A fluid is flowing in fully developed laminar conditions in a tube with diameter D and length

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A fluid is flowing in fully developed laminar conditions in a tube with diameter D and length L at a mass flow rate ṁ. The tube is subjected to a surface heat flux that can be expressed as q̇s(x) = α exp(-bx/2), where a and b are constants. Determine an expression for the difference in mean temperature at the tube inlet and outlet.

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