ETH_FluidDynamics

links - FluidDynamics

everything on moodle

Info

coordinator: Kelken Chang kechang@ethz.ch
exam
- fl midterm (@2026-04-01@18:30)-20:00 (wednesday)
- final exam: multiple choice, same format as homework
exercises
- not graded; assigned on wednesdays, solutions provided one week later
practice classes
- ETH_FluidDynamics_Übungen

Hilfsmittel FluidDynamics - fundamentals (midterm + final)

Hilfsmittel FluidDynamics - advanced

midterm FS24 (2.25h)
midterm FS23.2 (1.6h)
midterm FS25 (1.5h)
midterm FS23.1 (1.6h) most difficult midterm
FS24 (>1h) solved only first part till F
midterm FS24 (1.5h, with cheating)

2.0: [[20260414_fl_serie0_sover.ipynb]]

#timestamp 2026-03-04

Reynolds Transport Theorem (RTT):

the change of a property $ϕ$ in a fluid volume $=$ change of $ϕ$ in a fixed space (volume) $+$ net flow of $ϕ$ though boundary of space

#timestamp 2026-03-16

bernoulli equation (inviscid, steady, incompressible flow, only gravity as body force)

\frac{1}{2} u^{2} + g z + \frac{p}{ρ} = const. along streamline

conservation of energy (fixed control volume $V_{c}$ and surface $Σ_{c}$ ):

\underset{rate of change of energy in V_{c}}{\underset{⏟}{\frac{d}{d t} \int_{V_{c}} ρ (e + \frac{1}{2} u^{2}) d Ω}} + \underset{net energy flux out of Σ_{c}}{\underset{⏟}{\int_{Σ_{c}} ρ (e + \frac{1}{2} u^{2}) \underset{―}{U} \cdot \underset{―}{n} d σ}}

= \underset{work by surface forces}{\underset{⏟}{\int_{Σ_{c}} (\underset{―}{n} \cdot τ \cdot \underset{―}{U}) d σ}} + \underset{work by body forces}{\underset{⏟}{\int_{V_{c}} ρ \underset{―}{f_{m}} \cdot \underset{―}{U} d Ω}} - \underset{heat loss by conduction}{\underset{⏟}{\int_{Σ_{c}} \underset{―}{q} \cdot \underset{―}{n} d σ}} + \underset{internal heat sources}{\underset{⏟}{\int_{V_{c}} Q d Ω}}

-> closer streamlines $\hat{=}$ faster fluid $\hat{=}$