One-dimensional steady state heat transfer problem - Consider a 60-mm long aluminum fin W mK (k = 186 ) with thickness of 1 mm. The width (into the paper) is 5 mm. The aluminum is exposed to air with an ambient temperature of Tf = 15°C and convective heat transfer coefficient of h = 50- surface whose temperature is T₁ = 80° C. W m²K T base = 80 C T15 C h = 50 W/m2K The fin is utilized to remove heat from a Consider the problem as a one-dimensional steady state model and divide the fin into four (4) elements with equal size as shown in the figure above. Using the Finite Difference Method, obtain the discretization for each node (2,3,4, and 5). Please note that in addition to the conduction, each node (except 1) is exposed to lateral heat convection. So, you must include this factor when considering the heat balance on each node. For this problem 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 E. Show the outcomes and make a plot of T vs x using Excel or Matlab F. Compute the total heat transfer by the fin based on the temperature outputs

One-dimensional steady state heat transfer problem - Consider a 60-mm long aluminum fin W mK (k = 186 ) with thickness of 1 mm. The width (into the paper) is 5 mm. The aluminum is exposed to air with an ambient temperature of Tf = 15°C and convective heat transfer coefficient of h = 50- surface whose temperature is T₁ = 80° C. W m²K T base = 80 C T15 C h = 50 W/m2K The fin is utilized to remove heat from a Consider the problem as a one-dimensional steady state model and divide the fin into four (4) elements with equal size as shown in the figure above. Using the Finite Difference Method, obtain the discretization for each node (2,3,4, and 5). Please note that in addition to the conduction, each node (except 1) is exposed to lateral heat convection. So, you must include this factor when considering the heat balance on each node. For this problem 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 E. Show the outcomes and make a plot of T vs x using Excel or Matlab F. Compute the total heat transfer by the fin based on the temperature outputs

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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One-dimensional steady state heat transfer
problem - Consider a 60-mm long aluminum fin
mk
(k = 186) with thickness of 1 mm. The width
(into the paper) is 5 mm. The aluminum is exposed
to air with an ambient temperature of Tf = 15°C
and convective heat transfer coefficient of h = 50
surface whose temperature is T = 80° C.
W
m²K
T base = 80 C
Tid 15 C
(3)
h = 50 W/m2K
The fin is utilized to remove heat from a
C. Show the set of linear equations to be solved
D. Show either the EES script or Matlab script
E.
Show the outcomes and make a plot of T vs x using Excel or Matlab
F. Compute the total heat transfer by the fin based on the temperature outputs
Consider the problem as a one-dimensional steady state model and divide the fin into four (4)
elements with equal size as shown in the figure above. Using the Finite Difference Method,
obtain the discretization for each node (2,3,4, and 5). Please note that in addition to the
conduction, each node (except 1) is exposed to lateral heat convection. So, you must include
this factor when considering the heat balance on each node. For this problem
A. Show the discretization for node 2
B. Show the discretization for node 5

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