# August Outline

## ME209 Engineering Analysis

Covers MM217 material as well as MM209 class tests

### Concepts

Case studies in formulation of equation systems and differential systems for structural, dynamic, fluid and thermal problems.

### Mathematical Methods

Linear algebra, matrices, linear operators, definitions; square matrices; inversion, determinants and singularity; Gaussian elimination, LU decomposition.

### Numerical Methods

Jacobi and Gauss Seidel iterative methods; Newton Raphson method; numerical differentiation and integration, applications to multiple integrals, numerical quadrature, evaluation of areas, interpolation and curve fitting.

### Solutions of Ordinary Differential Equations

Computer-aided engineering techniques. Numerical solution of ODEs, initial value problems, predictor corrector methods. Runge Kutta methods.

## ME203 Heat and Flow

### Fundamental Laws of Thermodynamics

Property change in processes with energy transfers. Heat and work for various processes. Assumptions of each process. Energy transfers and power in cycles.

### Fluid Dynamics and Power Cycles

Appropriate assumptions and procedures for different fluids. Perfect Gas Law. Thermodynamics property tables and energy equation.

### Fluid Applications and Numerical and Experimental Properties

Assumptions and behaviour of different fluids. Parameters of fluid properties; viscosity, Mach, Reynolds numbers. Dimensional analysis.

### Conservation of Mass, Energy, Momentum in Fluid Systems

Appropriate assumptions and usage of general continuity equations.

## 19222 Electrical Machines and Control

### LO1

Cable colours, circuit breakers. Voltage, current and power flow in single-phase AC circuits. Active, reactive power and power factor for single-phase AC. Power factor correction components. Star and delta connected networks. Power flow in three-phase power systems.

### LO2

Electromagnetic circuit flux. Force induced on conductors within magnetic fields. Voltage induced by conductor moving through a magnetic field. DC motor behaviour and equivalent circuit models. DC motor control techniques.

### LO3

Transformers and equivalent circuit models. Experimental measurement of transformer parameters.

### LO4

AC induction and synchronous machine behaviour and equivalent circuit model. Legacy control techniques, variable speed and regenerative drives. Applications, budgets, scales and scenarios involving machine and control types.