For a slab with thickness 2 cm, the temperature is maintained at To and T at x = 0 and x = L When T, -40 °C and T₂ = 60 °C, a heat flux sensor measures the magnitude of the heat flux as 40 W/m². Assume that the thermal conductivity k is a linear function of temperature. a) If, when T₁ =40 °C and T₁ = 80 °C, the same heat flux sensor measures the magnitude of the heat flux as 80 W/m², what is the temperature dependence of k? b) If, when To=40 °C and T1 = 80 °C, the same heat flux sensor measures the magnitude of the heat flux as 100 W/m², what is the temperature dependence of k? c) If, when I, -40 °C and T₁ = 80 °C, the same heat flux sensor measures the magnitude of the heat flux as 60 W/m², what is the temperature dependence of k?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.23P: Using the information in Problem 1.22, estimate the ambient air temperature that could cause...
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For a slab with thickness 2 cm, the temperature is maintained at To and I at x = 0 and x = L.
When I, -40 °C and I₁ = 60 °C, a heat flux sensor measures the magnitude of the heat flux as
40 W/m². Assume that the thermal conductivity k is a linear function of temperature.
a) If, when T₁ -40 °C and T₁ = 80 °C, the same heat flux sensor measures the magnitude of the heat
flux as 80 W/m², what is the temperature dependence of k?
b) If, when To=40 °C and T₁ = 80 °C, the same heat flux sensor measures the magnitude of the heat
flux as 100 W/m², what is the temperature dependence of k?
c) If, when T₁ -40 °C and T₁ = 80 °C, the same heat flux sensor measures the magnitude of the heat
flux as 60 W/m², what is the temperature dependence of k?
Transcribed Image Text:For a slab with thickness 2 cm, the temperature is maintained at To and I at x = 0 and x = L. When I, -40 °C and I₁ = 60 °C, a heat flux sensor measures the magnitude of the heat flux as 40 W/m². Assume that the thermal conductivity k is a linear function of temperature. a) If, when T₁ -40 °C and T₁ = 80 °C, the same heat flux sensor measures the magnitude of the heat flux as 80 W/m², what is the temperature dependence of k? b) If, when To=40 °C and T₁ = 80 °C, the same heat flux sensor measures the magnitude of the heat flux as 100 W/m², what is the temperature dependence of k? c) If, when T₁ -40 °C and T₁ = 80 °C, the same heat flux sensor measures the magnitude of the heat flux as 60 W/m², what is the temperature dependence of k?
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