# Mathematical Methods and Fluid Mechanics, Short Course

• 8 months
Duration
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.

## 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
• Average part-time duration 8 months
• Credits
30 alternative credits
• Languages
• English
• Delivery mode
Online

## 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

• There is no formal pre-requisite study, but you must have the required mathematical skills.

## Tuition Fee

• ### International Applies to you

1548 GBP/full
Tuition Fee
Based on the original amount of 1548 GBP for the full programme and a duration of 8 months.
• ### EU/EEA Applies to you

1548 GBP/full
Tuition Fee
Based on the original amount of 1548 GBP for the full programme and a duration of 8 months.
We've labeled the tuition fee that applies to you because we think you are from and prefer over other currencies.

## Funding

Check the programme website for information about funding options.

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.

##### Mathematical Methods and Fluid Mechanics
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