In a furnace such as a glassmelting furnace, a portion of the combustion products formed by combustion of fuel with gaseous oxidant within the furnace are passed through a recuperative or regenerative heat exchanger system to heat a portion of the incoming gaseous oxidant, and a portion of the combustion products are passed instead through a secondary heat exchanger system, wherein the hot combustion products and oxidant which are passed through said first heat exchanger are passed at a heat capacity rate ratio of combustion products to oxidant of less than 1.3.
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