Module overview
This module will develop the fundamentals of fluid mechanics in the context of naval architecture and ocean engineering. The module continues from the more descriptive fluid mechanics material in part 1 and part 2, and develops the mathematical, computational, and conceptual techniques needed to solve for the flow around ship shaped bodies and lifting surfaces. These concepts will have direct relevance to other modules in part 3 and part 4 modules where evaluation of added mass, boundary layers, and numerical methods are necessary to establish the fluid loading and motion of maritime structures and vessels. The effects of a free surface are not included in the module.
Linked modules
Pre-requisites: SESS2018 and SESS2015
Aims and Objectives
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.
Syllabus
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).
Learning and Teaching
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.
Type | Hours |
---|---|
Preparation for scheduled sessions | 10 |
Revision | 60 |
Lecture | 27 |
Wider reading or practice | 22 |
Completion of assessment task | 12 |
Supervised time in studio/workshop | 9 |
Follow-up work | 10 |
Total study time | 150 |
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
Assessment
Summative
This is how we’ll formally assess what you have learned in this module.
Method | Percentage contribution |
---|---|
Continuous Assessment | 30% |
Final Assessment | 70% |
Referral
This is how we’ll assess you if you don’t meet the criteria to pass this module.
Method | Percentage contribution |
---|---|
Set Task | 100% |
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.
Method | Percentage contribution |
---|---|
Set Task | 100% |
Repeat Information
Repeat type: Internal & External