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We use scaling analysis and direct numerical simulation (DNS) to investigate the decay of initially isotropic turbulence in rectangular boxes with solid no-slip walls and of different aspect ratios. The problem under consideration is initialized with an initially isotropic turbulent field, from which volumes of different aspect ratios are extracted and along whose boundaries solid walls are placed. Depending on the aspect ratio, we observe different rates of kinetic energy decay. Using simple theoretical arguments, we develop a scaling law for the kinetic energy with respect to time based on dissipation at the wall, in which the relevant length scale is the volume to surface ratio. We verify this scaling using the DNS results.

A numerical study of turbulence in boxes with no-slip walls and of varying volume-to-surface ratios