Adattamento da un'altra risposta
set @brand_id= '';
set @num = 0;
select
products.id, products.brand_id,
@num := if(@brand_id= brand_id, @num + 1, 1) as dummy_1,
@brand_id:= brand_id as dummy_2,
@num as row_number
from products
where brand_id IN ('1', '2','3')
group by
brand_id,
row_number
having row_number <= 10;