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Course

# Marine Hydrodynamics

Indian Institute of Technology Kharagpur

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 sheets; 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 Theory-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 details:

The course content consists of five modules. Each module will have approximately 8-10 lectures. Apart from the basic theory large number of problems will be worked out to illustrate the utility of the theory. There will be couple of problems at the end of each lecture/module as home work. A brief outline of the modules is as below:

• 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.
Home > Engineering > Ocean Engineering > Marine HydrodynamicsLectures:
• ### Mod-01 Lec-01 Introduction to Marine Hydrodynamics

00:50:48Dr. T. Sahoo
• ### Mod-02 Lec-02 Law of Conservation of Mass - Continuity of Equation

00:52:57Dr. T. Sahoo
• ### Mod-03 Lec-03 Streamlines and Flow Direction

00:53:04Dr. T. Sahoo
• ### Mod-04 Lec-04 Worked Examples on Various Types of Flow

00:54:54Dr. T. Sahoo
• ### Mod-05 Lec-05 Equation of Motion (Law of Conservation of Momentum)

00:52:11Dr. T. Sahoo
• ### Mod-06 Lec-06 Applications of Equations of Motion

00:53:58Dr. T. Sahoo
• ### Mod-06 Lec-07 Applications of Equations of Motion (Contd.)

00:52:03Dr. T. Sahoo
• ### Mod-07 Lec-08 Two Dimensional Flows

00:54:04Dr. T. Sahoo
• ### Mod-07 Lec-09 Two Dimensional Flows (Contd.)

00:53:27Dr. T. Sahoo
• ### Mod-09 Lec-11 Worked Examples on Two Dimensional Flows

00:54:32Dr. T. Sahoo
• ### Mod-10 Lec-12 Conformal Mapping and Joukowsky Transformation

00:53:43Dr. T. Sahoo
• ### Mod-11 Lec-13 Uniform Flow Past an Elliptic Cylinder

00:56:03Dr. T. Sahoo
• ### Mod-12 Lec-14 Aerofoil theory

00:53:06Dr. T. Sahoo
• ### Mod-12 Lec-15 Aerofoil theory (Contd.)

00:55:09Dr. T. Sahoo
• ### Mod-12 Lec-16 Aerofoil theory (Contd.)

00:55:28Dr. T. Sahoo
• ### Mod-13 Lec-17 Schwarz - Christoffel Transformation

00:55:18Dr. T. Sahoo
• ### Mod-14 Lec-18 Motion of a cylinder

00:54:01Dr. T. Sahoo
• ### Mod-15 Lec-19 Vertex Motion

00:56:18Dr. T. Sahoo
• ### Mod-16 Lec-20 Irrotational Flow - A Bird's eyeview

00:54:12Dr. T. Sahoo
• ### Mod-17 Lec-21 Introduction to Water Waves

00:56:05Dr. T. Sahoo
• ### Mod-18 Lec-22 Basic Equation and Conditions of Water Waves

00:52:33Dr. T. Sahoo
• ### Mod-19 Lec-23 Water particle kinematics in wave motion

00:54:45Dr. T. Sahoo
• ### Mod-21 Lec-25 Linearised Long Wave Equation

00:55:01Dr. T. Sahoo
• ### Mod-21 Lec-26 Linearised Long Wave Equation (Contd.)

00:54:30Dr. T. Sahoo
• ### Mod-22 Lec-27 Wave motion in two layer fluids

00:55:16Dr. T. Sahoo
• ### Mod-23 Lec-28 Worked Examples on Wave Motion

00:54:53Dr. T. Sahoo
• ### Mod-23 Lec-29 Worked Examples on Wave Motion (Contd.)

00:52:13Dr. T. Sahoo
• ### Mod-24 Lec-30 Gravity wave transformation and energy rotation

00:54:36Dr. T. Sahoo
• ### Mod-24 Lec-32 Gravity wave transformation and energy rotation (Contd.)

00:54:42Dr. T. Sahoo
• ### Mod-25 Lec-33 Navier - Stokes equation of motion

00:55:30Dr. T. Sahoo
• ### Mod-26 Lec-34 Analysis of Basic Flow Problems

00:54:12Dr. T. Sahoo
• ### Mod-26 Lec-35 Analysis of Basic Flow Problems (Contd.)

00:55:01Dr. T. Sahoo
• ### Mod-27 Lec-36 Unsteady unidirectional flows

00:54:56Dr. T. Sahoo
• ### Mod-27 Lec-37 Unsteady unidirectional flows (Contd.)

00:54:58Dr. T. Sahoo
• ### Mod-28 Lec-38 An introduction to Boundary Layer Theory

00:55:36Dr. T. Sahoo
• ### Mod-29 Lec-39 Solution methods for Boundary Layer Equations

00:55:43Dr. T. Sahoo
• ### Mod-29 Lec-40 Solutions Methods for Boundary Layer Equations (Contd.)

00:52:12Dr. T. Sahoo
Course Material: