(a) Estimate the thermal conductivity of the wall. The second situation involves the same planar wall. Instead of fast-moving water, however, the fluid is air. At x = 0.5 inches, the measured temperature is 96.5 °F. Also, at x = 1.5 inches, the temperature is 91.5 °F. For case II: (b) What is the value of the heat flux through the planar wall? (c) What are the values of the convective heat transfer coefficients, h, and h (d) What is the value of T₁?

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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.9P: 3.9 The heat transfer coefficients for the flow of 26.6°C air over a sphere of 1.25 cm in diameter...
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(a) Estimate the thermal conductivity of the wall.
The second situation involves the same planar wall. Instead of fast-moving water,
however, the fluid is air. At x = 0.5 inches, the measured temperature is 96.5 °F. Also, at
x = 1.5 inches, the temperature is 91.5 °F.
For case II:
(b) What is the value of the heat flux through the planar wall?
(c) What are the values of the convective heat transfer coefficients, h, and h
(d) What is the value of T₁?
Transcribed Image Text:(a) Estimate the thermal conductivity of the wall. The second situation involves the same planar wall. Instead of fast-moving water, however, the fluid is air. At x = 0.5 inches, the measured temperature is 96.5 °F. Also, at x = 1.5 inches, the temperature is 91.5 °F. For case II: (b) What is the value of the heat flux through the planar wall? (c) What are the values of the convective heat transfer coefficients, h, and h (d) What is the value of T₁?
2. Heat transfer coefficients can be difficult to measure, particularly for situations involving
fast-moving fluids. In some cases however, the magnitude of the heat transfer
coefficients can be estimated to a sufficient degree to enable further analysis of the larger
problem.
In a situation such as that described in the preceding paragraph, heat transfer occurs
through the planar wall shown in the figure below. Two thermal situations are to be
considered. In case I, the temperature of the fluid to the left of the wall is 130.5 °F and
the fluid on the right is at 71.3 °F. Both sides of the planar wall are washed by fast-
moving water. The exact values of the convective heat transfer coefficients are unknown.
The heat flux through the wall is measured to be 42.6 Btu/hr-ft².
2 inches
Tfl
h₁
T₁
T₂
T₁²
11₂
Transcribed Image Text:2. Heat transfer coefficients can be difficult to measure, particularly for situations involving fast-moving fluids. In some cases however, the magnitude of the heat transfer coefficients can be estimated to a sufficient degree to enable further analysis of the larger problem. In a situation such as that described in the preceding paragraph, heat transfer occurs through the planar wall shown in the figure below. Two thermal situations are to be considered. In case I, the temperature of the fluid to the left of the wall is 130.5 °F and the fluid on the right is at 71.3 °F. Both sides of the planar wall are washed by fast- moving water. The exact values of the convective heat transfer coefficients are unknown. The heat flux through the wall is measured to be 42.6 Btu/hr-ft². 2 inches Tfl h₁ T₁ T₂ T₁² 11₂
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