Required information Consider steady two-dimensional heat conduction in a square cross section (3 cm × 3 cm, k= 20 W/m-K, a= 6.694 × 10-6 m2/s) with constant prescribed temperature of 100°C and 300°C at the top and bottom surfaces, respectively. The left surface is exposed to a constant heat flux of 1000 W/m2 while the right surface is in contact with a convective environment (h = 45 W/m2.K) at 20°C. Take a uniform mesh size of Ax =Ay. 100°C 2 3 h = 45 W/m²-K 4 = 1000 W/m² T = 20°C 8 7 300°C Determine the temperature of node 5. (Note: Round off the answer up to 1 decimal place.) T5 =[ 300,7 °C

Required information Consider steady two-dimensional heat conduction in a square cross section (3 cm × 3 cm, k= 20 W/m-K, a= 6.694 × 10-6 m2/s) with constant prescribed temperature of 100°C and 300°C at the top and bottom surfaces, respectively. The left surface is exposed to a constant heat flux of 1000 W/m2 while the right surface is in contact with a convective environment (h = 45 W/m2.K) at 20°C. Take a uniform mesh size of Ax =Ay. 100°C 2 3 h = 45 W/m²-K 4 = 1000 W/m² T = 20°C 8 7 300°C Determine the temperature of node 5. (Note: Round off the answer up to 1 decimal place.) T5 =[ 300,7 °C

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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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

Required information
Consider steady two-dimensional heat conduction in a square cross section (3 cm x 3 cm, k= 20 W/m-K, a = 6.694 × 10-6
m2/s) with constant prescribed temperature of 100°C and 300°C at the top and bottom surfaces, respectively. The left
surface is exposed to a constant heat flux of 1000 W/m2 while the right surface is in contact with a convective
environment (h = 45 W/m2-K) at 20°C. Take a uniform mesh size of Ax = Ay.
100°C
2
4
h = 45 W/m2-K
4 = 1000 W/m2
T = 20°C
8
7
300°C
Determine the temperature of node 5.
(Note: Round off the answer up to 1 decimal place.)
T5 =
300.7 °C
6.

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