This post explores three "frontier" problem sets in advanced fluid mechanics, moving from exact mathematical solutions to the unsolved mysteries of non-Newtonian behavior and turbulence.
When a tiny particle, like a dust mote or a micro-organism, moves through a viscous fluid, the inertial forces are negligible compared to viscous forces. This occurs at very low Reynolds numbers ( The Mathematical Solution By setting the density advanced fluid mechanics problems and solutions
Problem D — Rarefied gas flow in microchannels (slip/transition regime) This post explores three "frontier" problem sets in
is a dimensionless function of the stream function. This equation is solved numerically with boundary conditions The solution yields the boundary layer thickness ( This equation is solved numerically with boundary conditions
An infinite flat plate oscillates in its own plane with velocity ( U_0 \cos(\omega t) ) in a viscous fluid initially at rest. Find the velocity field ( u(y,t) ) for all ( y > 0 ).