Selected Topics in Fluid Mechanics / Advanced Graduante Fluid Mechanics

dr Gustavo Abade

Academic year: 2021/2022
Semester: summer

LECTURE DESCRIPTION

We will meet weekly according to the schedule published in USOS.

Lecture: Wednesdays, 15:15 - 17:00 (Gustavo Abade)
Tutorials: Thursdays, 9:15 - 11:00 (Daniel Albuquerque)

Bibliography:

D. J. Acheson, Elementary fluid dynamics.
B. Lautrup, Physics of continuous matter: exotic and everyday phenomena in the macroscopic world.
G. K. Batchelor, An introduction to fluid dynamics.
L. D. Landau and E. M. Lifshitz, Fluid mechanics.
A. R. Patterson, A first course in fluid dynamics.

Assessment:

The final assessment will be based on homeworks (40%) and on a written exam (60%) including theoretical and problem solving tasks.

COURSES MATERIALS

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                                     Ekman Layer
                                    Daniel Albuquerque
                                    June 9, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
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                                                            Exercise Sheet - 
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                                                                    exercises13.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    exercises13.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                    Boundary layer on a flat plate
                                    Daniel Albuquerque
                                    June 2, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
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                                                            Exercise Sheet - 
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                                                                    exercises12.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Sheet - 
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                                                                    homework07.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    exercises12.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    homework07.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    HW7_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                     Minimum dissipation theorem, application of Faxén's theorem and transmission of force and torque in Stokes flows
                                    Daniel Albuquerque
                                    May 26, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
                                            Lecture documents:
                                            
                                                
                                                    
                                                        
                                                            
                                                            Exercise Sheet - 
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                                                                    exercises11.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Sheet - 
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                                                                    homework06.2.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Solution
                                                            
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    HW6.2_solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    exercises11.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    homework06.2.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    HW6.2_solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                    Lorentz Reciprocal Theorem
                                    Daniel Albuquerque
                                    May 19, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
                                            Lecture documents:
                                            
                                                
                                                    
                                                        
                                                            
                                                            Exercise Sheet - 
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                                                                    exercises10.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework - 
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                                                                    homework06.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Solution
                                                            
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    HW6_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    exercises10.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    homework06.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    HW6_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                    Faxén's Theorem for translation
                                    Daniel Albuquerque
                                    May 5, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
                                            Lecture documents:
                                            
                                                
                                                    
                                                        
                                                            
                                                            Exercise Sheet
                                                            
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    exercise09.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework - 
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                                                                    homework5.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Solution - 
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                                                                    HW5_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                                            Exercise Sheet
                                                            
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    exercise09.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    homework5.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    HW5_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                    Sphere in a general linear flow
                                    Daniel Albuquerque
                                    April 28, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
                                            Lecture documents:
                                            
                                                
                                                    
                                                        
                                                            
                                                            Exercise Sheet - 
                                                            Script for the classes
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    exercises08.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    exercises08.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                    Flow past a sphere - Stokes Regime
                                    Daniel Albuquerque
                                    
                                
                                
                                
                                
                                  
                                    
                                        
                                            
                                            Lecture documents:
                                            
                                                
                                                    
                                                        
                                                            
                                                            Exercise Sheet - 
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                                                                    exercises07.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework - 
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                                                                    homework04.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Solution
                                                            
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    HW4_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    exercises07.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    homework04.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    HW4_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                    Hydrostatic Stability and Oberbeck-Boussinesq Equation
                                    Daniel Albuquerque
                                    April 7, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
                                            Lecture documents:
                                            
                                                
                                                    
                                                        
                                                            
                                                            Exercise Sheet - 
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                                                                    exercises06.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    exercises06.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                    Centrifugal Instability / Rayleigh-Taylor Instability
                                    Daniel Albuquerque
                                    March 31, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
                                            Lecture documents:
                                            
                                                
                                                    
                                                        
                                                            
                                                            Exercise Sheet - 
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                                                                    exercises05.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Sheet - 
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                                                                    homework03.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Solution
                                                            
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    HW3_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    exercises05.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    homework03.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                                    HW3_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                    A simple stability analysis
                                    Daniel Albuquerque
                                    March 24, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
                                            Lecture documents:
                                            
                                                
                                                    
                                                        
                                                            
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                                                            Script for the classes
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    exercises04.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Script for the classes
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    exercises04.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                    Surface Waves
                                    Daniel Albuquerque
                                    March 17, 2022, 11:15 a.m.
                                
                                
                                
                                
                                  
                                    
                                        
                                            
                                            Lecture documents:
                                            
                                                
                                                    
                                                        
                                                            
                                                            Exercise Sheet - 
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                                                                    exercises03.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Sheet - 
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                                                                    homework02.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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                                                            Homework Solution
                                                            
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
                                                                    HW2_Solution.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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+Class
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                                                                    exercises03.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                                            Homework Sheet - 
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                                                                    homework02.pdf 
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
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-                                                            Homework Solution
                                                            
                                                            
                                                            

                                                            
                                                            
                                                                
                                                                    
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