduction to Marine Hydrodynamics Details 50:48
Mod-02 Lec-02 Law of Conservation of Mass – Continuity of Equation Details 52:57
Mod-03 Lec-03 Streamlines and Flow Direction Details 53:4
Mod-04 Lec-04 Worked Examples on Various Types of Flow Details 54:54
Mod-05 Lec-05 Equation of Motion (Law of Conservation of Momentum) Details 52:11
Mod-06 Lec-06 Applications of Equations of Motion Details 53:58
Mod-06 Lec-07 Applications of Equations of Motion (Contd.) Details 52:3
Mod-07 Lec-08 Two Dimensional Flows Details 54:4
Mod-07 Lec-09 Two Dimensional Flows (Contd.) Details 53:27
Mod-08 Lec-10 Source, Sink and Doublet Details 53:35
Mod-09 Lec-11 Worked Examples on Two Dimensional Flows Details 54:32
Mod-10 Lec-12 Conformal Mapping and Joukowsky Transformation Details 53:43
Mod-11 Lec-13 Uniform Flow Past an Elliptic Cylinder Details 56:3
Mod-12 Lec-14 Aerofoil theory Details 53:6
Mod-12 Lec-15 Aerofoil theory (Contd.) Details 55:9
Mod-12 Lec-16 Aerofoil theory (Contd.) Details 55:28
Mod-13 Lec-17 Schwarz – Christoffel Transformation Details 55:18
Mod-14 Lec-18 Motion of a cylinder Details 54:1
Mod-15 Lec-19 Vertex Motion Details 56:18
Mod-16 Lec-20 Irrotational Flow – A Bird’s eyeview Details 54:12
Mod-17 Lec-21 Introduction to Water Waves Details 56:5
Mod-18 Lec-22 Basic Equation and Conditions of Water Waves Details 52:33
Mod-19 Lec-23 Water particle kinematics in wave motion Details 54:45
Mod-20 Lec-24 Capillary Gravity Waves Details 56:3
Mod-21 Lec-25 Linearised Long Wave Equation Details 55:1
Mod-21 Lec-26 Linearised Long Wave Equation (Contd.) Details 54:30
Mod-22 Lec-27 Wave motion in two layer fluids Details 55:16
Mod-23 Lec-28 Worked Examples on Wave Motion Details 54:53
Mod-23 Lec-29 Worked Examples on Wave Motion (Contd.) Details 52:13
Mod-24 Lec-30 Gravity wave transformation and energy rotation Details 54:36
Mod-24 Lec-31 Gravity wave transformation and energy rotation (Contd.) Details 55:58
Mod-24 Lec-32 Gravity wave transformation and energy rotation (Contd.) Details 54:42
Mod-25 Lec-33 Navier – Stokes equation of motion Details 55:30
Mod-26 Lec-34 Analysis of Basic Flow Problems Details 54:12
Mod-26 Lec-35 Analysis of Basic Flow Problems (Contd.) Details 55:1
Mod-27 Lec-36 Unsteady unidirectional flows Details 54:56
Mod-27 Lec-37 Unsteady unidirectional flows (Contd.) Details 54:58
Mod-28 Lec-38 An introduction to Boundary Layer Theory Details 55:36
Mod-29 Lec-39 Solution methods for Boundary Layer Equations Details 55:43
Mod-29 Lec-40 Solutions Methods for Boundary Layer Equations (Contd.) Details 52:12

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