URL study guide
https://tue.osiris-student.nl/onderwijscatalogus/extern/cursus?cursuscode=4RA10&collegejaar=2025&taal=enDescription
In this foundational / introductory course, students will learn to create and solve analytical models for simple flow and heat problems. To do that, we also teach the concepts needed to understand fluid flow and heat transfer (e.g. pressure, density, temperature, control volumes, phase changes, emissivity, phase diagrams etc.), some closely related topics (e.g. kinetic theory, hydrostatic forces, dimensionless numbers, diffusion, thermodynamics etc.), and supplementary mathematics (e.g. polar coordinates, ordinary differential equations etc.) In CBL projects 4CBLA030 Energy Storage and Transport and 4CBLB00 Solar Heat System, students can apply the obtained knowledge.The course is part of both the Mathematics learning line and the Thermo Fluids Engineering learning line. It is a classical ‘theoretical course’ with lectures and guided self-studies. Some of the rooms for guided self-studies are dedicated to independent work (supervised by TAs), other rooms are dedicated to Instructions by the lecturer(s). Students can choose if and where they want to attend.
Topics covered (in random order)
Mathematical topics:
- Functions of multiple variables
- Integration
- Polar and spherical coordinates
- Gradients
- Ordinary Differential Equations
- Hydrostatics & Hydrodynamics
- Kinetic Theory & Thermodynamics
- Heat & Heat transfer
- Analytical Modelling & Modelling cycle
Objectives
At the end of this course students will be able to:LO1 Describe the cyclic process of analytical modeling and apply (parts of) it to set-up analytical models in fluid statics and fluid dynamics, heat transfer, kinetic theory and thermodynamics.
LO2 Describe (physical) principles on fluid statics and fluid dynamics, heat transfer, kinetic theory and thermodynamics, so students can identify relevant physical phenomena and key concepts in a given problem statement.
LO3 Propose analytical models on fluid statics and fluid dynamics, heat transfer, kinetic theory and thermodynamics and translate them into mathematical descriptions using e.g. functions of multiple variables and their integration and differentiation, coordinate transformations and Ordinary Differential Equations.
LO4 Solve problem specific analytical models related to fluid statics and fluid dynamics, heat transfer, kinetic theory and thermodynamics. This includes for example:
- Apply hydrostatic pressure laws and the resulting fluid forces and moments on external objects (such as forces and moments on a dam).
- Apply conservation laws of mass, momentum and energy for flowing fluids to find for example fluid velocities, pressures and resultant forces.
- Analyze the influence of pressure loss and viscosity in flow problems.
- Apply basic concepts of kinetic theory and thermodynamics to solve problems related to e.g. ideal and real gases, phase diagrams, thermal expansion of solids and fluids, diffusion and calorimetry.
- Apply mechanisms for heat transfer (conduction, convection and radiation) to derive and solve models for simple heat problems using for example the concept of thermal resistances.