Fluid Dynamics
Faculteit  Science and Engineering 
Jaar  2019/20 
Vakcode  WISL08 
Vaknaam  Fluid Dynamics 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester II a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Fluid Dynamics  
Leerdoelen  1. The student is able to review the definition of the fundamental variables of Fluid Dynamics, and is able to review the properties of different types of flows (continuum versus free molecule flow, inviscid versus viscous flow, incompressible versus compressible flow) 2. The student is able to derive the governing equations of Fluid Dynamics (the continuinity equation, the momentum equation, the energy equation) and is able to formulate different physical boundary conditions 3. The students is able to reproduce the Bernoulli’s equation for inviscid, incompressible flow, and is able to use this equation in the analysis of the Venturi and lowspeed wind tunnel and in the measurement of air speed using the Pitot tube 4. The student is able to derive the governing equation for irrotational, incompressible flow (Laplace’s equation), and is able to formulate infinite and wall boundary conditions 5. The student is able to reproduce the properties of elementary flow patterns (uniform flow, source flow, combination of a uniform flow with a source and a sink, doublet flow, vortex flow) 6. The student is able to reproduce the equations and the basic properties of surface waves 

Omschrijving  Many phenomena in the world around us can be described in mathematical terms and studied by mathematical means. Such a ‘mathematization’ requires, firstly, skills in the translation of the observed phenomena into a mathematical description. Secondly, it requires experience in applying mathematical analysis techniques to study the properties of the mathematical model. Thirdly, a return translation is required from the mathematical conclusions into the phrasing of the original phenomenological setting. The course on Fluid Dynamics (Stromingsleer) focuses on this twoway aspect of mathematical modeling. The realm of fluid dynamics is very rich in mathematical character; the course will treat only a small selection of topics. The following subjects are treated •Conservation laws •Potential flow (2D and 3D) •Water waves •Viscous flow In the 18th century Leonhard Euler and Daniel Bernoulli formulated the elementary equations of fluid dynamics. Many fluid flows can be constructed with elementary solutions (sources and vortices); for instance the trajectory of a topspinhit tennis ball are explained (Magnus effect). The secrets of airplane flight and airfoil shapes are discussed. The Vwave behind swimming ducks and the growth of a tsunami are discussed as well. The shallow water equations are used to explain wave breaking at the beach. Finally, the secret behind a golf ball’s dimples and modern speedskating suits are revealed. 

Uren per week  
Onderwijsvorm  Hoorcollege (LC), Werkcollege (T)  
Toetsvorm  Schriftelijk tentamen (WE)  
Vaksoort  bachelor  
Coördinator  prof. dr. ir. R.W.C.P. Verstappen  
Docent(en)  prof. dr. ir. R.W.C.P. Verstappen  
Verplichte literatuur 


Entreevoorwaarden  This course assumes a basic knowledge of vectorcalculus and PDE's; a broad range of mathematical tools comes into action during the course: calculus; linear algebra; vector calculus; complex function theory (CauchyRiemann, residue theorem, conformal mapping); mathematical physics and partial differential equations (conservation laws, elementary singularities, Fourier analysis, separation of variables, method of characteristics, Riemann invariants).  
Opmerkingen  The course unit prepares for a courses in the MSc Applied Math programme, in particular Computational Fluid Dynamics, Math. Modeling of Fluid Flows.  
Opgenomen in 
