Inspectionofequation(4.E.1-26)indicatesthatconductioninthez-directioncanbeignoredifH/W1,whichisthecaseforathinwidefinsuchasthatbeingconsideredhere(step8).Furthermore,ifweinvokethelowBiotnumberapproxi-mationdevelopedinSection4.4(i.e.,Bit1),equation(4.E.1-17)indicatesthatthetemperaturegradientinthey-directionwillbeessentiallyzero,whichimpliesthatthetemperaturewillbeconstantacrossthethicknessofthefin.AnalogouslytotheprocedureusedinSection4.4,letusintegrateequation(4.E.1-26)acrossthecross-sectionalareaofthefin:
Inspectionofequation(4.E.1-26)indicatesthatconductioninthez-directioncanbeignoredifH/W1,whichisthecaseforathinwidefinsuchasthatbeingconsideredhere(step8).Furthermore,ifweinvokethelowBiotnumberapproxi-mationdevelopedinSection4.4(ie,Bit1),equation(4.E.1-17)indicatesthatthetemperaturegradientinthey-directionwillbeessentiallyzero,whichimpliesthatthetemperaturewillbeconstantacrossthethicknessofthefin.AnalogouslytotheprocedureusedinSection4.4,letusintegrateequation(4.E.1-26)acrossthecross-sectionalareaofthefin:
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