 # Mathematical Methods and Fluid Mechanics, Short Course

• Unknown
Duration
University rank #501 (WUR)
Half of the Mathematical Methods and Fluid Mechanics programme offered by The Open University UK is about modelling simple fluid flows; the other half is about mathematical methods. You'll learn how to solve ordinary and partial differential equations such as: Laplace’s equation, the wave equation and the diffusion equation; some vector field theory; and Fourier analysis. Continue with
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## Overview

The fluid mechanical aspects of the module will give you a good understanding of modelling in the context of fluids. To study this Mathematical Methods and Fluid Mechanics programme offered by The Open University UK you should have a sound knowledge of ordinary differential equations, vector calculus, multiple integrals, basic particle mechanics and some knowledge of partial differential equations and Fourier series as provided by the appropriate OU level 2 study.

#### What you will study

In simple terms, we think of a fluid as a substance that flows. Familiar examples are air (a gas) and water (a liquid). All fluids are liquids or gases. The analysis of the forces in ­and motion of ­liquids and gases is called fluid mechanics. This module introduces the fundamentals of fluid mechanics and discusses the solutions of fluid-flow problems that are modelled by differential equations. The mathematical methods arise from (and are interpreted in) the context of fluid-flow problems, although they can also be applied in other areas such as electromagnetism and the mechanics of solids.

Because of its many applications, fluid mechanics is important for applied mathematicians, scientists and engineers. The flow of air over objects is of fundamental importance to the aerodynamicist in the design of aeroplanes and to the motor industry in the design of cars with drag-reducing profiles. The flow of fluids through pipes and channels is also important to engineers. Fluid mechanics is essential to the meteorologist in studying the complicated flow patterns in the atmosphere.

## Detailed Programme Facts

• Programme intensity Part-time
• Credits
30 alternative credits
• Languages
• English
• Delivery mode
On Campus

## Programme Structure

Block 1
• Properties of a fluid
• Ordinary differential equations
• First-order partial differential equations
• Vector field theory
Block 2
• Kinematics of fluids
• Bernoulli’s equation
• Vorticity
• The flow of a viscous fluid
Block 3
• Second-order partial differential equations
• Fourier series
• Laplace’s equation
Block 4
• Water waves
• Boundary layers and turbulence

## English Language Requirements

This programme may require students to demonstrate proficiency in English.

## General Requirements

• You need a sound knowledge of first- and second-order ordinary differential equations; vectors and elementary vector calculus; partial differentiation; multiple integrals; dimensions; and basic particle (Newtonian) mechanics.
• You’d normally be prepared by completing OU level 2 study as part of one of our engineering or mathematics qualifications.

## Living costs for Milton Keynes

• 848 - 1350 GBP/month
Living Costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.

## Funding

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

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