As you know process simulators' solver can be categurised in 2 forms :sequential modular like ProII and Aspen+ in default mode and equation-oriented like hysys and Aspen+ in EO mode.
In sequential mode the solver solves material and energy balance equations module by module and in forward direction.So,in cases that exist recycle stream loop the user or software should select a tear stream and puts the recycle block there that is basically a mathematic algorithm like direct substitution,wegstein,newton and etc.
But in EO mode the solver solves all the equations simultanously for all blocks that user include them in pfd.So I think that there is not any necessity to use recycle block for example in hysys .I tried hysys cases files like Gas Sweetening process and deleted recycle block and solved it again and it converged very good .

I should be grateful if you would send me your valuable comments about it.