The Shock Wave in Your Kitchen Sink — Froude Number and the Hydraulic Jump
Specific energy, critical depth, and the shallow-water to gas-dynamics analogy
Two Functions Added, and a Cylinder Appeared — Complex Potential and d'Alembert's Paradox
Why a uniform stream plus one tiny point gives you cylinder flow for free.
Three Faces of Porous Flow — Darcy, Forchheimer, and Brinkman
A fluid moving through pores wears three different masks as its speed changes.
The Paramecium Swims Through Honey — Where Viscosity Comes From and Why Fourier and Fick Wrote the Same Line
Molecules carry momentum across an imaginary plane — and one identity ties viscosity, heat, and diffusion together
Above Mach 1, You Must Widen to Speed Up — The Laval Nozzle Paradox
When flow crosses sound speed, nozzles and diffusers swap jobs. We trace that one-line identity.
Why a Spinning Ball Curves — Circulation, Magnus, and the Kutta–Joukowski Theorem
The real reason rotating bodies generate lift, and the invisible role of the starting vortex
When the Stream Breaks — Reynolds' Critical Number and the Layered Turbulent Boundary
Where laminar flow falls apart, and how the turbulent boundary stacks itself in three sublayers
Water Boils at 20°C Too — The Physics of Cavitation
How depressurization makes water boil, the cavitation number, and the 10,000-bar collapse.
Two Faces of a Whirl — Free Vortex, Forced Vortex, and Helmholtz
From a bathtub drain to a tornado, what vorticity actually measures
Why Water Streams Break into Droplets — Plateau–Rayleigh Instability and Breakup Regimes
The principle of surface tension fragmenting liquid jets into droplets and the dimensionless map of spray design.
Bugs Swim in Honey — The World of Flow Changed by Reynolds Number
The Reynolds number revealed by non-dimensionalization, and how scale creates differences in flow.
Reynolds Number and Flow Transition, Through Visualization
Understand Reynolds number and laminar–turbulent transition through interactive visualization