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FMJ3411 Numerical Heat Transfer in Energy Technology 7.5 credits

This course provides a solid background on numerical methods relevant to heat transfer and fluid flow with focus on energy applications. With this background, participants will have good insight in implementing models in commercial computational fluid dynamics (CFD) codes and in interpreting the results.

About course offering

For course offering

Spring 2024 Start 16 Jan 2024 programme students

Target group

PhD students

Part of programme

No information inserted


P3 (3.0 hp), P4 (4.5 hp)


16 Jan 2024
3 Jun 2024

Pace of study


Form of study

Normal Daytime

Language of instruction


Course location

KTH Campus

Number of places

Places are not limited

Planned modular schedule


For course offering

Spring 2024 Start 16 Jan 2024 programme students

Application code



For course offering

Spring 2024 Start 16 Jan 2024 programme students


No information inserted

Course coordinator

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Headings with content from the Course syllabus FMJ3411 (Spring 2022–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

The purpose of this course is to provide a solid background on numerical methods relevant to heat transfer and fluid flow in energy applications, with emphasis on component design. Participants successfully completing this course will have adequate preparation for subsequent studies where commercial computational fluid dynamics (CFD) codes are to be employed. The following topics are covered in the course:

  • Numerical solutions to differential equations 
  • Error analysis in numerical methods 
  • Governing equations for heat transfer in solid materials and radiative exchange 
  • Governing equations for fluid flow: conservation of mass, linear momentum, and energy 
  • Finite difference method for 1D and 2D conduction heat transfer 
  • Euler’s solution method and higher-order time discretization in transient conduction heat transfer 
  • Stability criteria for explicit time marching solutions 
  • Advection equation and relevance to convective heat transfer 
  • Implicit time marching schemes for advection 
  • Introduction to Navier-Stokes equations and turbulence, and their numerical treatment

Intended learning outcomes

After completing the course with a passing grade the student should be able to: 

  1. Derive numerical methods for treating partial differential equations in heat tranfer, develop specific expressions for programming, and analyze sources of error
  2. Define governing equations for relevant heat transfer processes and construct representative numerical simulations 
  3. Account for current developments in numerical heat transfer methods and software, compare different methods, and contrast selected approaches through analysis 
  4. Conduct numerical simulations with commercial computational software and analyze results in terms of validity and accuracy, including comparisons to real heat transfer processes

Literature and preparations

Specific prerequisites

Admitted to PhD studies

Recommended prerequisites

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Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

P, F


  • INLA - Home assignment, 0.5 credits, grading scale: P, F
  • INLB - Home assignment, 0.5 credits, grading scale: P, F
  • LABA - Computer laboratory, 3.0 credits, grading scale: P, F
  • LIT1 - Literature review, 1.5 credits, grading scale: P, F
  • TEN1 - Exam, 2.0 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

No information inserted

Postgraduate course

Postgraduate courses at ITM/Energy Technology