last modified:23/02/2006
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Coursecode:
wb1427-03 (wb1422ATU) |
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Coursename: Advanced fluid dynamics A |
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ECTS
creditpoints:
5
(wb1422ATU: 6) |
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Faculty of
Mechanical Engineering and Marine Technology |
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Lecturer(s):
Delfos, dr.
R. / (Nieuwstadt,
prof.dr.ir. F.T.M.) |
Tel.:
015-27 82963 / (81005)
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Catalog data:
Fluid mechanics, Kinematics, Dynamics, Equations of
motion, Continuity equation, Stress-Deformation rate relationship,
Navier-Stokes equations, Potential theory, Boundary-layer theory, Stokes flow |
Course year: |
MSc 1st year |
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Period: |
1A / 1B |
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Hours per week:
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2 |
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Other hours: |
3 |
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Assessment: |
Written |
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Assessm.period:
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1B, 2A |
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(see academic calendar) |
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Follow up:
wb1424ATU, 1424BTU |
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Detailed
description of topics:
In this course the fundamental and mathematical
principles of fluid mechanics are treated. Point of departure is the
conservation equations for mass and momentum. Based on these equations the
equations of motion for a incompressible flow are derived. In order to close
the equation of conservation of momentum a relationship must be prescribed
between the stress tensor and the deformation-rate tensor leading to the
constitutive equation for a Newtonian fluid. The result is known as the
Navier-Stokes equations. First these equations are simplified for the case of
an inviscid fluid which are known as the Euler equations. The solution of
these equations for the case of a irrotational flow leads to a treatment of
potential flow theory and the law of Bernoulli. This theory and law are
applied to the flow around a sphere and around a cylinder. The flow around a
cylinder is two dimensional and it is shown that in this case potential flow
theory can be described in terms of complex function theory. This theory is
applied to the flow around a cylinder in combination with a line vortex and
by means of conformal transformations a relationship is derived with the lift
force on a airfoil. In the remaining of the course the full Navier-Stokes
equations, i.e. including the viscosity terms, are considered and the Reynolds
number is defined. The effect of viscosity is coupled to dissipation of
energy and diffusion of vorticity. As example of a very viscous flow, we
discuss the Stokes flow in particular the flow around a sphere. For large
Reynolds numbers the boundary-layer theory is derived and the Blasius
solution for the boundary layer over a flat plate is discussed. |
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Course
material:
Lecture Notes "Stromingsleer Voortgezette
Cursus A (wbmt 1422A)", (in Dutch) in downloadable PDF-format.
Introduction to Fluid Dynamics by G.K. Batchelor, Cambridge University Press.
More elaborate on the
homepage (choose 'info for students'). |
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References from
literature:
Introduction to Fluid Dynamics by G.K. Batchelor,
Cambridge University Press. ISBN 0 521 09817 3 paperback |
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Remarks
assesment, entry requirements, etc.): |
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Learning goals: The student must be able to:
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Computer use:
Computers are used for demonstrations of the lecture
material during the course on the basis of home-made software and on the
basis of the symbolic manipulation program Maple. |
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Laboratory
project(s):
During the lectures some demonstrations are carried
out to explain and support the course material. Furthermore during the weekly
HomeWork lectures (in English!), examples are treated. |
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Design content:
This is a fundamental subject which has only
indirect relationship with design |
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Percentage of
design:
0 % |
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