All fluid flows are governed by a single set of partial differential equations, the Navier-Stokes equations. This includes for instance, the aerodynamics of bumble bees and aerospace planes, the turbulence around vehicles and in the atmosphere and the convection in the sun and around a human body. The course is an in-depth introduction to fluid mechanics, with an emphasis of understanding fluid phenomena using on the Navier-Stokes equations. The equations are derived in detail and numerous examples of solutions are presented. Fluid Mechanics also has many important applications in engineering, geo- and astro-physics and bio-physics, for example, which makes this course ideal as a starting point for students with a varied interest in applications.
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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.
Intended learning outcomes *
The student should be able to identify, apply and/or present derivations of mathematical models of fluid mechanical phenomena and make relevant approximations.
The student shall for simplified cases be able to apply the derived models (numerically or theoretically) and be able to interpret the result.
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.
The student should get a fundamental preparation in order to be able to work with fluid mechanical problems as an engineer.
Literature and preparations
Specific prerequisites *
Completed BSc course in fluid mechanics and completed BSc thesis.
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.
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Kundu & Cohen, Fluid Mechanics, Academic Press.
Additional course material may be available via course home page.
Examination and completion
Grading scale *
A, B, C, D, E, FX, F
Grading scale: P, F
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.