Abstract
The study concerns an unsteady natural convection boundary layer (NCBL) over a geometrically unbounded vertical isothermal wall with Prandtl number of Pr = 0:71. A three-dimensional direct numerical simulation (DNS) is carried out to investigate the NCBL. In the present study we identify the plume-like region of the NCBL by a wall-normal distance di at which point the molecular diffusion matches the magnitude of the turbulent heat flux. Based on the DNS data, we have found that the plume-like region of the turbulent NCBL can be well described by the integral model supplied by proper boundary conditions at di. The profile coefficients obtained from the integral model appears independent of the growth of the boundary layer thickness, indicating the outer part plume-like region is self-similar.
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