For a brick in the shape of a finite cylinder with a triangular cross section (as is used at the junction of two orthogonal walls), with vertices at (0, 0, 0) m, (0, 0, 0.10) m, (0, 0.20, 0) m, (0, 0.20, 0.10) m, (0.20, 0, 0) m, and (0.20, 0, 0.10) m, the temperature distribution (in Cartesian coordinates) is T(z,y,z,1)=(8xy m¹+12yz m-¹ +9zts-¹) Cm-¹ Compute the heat transfer rate to the brick as a function of time. (Using the ME 300 sign convention, this will be a positive quantity if the net flow of heat is into the brick.) Use * = 0.60 W/(mK).

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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.4P
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1. For a brick in the shape of a finite cylinder with a triangular cross section (as is used at the junction of
two orthogonal walls), with vertices at (0, 0, 0) m, (0, 0, 0.10) m, (0, 0.20, 0) m, (0, 0.20, 0.10) m.
(0.20, 0, 0) m, and (0.20, 0, 0.10) m, the temperature distribution (in Cartesian coordinates) is
I(z,y,z,1)= (8xy m-¹ +12yz m-¹ +9zts-¹) Cm-¹
Compute the heat transfer rate to the brick as a function of time. (Using the ME 300 sign convention,
this will be a positive quantity if the net flow of heat is into the brick.) Use = 0.60 W/(m K).
Transcribed Image Text:Ayy 1. For a brick in the shape of a finite cylinder with a triangular cross section (as is used at the junction of two orthogonal walls), with vertices at (0, 0, 0) m, (0, 0, 0.10) m, (0, 0.20, 0) m, (0, 0.20, 0.10) m. (0.20, 0, 0) m, and (0.20, 0, 0.10) m, the temperature distribution (in Cartesian coordinates) is I(z,y,z,1)= (8xy m-¹ +12yz m-¹ +9zts-¹) Cm-¹ Compute the heat transfer rate to the brick as a function of time. (Using the ME 300 sign convention, this will be a positive quantity if the net flow of heat is into the brick.) Use = 0.60 W/(m K).
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