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.