The student should be able to

• Derive the energy and heat transport equations for fluid mechanic problems.
• Derive Kelvins circulation problem and the vorticity equation.
• Master classical potential theory including Kutta-Jukowskis theorem.
• Compute the flow field for a number of so called exact solutions.
• Understand fluid mechanics problems at high Reynolds numbers.
• Carry out a simple simulation of flow.

• The student should be able to formulate mathematical models of fluid mechanical problems including heat exchange and make relevant approximations of fluid phenomena.
• The student should apply these models for simple cases and interpret the results.
• The student should gain some skill in carrying out fluid mechanical computations.

Lectures (L1-14) and recitations (R1-R14)

The course contents will be presented in 14 lectures and 14 recitations divided into the 6 parts:

Part 1. Equations of motion

Part 2. Laminar viscous flow

Part 3. Laminar boundary layers

Part 4. Vorticity dynamics

Part 5. 2D irrotational flows 

Part 6. Turbulence

You may prepare for each lecture by reading Kundu & Cohen (4^th edition) and/or Kundu, Cohen & Dowling (5^th , 6^th edition). Detailed reading instructions can be downloaded from Canvas.

Lab

A mandatory experimental lab (Self-similar boundary layer lab with a fauvourable pressure gradient) is scheduled in the Fluid Physics lab, Teknikringen 8. Detailed lab instructions can be downloaded from Canvas. You can sign up in Canvas (under “People” tab). 

The student should have good knowledge in linear algebra and calculus in more than one variable, vector analysis, Gauss and Stokes theorems and solution of elementary partial differential equations, basic knowledge of fluid mechanics phenomena, computer programming in e.g. Matlab. 

The book by Kundu & Cohen & Dowling, Fluid Mechanics (6:th ed.), Elsevier AP. You can download E-book (5:th edition) from KTH library. 

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• TEN1 - Examination, 3.0 credits, grading scale: A, B, C, D, E, FX, F
• LAB1 - Lab Exercise, 1.0 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.

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

•  LAB1 - Lab Exercise, 1.0 credits, grade scale: P, F

•  TEN1 - Examination, 3.0 credits, grade scale: A, B, C, D, E, FX, F

(TEN1; 3 credits), (LAB1; 1 credit). Examination testing skills in solving problems and applying mathematical methods. Completed lab exercise and lab report.

• 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.

The course syllabus is valid from autumn term 2024 according to the decision of the Faculty Board: S-2024-0485. Decision date: 2024-04-15.