Advance course in Fluid Mechanics [grd1mf]

Programme
Civil Engineering
Study type
Doctoral Studies
Teachers
Course status
optional
ECTS
8.5
Required courses
# active classes - per week
Lectures
Exercises
Other
Personal research activity
4
0
0
2
Teaching methods

Lectures and seminar works, regular assigments during the semester.

Grading scheme - max. 100 points
Colocviums
Semestral work
Oral exam
Written exam
Other
0
20
0
80
0
Aim

Introduction to basic conservation equations for laminar and turbulent flow of incompressible fluids

Outcome

Competence of students to apply the governing equations of fluid laminar and turbulent flow in solving real world engineering problems.

Contents

Basic concepts and definitions, stream lines, path lines and streak lines, material derivative. Governing equations and boundary conditions. Dimensional analysis and similarity. Conservation of mass, momentum and energy (mechanical and heat energy) in integrative and derivative form. Relation of stress and deformation for Newtonian fluid, Navier-Stokes equation. Relations for density, pressure and temperature for compressible fluids. Classical exact analytical solutions for laminar flow. Turbulent flow: mean flow and Reynolds stress equations, modeling, solution procedures, and applications. Velocity distributions for 2-D flows: between parallel plates, in pipes, and in boundary layer. Logarithmic and power laws for velocity distributions. Application of CFD software for simple test cases.

Literature

D. Prodanović (2013): Fluid Mechanics for students of Civil Engineering. University of Belgrade - Faculty of Civil Engineering (in Serbian).

G. Hajdin (2002): Fluid Mechanics, book 1, basicsе. University of Belgrade - Faculty of Civil Engineering (in Serbian).

G. Hajdin (2002): Fluid Mechanics, book 2, introduction into the hydraulics. University of Belgrade - Faculty of Civil Engineering (in Serbian).

Knudsen, J.G. i D.L. Katz (1958): Fluid Dynamics and Heat Transfer. McGraw-Hill.

Liggett, J.A. (1994): Fluid Mechanics. McGraw-Hill; Munson, B.R., D.F. Young i T.H.

Okiishi (2006): Fundamentals of Fluid Mechanics, peto izdanje,  John Wiley and Sons.

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