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# Heat and flow

Flow:

• Lagrangian and Eulerian description of flows
• Integral form of mass and momentum conservation laws
• Integral form of energy conservation law
• Viscous force and stress tensor
• Differential form of mass and momentum conservation laws
• Navier-Stokes equation
• Exact solutions: Poiseuille, Couette
• Bernoulli equation
• Reynolds number
• Boundary layers

Heat:

• Different mechanisms of heat transfer
• Governing differential equations and boundary conditions
• Stationary heat conduction in various coordinate systems
• Lumped approximation
• Unsteady conduction for plates, cylinders, spheres and semi-infinite media
• Introduction to convective heat transfer and non-dimensional numbers
• The concept of intensity of radiation and laws of Planck and Stefan-Boltzmann. Introduction to radiative heat transfer

For Student Mobility Alliance students:
This course requires that you are able to:

1. Apply mathematical methods from calculus to solve problems in mechanical engineering;
2. Work with both algebraic and transcendental functions;
3. Calculate derivatives and integrals of a wide range of one-dimensional functions;
4. Calculate partial derivatives of functions of more than one variable;
5. Solve standard differential equations, in particular by the method of separation of variables.
The course can be completed fully online via online lectures, knowledge clips, online homework assignments and exercises with automatic feedback.
The final exam is a written exam on TU/e campus .

## Learning outcomes

The student learns about kinematics and dynamics of flowing media, both viscous and inviscid:
• Description of flows in terms of streamlines and trajectories and the application of conservation laws of mass and momentum in differential form;
• Estimation of terms in the governing differential equations, which enables the classification of flows;
• Analysis of a flow problem in order to reduce it to a simpler problem, solution of this problem and validation of the simplifications.

Heat:
• Knowledge of different mechanisms for heat transfer;
• Knowledge of non-dimensional numbers that determine the heat transfer by means of conduction and convection;
• Derivation of governing equations for heat transfer problems including boundary conditions;
• Analytical solution of relatively simple heat conduction problems;
• Solution of relatively simple heat convection problems;
• Calculation of net radiation between grey and diffuse surfaces.

## Prior knowledge

You must meet the following requirements

• Registered for a degree programme other than
• Applied Physics
• HBO-TOP Applied Physics, Pre-Master, Fulltime
• Completed none of the course modules listed below
• Heat and flow (Online) (4PB00ONL)
• Physics of transport phenomena (3CTX0)
• Physical transport phenomena (6P1X0)
If anything remains unclear, please check the FAQ of TU Eindhoven.

## Offering(s)

• ### Start date

22 april 2024

• Ends
23 juni 2024
• Term *
Block 4
• Location
Eindhoven
• Instruction language
English
• Register between
15 Nov, 00:00 - 24 Mar 2024
Enrolment starts in 52 days
These offerings are valid for students of Utrecht University