By　means　of　thermal　analysis,　specific　heat　values　of　sinter　with　different　temperatures　are　measured　and　the　linear　function　which　along　with　the　change　of　temperature　is　got.　According　to　the　actual　condition,　the　porous　medium　model　which　describes　the　cooling　process　is　established.　The　influences　on　cooling　process　of　specific　heat　with　fixed　and　variational　values　are　compared.　With　the　variational　specific　heat,　the　effects　on　cooling　process　of　sinter　initial　temperature　and　air　temperature　are　discussed.　The　result　shows　that　both　increasing　sinter　initial　temperature　and　cold　air　temperature　can　improve　the　exhaust　heat　utilization,　but　the　later　delay　the　cooling　time.　©　(2013)　Trans　Tech　Publications,　Switzerland.