Marine Hydrodynamics

Learning Outcomes

Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• The effects of differing boundary layer profiles.
• The governing equations of motion for boundary layers from the Navier-Stokes equation.

Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Develop the methodology for the estimates of skin friction estimates.
• Introduce the concepts of complex potential definition of basic flow regimes

Disciplinary Specific Learning Outcomes

Having successfully completed this module you will be able to:

• Complex Potential: Definition of w, the complex potential, in terms of velocity potential and the stream function. Derivation of total velocity from w. Fundamental hydrodynamic sources: source, sink, vortex, dipole and free stream.
• Boundary Layer Methods:Development of Navier Stokes methods and Prandtl equivalents. Simplified boundary layer profiles, estimation of skin friction values, dependence upon Reynolds Number. Momentum integral equation
• Mapping Techniques:Mapping functions and their uses is explored to transform complex shapes to circles and straight lines. Addition of vorticity for reality in flow. Determination of lift and drag and lines of action.
• Numerical Methods for Potential Flows:Develop equations for a vortex panel and solve a system of equations describing the superposition of panels to determine the flow around any two-dimensional body. Enforce the numerical Kutta condition and determine the lift. Development numerical integration of general boundary layer flows with pressure gradients. Link the panel method and integral method to determine flow separation and forces.
• Basic Mathematical Skills: Basic complex variable revision. Introduction to Cauchy Integral methods and boundary integrals. Identification of poles and zero's.

Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Understand basic methods of analysis of engineering problems with fluid interaction.

Subject Specific Practical Skills

Having successfully completed this module you will be able to:

• Use conformal mapping techniques and panel methods to investigate the flow around noncircular bodies.

The module will develop the ideas of the previous fluid dynamics modules from Part 1 and Part 2 modules. The main ideas will be conveyed using complex variable theory for potential flow conditions.

The module oversees the theory behind the estimation of lift and drag on wings, ships, etc. The second part of the module addresses the boundary layer problem using conventional techniques for laminar and turbulent flow. The third part of the module introduces the ideas behind Computational

Fluid Dynamics (CFD).

Teaching and learning methods

Teaching methods include

• Lecturing the course using examples from real ship situations as examples of where the techniques apply.
• 3 weeks in the design studio developing and applying a numerical flow solver.

Learning activities include

• Understanding the mathematical techniques of complex variables.
• Understanding by performing examples of the lift and drag from Joukowski aerofoils.

Resources & Reading list

General Resources

Blackboard. The blackboard web site has links to a number of websites that have demonstrations of how the transforms work and show how the streamlines are modified.

Jupyter notebooks for the numerical methods sections. https://github.com/Weymouth/MarineHydro

Summative

This is how we’ll formally assess what you have learned in this module.

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.

Repeat

An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.

Repeat Information

Repeat type: Internal & External