ID: 1290
Course type: theoretical and methodological
Course coordinator: Ćoćić S. Aleksandar
Lecturers: Lečić R. Milan, Milićev S. Snežana, Raković M. Milan, Stevanović D. Nevena, Ćoćić S. Aleksandar
Contact: Ćoćić S. Aleksandar
Level of studies: M.Sc. (graduate) Academic Studies – Mechanical Engineering
ECTS: 6
Final exam type: written+oral
Department: Department of Fluid Mechanics
Main goal is to learn student general principles of fluid mechanics and how to apply them in solving practical engineering problems. In that sense proper understanding of general laws and equations is necessary. This will also enable student to develop further in other topics based on fluid mechanics.
Student will gain knowledge on general principles in fluid mechanics and develop capabilities of analytical thinking. Firstly, knowledge on general laws and various forms of general equations (continuity, momentum and energy) and constitutive equations (rheology, Fourier law), and how and when the equations could be approximated. Upon successful completion of the course student should be able to: apply dimensional analysis and similarity theory and their application in fluid mechanics problems; apply the theory of potential flows; apply one-dimensional theory for solving engineering problems: incompressible and compressible flow in pipes and nozzles.
Physical and mathematical aspects in fluid mechanics. Forces, state of stress and rheology. General equations of fluid mechanics. Conservation laws: mass, momentum and energy. Dynamics of inviscid flow. Potential flow: stream function and velocity potential and Cauchy-Riemann equations. Basic flows: source, sink, doublet, vortex and their superposition. Application of complex analysis in studying potential flows. Forces on the body in potential flow stream. Conformal mapping, airfoils, Kutta-Joukovski condition. Viscous flows. Some exact solutions of Navier-Stokes equations in cases of laminar flow. Turbulent flows of incompressible fluid. Reynolds equations and modeling. Turbulent flows is channels and pipes. Boundary layer theory. Prandtl equations of boundary layer. One-dimensional flows. Form of general equations for one-dimensional flows. Water hammer. One-dimensional gas flows. Speed of sound. Shock wave. Adiabatic and isothermal flows with friction. Quasi one-dimensional flows in nozzles: convergent and convergent-divergent nozzle. Basics of computational fluid mechanics (CFD).
Application of integral form of general equations - control volume analysis. Exact solutions of Navier-Stokes equations. Dimensional analysis. Planar potential flows of incompressible fluid. Stream function, velocity potential. Application of complex analysis in solving problems of potential flows. Conformal mapping. Integral analysis of boundary layer. Numerical calculation of water hammer. One-dimensional flow of compressible fluid - gas dynamics. Isothermal and adiabatic gas flow in pipes. Shock wave. Quasi one-dimensional flows in nozzles.
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Library, computer classrooms
Total assigned hours: 75
New material: 20
Elaboration and examples (recapitulation): 10
Auditory exercises: 30
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0
Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 5
Test: 5
Final exam: 5
Activity during lectures: 0
Test/test: 40
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 60
Requirement for taking the exam (required number of points): 15
Crnojevic C. (2014): Fluid Mechanics, Faculty of Mechanical Engineering, Belgrade (in Serbian); Cantrak S (2014): Hydromechanics, Faculty of Mechanical Engineering, Belgrade (in Serbian); Crnojevic C. (2014): Classical and Oil Hydraulics, Faculty of Mechanical Engineering, Belgrade (in Serbian); Gerhart P.M., Gerhart A.L., Hochstein J.I. (2021): Munson, Young, Okiishi's Fundamentals of Fluid Mechanics, 9th Edition, Wiley