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Another option is to look at alternate recipes...there is one called Pure Alu Ingot which only uses scrap.
For Alu Solution, there is one called Sloppy Alumina. These 2 give you another way to not worry much about by products.
as in factorio you can just merge belt in diffferent ways to achieve this
As others have said, there is no "priority" input/output options.
But, if you know exactly how much additional silica is needed, you can use a balancer/divider to separate out exactly how much you need and send only that amount into the system.
You could also just merge the two silica feeds without regard to throughput and use an overflow (smart) splitter and SINK on the by-product side to ensure it never backs up.
making 120/m Alumina solution, also makes 50/m silica
*2
240/m Alumina comes with 100/m silica
240/m Alumina makes 360/m scrap
So 360/m scrap comes with 100/m silica
90/m scrap + 75/m silica makes 60/m aluminium ingot
*4
360/m scrap + 300/m silica makes 240/m aluminium ingot
and as previously said
So 360/m scrap comes with 100/m silica
so you need 300 silica total, of which you are making 100 already.
Crucially, the silica you are producing is less than half of what you require. This means it should work easily.
Mergers auto balance, in that they take evenly from all input belts.
If there are two input belts, it will take 1 unit from input A, then 1 from input B, etc.
Now say input A is proving less than B, and less than 50% of the demand. The merger will take everything from A, and the rest from B.
E.g. your demand is 300, and you have a merger input supplying 100 and another input supplying more. The merger will take all 100, and up to 200 from the other input.
tl:dr; Put your byproduct silica into one merger input. Put your external silica supply into another input. Leave the third input empty. Connect the output to your aluminium ingot silica demand. And it should work, and take all the byproduct silica and it shouldn't back up.
(as long as you are only making aluminium ingots, and not taking some of the alumina solution elsewhere for something else)
And of course, you can just dump excess silica into an AWESOME Sink
Example: Merger with T5 Belt Output to Aluminum Ingot, T5 Belt Input from Alumina Solution Silica, T2 Belt from Imported Silica.
If you are only worried about silica backing up into the refinery you can add a smart splitter on the alumina solution silica with overflow going to an awesome sink.