Fin heat rate by method: Analytical solution using average fin surface temperature T ¯ s = 125 ° C of to estimate the free convection and linearized radiation coefficients.

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Answer 1

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Chapter 9, Problem 9.63P

(a)

To determine

Fin heat rate by method: Analytical solution using average fin surface temperature T¯s=125°C of to estimate the free convection and linearized radiation coefficients.

(b)

To determine

Heat rate by method: FEM when coefficients are based upon local temperatures, rather than an average fin surface temperature.

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Consider a horizontal 5-mm-thick, 80-mm-long straight fin fabricated from plain carbon steel (k = 57 W/m-K, = 0.5). The base of the fin is maintained at 100°C, while the quiescent ambient air and the surroundings are at 25°C. Assume the fin tip is adiabatic, and estimate the fin heat rate per unit width, a', in W/m. Use an average fin surface temperature of 80°C to estimate the free convection coefficient, and the linearized radiation coefficient,,, in W/m²K. a's = h= ܐ h₂ = i i W/m W/m².K W/m².K

A black thermocouple measures the temperature in a chamber with black walls. If the air around the thermocouple is at 20°C, the walls are at 100°C, and the heat transfer coefficient between the thermocouple and the air is 15 W/m?K, what temperature will the thermocoule read?

An overhead 25-m-long, uninsulated industrial steam pipe of 162-mm diameter is routed through a building whose walls and air are at 25°C. Pressurized steam maintains a pipe surface temperature of 150°C, and the coefficient associated with natural convection is h = 10 W/m².K. The surface emissivity is ε = 0.8. (a) What is the rate of heat loss from the steam line? (b) If the steam is generated in a gas-fired boiler operating at an efficiency of MJ, what is the annual cost of heat loss from the line? = 0.90 and natural gas is priced at Cg = $0.02 per

Answer 2

Question

Chapter 9, Problem 9.63P

(a)

To determine

Fin heat rate by method: Analytical solution using average fin surface temperature T¯s=125°C of to estimate the free convection and linearized radiation coefficients.

(b)

To determine

Heat rate by method: FEM when coefficients are based upon local temperatures, rather than an average fin surface temperature.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

Question

Chapter 9, Problem 9.63P

(a)

To determine

Fin heat rate by method: Analytical solution using average fin surface temperature T¯s=125°C of to estimate the free convection and linearized radiation coefficients.

(b)

To determine

Heat rate by method: FEM when coefficients are based upon local temperatures, rather than an average fin surface temperature.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 9, Problem 9.63P

(a)

To determine

Fin heat rate by method: Analytical solution using average fin surface temperature T¯s=125°C of to estimate the free convection and linearized radiation coefficients.

(b)

To determine

Heat rate by method: FEM when coefficients are based upon local temperatures, rather than an average fin surface temperature.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 9, Problem 9.63P

(a)

To determine

Fin heat rate by method: Analytical solution using average fin surface temperature T¯s=125°C of to estimate the free convection and linearized radiation coefficients.

(b)

To determine

Heat rate by method: FEM when coefficients are based upon local temperatures, rather than an average fin surface temperature.

Answer 6

Chapter 9, Problem 9.63P

(a)

To determine

Fin heat rate by method: Analytical solution using average fin surface temperature T¯s=125°C of to estimate the free convection and linearized radiation coefficients.

Answer 7

Chapter 9, Problem 9.63P

(a)

To determine

Fin heat rate by method: Analytical solution using average fin surface temperature T¯s=125°C of to estimate the free convection and linearized radiation coefficients.

Answer 8

(b)

To determine

Heat rate by method: FEM when coefficients are based upon local temperatures, rather than an average fin surface temperature.

Answer 9

(b)

To determine

Heat rate by method: FEM when coefficients are based upon local temperatures, rather than an average fin surface temperature.

Answer 10

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Answer 11

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Answer 12

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Answer 13

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Fin heat rate by method: Analytical solution using average fin surface temperature T ¯ s = 125 ° C of to estimate the free convection and linearized radiation coefficients.

Solution Summary: The author calculates the fin heat rate using an analytical solution using average fin surface temperature to estimate the free convection and linearized radiation coefficients.

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Fin heat rate by method: Analytical solution using average fin surface temperature T¯s=125°C of to estimate the free convection and linearized radiation coefficients.

Heat rate by method: FEM when coefficients are based upon local temperatures, rather than an average fin surface temperature.

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