Module Catalogues, Xi'an Jiaotong-Liverpool University   
Module Code: MTH227
Module Title: Fluid Mechanics and Vector Fields for Engineering
Module Level: Level 2
Module Credits: 5.00
Academic Year: 2020/21
Semester: SEM1
Originating Department: Mathematical Sciences
Pre-requisites: MTH101
To introduce the fundamental principles of fluid mechanics and to lay a solid foundation for subsequent work involving mechanical and mechatronic engineering.
Learning outcomes 
Students completing the module successfully should be able to:

A. Apply methods from the theory of vector fields to the study of fluid flows.

B. Use mathematical techniques to analyse and solve basic engineering problems in fluid mechanics.

C. Recognise and analyse different types of flows appearing in robotic and mechatronic systems.

D. Demonstrate independent learning, problem solving and design skills.
Method of teaching and learning 
This module will be delivered through a combination of formal lectures, and tutorials. An In-Class test will be provided in Week 5 and a continuous assessment will be provided in Week 10.
Part 1: Introduction to Vector Field Theory

• Scalar & Vector Fields

• Gradient, divergence and curl

• Stress tensor.

Part 2: Basic Fluid Mechanics

• Dimensional analysis

• Fluid properties

• Pathlines & streamlines

• Steady & unsteady flow

• Hydrostatics

• Material derivatives

• Bernoulli's equation

• Concept of pressure

• Conservation laws of mass

• Momentum and energy

• Navier-Stokes equations

• Vorticity.

Part 3: Flow Applications

• Pipe flow

Friction losses

• Pipe networks

• Hagen-Poiseuille flow

• Couette flow and other relevant flow types to robotics and mechatronics

Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 39    13      98  150 


Sequence Method % of Final Mark
1 In-Class Test 15.00
2 Continuous Assessments 15.00
3 Final Exam 70.00

Module Catalogue generated from SITS CUT-OFF: 6/5/2020 9:25:03 PM