Theoretical Fluid Mechanics

Garant předmětu:

Tomáš Hyhlík

Lecturer:

Tomáš Hyhlík

Tutor:

Tomáš Hyhlík

Supervisor:

Department of Fluid Dynamics and Thermodynamics

Synopsis:

The study subject aim is to expand the students’ knowledge gained from the previous subject Thermomechanics Alfa. The attention is focussed namely on fluids characteristics, various description methods of fluid dynamics under low and high Re number values, boundary layer characteristics and its stability and complex flow characteristics for incompressible

flow.

Requirements:

Syllabus of lectures:

• Flows characteristics. Viscosity and surface tension. Rheology. Newton’s law of friction.

• Non Newtonian fluids.

• Statics of fluids. Euler’s hydrostatic law. External forces potential. Pressure fields under various conditions.

• Kinematic of fluids. Lagrangian method, Eulerian method. Velocity fields and their mapping.

• Fundamental equations of fluid dynamics in integral and differential forms. Continuity equation.

• Navier-Stokes’ equations. Euler’s equation, Bernoulli’s equation. Gromek-Lamb equation.

• Flows of viscous non compressible fluids. Exact and approximate solutions under low Re numbers. Creeping flows.

• Boundary layer and its various cases. Prandtl equations.

• Laminar and turbulent flows.

• Transition into turbulent flows. Stability. Influence of transition.

• Complex flows. Stokes’, Lagrange’s, Thomson’s theorem. Helmholtz’ theorem. Biot-Savart’s law.

• Single vortex lines. Pairs of vortex lines. Vortex fields.

• Singularity method. Thin airfoil theory. Panel method.

Syllabus of tutorials:

Study Objective:

Study materials:

• Munson B. R., Young D. F., Okiishi T. H.: Fundamentals of Fluid Mechanics. Willey, New York

• Streeter V. L., Wylie E. B.: Fluid Mechanics.McGraw-Hill, New York

Note:

Time-table for winter semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed
Thu	roomT4:A2-259 Hyhlík T. 14:15–16:45 (lecture parallel1) Dejvice Učebna 259
Fri

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• 13 136 NSTI MMT 2012 základ (compulsory course in the program)
• 14 141 NSTI AME 2012 základ (compulsory course in the program)