The onset of square convective cells in fluid layers heated from below is investigated. Amplitude equations are deduced from the Boussinesq equations and a standard stability analysis is performed. Square cells are shown to be preferred when the instability is mainly capillarity driven. The influence of the Prandtl and Biot numbers are examined. At small Pr, the Biot number has not very much in...

incompressible fluid between two infinite vertical parallel plates in the presence of constant temperature and mass diffusion has been investigated analytically. The method of Laplace transform is used to solve the dimensionless governing partial differential equations. The velocity, temperature and concentration profiles have been presented for different parameters like Prandtl number, Schmidt...