By Baxter G.P., Hartmann M.L.
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Extra resources for A Revision of the Atomic Weight of Cadmium (1914)(en)(4s)
1). Freund (2001) computed a cold jet adapted to the experiments of Stromberg et al. (1980). The corresponding temperature profile cannot be enforced in a temporal simulation, where the flow is developed and statistically stationary. For the present simulations we used the temperature profile given by the isothermal duct simulations, in order to avoid an additional uncertainty by introducing an energy sink to reproduce the cold temperature profile. For details of the duct simulation and definition of all the parameters see appendix B.
At the inflow the jet-profile with the superimposed time-dependent spatial eigenmode was enforced. The eigenfunctions were normalized such that max(|ˆ u1 |) = 1. At the outflow non-reflecting boundary conditions in combination with a sponge layer (eq. 9) were applied. 2. The spatial growth rates were computed sampling the u1 -velocity over 10 oscillation periods in time and evaluating the modal growth of the instability by a temporal Fourier transform of the signal. 4 (a). A strong deviation from the theoretical value from linear stability is observed when no sponge at all is used.
For the present investigation the intention was to set up a reference simulation with clearly defined inflow disturbances for later validation of a large-eddy simulation. By merely enforcing a laminar profile, transition would have been triggered by numerical roundoff errors and therefore would have rendered the simulation results grid-dependent, which was undesirable. An instability-mode forcing was therefore used for the present simulation as described in the following. 2: Eigenfunctions for the profile along the minor axis of the jet, magnitude, real part, imaginary part.