Computational Methods in Fluid Mechanics and Heat Transfer
Instance: 2005/2006 - 1S
Cycles of Study/Courses
Teaching language
Portuguese
Objectives
To develop the knowledge to model thermal systems and processes, including the mathematical representation of its components and the numerical solution of the resulting equations, through the use of computer algorithms. Optimisation methods and algorithms are also discussed. Finite differences and finite volumes methods are introduced, with application to distributed systems involving heat transfer and fluid mechanics.
Program
INTRODUCTION: the role of simulation in the design of thermal systems; types of mathematical and numerical models.
AUXILIARY TECHNIQUES FOR GLOBAL MODELLING: numerical interpolation and equation fitting (one and multi variable); applications to thermal equipment using computer software.
GLOBAL MODELLING OF STEADY-STATE COMPONENTS: numerical solution of non-linear equations and non-linear systems of equations; use of EES software; applications to heating/cooling systems, power cycles, etc.
GLOBAL MODELLING UNDER DYNAMIC CONDITIONS: numerical methods for integrating ordinary differential equations and systems of equations; use of EES software; applications to systems with thermal storage, mass storage, etc.
DISTRIBUTED MODELLING: differential equations of transport and its generic representation; discretisation methods (finite differences and finite volumes); applications to systems with one- and multi-dimensional unsteady heat conduction; applications to non-viscous flows.
OPTIMIZATION METHODS: one- and multi-dimensional search methods; method of Lagrange multipliers (without and with restrictions); linear programing; geometric programing; optimisation algorithms; applications to fluid flow and thermal systems.
Mandatory literature
Stoecker, Wilbert F.;
Design of thermal systems. ISBN: 0-07-100610-9
Jaluria, Yogesh;
Design and optimization of thermal systems. ISBN: 0-07-032388-7
Patankar, Suhas V.;
Numerical Heat Transfer and Fluid Flow. ISBN: 0-07-048740-5
Complementary Bibliography
EES Software Manual
Amos Gilat; MATLAB - an Introduction with Applications
Teaching methods and learning activities
The course is structured in theoretical (T) and practical (TP) classes. In the T classes the theory is presented and the solution of some typical problems is addressed. In the TP classes practical examples are solved using manual and computer means. Guidance to the development of computational projects (groups of 2 students) is also provided.
Software
EES - Engineering Equation Solver
Evaluation Type
Distributed evaluation with final exam
Assessment Components
Description |
Type |
Time (hours) |
Weight (%) |
End date |
Subject Classes |
Participação presencial |
52,00 |
|
|
|
Total: |
- |
0,00 |
|
Eligibility for exams
Not exceed the maximum number of absences to classes (25%) and deliver the reports of the computational projects.
Calculation formula of final grade
The final classification is the weighted average of the exam classification (2/3) and the classification of the projects (1/3).
Examinations or Special Assignments
Oral and practical computation examination, consisting in the use of EES software to solve practical problems.
Special assessment (TE, DA, ...)
Written examination, with a duration of 2 hours, and specific evaluation test
Classification improvement
Only possible for the final exam.