Introduction, tensors, kinematics. Continuum mechanical conservation laws for mass, momentum and energy. Laminar viscous flow. Laminar boundary layers. Vorticity dynamics. Two-dimensional irrotational flow. Introduction to turbulent flow.

1. The student should be able to identify, apply and/or present derivations of mathematical models of fluid mechanical phenomena and make relevant approximations.
2. The student shall for simplified cases be able to apply the derived models (numerically or theoretically) and be able to interpret the result.
3. The student should show an ability to relate obtained data, observed phenomena and processes in a laboratory environment to the theoretical description of fluid mechanics.
4. The student should get a fundamental preparation in order to be able to work with fluid mechanical problems as an engineer.

Lectures (L1-14) and recitations (E1-E14)

The course contents will be presented in 14 lectures and 14 recitations divided into the following sections:

1. Introduction, tensors, kinematics (L1,L2, E1,E2)
2. Conservation laws (L3, E3)
3. Laminar viscous flow (L4,L5, E4-E6)
4. Conservation of energy (L6, E6, E9)
5. Laminar boundary layers (L7,L8, E7,E8)
6. Vorticity dynamics (L9,L10, E9, E10)
7. 2D irrotational flows (L11, L12, E11, E12)
8. Introduction to turbulent flow (L13, L14, E13, E14)

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. 

Students at KTH with a permanent disability can get support during studies from Funka:

Funka - compensatory support for students with disabilities

A, B, C, D, E, FX, F

• INL1 - Assignments, 3.0 credits, Grading scale: P, F
• TEN1 - Examination, 4.5 credits, Grading scale: A, B, C, D, E, FX, 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.

INL1: Written assignments and participation and reporting of laboratory exercise

TEN1: Written exam.

Examiner decides, in consultation with KTH's coordinator for students with disability (Funka), about any adapted examination for students with documented, permanent disability. The examiner may allow another examination form when re-examining individual students.

INL1 - Assignments, 3.0 credits

Three sets of mandatory homework (HW) assignments can be download from Canvas (under “Assignments” tab). Upload your assignment on CANVAS from a PDF-file before deadlines (see Detailed plan for when HW are due).

Homework 1:  Max 3p bonus on 1st exam
Homework 2:  Max 5.5p bonus on 1st exam
Homework 3:  Max 3.5p bonus on 1st exam

A mandatory experimental lab in the Fluid Physics lab, Teknikringen 8. 

TEN1 - Examination, 4.5 credits

The grade scale is A-F according to (may be adjusted)

Maximum number of points on the exam is 50+12, including bonus from homeworks. The points obtained from the homework problems can only be used to get a higher grade than E, they cannot be used to pass the exam. The grade Fx can be upgraded (through an oral exam) to E within six weeks after the exams have been corrected. There is a re-exam in December, but with no possibility to receive a Fx (i.e. Fx=F in re-exam). 

• INL1, Assignments/laboratory exercise, 3,0 hp, P/F
• TEN1, Examination, 4,5 hp, A-F

• 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.