Hydrodynamics (1416)

  
Coordinating lecturer :Prof. dr. Ken HAENEN 
  
Member of the teaching team :Prof. dr. Paulius POBEDINSKAS 
 Mevrouw Shasha LI 


Language of instruction : English


Credits: 4,0
  
Period: semester 1 (4sp)
  
2nd Chance Exam1: Yes
  
Final grade2: Numerical
 
Sequentiality
 
   Mandatory sequentiality bound on the level of programme components
 
 
  Following programme components must have been included in your study programme in a previous education period
    Calculus 2 (5427) 5.0 stptn
 

Prerequisites

1. Basic concepts of analytic geometry in a real 3-space: scalar product, vectorial product, equations of rights, planes and squares. (as seen in Calculus 2)
2. Real functions in multiple real variables: limit and continuity (intuitive), including simple properties, partial derivative of arbitrary order and applications (tangents, normals, gradients, directional derivatives, derivatives of implicitly defined functions), differentiability. (as seen in Calculus 2)
3. Taylor approximations, of arbitrary order, including error estimates in linear approximations. (as seen in Calculus 2)
4. Double integrals: definition, properties, and techniques to compute these integrals for elementary or regular domains. (as seen in Calculus 2)
5. Extreme values for problems without or with additional conditions. (as seen in Calculus 2)
6. Derivatives of integrals with parameters. (as seen in Calculus 2)
7. The student knows how to work with Cartesian, cylindrical and spherical coordinates in a real 3-dimensional space. (as seen in Vectorcalculus)
8. The student knows the notion of double and triple (proper and improper) integral and can calculate them in different coordinate systems. (as seen in Vectorcalculus)
9. The student knows the notion of scalar field and vector field. He/she knows what a line integral and a surface integral are. He/she can calculate these notions and use them in applications such as the calculation of area and flux. (as seen in Vectorcalculus)



Content

This course covers the development of the fundamental equations of hydrodynamics and their simplifications for several cases. Topics include: the principles of conservation and diffusion of mass, momentum and energy, the macroscopic and microscopic explanation of diffusion processes, laminar and turbulent flows, the concept of viscosity and the Reynolds number are explained and how the qualitative behavior of currents depends on them, the development of the Navier-Stokes' equation.

During the exercise sessions (werkzitting) students will use finite element analysis software to solve some problems.



Organisational and teaching methods
Organisational methods  
Lecture  
Small group session  


Evaluation

Semester 1 (4,00sp)

Evaluation method
Written evaluation during teaching period30 %
Report
Written exam70 %
Closed-book
Evaluation conditions (participation and/or pass)
Conditions

Submitting the report is mandatory. The report must be submitted and assessed as sufficient in order to receive a pass.

Consequences

 A student whose report is not assessed as sufficient, will receive F-fail as final grade for the programme component, regardless of the result of his/her exam.

Additional information During the simulation work students will simulate liquid (or gas) flow around an object (which students can choose freely) by finite element analysis. The aim is to learn how flow patterns change when the flow velocity is changed (i.e. the analysis is done at different Reynolds numbers), and calculate the drag and lift forces acting on the object. We will use COMSOL Multiphysics 4.3a Class Kit software. COMSOL will be used during several problem classes to to enable that students learn the software during the course. The simulation assignment will be initiated during the last problem class and then students will continue the work independently, leading to a written report which should be delivered before the exam.

Second examination period

Evaluation second examination opportunity different from first examination opprt
No
Explanation evaluation1. A student who did not submit the report in the first examination
opportunity, will be able to submit the report in the second examination
opportunity before a specific date communicated by the examiner.
2. A student whose report was assessed as sufficient (pass) in the first
examination opportunity, will keep this pass when determining the final
grade for the programme component in the second examination opportunity.
3. A student whose report was not assessed as sufficient, will be able
to rework the paper once and will have to submit the report before a
specific date communicated by the examiner. The student will be able to
choose to transfer the partial grade he/she obtained in the first
examination opportunity for the exam as partial grade in the second
examination opportunity, providing this score was at least 8/20.
4. A pass for the report will automatically be transferred to the next
academic year in the event that the student will have to re-enroll in
the programme component in the next academic year.
5. In the event that a student has not passed the programme component at
the end of the academic year, the student may request to transfer the
partial grade he/she obtained for the exam to the next examination
opportunity in the case of re-enrollment, providing that the student
obtained a minimum score of 50% for the exam. A lower score will not be
transferrable to a following re-enrollment in the programme component.
 

Recommended reading
  Physical Hydrodynamics,E. Guyon


Learning outcomes
Bachelor of Mathematics
  •  EC 
  • EC 6: A graduate of the Bachelor of Mathematics programme is able to integrate the acquired knowledge in new mathematical topics.  He/she understands the connection between subjects. 

  •  EC 
  • EC 11: A graduate of the Bachelor of Mathematics programme has acquired basic knowledge in another scientific discipline.

 

Bachelor of Physics
  •  EC 
  • EC 2: A graduate of the Bachelor of Physics programme is able to combine various basic theories of physics in studying more complex phenomena which appear for example in solid state physics, astrophysics, atomic physics, nuclear and particle physics and biophysics.

  •  EC 
  • EC 3: A graduate of the Bachelor of Physics programme is able to use models and techniques from physics and other scientific domains to solve multidisciplinary problems.

     
  •  DC 
  • A graduate of the Bachelor of Physics can describe and explain models and techniques from physics and other scientific fields.

     

 

  EC = learning outcomes      DC = partial outcomes      BC = evaluation criteria  
Offered inTolerance3
2nd year Bachelor of Physics J
Bachelor of Mathematics - verbreding fysica J



1   Education, Examination and Legal Position Regulations art.12.2, section 2.
2   Education, Examination and Legal Position Regulations art.15.1, section 3.
3   Education, Examination and Legal Position Regulations art.16.9, section 2.