One-dimensional transient - Consider a 60-mm long aluminum fin (k = 186) with thickness of 1 mm. W mK The width (into the paper) is 5 mm. The aluminum is exposed to air with an ambient temperature of T₁ = 15°C and convective heat transfer coefficient of h = 50- from a surface whose temperature is T = 80° C. T base = 80 C W m²K T15 C h = 50 W/m2K (1) 2 (2) 3 (3) 4 (4) The fin is utilized to remove heat Consider the problem above for transient analysis. Using either implicit or explicit method, obtain solution of temperatures until it reaches steady state. If you are using the explicit method, please select appropriate time step that ensures stability. If you are using implicit method, then any time step should be good. For this problem, consider p = 2500 kg and Cp = 900 Assume that initially, the fin is at 25°C, while the node 1 is always 80° C from t = 0 sec. kgK a. Show the discretization for node 2 b. Show the discretization for node 5 c. Show the set of linear equations to be solved d. Show either the EES script or Matlab script and its explanation e. Make a plot of T of nodes 3 and 5 vs time using Excel or Matlab

One-dimensional transient - Consider a 60-mm long aluminum fin (k = 186) with thickness of 1 mm. W mK The width (into the paper) is 5 mm. The aluminum is exposed to air with an ambient temperature of T₁ = 15°C and convective heat transfer coefficient of h = 50- from a surface whose temperature is T = 80° C. T base = 80 C W m²K T15 C h = 50 W/m2K (1) 2 (2) 3 (3) 4 (4) The fin is utilized to remove heat Consider the problem above for transient analysis. Using either implicit or explicit method, obtain solution of temperatures until it reaches steady state. If you are using the explicit method, please select appropriate time step that ensures stability. If you are using implicit method, then any time step should be good. For this problem, consider p = 2500 kg and Cp = 900 Assume that initially, the fin is at 25°C, while the node 1 is always 80° C from t = 0 sec. kgK a. Show the discretization for node 2 b. Show the discretization for node 5 c. Show the set of linear equations to be solved d. Show either the EES script or Matlab script and its explanation e. Make a plot of T of nodes 3 and 5 vs time using Excel or Matlab

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter8: Natural Convection

Section: Chapter Questions

Problem 8.8P

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