Study how changes in boundary temperatures on a steel plate affect the temperatures at interior points on the plate. Complete parts (a) through (c) below. Plate A 20° 20° 0° 0° 20° 20° 0° 14° 0° 14° Plate B 0° 0° 14° 14° 22° 14° 22° 14° Plate C 20° 20° 34° 34° 22° 22° a. Begin by estimating the temperature T1, T2, T3, T4 at the sets of four points on the steel plates A and B shown in the figure. In each case, the value of Tk is approximated by the average of the temperatures at the four closest points. The answer should be in the form (T1, T2, T3, T4). Plate A interior temperatures = (,,, ) (Type integers or decimals. Do not include the degree symbol in your answers.)
Study how changes in boundary temperatures on a steel plate affect the temperatures at interior points on the plate. Complete parts (a) through (c) below. Plate A 20° 20° 0° 0° 20° 20° 0° 14° 0° 14° Plate B 0° 0° 14° 14° 22° 14° 22° 14° Plate C 20° 20° 34° 34° 22° 22° a. Begin by estimating the temperature T1, T2, T3, T4 at the sets of four points on the steel plates A and B shown in the figure. In each case, the value of Tk is approximated by the average of the temperatures at the four closest points. The answer should be in the form (T1, T2, T3, T4). Plate A interior temperatures = (,,, ) (Type integers or decimals. Do not include the degree symbol in your answers.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Study how changes in boundary temperatures on a steel plate affect the temperatures at interior points on the plate. Complete parts (a)
through (c) below.
Plate A
20° 20°
0°
0°
20°
20°
0° 14°
0° 14°
Plate B
0°
0°
14°
14°
22° 14°
22° 14°
Plate C
20° 20°
34°
34°
22°
22°
a. Begin by estimating the temperature T1, T2, T3, T4 at the sets of four points on the steel plates A and B shown in the figure. In each case, the value of Tk is approximated by the average of the temperatures at
the four closest points. The answer should be in the form (T1, T2, T3, T4).
Plate A interior temperatures = (,,, )
(Type integers or decimals. Do not include the degree symbol in your answers.)
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