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In this work we discuss the recent criticism by Zdziarski of the maximal jetmodel derived in Falcke & Biermann (1995). We agree with Zdziarski that ingeneral a jet's internal energy is not bounded by its rest-mass energy density.We describe the effects of the mistake on conclusions that have been made usingthe maximal jet model and show when a maximal jet is an appropriate assumption.The maximal jet model was used to derive a 1-D hydrodynamical model of jets inagnjet, a model that does multiwavelength fitting of quiescent/hard state X-raybinaries and low-luminosity active galactic nuclei. We correct algebraicmistakes made in the derivation of the 1-D Euler equation and relax the maximaljet assumption. We show that the corrections cause minor differences as long asthe jet has a small opening angle and a small terminal Lorentz factor. We findthat the major conclusion from the maximal jet model, the jet-disk symbiosis,can be generally applied to astrophysical jets. We also show that isothermaljets are required to match the flat radio spectra seen in low-luminosity X-raybinaries and active galactic nuclei, in agreement with other works.

The jet-disk symbiosis without maximal jets: 1-D hydrodynamical jets revisited