7.127: Circular fins of uniform cross section, with diameter of 10 mm and length of 50 mm, are attached to a wall with surface temperature of 350°C. The fins are made of material with thermal conductivity of 240 W/m-K, and they are exposed to an ambient air condition of 25°C and the convection heat transfer coefficient is 250 W/m².K. Determine the heat transfer rate and plot the temperature variation of a single fin for the following boundary conditions: (a) Infinitely long fin (b) Adiabatic fin tip (c) Fin with tip temperature of 250°C (d) Convection from the fin tip (e) Tabulate the values for the temperature variations for parts (a) to (d) () Plot the temperature variations for parts (a) to (d) (g) Explain your plot. Solution: Write orderly & Clean. Detail solution is required: [Formula, substitutions, answers, units]

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.54P
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Can someone please help me to solve all of the following question showing all work and explanation as well as graphs needed in excel with formulas. Thank you!
Problem 17.127: Circular fins of uniform cross section, with diameter of 10 mm and length of 50 mm, are attached
to a wall with surface temperature of 350°C. The fins are made of material with thermal conductivity of 240
W/m-K, and they are exposed to an ambient air condition of 25°C and the convection heat transfer coefficient is 250
W/m²-K. Determine the heat transfer rate and plot the temperature variation of a single fin for the following
boundary conditions:
(a) Infinitely long fin
(b) Adiabatic fin tip
(c) Fin with tip temperature of 250°C
(d) Convection from the fin tip
(e) Tabulate the values for the temperature variations for parts (a) to (d)
() Plot the temperature variations for parts (a) to (d)
(g) Explain your plot.
Solution: Write orderly & Clean. Detail solution is required: [Formula, substitutions, answers, units]
Tb
k
h, To
Ab = Ac
x = 0
FIGURE P17-127
per
D
Transcribed Image Text:Problem 17.127: Circular fins of uniform cross section, with diameter of 10 mm and length of 50 mm, are attached to a wall with surface temperature of 350°C. The fins are made of material with thermal conductivity of 240 W/m-K, and they are exposed to an ambient air condition of 25°C and the convection heat transfer coefficient is 250 W/m²-K. Determine the heat transfer rate and plot the temperature variation of a single fin for the following boundary conditions: (a) Infinitely long fin (b) Adiabatic fin tip (c) Fin with tip temperature of 250°C (d) Convection from the fin tip (e) Tabulate the values for the temperature variations for parts (a) to (d) () Plot the temperature variations for parts (a) to (d) (g) Explain your plot. Solution: Write orderly & Clean. Detail solution is required: [Formula, substitutions, answers, units] Tb k h, To Ab = Ac x = 0 FIGURE P17-127 per D
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