5 ms·
Fluid has so much to bend the mind. Soliton waves, shocks, expansions, critical transition phenomena (besides phase transition) Look at froude number and plann
by tobmlt 5y ago
Fluid has so much to bend the mind. Soliton waves, shocks, expansions, critical transition phenomena (besides phase transition)
Look at froude number and planning hulls, the purpose of chines, steps, etc. in a high speed hull to manage skin friction vs wave drag. Wave Dispersion, wave superposition, etc. the free surface itself means if you are solving for flow, flow then determines the free surface which then determines the flow.. add infinitum. It’s nonlinear like a baby general relativity in that way. The shallow water equations are hyperbolic so you get shocks etc. deep water, long wavelength waves act in linear fashion so you get superposition effects. On and on. Fun times.
- awestroke 5y agoCan you recommend any books on this?
- mr_overalls 5y agoFluid mechanics is a standard course in many undergraduate engineering curriculum. A quick Google search reveals lots of open-source and downloadable pdfs of printed texts. https://open.umn.edu/opentextbooks/textbooks/85 https://open.umn.edu/opentextbooks/textbooks/85 http://civilcafe.weebly.com/uploads/2/8/9/8/28985467/fluid_mechanics.pdf http://civilcafe.weebly.com/uploads/2/8/9/8/28985467/fluid_m...
- tobmlt 5y agoMr_overalls has the overview idea covered. I might add that if you start with the Reynolds transport theorem, you can’t go wrong, but that might be the wrong-math-way-around for you. Are there particular aspects you are interested in? E.g. Computational methods Turbulence Topology / geometry Shocks and expansions Superposition, radiation/diffraction, added mass Analogues with other systems Some of this stuff involves simplifying assumptions. Sometimes those reveal neat corners of behavior. (E.g. the superposition business) Some of it might be better introduced qualitatively at first, like say turbulence. It all depends where you are. By the way, I don’t know some great amount of this stuff at some expert level. I may be able to guide you in some direction of interest is all. I wish I knew of an overview which scanned across all this funny behavior but some is pretty widely separated. Naval architecture text books focus on the linear aspects, and the free surface of course. Cfd (computational fluid dynamics) just about has to deal with “everything else” except the topology and “geometry of” (physics, mechanics, fluids, etc) which kind of lives the hermit life, like the quaternions or geometric algebra or something.
- throwawaysea 5y agoThere must be a few general equations that capture all these behaviors in fluids right? That is, aren’t all these just “emergent” aspects of some fundamental physics?
- bilog 5y agoThe equations are conceptually simple: Navier-Stokes equations (conservation of momentum) and conservation of mass. The behavior is emergent.
- tobmlt 5y agoYep. Just as bilog says. Navier Stokes. There are additional aspects that may or may not be lumped in somebody’s exposition - such as the transport of heat and coupling of the energy equation in the compressible Navier-Stokes equations.
- tragomaskhalos 5y agoFluid dynamics was an entire optional module in my maths degree, there is so much complex content there. (I didn't take it, it looked too hard!)
- dan-robertson 5y agoI took the introductory fluids course at my university but eventually gave up as I could never figure out the right approximations to take and I couldn’t build the intuition. It didn’t help that I was paired with a guy I didn’t like for homework. Some of my friends did like it though (one got to explain how he spent his summer in the maths department learning about fingering.) After I graduated, I returned to visit some friends doing master’s degrees and it was only at this point that I learned there was a moderately large laboratory under the maths department doing real physical experiments with actual fluids.