Exact Closed-Form Result for the Heat Transfer From Convecting-Radiating Fin of Rectangular Shape
الموضوعات : مجله بین المللی ریاضیات صنعتی
E. Shivanian
1
(
Department of Applied Mathematics, Imam Khomeini International
University, Qazvin, Iran.
)
F. Sohrabi
2
(
Department of Applied Mathematics, Imam Khomeini International University, Qazvin, Iran.
)
الکلمات المفتاحية: Fin efficiency, Heat transfer rate, Exact analytical solution, Temperature distribution, Unique solution,
ملخص المقالة :
In this letter, the problem of determining heat transfer from convecting-radiating fin of rectangular shape is investigated. We consider steady conduction in the fin and neglect radiative exchange between adjacent fins and between the fin and its primary surface. It is demonstrated that the governing fin equation is exactly solvable. The exact, closed-form analytical solutions in implicit form are convenient for physical interpretation and optimization for maximum heat transfer.
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