There is an equipment that allows to measure the heat transfer in fins with at least three different geometric shapes. To develop analysis skills among the students, the Heat Transfer teacher asks them to compare the performance of different cylindrical fins. These are "pin fins" made of aluminum (? = 200 W/m°C) and must be analyzed in terms of their relative performance as a function of diameter. Turning on the equipment, a base temperature of 200°C is recorded, the air temperature in the laboratory is T_∞= 20°C and h = 40 W/m"°C. (a) obtain an expression or mathematical model that allows calculating heat transfer as a function of the diameter of each fin.(b) Five fins with diameters of 2, 5, 10, 15, and 20 mm are available with a length of 10 cm for all, and only heat transfer is considered. heat by convection which of them have a greater heat transfer? heat flux with the diameter of the pin? (d) what would be the main factor to consider during future analysis if the fins appear triangular? Suggest using Excel o Matlab to facilitate calculations.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter8: Natural Convection
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Problem 8.8P
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There is an equipment that allows to measure the heat transfer in fins with at least three different geometric shapes. To develop analysis skills among the students, the Heat Transfer teacher asks them to compare the performance of different cylindrical fins. These are "pin fins" made of aluminum (? = 200 W/m°C) and must be analyzed in terms of their relative performance as a function of diameter. Turning on the equipment, a base temperature of 200°C is recorded, the air temperature in the laboratory is T_∞= 20°C and h = 40 W/m"°C. (a) obtain an expression or mathematical model that allows calculating heat transfer as a function of the diameter of each fin.(b) Five fins with diameters of 2, 5, 10, 15, and 20 mm are available with a length of 10 cm for all, and only heat transfer is considered. heat by convection which of them have a greater heat transfer? heat flux with the diameter of the pin? (d) what would be the main factor to consider during future analysis if the fins appear triangular? Suggest using Excel o Matlab to facilitate calculations.
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