A heated fluid layer of depth is confined between rigid plates in a cell of width
PHYSICS · Multi-part · Fermi University Physics · Mathematical Methods for Physics · Thermal, Statistical & Complex Systems · Fourier analysis and integral transforms
Many Parts, One Behaviour, Ch Pattern formation: instabilities that choose a wavelength
Problem
A heated fluid layer of depth d is confined between rigid plates in a cell of width 60d. As quoted from Fluid Dynamics, the first Rayleigh-Benard convection mode to grow at onset has critical wavenumber qcd=3.117.
((a)) Find the spacing of one roll pair, in units of d.
((b)) Estimate how many roll pairs fit across the cell.