Use finite differences with Ar = Ay = 1 to determine the temperature at the remaining points on the plate (as indicated in black in the above sketch) and then answer the following questions.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter11: Calibrating Instruments
Section: Chapter Questions
Problem 4RQ: Temperature-measuring instruments may be designed to measure the temperature of vapors, ________,...
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Questions 1 to 4 refer to the following situation.
Consider the steady two-dimensional transfer of heat in a thin rectangular
plate with constant thermal conductivity.
(0, 2)
(0, 1)
(0,0)
Y
(1,2)
T(0,0)
T(0,2)
(1,1)
(1,0)
=
=
T(2, 2) =
T(3,1) =
(2, 2)
(2,1)¦
70° C
66° C
74° C
74° C
(2,0)
insulation
The bottom edge of the plate is insulated and the temperature at selected.
points on the edge of the plate (as indicated in red in the above sketch) are
given in the table below.
(3,2)
(3,1)
(3,0)
T(0,1)
T(1,2) =
T(3,2) =
T(3,0) =
=
x
66° C
66° C
74° C
105° C
Use finite differences with Ar = Ay = 1 to determine the temperature at the
remaining points on the plate (as indicated in black in the above sketch) and
then answer the following questions.
Transcribed Image Text:Questions 1 to 4 refer to the following situation. Consider the steady two-dimensional transfer of heat in a thin rectangular plate with constant thermal conductivity. (0, 2) (0, 1) (0,0) Y (1,2) T(0,0) T(0,2) (1,1) (1,0) = = T(2, 2) = T(3,1) = (2, 2) (2,1)¦ 70° C 66° C 74° C 74° C (2,0) insulation The bottom edge of the plate is insulated and the temperature at selected. points on the edge of the plate (as indicated in red in the above sketch) are given in the table below. (3,2) (3,1) (3,0) T(0,1) T(1,2) = T(3,2) = T(3,0) = = x 66° C 66° C 74° C 105° C Use finite differences with Ar = Ay = 1 to determine the temperature at the remaining points on the plate (as indicated in black in the above sketch) and then answer the following questions.
1. The
temperature (rounded to the nearest degree celsius) at the point (1,0)
is equal to:
(a) 75° C
(b) 73° C
(c) 72° C
(d) 77° C
(e) 70° C
2. The temperature (rounded to the nearest degree celsius) at the point (2,0)
is equal to:
(a) 82° C
(b) 81° C
(c) 85° C
(d) 84° C
(e) 78° C
3. The temperature (rounded to the nearest degree celsius) at the point (1, 1)
is equal to
4. The temperature (rounded to the nearest degree celsius) at the point (2, 1)
is equal to
Transcribed Image Text:1. The temperature (rounded to the nearest degree celsius) at the point (1,0) is equal to: (a) 75° C (b) 73° C (c) 72° C (d) 77° C (e) 70° C 2. The temperature (rounded to the nearest degree celsius) at the point (2,0) is equal to: (a) 82° C (b) 81° C (c) 85° C (d) 84° C (e) 78° C 3. The temperature (rounded to the nearest degree celsius) at the point (1, 1) is equal to 4. The temperature (rounded to the nearest degree celsius) at the point (2, 1) is equal to
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